Title: Little by little
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Title: Little by little
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Language: English
Creator: Department of Mathematics, University of Florida
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Place of Publication: Gainesville, Fla.
Publication Date: Spring 2005
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FLORIDA kitt by Little

y SPRING 2005

Report from the Chair

by Krishnaswami Alladi

-, HE academic year 2004-05 was an out-
S* " standing success highlighted by the Spe-
.' ~1 cial Year in Number Theory and Combi-
Snatorics. This Special Year had the maxi-
mum number of featured talks of wide appeal by emi-
nent mathematicians because both number theory and
combinatorics have a long history and also one can de-
scribe various important problems in the two areas
without requiring too much of a background. The
main events of the Special Year 2004-05 were four con-
ferences, two in combinatorics and two in number the-
ory spread evenly over the Fall 2004 and Spring 2005
semesters. The activities of the Special Year received
external support from the National Science Founda-
tion (NSF), the National Security Agency (NSA), and
the Number Theory Foundation (NTF), and base in-
ternal support from the College of Liberal Arts and
Sciences (CLAS) and the Office of Research and Grad-
uate Programs (RGP) of the University of Florida. The
main organizers of the Special Year in Number Theory
and Combinatorics were ...
Continued on page 2.

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)flla Cll1(1tiitiA;
tITe bxx, ; ill

itx -&&Iii~O

Special Year in Number Theory and

by Miklos Bona

?, ^HE Combinatorics and Number Theory
S -. Special Year got off to a stormy start.
u41' The Fifth International Workshop on Auto-
S. mated Deduction in Geometry, organized
by Neil White, took place between September 16 and
18, between hurricanes Frances and Jean, while hur-
ricane Ivan was attacking the Florida panhandle. It
is quite remarkable that with all these threats, all but
one participant showed up. The two invited speak-
ers were Ileana Streinu, from Smith College, and New
Jersey Board of Regents Professor Doron Zeilberger,
from Rutgers University. Several speakers stayed in
Gainesville for a few extra days, and gave talks at our
seminars. The longest such stay was that of Dong-
Ming Wang, from Paris and Beihang University in
China, who gave a colloquium on Automated Geo-
metric Reasoning. The main social event of the confer-
ence was a barbecue hosted by Neil and Mary White.
The workshop is organized every two years, and the
Gainesville workshop followed ...
Continued on page 3.

In this issue:
Pictures from the Special Year................... ............. 5
Newsflash ............. ......................... 8
Changes in the Mathematics Major ..........................8
Andrews Gives Eight Lectures during Two Months Visit.......9
Braiding Mathematics with Life Sciences ..................... 10
People ........................................ 12
CLAS / Math Dept Honors Thompson and Andrews........12
Retirees Emch and Townsend Honored................. 14
The Christmas Party and Annual Appreciation Day..........16
Faculty and Staff Notes ........... ............... 19
Alumni News .............. ............ .........23
A Note of Thanks .............. ............ ....... 24


Report from the Chair
by Krishnaswami Alladi

Continued from page 1.

...Professors Frank Garvan, Miklos Bona, Richard
Crew and Neil White, with the assistance of Professors
Alexander Berkovich, Norm Levin, and Kevin Keat-

The year's activities opened with a Workshop on Au-
tomated Deduction in Geometry, September 16-18,
2004, organized by Professor White in collaboration
with Professor Mira Sitaram (Computer Science) and
Hoon Hong (North Carolina State University). Profes-
sor Donming Wang (Beihang University, China and
CNRS, Paris) gave a featured History Lecture dur-
ing the conference. This was followed by an In-
ternational Conference on Additive Number Theory,
November 17-20, 2004, organized by Professors Gar-
van, Berkovich and me. For the first time, this confer-
ence brought together researchers in three areas of ad-
ditive number theory, namely, the theory of partitions
and q-series, Goldbach and Waring type problems,
and bases and their asymptotics. The conference was
inaugurated by associate Dean Jack Sabin of CLAS.
The work of the Indian genius Srinivasa Ramanu-
jan dominated the discussions and so it was fitting
that the conference featured a History Lecture by Ra-
manujan biographer Professor Bruce Berndt (Univer-
sity of Illinois, Urbana) on the topic Ramanujan: his
life, friends, notebooks, and identities for the Rogers-
Ramanujan functions.

Professor Richard Stanley of MIT, arguably the most
eminent combinatorialist in the world, gave the Sev-
enth Ulam Colloquium on October 11, 2004, on the
topic A survey of lattice points in polytopes for which
Dean Neil Sullivan of CLAS made the opening re-
marks. Fall 2004 had two other featured talks-a His-
tory Lecture by Professor Gyula Katona (Alfred Renyi
Institute, Budapest) on History of the extremal prob-
lems for set systems, and another History Lecture by
Professor David Bressoud (Macalester College) on The
alternating sign matrix conjecture.

There were conferences of the Special Year in Spring
2005. The first was on Arithmetic Algebraic Geometry
organized by Professors Crew, Keating, and Levin dur-
ing February 28 to March 4, 2005. Dean Neil Sullivan
inaugurated this conference. This was followed by

an International Conference on Pattern Avoiding Per-
mutations, March 7-11, 2005, organized by Professor
Bona. This well known conference held at different lo-
cations each year, was brought to our department now
because of our Special Year in Number Theory and
Combinatorics. Regents Professor Doron Zeilberger of
Rutgers University gave a History Lecture during the
conference on the revolutionary W-Z method. Here
W stands for Herb Wilf and Z for Zeilberger. It was
fitting that Professor Wilf, who won the AMS Steele
Prize with Zeilberger for this contribution, gave the
opening remarks for this lecture.
One of the highlights of the Special Year 2004-05 was
the two month visit of Evan Pugh Professor George
Andrews of Pennsylvania State University, who gave
a series of six lectures on Ramanujan's Lost Note-
book during January-March, 2005 in the joint Combi-
natorics / Number Theory Seminar. In addition, Pro-
fessor Andrews gave two general lectures on the joy
of collaboration in interdisciplinary research, and on
mathematics education. These general lectures were
organized by the CLAS Dean's Math-Sci Committee.
Another distinguished speaker in the joint Combina-
torics / Number Theory Seminar in Spring 2005 was
Hershel Farkas of the Hebrew University, Jerusalem,
who gave two talks on The theta function in number
theory and combinatorics.
In collaboration with the France-Florida Research In-
stitute (FFRI), the department arranged the visit of Pro-
fessor Michel Waldschmidt (Paris), who recently fin-
ished his term as President of the French Mathemati-
cal Society. Professor Waldschmidt gave a History Lec-
ture on the topic Elliptic functions and transcendence.
The week of March 7-11, 2005, was bursting with ac-
tivity at the highest level. Fields Medallist Richard
Borcherds of U.C. Berkeley gave the Seventh Erdis
Colloquium on the topic Feynman path integrals and
the Bernstein polynomial. It was fitting that Dean Sul-
livan, who is a physicist, gave the opening remarks
for this lecture. On March 10, 2005, Professor Carl
Pomerance of Dartmouth University, a world author-
ity in the areas of primality testing, factoring large
numbers, and cryptography, gave the Second Center
for Applied Mathematics (CAM) Colloquium on the
topic A primal screen. Vice-President of Research Dr
Win Phillips gave the Opening Remarks for this lec-
The activities of the Special Year 2004-05 concluded
with the visit of National Academy of Sciences Mem-


ber Professor Richard Askey of the University of Wis-
consin who gave three lectures during March 21-22,
2005-a featured talk entitled Some history of orthog-
onal polynomials, a lecture on mathematics education,
and a talk for Pi Mu Epsilon, our undergraduate math-
ematics club.
Not all major activities of 2004-05 were part of the
Special Year in Number Theory and Combinatorics.
A major event outside of the Special Year program
was the Eleventh Southeastern Logic Symposium, or-
ganized by Professor Jindrich Zapletal. This well es-
tablished conference series has now found a base in
Gainesville thanks to the laudable efforts of Professor
Zapletal and his contract with the National Science
Our department has always maintained a healthy bal-
ance between research and teaching. Each year for
the past several years, our department has been recog-
nized with a CLAS Teaching Award and this year was
no exception. Two time TIP award winner Professor
Theral Moore was given the CLAS Teaching Award in
Spring 2005.
In April 2005, at a College of Liberal Arts and Sciences
ceremony, Computer Assistant Mr Brian Roberts and
Administrative Assistant Ms Sharon Easter were rec-
ognized for completing ten and twenty years of ser-
vice, respectively. In order for a large department like
ours to function smoothly, we need to have a dedi-
cated and competent staff, which we fortunately do.
We are very thankful to Sharon, Brian, and other staff
for their enthusiastic, efficient, and dedicated service.
As in previous years, the department was successful
in its hiring efforts this year also. Hua Wang who is
receiving his PhD from the University of South Car-
olina will be appointed a John G. Thompson Research
Assistant Professor in Fall 2005. Also, Dr Michael Jury,
an expert in functional analysis, will join the depart-
ment in Fall 2005 as a tenure-track assistant professor.
Dr Sergei Shabanov who has been an adjunct profes-
sor in our department for the past several years, and
a visiting assistant professor during 2004-05, will also
join the department as a tenure-track assistant profes-
sor in Fall 2005. In addition, the department will ap-
point Drs Larissa Williamson and Jason Kozinski as
lecturers starting in Fall 2005.
Two of our colleagues, Professor Gerard Emch and Se-
nior Lecturer Marvel Townsend retired at the end of
the academic year 2004-05. Both of them have been
awarded Emeritus status. We thank them for their

