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Title: Little by little
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Publisher: Department of Mathematics, University of Florida
Place of Publication: Gainesville, Fla.
Publication Date: Spring 2004
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,. UNIVERSITY OF
FLORIDA itte by Little

y SPRING 2004
DEPARTMENT OF MATHEMATICS NEWSLETTER. VOLUME 18, NUMBER 1.


Report from the Chair
by Krishnaswami Alladi


?, '- HE academic year 2003-2004 was yet an-
S' *.. .* other eventful year highlighted by the Spe-
.. \ !cial Year in Applied Mathematics which
strengthened ties with several depart-
ments on campus because of successful collaborative
programs. More specifically, the main events of the
Special Year 2003-2004 were four conferences and
workshops which were organized by our department
in collaboration with the Departments of Industrial En-
gineering, Computer and Information Sciences, and
Aerospace and Mechanical Engineering.

The main organizers of the Special Year in Applied
Mathematics were Professors William Hager, Yunmei
Chen, Shari Moskow, and Jay Gopalakrishnan, as
well as the graduate students of the SIAM Gators
Chapter. The special year's activities opened with an
International Conference on Mathematical Methods in
Imaging and Vision, January 24-27, 2004, which was
organized by Professor Chen with the assistance of
Professors Tim Olson and David Wilson of our de-
partment and Drs Randy Deunsing of ...
Continued on page 2.


CI iitbciiwctic8
tCe3ib c\ 11) r -'
itti~rC~~lt i

'sexl~l~a l~P


Special Year in Applied Mathematics
by Shari Moskow


"-' "-' HE Special Year in Applied Mathematics se-
* .* ries of workshops were a big success. They
- 1 included three faculty-run conferences and
one student workshop. All were interdisci-
plinary in nature and organized along with members
of non-mathematics departments. The student confer-
ence was unique in that it was run entirely by students
in the SIAM student group with faculty acting only
as advisors. The National Science Foundation (NSF)
supported this effort generously, along with all of the
other workshops.

In general, the special year was funded by NSF, the
UF Division of Sponsored Research, CLAS, the UF Col-
lege of Engineering, and of course the Department
of Mathematics, with much thanks to the efforts of
our Chair, Krishna Alladi. The optimization confer-
ence was additionally funded by the UF Department
of Computer and Information Science Engineering
(CISE), the UF Department of Industrial and Systems
Engineering (ISE), and e-techservices.com. The
computational methods conference also ...
Continued on page 3.


In this issue:
The Year in Pictures ............. ............ ...... 5
Newsflash ............. .........................9
Change is coming to Calculus........... ...........9
CAM inaugurates new lecture series .................... 9
Visit by Professor Jean Bellissard ........... ........ 10
SIAM Gators take initiatives .......... ........... 10
Math Chair meets the President of India ................... 11
The wild world of 4-manifolds .... . ..... ....... ........... 12
People ................................ ...............14
Faculty, Alumni, and Staff Notes ...................... 14
The Annual Students, Staff, and Faculty Appreciation Day... 15
More Alumni News ........... . .......... ...... 20
A Note of Thanks ......... ................ ....... 22






LITTLE BY LITTLE. SPRING 2004.


Report from the Chair
by Krishnaswami Alladi

Continued from page 1.

... MRI Devices and Nikos Paragios of Siemens Corp.
The conference attracted leading researchers world-
wide from both academia and industry, and provided
an excellent forum for exchange of ideas between pro-
fessors at universities and researchers in industry.
One of the main lectures at this conference was the
Sixth Ulam Colloquium by Professor Stan Osher of
UCLA on Mathematics in the real world and the fake
world, in which he described applications of imaging
to real problems like MRI as well as to optical effects
created by Hollywood in movies.
In February-March 2004 three conferences of the Spe-
cial Year in Applied Mathematics took place within
a ten day period. The first of these, on Multi-
scale Optimization Methods and Applications, dur-
ing February 26-28, 2004, was organized by Profes-
sor William Hager of our department along with Pro-
fessors Tim Davis of the CISE and Panos Pardalos of
the ISE departments. This was followed immediately
by a conference on Computational Methods in Multi-
scale Analysis and Applications, February 29-March
2, 2004, organized by Professors William Hager, Shari
Moskow, and Jay Gopalakrishnan of our department
along with Professors Andrew Kurdila, Wei Shyy, and
Loc Vu- Quoc of Mechanical and Aerospace Engineer-
ing.
One of the highlights of the conferences was the sixth
Erdos Colloquium by 1966 Fields Medallist Stephen
Smale of the University of California, Berkeley, and
the Toyota Technical Institute, Chicago. Professor
Smale spoke on Shannon sampling and reconstruc-
tion of functions from point values. Dean Neil Sulli-
van of the College of Liberal Arts and Sciences made
the Opening Remarks for this lecture. The confer-
ences also had a featured lecture by Dean Tony Chan
of UCLA on Multilevel optimization for circuit place-
ment for which Dean Pramod Khargonekar of the Col-
lege of Engineering made the Opening Remarks. In
addition, for the purpose of reaching a wide audi-
ence, several History Lectures were arranged during
the conference by Professors Francesco Brezzi, Terry
Rockafellar, and Michael Vogelius.
One of the unique features of the Special Year in