dedicated service and look forward to continued asso-
ciation in the years to come. As part of the Annual Ap-
preciation Day, April 21, 2005, we had a ceremony in
honor of Professor Emch and Ms Townsend. Professor
Charles Radin of the University of Texas, Austin, a for-
mer student of Professor Emch, spoke about his con-
tributions. Our colleague Professor Bruce Edwards
spoke about the contributions of Ms Townsend.
On April 30, 2005, during the CLAS Commencement,
Graduate Research Professor John Thompson was
honored with the title of CLAS Distinguished Scholar.
This was in recognition of his many significant contri-
butions to mathematics in general and in appreciation
of his role in enhancing the reputation of the math-
ematics department. On March 7, 2005, a reception
jointly hosted by the Mathematics Department and
the College of Liberal Arts and Sciences was held at
the Keene Faculty Center in honor of Professors John
Thompson and George Andrews. At this reception,
Thompson was honored for the CLAS Distinguished
Scholar title, and Andrews was thanked for his role
in enhancing research in the UF mathematics depart-
ment through collaborations and lectures. UF Presi-
dent Bernie Machen graced the occasion. The recep-
tion was held at this time in March to coincide with
the peak period of distinguished visitors in the depart-
Thus 2004-05 ended on a high note and 2005-06 which
promises to be just as exciting, will be highlighted by
the Special Year in Probability and Analysis. I look for-
ward to working with our faculty, students, and the
staff as well as with the university administration to
continue raising the level of accomplishment of the
mathematics department.

Special Year in Number Theory and
by Miklos Bona

Continued from page 1.

... previous meetings in Toulouse, Beijing, Zurich, and
Linz, and will be followed by a workshop in Spain in
The next major event for combinatorialists was the
Ulam Colloquium, on October 11, given by Norman
Levinson Professor of Applied Mathematics Richard


Stanley of MIT. Professor Stanley has many ties to our
Department. He interviewed here (and received an of-
fer) for a tenure-track position in his youth, was the
graduate-school friend of Neil White, and the PhD ad-
visor of Miklos Bona. The title of Richard Stanley's
talk was A Survey of Lattice Points in Polytopes, and
he gave a very enjoyable presentation starting with
widely accessible examples and reaching cutting-edge
research at the end. Professor Stanley's two-day visit
concluded by a talk at the Combinatorics Seminar.
In early November, Gyula O.H. Katona, director of the
Alfred Renyi Institute of Mathematics of the Hungar-
ian Academy of Sciences visited our Department for
two days. He gave a history lecture on Extremal set
systems on November 1, and a more specialized talk
at the Combinatorics Seminar on the following day.
The next major event was a very well-attended Con-
ference on Additive Number Theory, November 17-20,
2004, organized by Krishnaswami Alladi, Alexander
Berkovich and Frank Garvan. The conference had
more than 50 presentations, which were sometimes
given in parallel sessions.
Plenary speakers were George Andrews, Pennsylva-
nia State University; Jean-Marc Deshouillers, Uni-
versity of Bordeaux II; Basil Gordon, UCLA; James
Lepowsky, Rutgers University; Melvyn Nathanson,
Lehman College (CUNY); and Ken Ono, University
of Wisconsin. The main social events were a party
hosted by Mathura and Krishna Alladi, and a ban-
quet at the Sovereign restaurant. In addition to par-
ticipating in the conference, Evan Pugh Professor of
Mathematics Andrews gave a program of eight lec-
tures in the Number Theory / Combinatorics Seminar
and also gave several lecturers for a more general audi-
ence at the Keene Faculty Center as part of a lecture se-
ries sponsored by the new interdisciplinary Mathemat-
ical Sciences Committee. On February 14, Andrews
gave a particularly interesting presentation on The joy
of collaboration-why pure mathematical scientists
should not mind their own business. Also, Andrews
gave an after dinner presentation in March at the In-
dian Educational and Cultural Center in which he told
more about his early days in graduate school and how
he came to discover the lost notebooks of Ramanujan
while attending a conference in Cambridge University
and browsing in the Wren Library. At the Confer-
ence on Additive Number Theory, UF faculty mem-
bers Professor Alex Berkovich and the most recently
appointed Thompson Assistant Professor Hemza Yesi-
lyurt spoke at this meeting, both reporting on joint

research with fellow faculty member Frank Garvan.
Berkovich spoke on Infinite products with nonnega-
tive coefficients and Yesilyurt spoke on Shifted and
shiftless partition identities.
The week following the number theory conference
was marked by the visit of Robin Thomas of Georgia
Tech, hosted by Andrew Vince. Professor Thomas
gave a very accessible history lecture on the Four-
color theorem and related areas, and a seminar talk
the following day. Suzanne and Andrew Vince hosted
a party in his honor.
As always, January and most of February was re-
served for the talks and visits of candidates for tenure
track positions. The special year then continued dur-
ing Spring Break, with a Conference on Arithmetic
Geometry, organized by Richard Crew, Kevin Keat-
ing and Norman Levin. The conference was opened
by Neil Sullivan, and featured 15 one-hour talks. In
particular, Crew spoke on Arithmetic D-modules on
the unit disk and Levin spoke on On the topological
Hochschild cohomology of exact categories. The main
social event was an excursion to Ichetucknee Springs
and organizer Crew was happy that nobody fell into
the cool springs on this outing.
The week following the Spring Break, March 7-11,
was perhaps the busiest week of the year. On one
hand, we hosted the Third International Conference
on Pattern Avoiding Permutations. The organizer was
Miklos Bona. In the last two years, the conference
took place in Dunedin, New Zealand, and Nanaimo,
BC, Canada. This year, the conference enjoyed record
participation (23 talks). Three talks were given by UF
graduate students, Rebecca Smith, Dan Warren and
Micah Coleman. We held a problem session, and an
extra talk given by Michael Albert on a recent spectac-
ular result he proved, along with four co-authors. The
keynote speaker was Doron Zeilberger. Participants
were invited to attend a noon CLAS and Mathemat-
ics Department Reception in honor of John Thomp-
son and George Andrews at the Keene Faculty cen-
ter (and most of them found the way there). The de-
partment was specially fortunate in having not only
Dean Neil Sullivan of CLAS making remarks as part of
the program, but also new University of Florida Pres-
ident Bernie Machen attended and made a brief pre-
sentation. During the Conference on Pattern Avoid-
ing Permutations, it was decided that the next two
conferences will take place in Reykjavik, Iceland, and
in Saint-Andrews, Scotland. The best papers of this
year's conference will be published in a special issue


of Advances in Applied Mathematics.

On the other hand, the same week featured three
distinguished lectures that were not associated with
the conference. On March 7, Fields Medalist Richard
Borcherds (U.C. Berkeley) delivered this year's Erdos
Colloquium, entitled Feynman integrals and the Bern-
stein polynomial. Two days later, Doron Zeilberger
gave a history lecture on the WZ-method. Finally, on
March 10, Carl Pomerance (Dartmouth) gave a talk on
primality testing with the catchy title A new primal
screen, rather than "scream". As this was the Second
Center for Applied Mathematics Colloquium, an ap-
plication was given to public key encryption and the

world wide web.
The special year concluded by the visit of Richard
Askey (Wisconsin), who gave not only a colloquium
talk tracing the history of orthogonal polynomials
from Legendre and Laplace, but also a talk at the Un-
dergraduate Math Club.
While the events of the Special Year are now over, the
activities are not. Krishna Alladi is working to put to-
gether a special volume containing the featured talks
presented in our department during these very enjoy-
able and eventful nine months. 4A

Pictures from the Special Year in Number Theory and Combinatorics

Participants of the International Conference on
Automated Deduction in Geometry in the Math
Dept Atrium on September 16, 2004. Seated in
the front right is Professor Donming Wang who
gave a featured History Lecture on Automated
Geometric Reasoning. Seated behind with his
UF Gator cap is Neil White, conference orga-

Professor Richard Stanley (MIT),
one of the most eminent com-
binatorialists in the world, with
Chair Krishna Alladi and fac-
ulty in our combinatorics group:
David Drake, Neil White, Miklos
Bona, and Andrew Vince.


Pictures from the Special Year in Number Theory and Combinatorics

Professor Richard Stanley delivering the Seventh Ulam Colloquium on A
survey of lattice points for polytopes on October 11, 2004. Professor Neil
White, a graduate school classmate, is in the front row taking notes.

Professor David Bressoud (Macalester College)
delivering a History Lecture on the Alternating
Sign Matrix Conjecture on October 29, 2004.

Professor Gyula Katonia (Hungarian Academy of
Sciences) delivering a History Lecture on Extremal
Problems for Set Systems on November 1, 2004.

Evan Pugh Professor George Andrews (foreground) introducing Profes-
sor Bruce Berndt (in the background) of the University of Illinois who
gave a History Lecture on Ramanujan, his Life, and Friends on Novem-
ber 18, 2004.
- I

Participants of the International Conference on Additive Number
Theory, November 17, 2004. Seated in the front row is Dean Jack
Sabin of CLAS who inaugurated the conference.

Professor Hershel Farkas (Hebrew University, Jerusalem) deliv-
ering the first of his two lectures on The theta function in com-
plex analysis and number theory on January 25, 2005.


Pictures from the Special Year in Number Theory and Combinatorics

Professor Michel Waldschmidt (Univ. Paris VI) deliv- Participants of the Conference on Arithmetic Algebraic Geometry held during
ering a History Lecture on Elliptic functions and tran- February 28-March 4, 2005. Organizers Professors Kevin Keating, Richard Crew,
scendence on February 21, 2005. The lecture was co- and Norm Levin are seated in the first, second and third rows respectively.
sponsored by the France-Florida Research Institute.

Fields Medallist
Richard Borcherds
(U.C. Berkeley) de-
livered the Seventh
Erdds Colloquium
on March 7, 2005
on the topic Feyn-
man path integrals
and the Bernstein

Distinguished Profes-
sor Doron Zeilberger
(Rutgers) gave a
History Lecture
on the W-Z algo-
rithm on March 8,
2005, introduced by
the "W", Professor
Herbert Wilf (U. of

Distinguished Professor Carl Pomerance (Dartmouth) gave the Vice-President of Research, Dr Win Phillips, made the opening
Second CAM Colloquium on The primal screen on March 10, 2005. remarks for this 2nd Center for Applied Mathematics Collo-


Pictures from the Special Year in Number Theory and Combinatorics

Professor Richard Askey (Wisconsin) delivered a
History Lecture on Orthogonal Polynomials on
March 21, 2005, as the formal events of the Special
Year drew to a close.


Changes in the Mathematics Major

by Larry Wilson

i OLLOWING last year's changes to the calcu-
lus sequence, this year the department has
| i made a change in the requirements for our
cWt-~^) undergraduate majors. Undergraduate Co-
ordinator Professor David Groisser detailed these de-
velopments during an April faculty meeting. The
most significant change is the end of the "package"
system for advanced courses. Previously, a major took
certain core courses and then four electives, two of
which had to be from one of five packages (pure math-
ematics, applied mathematics, physics, computer sci-
ence, and statistics and probability). Each package
listed several courses from which the student could
choose. Now, the students must just choose four
courses from a list of approved electives. This change
is viewed as a shift from forcing students to meet a
package requirement to advising them on intelligent
choices of electives.

The other most significant change comes in the award-
ing of degrees. Previously, a graduating student could
choose to receive either a Bachelor of Arts or a Bach-
elor of Science degree. Under the new system, each
degree has its own set of core courses associated. Both
degrees require the core courses Calculus 2 and 3, Dif-

ferential equations, Numbers and polynomials or Sets
and logic, Abstract linear algebra, and Abstract alge-
bra. The BS degree requires Advanced calculus 1 and
2 while the BA degree requires Advanced calculus for
engineers and physical scientists 1 and 2. Students opt-
ing for a BA are required to have one of their electives
be a 4000-level course in our department, while those
pursuing a BS must take three such electives.
As you see, we no longer require any statistics or com-
puter programming. Since this requirement had been
in place, the curricular content of the course offered
by Computer Science under the specified course num-
ber had changed so often that it was felt counterpro-
ductive to specify a particular requirement. The math-
ematical statistics course specified from the Statistics
Department had morphed into a course in probabil-
ity theory with no statistics taught during the first
semester. Hence, it was felt better for the department
to encourage students intending to work in an applied
mathematics career to take such courses as their elec-
tives, based on what sort of things other departments
are currently teaching in their courses. Students plan-
ning to teach at the secondary-school level are encour-
aged to take our Geometry course as one of their elec-
tives. We hope that these changes will allow our stu-
dents the flexibility to get the most out of their time
at UF while still ensuring that all of our majors have a
solid background. :Ao



George Andrews Gives Eight Lectures
during Two Months Visit

by Krishna Alladi

iv'. NE of the highlights of the Special Year in
Number Theory and Combinatorics was
Sthe two month visit of Evan Pugh Profes-
sor George Andrews of Pennsylvania State
University between January 20 and March 20, 2005,
during which he gave a series of eight lectures.
Andrews, a world authority on the work of the Indian
mathematical genius Srinivasa Ramanujan, gave six
lectures on Ramanujan's Lost Notebook at the joint
Combinatorics / Number Theory Seminar. The top-
ics of the six lectures were: 1. An overview: what did
Ramanujan have up his sleeve? 2. Heine's transfor-
mation, 3. Partial fractions, 4. Partial theta functions,
5. Wild things, and 6. Entire functions.

CLAS Dean Neil Sullivan making the opening remarks for An-
drews' first lecture on Ramanujan's Lost Notebook, January 24,
It was Professor Andrews who in the year 1976 discov-
ered Ramanujan's Lost Notebook at the Wren Library
in Cambridge University, and wrote a series of impor-
tant papers in the journal Advances in Mathematics in
which he explained the significance of Ramanujan's re-
sults in the Lost Notebook and in that process made
fundamental improvements as well. In 1987, during
the Ramanujan Centennial, the printed form of Ra-
manujan's Lost Notebook by Springer-Narosa was re-
leased by Prime Minister Rajiv Gandhi of India who

presented the first copy to Mrs Ramanujan, and the
second copy to Professor Andrews in recognition of
his contributions.

Evan Pugh Protessor George Andrews (Penn State University) de-
livering the first of his series of six lectures on Ramanujan's Lost

iroressor George Anarews aeliverea a lecture at tne Keene Iac-
ulty Center on February 14, 2005 on Mathematics and Interdisci-
plinary Research.

The original two notebooks that Ramanujan main-
tained in India prior to his departure to England have
been edited in detail by Professor Bruce Berndt of the
University of Illinois and published in five volumes by
Springer. Now, Professors Andrews and Berndt have
undertaken the enormous task of editing Ramanujan's
Lost Notebook, which too will appear as a series of vol-
umes published by Springer. "There is still much to
understand about the implications of many results in
the Lost Notebook and their connections with current
research which is one of the reasons to edit the Lost
Notebook", said Professor Andrews. The first of these



volumes will appear in 2005 and at least two more vol-
umes will be forthcoming. "The mathematical content
of the Lost Notebook is so immense, that it is difficult
to predict at this time how many volumes it will take
to completely edit it", he added.
In addition to being a world class research mathemati-
cian, Professor Andrews is an outstanding teacher and
has been actively involved at the national level on var-
ious issues relating to mathematics education. During

this visit, at the invitation of the CLAS Dean's Math-
ematical Sciences Committee, he gave two lectures of
wide appeal on the topics The joy of collaboration-
why pure mathematical scientists should not mind
their own business, and on Research mathematical sci-
entists and mathematics education.

Braiding Mathematics with Life Sciences: Weaving Future Tapestry

by Paul Ehrlich

L,.o" T has been widely written that as the latter
. half of the 20th century saw the ascendance
of the silicon chip, that the 21st century is
''-. to be the century for the ascendance of bi-
ology. The January 10, 2005 issue of Forbes magazine,
for instance, named the biotechnology company Am-
gen as the Company of the Year, noting it "is on the
brink of a research renaissance that will target cancer,
diabetes and more."

During the past few years, the Editor has personally
seen several signs confirming the century of biology.
First, on a trip back to the University of Missouri dur-
ing May 2003 to participate in the BeemFest, he no-
ticed that the parking lot of the Physics Building, well
known to him from his 11 years at that institution and
occasional classroom teaching in Physics, was now a
vast construction site. The Missouri physicists were
shorn of their gated parking lot, sacrificing to make
way for the Life Sciences Center, which opened in
May 2004, focusing immediately on plant responses
to the environment and disease, behavioral and devel-
opmental neuroscience, and stress response and cel-
lular transport in animal cells. Second, while leaf-
ing through Science magazine during November 2004
while giving a calculus 3 exam, the Editor noticed an
advertisement of open positions in a think tank de-
voted to biomathematics and statistics surprisingly of-
fered by the D.E. Shaw investment management firm
of New York. This firm remains involved in trading fi-
nancial instruments using quantitative techniques and

venture capital investments. However, the corporate
web site revealed that now D.E. Shaw had decided
that time was ripe for direct investment in advanced
computational techniques that could impact on the
way drug development was conducted, for one exam-
ple, and that the think tank could aid the venture cap-
ital division of D.E. Shaw through expertise gained
from in-house biomathematics research in the forma-
tion of new cutting edge technology companies in the
bioscience area.