Applied Mathematics was a Student Workshop orga-
nized entirely by the graduate students of our SIAM
Gators Chapter-Jung Ha An, Beyza Asian, Weihong
Guo, Feng Huang, Sukanya Krishnaswamy, Arun
Krishnaswamy, Adnan Sabuwala, and Hongchao
Zhang. The Special Year, which received generous
funding from the National Science Foundation, had a
specific allocation for this Student Workshop, which
attracted participants from as far away as India and
China. Dean Ken Gerhardt of the Graduate School in-
augurated this conference.
This year the department launched two distinguished
colloquia-the Math-Stat Colloquium and the CAM
Colloquium. The first Math-Stat Colloqium was de-
livered on September 21, 2003, by the world famous
statistician C.R. Rao, Eberly Professor Emeritus of the
Pennsylvania State University on the topic Anti-eigen
values and anti-singular values of a matrix and ap-
plications to statistics. Dean Neil Sullivan of the Col-
lege of Liberal Arts and Sciences made the Opening
Remarks for this lecture. On January 24, 2004, the
Center for Applied Mathematics, under the leadership
of its two new Co-Directors Professors Yunmei Chen
and Scott McCullough, launched the first Center for
Applied Mathematics (CAM) Colloquium with a talk
by Dean Tony Chan of UCLA on the topic Variational
PDE models and algorithms for image processing.
The month of January also saw the visit of 1983 Fields
Medallist S.T. Yau of Harvard University. Yau who re-
ceived the Fields Medal for path breaking work in dif-
ferential geometry has recently also applied his exper-
tise to the area of computer imaging where he is apply-
ing techniques from differential geometry. Yau, who
was visiting UF to give the Barr Systems Lecture in
CISE, also agreed to give a Special Mathematics Col-
loquium on January 16, 2004, on the topic Local mass
in general relativity at the request of our Colloquium
Chair, Professor David Groisser.
In September 2003, our colleague Professor Gerard
Emch arranged the visit of Professor Jean Bellissard to
our department with the cooperation of the Institute
of Fundamental Theory (IFT) and the Florida France
Research Institute (FFRI). Professor Bellissard gave a
series of lectures in the mathematics and physics de-
partments.
The workshops of the Special Year in Applied Mathe-
matics were not the only conferences organized in our
department. There were indeed two other very suc-
cessful conferences.






VOL 18. NO 1. UNIV OF FLORIDA MATHEMATICS NEWSLETTER.


In early March 2004, Professor Jorge Martinez orga-
nized the fourth International Conference on Ordered
Algebraic Structures. Professor Martinez, a world au-
thority in this area, has over the years arranged several
conferences on this topic. In the past few years he has
been instrumental in getting this regular series of con-
ferences launched, and this is the second time in four
years that the conference was held in Gainesville. The
conference was funded by the National Science Foun-
dation.
Also in March 2004, the tenth Southeastern Logic Sym-
posium was organized by our colleague Professor Jin-
drich Zapletal. This well established conference series
has now found a base in Gainesville thanks to the laud-
able efforts of Professor Zapletal and his contract with
the National Science Foundation.
We are able to successfully conduct such interna-
tional conferences and attract a steady stream of dis-
tinguished visitors from around the world because we
are an active research department and many of our col-
leagues are well known as experts in their areas of re-
search. This year we are very pleased that Professor
Alexander Dranishnikov has been appointed to the
Editorial Board of the Proceedings of the American
Mathematical Society, one of the most widely circu-
lated mathematics journals. This appointment comes
on top of previous such appointments to the editorial
boards of Topology and its Applications and Funda-
menta Mathematica. Such editorial appointments are
fine recognition of his expertise and scholarship by
the international mathematical community.
I have always emphasized that our department main-
tains a healthy balance between research and teach-
ing. For the past several years, the outstanding teach-
ing done by our department has been recognized each
year with at least one CLAS Teaching Award, and this
trend continues. This year, Professor Miklos Bona, a
brilliant young researcher in combinatorics, was recog-
nized for superior accomplishments in teaching with
a CLAS Teaching award.
One of our colleagues, Professor David Metzler, who
received the CLAS Teaching Award last year, has de-
cided to join the faculty of the Albuquerque Academy,
a high school for very talented students. We wish him
the best as he embarks on this opportunity to bring his
inspiring level of teaching to this new arena.
Professor Steve Saxon, a senior member of our anal-
ysis group is retiring at the end of Spring 2004 under
the DROP Program. We thank him for his many years