A third sign that somewhat surprised the Editor was
the departure in 2001 of Professor Avner Friedman
from the Institute for Mathematics and its Applica-
tions at the University of Minnesota (a pioneering
institution which has seen current faculty members
Professors Jay Gopalakrishnan, Shari Moskow, and
Maia Martcheva participate in its postdoctoral pro-
gram) for Ohio State and a Professorship of Mathe-
matics and Physical Sciences. There Friedman partic-
ipated in a successful grant application to the NSF's
Division of Mathematical Sciences which led to the es-
tablishment of The Biomathematics Institute at Ohio
State in 2002. With corporate members Pfizer, Eli
Lilly, and Glaxo Smith Kline, the mission statement
of this institution includes "to develop mathematical
theories, statistical methods, and computational algo-
rithms for the solutions of fundamental problems in
the biosciences", and the web site also speaks of rev-
olutionary advances in basic science and technology
including medical imaging, nanoscale bioengineering


and gene expression arrays resulting in such a deluge
of experimental data that scientists are challenged to
produce mathematical solutions to analyzing and re-
structuring the data in a meaningful way. The title for
this article is almost identical to that used by Dr Rita
Caldwell, Director at the NSF, in a lecture she deliv-
ered at the gala opening ceremony for this new Ohio
State center in October 2002. However, her title in-
cluded "braiding mathematics and statistics"...
Fortunately for us, one of our own faculty mem-
bers, Professor Sergei Pilyugin himself, specializes
in biomathematics and spent April 2004-June 2004 as
a Long Term Visitor at this Biomathematics Institute.
Thus it seemed timely to interview him for an article
in the Little Review on his views on the century of bi-
ology and biomathematics.

E: Professor Pilyugin, let us begin by asking you to
summarize the research areas which you investigated
while a Long Term Visitor at the Ohio State Biomathe-
matics Center last spring.

P: Thank you for this opportunity to share my MBI ex-
periences with our colleagues.
First, let me tell you a little bit about the Institute and
its functions, and my role as a long term visitor. The
MBI is a relatively small entity that consists of two per-
manent faculty members (director, A. Friedman, and
an associate director, Tony Nance), 8-10 postdocs with
2-3 year long appointments, and typically 2-3 rotat-
ing visitors. The NSF grant given to the MBI totals
$10 million for five years. These five years of the In-
stitute are dedicated to various areas of biomedical re-
search (somewhat similar to our own Special Years).
The long term visitors who are experts in the corre-
sponding area are invited for 1-2 quarter terms.
Their duties typically involve running the local MBI
seminar, organizing the MBI workshops, inviting
short-term visitors, and interacting with other MBI res-
idents. For instance, the Spring 2004 Quarter at MBI
was dedicated to immune models and host-pathogen
interactions under the umbrella of a more general sub-
ject of cellular processes for the entire 2003-04 aca-
demic year.
During my visit, the Institute was in the process of
transition to the next research area, and it just so hap-
pened that I was a lone long-term visitor at the time.
Most of the postdocs were doing research in neural
dynamics mentored by the OSU math professor David
Terman, and two postdocs were working with Avner

Friedman on cancer models. So I did get a chance to
learn a little bit about both areas, especially in neural
models which is a truly fascinating subject. Hopefully,
when I get tenure and the pressure to publish will di-
minish, I will have enough time to do some meaning-
ful work in this area.
Anyways, I gave a series of seminars on both immune
modeling and microbial growth kinetics that are really
my areas of expertise. In addition, I co-organized two
MBI workshops: Workshop 5 on Immunological Mod-
els and Workshop 6 on Host-Pathogen Interactions. I
also gave talks in each of the workshops with titles
Quantifying the immune cell turnover: Existing ap-
proaches to the same problem, and Some remarks on
backward bifurcations and the role of coinfection in
multi-disease dynamics. Finally, I participated in the
tutorials for both of these workshops.
To bring more flavor to the program, I invited four
short term visitors all of whom are in the beginning
of their careers: Miriam Nuno (Cornell University
and Arizona State University) who works with multi-
strain models of influenza; Irakli Loladze (Univer-
sity of Nebraska, Lincoln) who is an expert in envi-
ronmental stoichiometry; Daniel Coombs (University
of British Columbia) working with viral-host inter-
actions; and finally, my collaborator Vitaly Ganusov
(Emory University) who works with mathematical
models of immunological memory.
Finally, since I had a three-month-long period free
of teaching, it was a great opportunity to work on
some individual research. I worked on seven papers,
some of those are now published, and some are still in
E: Over the past several years, I have been seeing a
lot of articles in the financial press on how computer
and mathematical modeling is supplanting chemical
experimentation in drug research by biotech compa-
nies and big pharmacology companies. I wrote in my
introductory remarks that leading big pharma compa-
nies Eli Lilly, Pfizer, and Glaxo Smith Kline are institu-
tional members of the Ohio State Biomathematics In-
stitute. Did you see any evidence of this trend yourself
from associates of these firms at the Institute ?
P: Oh, yes. The presence of Big Pharma (and the smell
of big money) was certainly there. Once, I attended
an MBI presentation given by Alexander Varshavsky
who is a senior researcher at Eli Lilly. Accidentally,
Mr Varshavsky is a mathematician and a former stu-
dent of Boris Mityagin who is a distinguished func-


tional analyst from Russia presently at Ohio State. At
that time, Alexander gave a complex talk on several
research issues, but most importantly he wanted to es-
tablish a collaboration with people at MBI. In particu-
lar, he made it very clear that Eli Lilly (and, I guess,
other big companies) are eager to commit resources to
various kinds of biomathematical research, both ana-
lytical and computational.
Of course, one has to understand the rules of the game.
For me personally, the most troublesome issue is the
confidentiality. During my visit to MBI, they had a
postdoc sponsored by Pfizer. The first thing he did
was sign the confidentiality agreement essentially pro-
hibiting him from sharing all sorts of research with
other residents at MBI. The poor fellow explained this
to me when I asked him to give a local seminar. I
am not sure how this protocol fits into the idea of aca-
demic freedom, but the Big Pharma is certainly wor-
ried about improper dissemination of their big and
small research secrets. They have the money and are
willing to give it away, but they also write the play-
There were other interesting things at MBI. One day
at lunch, Avner Friedman talked about a big model-
ing project involving a computer- based study of po-
tential toxicity for new medicines. Just like modern
chemists can rule out some theoretical compounds as
poor reagents (these computer simulations save a lot
of time and money), the pharmaceutical companies
wish to have a software that would red flag the exper-
imental medicines as potentially toxic before they go
to the animal and human trials.

E: Yes, those issues of confidentiality and secrecy can
be vexing. Around 25 years ago, while visiting my
parents in California, I got to hear a presentation from
the head of Chiron at the small luncheon meeting of
the Commonwealth Club of California. He revealed
precisely nothing in a half hour.
Another big talking point on the part of university ad-
ministrations, especially where new programs in the
biosciences are concerned, is interdisciplinary cooper-
ation. How have you and Professor Maia Martcheva
personally found this aspect of the University of
Florida ?

P: From day one, it was my understanding that one
of my responsibilities was to serve a liaison between
the math department and other departments at UF
Since the university is huge, the opportunities for in-
terdisciplinary research are plentiful. I was lucky in
finding a collaborator in Chemical Engineering whose
research interests were very close to my work on mi-
crobial growth. At this stage, we have outlined a
large scale modeling project aiming at the comprehen-
sive models) of adaptive responses in mixed micro-
bial populations. We have several graduate students
involved. Over the past 3-4 years, we published 7 pa-
pers in various journals.
As far as I know, Professor Martcheva has also started
collaborating with the theoretical ecology group led
by Professor Robert Holt, a prominent figure in the


CLAS / Math Department Reception
Honors Professors Thompson and

by Larry Wilson

i '. N March 7, 2005, a reception jointly spon-
scored by the Mathematics Department and
the College of Liberal Arts and Sciences
Swas held at the Keene Faculty Center. This
was in honor of Graduate Research Professor John
Thompson for the award of the CLAS Distinguished

Scholar title, and Evan Pugh Professor George An-
drews of The Pennsylvania State University for his
two month visit to the University of Florida.
UF President Bernard Machen graced the occasion
and thanked Professor Thompson for his inspiring
presence which has brought international recognition
to the department, and appreciated Professor An-
drews' influence in enhancing research in the Mathe-
matics Department through his collaborations. Dean
Neil Sullivan of CLAS described the purpose of cre-
ating the Distinguished Scholar Award to recognize
truly outstanding contributions. He said that by
awarding this title to Professor Thompson, the high-
est standards have been set. The Dean also expressed



his appreciation to Professor Andrews for his inspir-
ing set of eight lectures which were jointly sponsored
by CLAS and the Mathematics Department.