of dedicated service and look forward to continued as-
sociation in his capacity as Professor Emeritus.
The department was extremely successful in its hiring
efforts in 2003-2004. This year the department made
two appointments in the John G. Thompson Research
Assistant Professorship position. We welcome Hamza
Yesilyurt who will receive his PhD in number theory
from the University of Illinois in Summer 2004, and
Lei Zhang, a PDE expert from Texas A&M Univer-
sity, as the new Thompson Assistant Professors to start
in Fall 2004. In addition we are pleased to welcome
Dr Patrick DeLeenheer from Rutgers who will join
as a tenure-track assistant professor in biomath, and
Dr Sergei Shabanov who has been a visitor in our de-
partment for the past four years as a tenure-track as-
sistant professor in applied mathematics. Finally, Pro-
fessor Bernard Mair who left our department to be-
come Head of the Mathematics Department at North
Carolina State University, decided to relinquish that
position and return to our department. We are pleased
with his decision and welcome him back to our midst.
Next year promises to be as exciting as the past few
years and will be highlighted by the Special Year in
Number Theory and Combinatorics. With the sup-
port of both the department and the Dean, it is my
pleasure to serve another term as Chair of this depart-
ment and continue my efforts to take us to a higher
level of accomplishment and recognition. 5


Special Year in Applied Mathematics
by Shari Moskow

Continued from page 1.

... benefitted from additional support from the UF De-
partment of Mechanical and Aerospace Engineering.
The first of the workshop series, Mathematical Meth-
ods in Imaging and Vision, January 24-27, was run by
our own Yunmei Chen, Tim Olson and David Wilson,
in addition to two organizers from industry: Randy
Duensing from MRI devices and Nikos Paragios from
Siemens Research Corp. The conference featured 32
speakers from Mathematics, Statistics, Computer Sci-
ence and Biomedical Engineering departments from
around the country. Several international visitors pre-
sented their work, including the guests from Hong
Kong and Germany. Approximately thirty-five grad-
uate students and postdocs also attended the work-
shop, which thus made for a fairly large-size group.






LITTLE BY LITTLE. SPRING 2004.


Aside from the talks, the events also included a recep-
tion in Little Hall, a dinner at the Arrendondo Room,
as well as a computer lab / open house / poster ses-
sion. UF Dean Neil Sullivan of CLAS and UCLA Dean
Tony Chan (Dean of Physical Sciences and Professor
of Mathematics) both made some remarks at the din-
ner, and the lab open house gave graduate students a
chance to present their research along with computer
demos of their numerical results.
Several of our graduate students worked hard to make
the imaging conference such a success. These include
Jung-ha An, Weihong Guo, Feng Huang, Xiaolu Yan,
Qinggou Zeng and others.
The week of February 26-March 4 was another very
exciting one for our special year. The two confer-
ences Multiscale Optimization Methods and Applica-
tions and Computational Methods in Multiscale Anal-
ysis and Applications, and the Student Workshop ran
consecutively.
The conference Multiscale Optimization Methods and
Applications, February 26-28, was organized by
William Hager, along with Timothy Davis of UF CISE
and Panos Pardalos of UF ISE. The research presented
was focused on continuous and discrete multilevel op-
timization and sparse matrix techniques, along with
their applications to chip design, parallel computing
and dynamic simulations. About forty prominent ap-
plied mathematicians and computer scientists spoke,
and many students both from outside and within UF
presented their work in a poster session. Tony Chan
was also a featured speaker at this time, here on his
second trip to Gainesville this spring! In his talk, he
explained how the operators that arise in the multi-
grid method for solving partial differential equations
have analogues in a difficult optimization problem
that arises in VLSI design: place circuits on a computer
chip in order to optimize design criteria such as the
length of wire required to connect the circuits. The
participants came from all over this country and from
abroad, including from China, Hong Kong, Belgium,
Canada, Italy, and the UK.
The research at the optimization workshop tied in
nicely with the next event the day after, namely
the conference Computational Methods in Multiscale
Analysis and Applications, February 29-March 2. Jay
Gopalakrishnan, Bill Hager and myself organized
this workshop with the help of Andrew Kurdila,


Chair Wei Shyy, and Loc Vu-Quoc of the Mechanical
and Aerospace Engineering Department. We brought
together applied mathematicians and engineers to
present and discuss the latest developments in compu-
tational techniques for problems involving multiple
scales and multigrid methods. Some of the applica-
tions discussed included electromagnetics, acoustics
and material elasticity. The thirty-five invited speak-
ers included guests from the Netherlands, France,
Italy, and Germany.
Connected to this conference were two very enjoy-
able and well-presented mathematics history lectures.
Franco Brezzi, from the Universita di Pavia, Italy,
spoke on The inf-sup condition, the bubble and the
subgrid, which told the very interesting history of
the finite element method, the functional analysis in-
volved and the interplay between mathematicians and
engineers. Michael Vogelius, from Rutgers Univer-
sity, spoke on Low volume fraction mixtures and po-
larization effects, surveying recent history of homog-
enization theory, small spatial scale perturbations, re-
lated inverse problems and their relationship to each
other.
Fields Medalist Stephen Smale's Erdos lecture, held
before an overflow audience, also provided a unify-
ing thread in the special year program. Smale stud-
ied the familiar equation Ax b, where the system
is overdetermined. He supposed that the right side
was polluted by noise v, which was non-Gaussian
and bounded. With minimal assumptions, an estimate
was given for the error in the usual least squares esti-
mate of x.
Both the optimization and computational workshops
featured a reception at the Sovereign Restaurant. The
coffee breaks were all arranged and set up beautifully
by our graduate students. A special thanks goes to
Beyza Asian and Adnan Sabuwala who were in the
atrium working daily before we even got there! They
also had some help from Jung-Ha An, Sukanya Krish-
naswamy, Shu- Jen Huang and Hongchao Zhang. We
are also very grateful for the efforts that staff members
Sandra Gagnon and Sharon Easter made. Despite the
fact that they were short-staffed, the conferences ran
smoothly and with no problems. 4