Chair Krishnaswami Alladi, who referred to Profes-
sor Thompson as the crown jewel of the mathemat-
ics department, announced the publication of refereed
proceedings of two conferences on Group Theory and
Galois Theory held in 2002-03 during the Special Year
in Algebra in honor of Thompson for his 70 thbirthday.
The Group Theory proceedings were edited by Pro-
fessors Chat Ho, Peter Sin, Pham Tiep and Alex Tu-
rull. The Galois Theory proceedings were edited by
Professor Helmut Voelklein and his former UF PhD Math Chair Alladi presenting Graduate Research Professor John
student Tanush Shashka. Alladi presented copies of Thompson with the two refereed proceedings of the conferences
the two proceedings to President Machen, Dean Sul- held in Thompson's honor during the Special Year in Algebra
livan, and Professor Thompson. Alladi expressed his 2002-03.
appreciation to Professor Andrews for his two month
visit and lectures which were among the main events
of the Special Year in Number Theory and Combina-
torics 2004-05.

UF President Bernie Machen speaks at the reception honoring Pro-
fessors George Andrews and John Thompson.

Math Chair Krishna Alladi welcoming the chief guests (from left
to right) CLAS Dean Neil Sullivan, UF President Bernie Machen,
Prof. John Thompson, Prof. George Andrews and Mrs Joy An-

The Reception was held at this time of the year to
also coincide with the peak period of activity of the
Special Year program. The reception was attended "
by mathematics department faculty and staff, partici-
pants of the Conference on Pattern Avoiding Permuta-
tions, and distinguished visitors including Steele Prize
Winner Herb Wilf of the University of Pennsylvania,
and Fields Medallist Richard Borcherds of U.C. Berke- 1998 Fields Medalist Richard Borcherds (U.C. Berkeley) dis-
ley who delivered the Seventh Erdis Colloquium that cussing with our distinguished colleague John Thompson, who
same afternoon at 4:00pm. won the Fields Medal in 1970.



Retirees Emch and Townsend Honored

by Paul Ehrlich

A^ -)N Thursday, April 21, 2005, prior to the an-
nual Appreciation Tea in the Atrium, de-
partment members gathered in Little 113
during 6th period to enjoy tributes to two
retirees for this academic year, Professor Gerard Emch
and Senior Lecturer Marvel Townsend.
.. . ~ ... ...

vrotessor Uerard hmch and his former student vrotessor Lharles
Radin, who summarized Gerard's scientific achievements.

Professor Charles Radin of the University of Texas
at Austin, the second graduate student to receive the
PhD with Emch as supervisor at the University of
Rochester, accepted the task of summarizing Emch's
scientific contributions and also delivered a Special
Colloquium the prior Wednesday on Hilbert's eigh-
teenth problem on the densest packing of spheres,
tetrahedra, and other shapes. One aspect of Radin's
Wednesday presentation was how, after treating math-
ematical aspects of the problem during the first part
of the lecture, Radin then applied insights from the
physics of phase transitions between solids, liquids
and gasses back into the mathematical issues in his
concluding remarks. Speaking Thursday noon On
the work of Professor Gerard Emch, Radin took the
approach of setting Emch's research in the context
of his scientific ancestry, going back to Benjamin
Pierce and Nathaniel Bowditch of Harvard in the
early 1800's, see http://www.ma.utexas.edu/users/
radin/ancestry, html for a complete table with dates
and titles. Radin particularly commented that Emch's

having taken the Masters in experimental physics and
then changed to theoretical physics under Professor
Josef Jauch at the University of Geneva fit well into
Emch's scientific ancestry.

In Emch's earlier education, prior to entering the Uni-
versity of Geneva, he studied at the College Calvin, an
institution founded by the protestant theologian John
Calvin in 1559 to educate the citizens of Geneva. Ger-
ard graduated from this institution with the best grade
point average of all four sections (Classique, Latine,
Scientifique, and Moderne) and so was forced by his
father to accept the honor of carrying the college flag
at graduation. According to Radin, the group around
Jauch at the University of Geneva was interested then
in foundations of quantum theory. After receiving his
PhD, Emch served as Chef de Travaux in Physics and
Mathematics at Geneva, and in this role, as is custom-
ary in Europe, wrote up lectures from a course by Pro-
fessor Jauch, and in so doing was involved in produc-
ing the first draft of Jauch's book on the Foundations
of Quantum Mechanics. This appointment was fol-
lowed by a year's postdoc at Princeton in 1964-1965
under Valery Bargmann and a second postdoc the next
year at the Institute for Applied Mathematics at Mary-
land before Emch joined the University of Rochester
Physics Department as an Assistant Professor in 1966.
There Radin related that, in his second year as a grad-
uate student at Rochester, he took a graduate course
Emch was offering in quantum theory in his first year
as a faculty member. These interests would lead to
Emch's publication in 1972 of his first book on Alge-
braic Methods in Statistical Mechanics and Quantum
Field Theory with Wiley Interscience; Radin charac-
terized this work in his presentation as the first book
to appear with a new approach to the foundations of
quantum theory where Emch married quantum the-
ory with the classical formalism of K-flows to obtain
a new method of modelling dissipation in nonequilib-
rium statistical mechanics.

From Emch's beginnings in theoretical physics, Radin
commented that Emch's interests have become so
broad, spreading to geometry, then perhaps settling
into an area of early interest, philosophical implica-
tions, that no one could possibly summarize all that
Gerard had done. These broad interests are reflected
in the publications of two further books, the first



Mathematical and Conceptual Foundations of 20th
Century Physics in 1984 in Elsevier North-Holland
Mathematical Studies, and the second, written with
a Professor of Philosophy at the University of Florida,
Chuang Liu, on The Logic of Thermostatistical Physics
in 2002 with Springer Verlag. Reflecting these broad in-
terests Emch guided 12 PhD students graduating from
Rochester and 2 PhD students graduating from the
University of Florida in widely different thesis topics.
Among Emch's many distinguished visiting appoint-
ments, Radin mentioned the Gauss Professorship at
the Academy of Sciences in G6ttingen, held during
1985, and more recently, Emch's election as a Visiting
Fellow at All Souls College, University of Oxford in
2002, where Emch was also a visitor in the Depart-
ment of Philosophy. Among his most current projects
have been a study with his wife Professor Antoinette
Emch-Deriaz on how faithful was Madame Emilie
du Chatelet in translating Isaac Newton into French
and a study on From geometry to analysis : Newton,
Clairaut and beyond. Toward the end of 6th period,
Chair Alladi read from several letters of tribute sent by
former PhD students of Emch, and all, in addition to
our speaker Charles Radin, recalled Emch's decisive
influence in their scientific development as a mentor.
In the early 1980's, events led to an expansion plan
for the department of mathematics at UF to add 20
new positions. As part of this campaign, an outside
Chair was selected and Emch left Rochester for Florida
in 1986 to assume this Chairmanship. At the Recog-
nition Tea, both Graduate Coordinator Paul Robin-
son and Undergraduate Coordinator David Groisser
spoke briefly of Emch's decisive impact in their re-
cruitment to the University of Florida. Professor John
Klauder also sent similar laudatory remarks to be read
during the ceremony. The editor of this newsletter,
who came during 1987-1988 in the first year of the ex-
pansion plan as the senior appointee in differential ge-
ometry and hence himself experienced Emch's recruit-
ment methods, can also testify to the zeal and energy
which Emch brought to the building program. In ser-
vice outside the university setting, Emch served the In-
ternational Association of Mathematical Physics dur-
ing 1988-1999 as treasurer, US bursar, and board mem-
ber. He was involved in the founding of the journal
Reviews in Mathematical Physics and served as an ed-
itor during 1988-2001. He has also served on the Edito-

rial Boards of Reports on Mathematical Physics, Stud-
ies in History and Philosophy of Modern Physics, and
as an Associate Editor of the Journal of Mathematical