VOL 18. NO 1. UNIV OF FLORIDA MATHEMATICS NEWSLETTER. 5


The Year in Pictures


Eberly Professor C.R. Rao of Penn State Uni-
versity led off the year, delivering the First
Math-Stat Colloquim in September 2003 on
Anti-eigenvalues and anti-singular values of
a matrix with applications to statistics.


Professor Rick Smith continued
the tradition of presenting Chair
Krishna Alladi with a humorous
gift at the Christmas party.


Everybody eagerly anticipated the fine buffet always expertly arranged by
the staff for the annual Christmas party.


Professor S.-T. Yau of Harvard, Fields
Medalist, gave a Special Colloquim
on Local mass in General Relativity
on January 16, 2004. Here he is with
host David Groisser and Mathematics
Chair Krishna Alladi.







6 LITTLE BY LITTLE. SPRING 2004.


The Year in Pictures


Professor S.-T. Yau is pictured here with Professor Yunmei Chen and her students and colleagues from Computer Science
during this visit to the department.


->
On January 24, 2004, the audience
waits for the inauguration of the Inter-
national Conference on Imaging and
Vision. At the far right is head or-
ganizer Professor Yunmei Chen and
next to her, Dean Neil Sullivan of the
College of Arts and Sciences.


As part of this confer-
ence, Professor Stan
Osher (UCLA) delivered
the Sixth Ulam Collo-
quim on Jan. 26, 2004
on Mathematics in the
real world and the fake
world.


Vice President for Re-
search Dr Win Phillips
made the opening re-
marks for this Sixth Ulam
Colloquim.







VOL 18. NO 1. UNIV OF FLORIDA MATHEMATICS NEWSLETTER. 7


The Year in Pictures


%j


Ulam Colloquim speaker Stan Osher
with (from left) Professors William
Hager (Special Year Organizer), P. ul
Ehrlich (Editor of Little-by L:rrlth
Yunmei Chen (Conference Orgar.n i/.
and host), Mathematics Chair K, -!-
naswami Alladi and conference I-. -
ticipant Joachim Weichert from "-.., -
land, Germany.


Earlier in this confer-
ence, Dean Tony Chan
also of UCLA gave
the First Center for
Applied Mathematics
Colloquim on January
23, 2004 on Variational
PDE Models and Al-
gorithms for Image
Processing.


Professor Stephen Smale, Fields Medalist and Professor at
U.C. Berkeley and the Toyota Technical Institute in Chicago, deliv-
ered the Sixth Erdos Colloquim on March 1, 2004 on Shannon sam-
pling and reconstruction of functions from point values.


Dean Pramod Khar-
gonekar, College of
Engineering (and PhD
alumnus) made the
opening remarks for
the Featured Lecture
of Dean Tony Chan
on Multilevel Opti-
mization for Circuit
Placement as Chan
returned to speak at
a second conference
here on February 27,
2004.


Dean Neil Sullivan made the opening re-
marks for this Sixth Erdos Colloquim.







8 LITTLE BY LITTLE. SPRING 2004.


The Year in Pictures


Professor Franco Brezzi of the University of The audience listened intently to Professor Brezzi's lecture involving the history of the finite
Pavia, Italy, delivered a History Lecture on element method. In the front row toward the right are conference organizers Professors
March 1, 2004 on The inf-sup condition, the Shari Moskow and Jay Gopalakrishnan.
bubble, and the subgrid.


Professor Michael
Vogelius of Rutgers
University gave a sec-
ond History Lecture
on March 2, 2004 on
Low Volume Frac-
tion Mixtures and
Polarization Efforts.


On March 3, 2004,
Dean Ken Gerhardt
of the Graduate
School inaugurated
the Student Workshop,
organized entirely by
the graduate students
in applied mathe-
matics as part of the
Special Year.


Dean Gerhardt is shown here with the chief organizers of the Student Workshop: Adnan Sabuwala, Jongchao Zhang,
Jung-ha An, and Beyza Aslan.






VOL 18. NO 1. UNIV OF FLORIDA MATHEMATICS NEWSLETTER. 9


Newsflash


Change is coming to Calculus
by Larry Wilson


This past academic year, Thompson Assistant Pro-
fessor Larry Wilson served on the Undergraduate
Committee and hence had a first hand part in delib-
erations concerning the teaching of the core calcu-
lus courses. Thus, we asked him to report on these
recent developmentsfor the newsletter.
the Editor

S "-' EGINNING in Fall 2004, students in Analytic
. 'J Geometry and Calculus 2 and 3 (the sec-
S- ond term of single variable calculus and the
multi-variable calculus course) will meet
with their professor not four, but three hours a week.
The fourth hour, currently also spent with the profes-
sor of the course, will now be spent in a problem ses-
sion led by a different professor.
Professors Bruce Edwards and Scott McCullough
will share the assignment of leading these problem
sessions. A committee consisting of McCullough, Pro-
fessor Emeritus Arthur Crummer, and Professor Neil
White is currently developing a more detailed syl-
labus for each course and a set of problems to be
covered in each problem session. One consequence
of this is that each section of the course will have
to cover common material and at approximately the
same pace. In the past, sections of this course might
cover different material and at different levels of dif-
ficulty. Students have often commented on the vari-
ations within the course and this new format should
ameliorate this. The students further benefit by seeing
problems worked from a different perspective.
Currently students in Analytic Geometry and Calcu-
lus 1 and in Survey of Calculus 1 meet with their pro-
fessor three times a week and then with a teaching as-
sistant for a fourth hour. The department may extend
the use of common problem sessions to these courses
in future years.


CAM inaugurates new lecture series
by Paul Ehrlich


'. *.i NSPIRED by the now well established yearly
.. ,'.'" Erd6s and Ulam Lectures, the Center for
( Applied Mathematics (CAM) under the
directorships of Professors Yunmei Chen
and Scott McCullough inaugurated an annual CAM
Colloquium series this past year.

As the opening lecture in the January 2004 Imaging
Conference, Dean of Physical Sciences Tony F Chan
of UCLA Mathematics delivered the first CAM Lec-
ture on Variational PDE models and algorithms for
image processing. This topic was especially relevant to
our program since Professors Yunmei Chen, Bernard
Mair, Murali Rao, and David Wilson, as well as PhD
alumni Stacey Levine and Thomas Wunderli have
used a PDE technique in which Chan was a leading
developer, called adaptive total variation, to study
restoration problems in image analysis.

Chan was an especially interesting choice for this first
CAM lecture also as after obtaining his early educa-
tion in Hong Kong he came to the US where he took
degrees in engineering at Caltech before obtaining
the PhD in computer science at Stanford. After fac-
ulty positions at Yale in computer science, he came
to UCLA in the Computational and Applied Mathe-
matics Group in the Department of Mathematics. He
has also served as director of a new Institute for Pure
and Applied Mathematics at UCLA, Chair of the Math-
ematics Department and Dean of the Division of Phys-
ical Sciences.

While at UF, he shared his insights not only with the
Department of Mathematics but also with our own
CLAS Dean Neil Sullivan. In the Los Angeles area,
Chan also serves to publicize the importance and ubiq-
uity of mathematics, being quoted in articles in the LA
Times and the Los Angeles version of a Chinese lan-
guage newspaper, the Sing Tao Daily. He likes to em-
phasize that the term "computer software" hides the
many uses that mathematical techniques working in
computer algorithms find in our daily lives.






10 LITTLE BY LITTLE. SPRING 2004.

Newsflash


Visit by Professor Jean Bellissard
by Paul Ehrlich

.-.- NDER the auspices of the France-Florida
.' Research Institute, the Institute for Fun-
., damental Theory, and the Department
.. of Mathematics, Professor Jean Bellissard,
Professor of Mathematics and Physics, Georgia In-
stitute of Technology, and Senior Member of the In-
stitut Universitaire de France, visited the University
of Florida in October 2003 and gave a three-lecture
presentation of issues that bridge current research in
mathematics and physics.
On October 1st, hosted by the Physics Department, he
gave a technical IFT Colloquium on Coherent and dis-
sipative electronic transport in periodic media show-
ing a range of distinctive phenomena not suspected
from the usual theories of condensed matter and rich
in promising technological applications.
On October 2nd, to the general audience gathered by
the FFRI in the humanities and the natural sciences, he
surveyed the popular topic of Entropy and Informa-
tion. Starting from "a physicist's point of view", he ex-
panded his scope to exhibit several cogent avatars of
the second law of thermodynamics in astronomy, bio-
logical systems, communication theory and the study
of social groups. He also touched upon the visionary
prospect of quantum computers.
On October 3rd, in a special Mathematics Colloquium,
Professor Bellissard spoke on Tillings, Aperiodic me-
dia and their Non- commutative Geometry. Even
within mathematics itself, the subject brings in quite
interdisciplinary flavors, from esoteric aspects of 2-
dimensional geometry and apparently tamed partial
differential equations to the functional analysis of op-
erator algebras and algebraic K-theory. The synthesis
was brilliant and very suggestive of developments to
come.
The visit was initiated and synchronized by mathemat-
ical physics Professor Gerard Emch of the Mathemat-
ics Department.