Following Radin's presentation on Emch, Chair Kr-
isha Alladi introduced Professor Bruce Edwards, as
a representative of the outstanding teaching in the
department, to speak about Senior Lecturer Marvel
Townsend's contributions to the department and uni-
versity. Edward's first comment was that "we all
dread this moment-what will we do without Mar-
vel?" Townsend received her BS in mathematics from
Wake Forest and an MAT degree from Duke. She ar-
rived in Gainesville in 1981 with her husband Frank,
an engineering faculty member, and has served full
time in the department since 1982. She has served
as Coordinator of Precalculus since 1984, an assign-
ment that in fall 2002 involved oversight of 2600 stu-
dents. This role calls for making up the common ex-
ams, arranging for proctors, and supervising armies
of TAs. She has also served in the very important
role of TA Supervisor since 1986 and in recent years
that role also involved conducting fall training work-
shops for the new TAs as well as making classroom
visits during the semester as part of the training pro-
gram. (A note was read from a former high school
teacher who became one of our TAs relating on how
helpful Townsend's comments from the classroom vis-
its particularly, and teacher training program overall,
had been to him.) The relatively high number of teach-
ing awards that our nominated graduate students re-
ceive speaks to the effectiveness of this training pro-
gram. Her own teaching has been recognized by the
receipt of a CLAS Teaching Award during 1994-1995,
a TIP Award in 1998, and being named as an Ander-
son Scholar Faculty Nominee in 1999 and finally by
her promotion to the new rank of Senior Lecturer in

As UF evolved and a greater emphasis came to be
placed at the institutional level on teaching during
the presidency of John Lombardi, spearheaded by the
TIP award program, the department instituted a Semi-
nar on Teaching, as one aspect of the formation of the
new Teaching Innovation Committee, and Marvel of-
ten served as Chair of these activities. In addition,
Marvel has regularly served on the Undergraduate



Committee of the department and was the first of our
instructors to serve as Preview Advisor. One aspect
of the Seminar on Teaching were sessions devoted to
using technological aids such as the graphics calcula-
tor in the classroom. But beyond this departmental
venue, Marvel was further active in this area in terms
of grant activities. She was first a co-principal investi-
gator on an NSF Succeed Grant involving engineering
applications in mathematics courses. Then she was
involved in an interdepartmental grant from the Mel-
lon Foundation involving comparison of online lec-
ture formats with live lectures. In this context, Marvel
developed a distance education version of precalculus
mathematics, online lectures for precalculus, and was
also (along with Professor Martin Vala of Chemistry)
one of the earliest users of WebCT on campus. Most
recently, Marvel was involved from 2002-2004 in the
PT3 Teaching and Technology Initiative with the Col-
lege of Education.
As mentioned in the news of the Appreciation Day
Ceremony and tea elsewhere in this issue, not only
did both retirees receive a Commemorative UF Plaque,

but as a special surprise, Interim Provost and Vice-
President for Academic Affairs Joseph Glover sent a
congratulatory e-mail to be read at the tea and also UF
Medallions which were presented by Professor Mu-
rali Rao to both retirees.

Ir I


Senior Lecturer Marvel Townsend with Professor Bruce Edwards,
who spoke about Marvel's many contributions to the department.

The Christmas Party and Annual Appreciation Day

As always, the staff prepared a bounteous spread for the Annual Christ-
mas party. CLAS Dean Neil Sullivan and Undergraduate Coordinator
David Groisser converse as everybody gathers for the feast.

CLAS Associate Deans Allen Burns, Yumiko Hulvey, and
Jack Sabin join an enthusiastic group of graduate students
plunging into the goodies.


The Christmas Party and Annual Appreciation Day

The audience delighted in Professor Rick Smith's annual roasting of the Chair Krishna
Alladi with well chosen gifts.

Graduate Coordinator Professor Paul
Robinson was the Master of Ceremonies,
for the Annual Appreciation Day, held on
April 2, 2005

Faculty advisor Professor Kevin Keating pre-
sented Deniz Kazanci with a certificate recogniz-
ing her service as President of Pi Mu Epsilon.

Faculty advisor Professor Shari Moskow recognized Qingguo Zeng (Sec-
retary/Webmaster) and Adnan Subuwala (President) for their role in the
SIAM Gators.

Michael Schroeder was recognized for his service as
Co-President of the Graduate Mathematics Association.

Graduate students Jung-ha An, Timothy Bonner, and Nicole Krochak
were presented with Certificates of Excellence in teaching by Marvel
Townsend, representing the Selection Committee.

VOL 19. NO 1.


The Christmas Party and Annual Appreciation Day

As part of the buffet, a retirement
cake for Emch and Townsend was en-
joyed by all.

Professor Theral Moore was recognized for his receipt of a
CLAS Teaching Award.

Staff members Administrative Assistant Sharon
Easter and Computer Systems Manager Brian
Roberts (not shown) were recognized for 20 and
10 years of service at UF respectively.

Retirees Emch and Townsend are shown with their University
of Florida Medallions recognizing their decades of service at

L taL

Chair Krishna Alladi accepts an award of $1,000 to the depart-
ment from University Copy and More.


I ~-

Graduate students, faculty, and staff filled the atrium to the seams,
enjoying the afternoon.



Faculty and Staff Notes

by Paul Ehrlich

c,'-L N between hurricanes Frances and Jeanne,
S,'" Professors Jean Larson, William Mitchell
'and Jindrich Zapletal traveled to the Cen-
tre Internationale de Rencontres Mathema-
tiques in Marseille, France, to participate in the Eighth
Luminy Set Theory Workshop held during September
20-24, 2004. Larson spoke on A partition theorem for
a large dense linear order and Zapletal spoke on Forc-
ing with quotients.
The University of Florida Office of Technology issued
an announcement in October 2004 calling for an indus-
trial partner to license algorithmic results obtained in
joint research of Professor William Hager of our de-
partment and Professors Yi Jiang and Jian Li in the
Department of Electrical and Computer Engineering.
The journal article The geometric mean decomposi-
tion providing the mathematical basis for the algo-
rithm has appeared in the journal Linear Algebra and
Its Applications.
Professors Krishna Alladi and Frank Garvan traveled
to India during December 2005 to participate in an In-
ternational Conference on Fourier Analysis and Num-
ber Theory conducted by SASTRA University in Ra-
manujan's hometown of Kumbakonam in South India.
Alladi delivered the Ramanujan Memorial Lecture on
December 22, Ramanujan's birthday, on Srinivasa Ra-
manujan and Probabilistic Number Theory and also a
plenary lecture at the conference on How many prime
factors does a number have? Garvan spoke on The
combinatorics of Ramanujan's partition congruence
and on Partitions and infinite products. The second
lecture represents joint work with Professor Alexan-
der Berkovich and our newest Thompson Asssistant
Professor, Hamza Yesilyurt. Berkovich was invited to
speak, but was unable to make this trip.
In further strengthening ties between the UF mathe-
matics department and the mathematical infrastruc-
ture in India, in 2004 Alladi was invited to set the ques-
tion papers for two Mathematics Olympiads in India.
The first of these was conducted in July 2004 by IN-
FOSYS, the largest computer software company in In-
dia. This was for high school students all over India.

Alladi also delivered a set of eight lectures, (four at
INFOSYS Madras and four at INFOSYS Bangalore) to
the participants of the Olympiad on the significance of
the Olympiad problems and their relevance to current
research. Alladi was also invited to set the question
paper for another Mathematics Olympiad conducted
by SASTRA University, The Shanmuga Arts, Science,
Technology Research Academy, (a private university
formed about 15 years ago in Ramanujan's hometown
Kumbakonam in the state of Tamil Nadu in South In-
dia). Over 3,500 students all over India took part in
this Olympiad which was conducted on December 26,
2004. SASTRA announced that the First Prize Winner
of the Olympiad will get an all expense paid trip to the
University of Florida for one month in 2005 to receive
training from our group here. The Olympiad winner's
stay at the University of Florida will be covered by a
grant from the Number Theory Foundation. SASTRA
will provide the international airfare.

In further developments of interest to the world math-
ematics community, SASTRA has purchased the home
of Srinivasa Ramanujan in Kumbakonam, where he
lived on his return from England to India just after
World War I, in order to preserve it as a museum. Thus
SASTRA is playing a crucial role in the preservation
of Ramanujan's legacy for posterity. In a further re-
cent development, SASTRA has instituted a Ramanu-
jan Prize of $10,000 to be awarded annually to a math-
ematician not exceeding the age of 32 for outstand-
ing contributions to an area of mathematics influenced
by the late Indian mathematical genius Srinivasa Ra-
manujan. Young mathematicians all over the world
are eligible for this award. The age limit has been
set at 32 because Ramanujan achieved so much in his
brief life of 32 years, and also to encourage doctoral
and post-doctoral research. Alladi has been invited
to head a panel of experts who will select the 2005
winner from nominations received from around the

The 10th SouthEastern Logic Symposium, organized
by Professors Douglas Cenzer and Jindrich Zaple-
tal was held at UF during April 15-17, 2005. In-
vited speakers were from both the areas of set the-
ory and of computability theory. As part of the con-
ference, participants Professor Vladimir Pestov of the
University of Ottawa, Professor Jeffrey Remmel of the



University of California at San Diego, and Professor
Slawek Solicki of the University of Illinois delivered
colloquium lectures in the department, with respec-
tive titles Geometry, dynamics, and combinatorics of
infinite-dimensional groups of transformations, Per-
mutation enumeration and symmetric functions, and
Haar null sets and amenability in non-locally compact
groups. Partial support for the conference was pro-
vided by an NSF grant.