SIAM Gators take initiatives
by Beyza Asian and Adnan Sabuwala


For the fourth conference during March of the Spe-
cial Year in Applied Mathematics, our graduate stu-
dents themselves organized a workshop. Hence, we
asked them to write about this aspect of the Special
Year for the Little Review as well as the doings of
the SIAM Gators.
the Editor

'. ,-: NDER the guidance of Professor Shari Mos-
J .' kow, the University of Florida Chapter
*^'i '.. of the Society for Industrial and Applied
.- Mathematics (SIAM) was established here
at the Department of Mathematics during Fall 2002.
We started with about twelve members who were all
graduate students of our department. Approved by
SIAM during October 2002, the SIAM Gators Group is
now one of the twenty-five student chapters of SIAM
in the United States, which counts almost twenty
members. Our chapter is funded by SIAM and the
UF Department of Mathematics. Our group's major
activity is to organize weekly talks given by graduate
students from our department. The talks given during
the SIAM Gators Seminar are mostly related to areas
in applied mathematics. We also invite a faculty mem-
ber once every month to give us a talk about his/her
research and about possible open questions for new
graduate students, to help them choose their research
areas and their advisors. We try to provide a very
friendly, open-to-discussion environment as to encour-
age student participation.
As a part of the 2003-2004 UF Mathematics Spe-
cial Year in Applied Mathematics, Professor William
Hager proposed that we organize a student workshop.
He incorporated the workshop in the National Sci-
ence Foundation (NSF) Special Year proposal. Thus
the workshop was funded by NSF at a level that was
sufficient to fully support our conference. Using the
web site created by Arun Krishnaswamy, students
from all over the US and the world applied to the
SIAM Gators Conference. We invited seventeen grad-
uate students to give us a talk or present a poster,






VOL 18. NO 1. UNIV OF FLORIDA MATHEMATICS NEWSLETTER. 11

Newsflash


giving priority to the members of other SIAM chap-
ters. Together with speakers from our school, we had
twenty-one talks and four poster presentations. The
topics covered were mainly related to three research
conferences in the Special Year program: Image Pro-
cessing, Optimization, and Multiscale Analysis. Also,
during the conference, there were two special lectures
given by Dr Tyrrell Rockafellar, University of Wash-
ington, and Dr Biswa Nath Datta, University of North-
ern Illinois. As part of the conference, we awarded a
prize for the best presentation: Dionisio Fleitas, who
is a PhD student at the University of Texas at Arling-
ton, and Firmin Ndeges, who is an undergraduate stu-
dent under the supervision of Dr Terry Herdman at
the Virginia Polytechnic Institute, were tied and both
won the award. The proceedings of this conference,
Advances in Applied Mathematics, will be published.
The editors are Jung-ha An, Yermal Bhat, Shu-Jen
Huang, and Hongchao Zhang from our department,
and Oleg Prokopyev from the Industrial and Systems
Engineering Department. It was a great pleasure to
organize such a conference.
As a tradition, every year SIAM supports graduate stu-
dent participation in the SIAM Annual Meeting. This
year, our chapter was one of six student chapters in-
vited to send a representative to present a research pa-
per on Student Day during the SIAM Annual Meeting
in Portland, Oregon. After an application process, it
has been decided that Hongchao Zhang, who is work-
ing on his PhD under the direction of Dr Hager, will
represent our chapter. After the SIAM Gators Student
Conference, SIAM's executive director James Crow-
ley also authorized support for our President, Beyza
Asian, to represent us at the Annual Meeting in Port-
land, Oregon. Recently we learned that Jung-ha An
and Qingguo Zeng, both working towards their PhD
under the direction of Professor Yunmei Chen, won
a travel award from SIAM to participate in the SIAM
Conference on Imaging Science.
The SIAM Gators also organizes a potluck at the be-
ginning of each semester to bring together the faculty
members, graduate students and their families. We
enjoy nice food, and we play all kinds of games. Next
time, we hope to see all of you there.
Though SIAM Gators only involves mathematics grad-
uate students at the moment, our plan is to open


our group to the graduate students of other depart-
ments, such as Computer Science, Industrial Engineer-
ing, Electrical Engineering, Statistics etc. The other
plan is to involve undergraduate students in the group
to give them a chance to explore possible research op-
portunities. 5o



Math Chair meets the President of India
by Paul Ehrlich


c- ATHEMATICS Chairman Krishnaswami Al-
", ladi recently had the opportunity to meet
Sn-. the President of India Dr Abdul Kalam.
During December 20-22, 2003, Alladi par-
ticipated and gave a plenary talk at an International
Conference on Number Theory and Secure Commu-
nications organized by SASTRA University in Kum-
bakonam, India.


'I


Mathematics Chair Krishnaswami Alladi being introduced to the
President of India Dr Abdul Kalam. Evan Pugh Professor George
Andrews of Penn State University is looking on.
Kumbakonam is the town in the state of Tamil Nadu
in South India where the mathematical genius Srini-
vasa Ramanujan grew up. SASTRA which is a recently
founded private university, purchased Ramanujan's
home in 2003 and will maintain it as a musuem for
posterity. To mark the occasion, SASTRA organized
this international conference to coincide with Ramanu-
jan's birthday which falls on December 22. The event
was considered so important that the President of In-
dia, Dr Abdul Kalam inaugurated the conference on






12 LITTLE BY LITTLE. SPRING 2004.

Newsflash


December 20 and declared open Ramanujan's home
as a museum and national treasure.
Srinivasa Ramanujan, a self taught mathematical ge-
nius, startled mathematicians at Cambridge Univer-
sity in the early part of the twentieth century when
he communicated his remarkable findings in letters to
the eminent Professor G.H. Hardy. Over the years we
have realized the depth of Ramanujan's discoveries
and the impact his work had made in such diverse ar-
eas like number theory, combinatorics, analysis, mod-
ular forms, Lie algebras, physics, and computer sci-
ence. There are books available on the remarkable life
story on this Indian genius, and on the phenomenal re-
sults contained in the notebooks he maintained. And
there is even the Ramanujan Journal, an international
journal devoted to all areas of mathematics influenced
by Ramanujan, for which Alladi is the Editor-in-Chief.
This conference held in connection with the conver-
sion of Ramanujan's home into a musuem, is the most
recent significant event connected with Ramanujan.
Following the inauguration by the President of India,


the first conference lecture was given by Evan Pugh
Professor George Andrews of The Pennsylvania State
University, the world's pre- eminent authority on Ra-
manujan's work. Immediately after Andrews, Alladi
gave his talk entitled A new companion to Ramanu-
jan's continued fraction. Other plenary speakers at
the conference were Professors Noam Elkies of Har-
vard University, Samuel Wagstaff of Purdue Univer-
sity, and Antol Balog of the Hungarian Academy of
Sciences. Professor Alladi's visit to the conference as
well as that of other plenary speakers from the United
States was supported by the Indo-US Forum through
a grant administered by the National Academy of Sci-
ences.
In connection with this event, Alladi wrote an arti-
cle entitled Ramanujan's growing influence, which ap-
peared in The Hindu, India's national newspaper, on
December 22, 2003, Ramanujan's 116thbirth anniver-
sary.


The wild world of 4-manifolds
by Alex Scorpan


As an outgrowth of a recently written book on mod-
ern 4-manifold topology which will be published
by the American Mathematical Society, the second
Thompson Assistant Professor, Alexandru Scorpan
from F., I,. 1. i, delivered a series of seven lectures in
the Geometry and Mathematical Physics Seminar.
We are delighted that he agreed to provide a brief
summary of this material for the newsletter.
the Editor

J IRST, let us explain what we will be talking
A about: A topological n-manifold is roughly a
A-J .7 topological space that is locally homeomorphic
Ctw~Sj to Rn. In other words, a space modeled on
pieces of Rn, glued by continuous functions. A differentiable
structure on an n-manifold M means that the manifold is
modeled by pieces of Rn, glued by C"-differentiable func-
tions. It essentially enables one to do Calculus on the mani-
fold.
Wild at heart: Dimension 4 is truly unlike any other dimen-


sion. Consider the following results:
Let M be a compact topological n -manifold. Then:
If n < 3, then there is exactly one differentiable
structure on M.
If n > 5, then there are at most finitely many dif-
ferentiable structures on M.
If n 4, there are many simply-connected closed
4 -manifolds that admit infinitely many distinct dif-
ferentiable structures; there are no differentiable 4-
manifolds known to have only finitely many differ-
entiable structures.
In other words, there are families of infinitely many distinct
differentiable 4-manifolds that look the same as topolog-
ical spaces. One is thus easily tempted to conjecture that
most 4-manifolds, if not all of them, admit infinitely many
differentiable structures.
For non-compact manifolds, things get even worse:
For n / 4, the topological manifold Rn admits a
unique differentiable structure. But the topologi-
cal 4 -manifold ]R4 admits uncountably many distinct
differentiable structures.
A good way to get one's mind around these phenomena is
that dimension 4 is an unstable boundary case: the dimen-
sion is big enough to have room for wild things to happen,







VOL 18. NO 1. UNIV OF FLORIDA MATHEMATICS NEWSLETTER.


but the dimension is too small to allow room to tame and
undo that wildness.

Mathematical context: Of course, to better understand dif-
ferentiable 4-manifolds one needs to have some perspec-
tive on their larger mathematical context.

Structures: For example, differentiable 4-manifolds are in-
cluded in the much wider class of topological 4-manifolds.
Thus, one needs to see how the world of topological 4-
manifolds is different. At this moment, the topological
realm is in fact much better understood than the differ-
entiable realm, while the latter has just started to unveil
its wildness. Contrasting the two territories is necessary
for gaining the proper perspective. A first remark is that,
by softening one's outlook from differentiable to topologi-
cal, one makes many differentiable manifolds look topolog-
ically the same. (You should probably think of this in anal-
ogy with considering topological spaces up to homotopy
equivalence: many quite different spaces look homotopi-
cally the same.) A second remark is that many topological
manifolds do not admit differentiable structures at all.

In the opposite direction, not by weakening the structure
but by adding extra rigidity, lies the realm of 4-manifolds
that admit complex structures, namely the empire of com-
plex surfaces. (A complex structure on a 4-manifold models
it by pieces of C2, glued by holomorphic maps.) Complex
surfaces are also better understood than differentiable 4-
manifolds, and are an excellent source of examples. The
extra rigidity of the complex realm ensures that many
complex surfaces that seem the same as differentiable 4-
manifolds are in fact quite different as complex manifolds.
And, of course, most differentiable 4-manifolds will not ad-
mit any complex structures whatsoever.