Faculty, graduate students and alumni again par-
ticipated in the Joint Winter Mathematics Meeting
held this academic year during January 5-8, 2005
in Atlanta. Professor Douglas Cenzer spoke in an
AMS-ASL Special Session on Reverse Mathematics
on Proof-theoretic strength of the stable marriage the-
orem. Professor Shari Moskow spoke in an AMS-
SIAM Special Session on Theoretical and Computa-
tional Aspects of Inverse Problems on Targeted grid
approximations for geophysical inversion. Professors
Pham Tiep and Peter Sin participated in an AMS Spe-
cial Session on Algorithmic Algebraic and Analytic
Geometry, with Tiep lecturing on The non-coprime
k(GV) problem and Sin speaking on Permutation
modules and incidence matrices. Thompson Assis-
tant Professor Larry Wilson spoke in an AMS Ses-
sion on Algebra on Groups with fixed point free au-
tomorphisms of prime order. Graduate students Re-
becca Smith and Sheshadri Thiruvenkadam spoke
at the meeting. Thiruvenkadam spoke in an AMS-
SIAM Special Session on Mathematical Imaging on
Finding non-rigid correspondences between implicit
curves, research done with Professors David Groisser
and Yunmei Chen. Smith spoke in an AMS Session
on Combinatorics on Algorithms generating restricted
permutations. Joint research of several faculty at Geor-
gia State University in Atlanta, including Professor
Jean Bevis, PhD 1965, on Course redesign was pre-
sented in a MAA Session on the Teaching and Learn-
ing of Undergraduate Mathematics. Professor Tanush
Shaska, PhD 2001, co-organized the AMS Special Ses-
sion on Algorithmic Algebraic and Analytic Geometry
mentioned above, and also spoke in an AMS Session
on Algebra on the topic Genus 2 curves that admit a
degree 5 map to an elliptic curve.

Professors David Drake, Chat Ho and Peter Sin par-
ticipated in a Special Session on Designs, Codes and

Geometries at the 2005 Spring Eastern Sectional Meet-
ing of the American Mathematical Society held at
Newark, Delaware, in April 2005. Drake spoke on De-
sarguesian nets without ovals, Ho spoke on Groups
generated by affine perspectives, and Sin spoke on
The p-rank of the symplectic generalized quadran-

Professors Steve Summers, Paul Ehrlich, and fre-
quent departmental visitor Seon Bu Kim from Chon-
nam National University, South Korea, authored sec-
tions for the Elsevier Publishers' Encyclopedia of
Mathematical Physics. Summers contributed sections
on Tomita-Takesaki modular theory and on Scat-
tering theory. Ehrlich and Kim wrote the section
on Lorentzian geometry. Summers, along with UF
Physics Professor Pierre Ramond, is on the editorial
board of this project. Professor Stephen Summers also
gave an invited address at the symposium Perspec-
tives in Quantum Field Theory held at the University
of Gottingen in June 2004, as well as colloquia at the
Universities of Braunschweig and Gbttingen.

On April 1, 2004, Professor Krishna Alladi delivered
one of four invited one-hour talks at a conference at
Penn State University in honor of Professor George
Andrews for his election to the National Academy of
Sciences. The title of Alladi's talk was Andrews, Ra-
manujan, and partitions. In June 2005 Alladi gave
an invited talk in Honolulu at the Hawaii Interna-
tional Conference on Mathematics, Statistics and Al-
lied Fields on the topic Sieve methods and proba-
bilistic number theory. He gave a colloquium on the
same topic later in August at the Abdus Salam In-
ternational Centre for Theoretical Physics in Trieste,
Italy. In November 2004, Alladi addressed the joint
Number Theory and Combinatorics Seminar at Ohio
State University on the topic New weighted Rogers-
Ramanujan partition theorems and their analytic rep-
resentations. Later in December 2004, he gave a col-
loquium on the same topic at the Arizona State Uni-
versity. In January 2005, Alladi was invited to be one
of four leaders for the Annual Mathematics Chairs
Workshop held in conjunction with the Annual Meet-
ing of the American Mathematical Society in Atlanta.
This was in recognition of Alladi's accomplishments
as Chair of the UF Mathematics Department. Alladi
spoke and led a discussion on the topic Strategic plan-



ning for improvement.
Professor James Brooks received an award from the
London Mathematical Society, which included sup-
port for a fall 2004 lecture tour explaining his research
on von Neumann algebras and stochastic processes.
Brooks spoke at the University of London, Christ
Church College, Warwick, and Reading University.
Professor Richard Crew was the recipient of a fellow-
ship from the Japan Society for the Promotion of Sci-
ence to visit Japan during May and June, 2004 and lec-
ture on his research. Crew spoke in Hiroshima, Kyoto,
Nagoya, Tokyo, and Chiba.
Professor Bruce Edwards gave a plenary presenta-
tion at the Houghton Mifflin Spring 2005 Mathematics
Conference held at the Hilton Tampa Airport Hotel on
February 10-11, 2005. The focus of the conference was
incorporating web-based and calculator technologies
in the classroom. Edwards also reported on this same
topic a few weeks later in San Antonio.
Professor Gerard Emch presented a lecture entitled
Quantum statistical mechanics at the Foundations of
Physics Handbook Workshop, held at the Center for
Philosophy of Science at the University of Pittsburg,
during October 29-30, 2004. Then Emch traveled on
to Princeton where he presented two Special Philoso-
phy of Physics talks at the Department of Philosophy,
Princeton University, under the titles Not what mod-
els are but what models do, and Spontaneous sym-
metry breakdown in statistical mechanics. Also, a vol-
ume, Twenty Years of Bialowieza: Aspects of differ-
ential geometric methods in physics, edited by Pro-
fessors S.T. Ali, Emch, A. Odzijewicz, M. Schlichen-
maier, and S.L. Woronowicz recently appeared in the
World Scientific Monograph Series in Mathematics,
Volume 8. Articles were contributed by past confer-
ence participants from Poland, Belarus, France, Bel-
gium, Germany, Portugal as well as the US, including
notably R.P Langlands of the Institute for Advanced
Study. On December 18-24, 2004, Professor Emch at-
tended an International Conference on Operator The-
ory, Quantum Probability, and Noncommutative Ge-
ometry, held at the Indian Statistical Institute, Kolkata,
India. This conference was in honor of the 60th birth-
day of the Director of this Institute, Professor Kalyan
Sinha. In 1969, Sinha had completed his PhD dis-
sertation under Emch's direction at the University of

Rochester. In November 2004, Sinha visited the Math-
ematics Department and the Institute of Fundamen-
tal Theory at the University of Florida, and presented
three lectures on related aspects of non-commutative
stochastic processes and differential geometry.
Reflecting recent developments since 2000, the April
1, 2005, issue of Science Magazine contained a short
column with the title "Cranky" proof reveals hidden
regularities. In this article, Professor George Andrews
of Penn State and Professor Frank Garvan were sin-
gled out for joint work carried out in 1988 in find-
ing patterns in successive partition numbers, gener-
alizing Freeman Dyson's rank of a partition to the
"crank" of a partition. The Dyson problem, which
Andrews and Garvan solved, relates to Ramanujan's
work on congruences and their solution grew out of re-
sults obtained by Garvan in his PhD thesis, for which
Andrews was supervisor. Three of the mathemati-
cians discussed in this article were participants in the
November 2004 UF Conference on Additive Number
After serving as Associate Provost in Tigert Hall for
several years, Professor Joseph Glover was chosen by
new University President Bernard Machen to be the In-
terim Provost during the spring semester, 2005. In the
spring 2005 CLAS commencement program, Glover
was listed first among ten UF Vice Presidents with ti-
tle Interim Provost and Senior Vice President for Aca-
demic Affairs.
Professor Jonathan King has been recently appointed
as one of the judges for the Merton M. Hasse Prize
of the American Mathematical Association. In 1997,
King was the recipient of this prize for his article Three
problems in search of a measure which appeared in
the American Mathematical Monthly in 1994.
Professor Bernard Mair's research on mathematical al-
gorithms behind positron emission tomography and
cardiology was profiled in the June/July 2005 issue of
CLAS Notes with the title Getting to the heart of med-
ical imaging. Mair and Professor David Gilland in the
Department of Nuclear and Radiological Engineering
have received an N.I.H grant of $600,000 to support
the development of these algorithms which will help
radiologists better detect abnormalities in motion pro-
duced by an ailing heart and understand the health of
the heart wall from PET imagining.



Professor Maia Martcheva, one of our newer faculty
members in mathematical biology, has been awarded
an NSF Interdisciplinary Grant to the Mathematical
Sciences for the 2005-2006 academic year. Marcheva
will spend this time period in the Department of Zo-
ology at UF, working with theoretical biologists Ben
Bolker and Robert Holt.
Professor Scott McCulllough has been elected Presi-
dent pro-tempore of the College Assembly beginning
fall 2005.
Professor Theral Moore was named as a CLAS
Teacher of the Year for 2004-2005.
Professor Sergei Pilyugin participated in a conference
held at the University of Florida Hilton and Confer-
ence Center during February 2-4, 2005 on the topic
of Systems Analysis, Data Mining and Optimization
in Medicine. Pilyugin lectured on Rescaling methods
for quantifying the turnover rate of lymphocytes us-
ing the CFSE assay.
Professor Yuli Rudyak was a plenary speaker at the
42nd Annual Cornell Topology Festival held during
May 7-10, 2004, lecturing on On category weight
and the Arnold conjecture on symplectic fixed points.
Rudyak's participation in this meeting led to Albert
Einstein Professor Dennis Sullivan of CUNY visiting
UF in December 2004 and delivering an inspiring col-
loquium on An algebraic model in Zweibach form of
Gromov-Witten theory using transversality and alge-
braic topology.
In addition to the CLAS and Mathematics Department
Reception in honor of Graduate Research Professor
John Thompson held at the Keene Faculty Center on
March 7, 2005, as reported in the article on the Spe-
cial Year in Combinatorics and Number Theory, Pro-
fessor Thompson was specially honored at the April
30th 2005 CLAS Graduate Commencement held at
the Center for Performing Arts. At this ceremony,
Dean Neil Sullivan presented Thompson with the first
CLAS Distinguished Scholar Award. This is a new
award created this year by Dean Sullivan to honor life-
time achievements of outstanding CLAS faculty mem-
Professor Pham Tiep participated in an international
conference on Gitter und Anwendungen held at the
Mathematisches Forschungsinstitut Oberwolfach dur-
ing January 2-7, 2005. Tiep spoke on Clifford groups,

Weil representations, and conjectures of Larsen and
Katz at this meeting.
Professor Alexander Turull traveled to Chicago in
early October, 2004, first attending a meeting of the
Publication Committee of the American Mathemati-
cal Society, then delivering a lecture on A strengthen-
ing of the McKay conjecture by including local fields
and the Schur index at the Group Theory Seminar of
the Department of Mathematics at the University of
Chicago. A few weeks later, Turull attended a memo-
rial ceremony at Yale University for the late Profes-
sor Walter Feit. Graduate Research Professor John
Thompson was also at the memorial ceremony.
Professor Jindrich Zapletal delivered a Plenary Lec-
ture at the ASL European Summer Meeting / Logic
Colloquium 2005 held in Athens, Greece, July 28-
August 3.
The Annual Appreciation Day, Thursday, April 21,
2005, fell on one of those beautiful April days in
Florida, under warm and sunny blue skies. Elsewhere,
we have reported on the program from 12:50-1:40
at which tributes were delivered to Professor Gerard
Emch and Senior Lecturer Marvel Townsend on their
retirements. At the 2:00pm continuation of this cer-
emony, after our enjoyment of a festive spread and
retirement cake, beautifully arranged in the Atrium
by our staff, Graduate Coordinator Paul Robinson
served as Master of Ceremonies, donning a tie for
the occasion and even quoting three lines from Shake-
speare as an encouragement to the graduate students
in the middle of the program. This year, the Kermit
Sigmon scholarship went to Erik Lundberg, one of the
three members of the Putnam Team. However, Under-
graduate Coordinator David Groisser in announcing
this award, mentioned that a second member of the
Putnam Team, Kevin Lawler, had been a close runner
up deserving honorable mention, and that the third
member of the Putnam team, Go Fujita, had just been
selected to participate in the Undergraduate Scholars
Program. In the past, the department has generally
received one or two CLAS Dissertation Fellowship
Awards, but Robinson noted that this past academic
year, that four of our PhD students had received such
fellowships, Diego Rojas-Rebolledo, Rebecca Smith,
Sheshadri Thiruvenkadam, and Yuan-Chyuan Sheu.
During the Summer 2004, Fall 2004 and Spring 2005



terms, 15 Masters Degrees were awarded and 9 PhD
degrees were awarded.
For a final time, Marvel Townsend, representing the
Selection Committee presented the Certificates for
Graduate Student Teaching. Here again, the depart-
ment fared very well this past year, submitting three
names to CLAS for the College level award and hav-
ing all three, Jung-ha An, Timothy Bonner and Nicole
Kochak receive Certificates of Excellence. Further,
Jung-ha An and Timothy Bonner additionally received
university-wide teaching awards, with Bonner being
named one of three Calvin A. Vanderwerf Award re-
cipients. The department awarded Hariprasad Babu,
Adnan Sabuwala and Michelle Taylor with Certifi-
cates of Merit for their teaching.
Then Chair Krishna Alladi took over the program
for the Faculty and Staff Recognition. First, Profes-
sor Theral Moore, a two time TIP teaching program
award winner, was recognized for having received
a CLAS Teaching Award. Our Computer Systems
Manager Brian Roberts was recognized for 10 years
service to the college and Administrative Assistant
Sharon Easter was recognized for 20 years service to
the department. Then Alladi presented Professor Ger-
ard Emch and Senior Lecturer Marvel Townsend with
plaques for their retirement. Further, Professor Murali
Rao read an e-mail from Interim Provost and Senior
Vice President for Academic Affairs, Professor Joseph
Glover, thanking Emch and Townsend for their two
decades of service to the department and university.
As a further surprise, Rao then presented each of them
with a University of Florida Medallion as a further tes-
tament to their years of service, this presentation being
greeted by a sustained round of applause.
As a new element in the program this year, Ron
Quinn of University Copy and More presented the
department with an oversized check for $1,000. We
learned that when students buy course materials from
these copy centers, they have the opportunity to sub-
mit a slip with the instructor's name and course name
for a drawing. To our good fortune, we were told that
a student in one of Lecturer Sherry Tornwall's classes
had submitted the slip which resulted in the winning
drawing for the department.

Alumni News

by Paul Ehrlich

'-" ROFESSOR William Hare, PhD 1961, writes
from Clemson University that "I retired Au-
gust 2003 from Clemson's Department of
S'Mathematical Sciences. Currently I teach
one course per semester, primarily for inservice sec-
ondary math teachers. Besides John Kenelly, who is
a Distinguished Alumni Professor Emeritus, we also
have Dr James Renke, who received his BS and MS
at Florida in the late 1950s." In his role as Treasurer
of the MAA, Kenelly appeared in a photograph in
the February 2005 issue of the MAA Focus while at
a committee meeting of the MAA finance team dur-
ing the Atlanta Joint Mathematics Meeting. Since
2002 the Clemson Mathematics Department website
has included a historical link which reveals among
other things how our PhD graduates Hare and Kenelly
lured Professor Andrew Sobczyk, who had been at UF
while they were graduate students here, to Clemson
in 1965 with the creation of the Samuel Manor Martin
Professor of Mathematics for Sobczyk, as part of their
building up the graduate program in mathematics at
Clemson. This material may be accessed at http://
Also, Professor Kenelly served as one of the plenary
speakers at the Joint Annual Meeting of the MAA
Florida Section and FTYCMA at Manatee Community
College near Sarasota. Kenelly spoke on February 25,
2005 on the topic MAA highlights and what's happen-
ing in testing.
Dr Jungha An, PhD 2005, has received a two year post-
doctoral fellowship at the Institute for Mathematics
and its Applications at the University of Minnesota.
Her position is supported by the Siemens Corpora-
Dr Rebecca Smith, PhD 2005, has received an appoint-
ment as a tenure track assistant professor at SUNY at
Dr Sheshadri Thiruvenkadam, PhD 2005, has re-
ceived a two year postdoctoral position at UCLA, to
work with Professor Tony Chan, last years' inaugural
CAM Lecturer in the Department of Mathematics at


A Note of Thanks

by Krishna Alladi

It is again a pleasure to warmly thank all of those who
contributed to the support of our educational activi-
ties during the past year. For the Fiscal Year 2004-2005
we received a total of $6,964 in gifts to the various de-
partment foundation accounts. Non-anonymous do-
nations included contributions from Myron A. Bon-
delid, Clayton W. Commander, David A. Drake,
Bruce H. Edwards, Karen Fagin, James E. Felt, Gary
P. Gordon, William R. Hare, Patches L. Johnson,

Philip B. Kane, Kevin P. Keating, John M. Kellett,
John W. Kenelly, Shihai E. Li, Brandon C. Lord,
Warren W. McGovern, Patrick J. Osborne, Robert
S. Price, William D. Shiminske, Robert W. Shuford,
Irvin L. Smith, Leah A. Susi, Lucinda F. Thomas,
Dongxing Wang.

F I Editor: Paul Ehrlich
Co-Editors: Larry Wilson and Alex Scorpan
Design and Production: Alex Scorpan


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