Other dimensions: For gaining the proper perspective on
4-manifolds it is inevitable to also peek at what happens
in other dimensions. Manifolds of dimension 1 are a bore
(circles and lines), manifolds of dimension 2 (real surfaces)
have been well-understood for quite a while. If we accept
the Poincar6 Conjecture (which might have been proved in
2003 by G. Perelman, whose proof is still under scrutiny as
of this writing), manifolds of dimension 3 are essentially
governed by their fundamental groups (but of course are
far from being completely understood). In any case, the dis-
tinction between differentiable and topological manifolds is
inexistent in lower dimensions, and simply-connected man-
ifolds are uninteresting (again, with faith in the Poincar6
Conjecture).

On the other hand, in dimensions higher than 4, a the-
ory of a completely different flavor has been developed
for dealing with differentiable manifolds. For simply-
connected high-dimensional manifolds, the main tool is the
h-Cobordism Theorem, discovered in 1960. Its power in


helping clear the waters in high dimensions cannot be un-
derstated, and its author, Steven Smale, received a Fields
Medal (the mathematical equivalent of the Nobel Prize) for
discovering it.

Developments: Such a powerful tool as the h-Cobordism
Theorem lying just one dimension higher than the realm
of 4-manifolds can only tempt one to use it in our land as
well. An examination of its high-dimensional proof reveals
that it hinges on the ease of embedding 2-dimensional
disks in the manifold; that ease disappears in dimension
4. Nonetheless, eventually Michael Freedman was able
to prove in 1981 the h-Cobordism Theorem for dimension
4, but at the price of dropping differentiability and soften-
ing to the more flexible domain of topological manifolds.
That enabled him to quickly obtain a complete classification
of simply-connected topological 4-manifolds, and earned
him a Fields Medal.
But just one year later, Simon Donaldson showed that
in contrast the realm of differentiable 4-manifolds is not
so easy to understand. Making use of differential geo-
metric methods, he showed first that most topological 4-
manifolds do not admit any differentiable structures. Later,
he exhibited differentiably-distinct 4-manifolds that look
the same topologically, and even infinite families of such.
These results led to a Fields Medal as well.
After about ten more years, in 1994, Nathan Seiberg and Ed-
ward Witten, two string-theory physicists, came up with
a different approach to Donaldson's insights, which was
much easier to use and thus proved to be quite more power-
ful. (E. Witten already held a Fields Medal for his previous
mathematical work; for his work in theoretical physics he
is year-after-year present on Time's list of the "World's 100
Most Influential People"; Steven Hawking does not make
that list.) While Donaldson's methods worked best on com-
plex surfaces, the Seiberg-Witten methods are much more
flexible, and led to more striking results. Among them is a
method (due to R. Fintushel and R. Stern) for modifying
many 4-manifolds in a manner that alters their differen-
tiable structure but does not change their topological type.

Conclusion: The paradoxical result of all these advances is
that they just made more and more obvious the level of our
current ignorance, opening windows towards vast fields of
unsuspected phenomena, for which presently we do not
even have methods of exploration. As a simple example,
we currently have no tools for studying differentiable mani-
folds that topologically look the same as the 4-dimensional
sphere: there might be infinitely many distinct such crea-
tures, or just old S4.

It's a wide and wild world out there.







14 LITTLE BY LITTLE. SPRING 2004.


People


Faculty, Alumni, and Staff Notes
by Paul Ehrlich


.ROFESSOR Emeritus Nicolae Dinculeanu re-
' ceived an honorary doctorate from the Univer-
S sity of Bucharest, Romania on June 30, 2003. In
e Y. July, he was elected as a member of the Roma-
nian Academy. In connection with this visit to Romania, he
also attended the Congress of Romanian Mathematicians,
where he presented a lecture on Stochastic integration in
Banach spaces.
We are pleased to belatedly report that two of our faculty
members are active on national committees of the Associa-
tion for Symbolic Logic. Professor Douglas Cenzer is serv-
ing as Chair of the Committee on Membership and Profes-
sor Jean Larson is serving as Chair of the Committee on
Education.
A Conference on Groups, Representations and Galois The-
ory in Honor of Walter Feit was held at Yale University
during October 30, 2003 through November 2, 2003. Pro-
fessor Alexandre Turull and Graduate Research Professor
John Thompson delivered plenary lectures at this meeting.
Indeed, Thompson opened the conference with a lecture
on Galois groups and finite projective planes. Turull lec-
tured on Schur indices and fields in character correspon-
dence. Two enjoyable aspects for the Editor of the confer-
ence web site included the phrase "Only a lower bound (of
two hours) is provided for the travel time from the New
York airports. (Those curious might contact the Guinness
Book of World Records for an upper bound)." Also, the con-
ference extended over the Halloween Holiday, so the social
schedule included a notice that a Halloween Party would
be held at the home of the Feits on October 31st. There the
conference web site noted that "Costumes are not manda-
tory. Coming as a mathematician is scary enough."
We are pleased to be able to report that proceedings of
the conference in Galois Theory held here during Novem-
ber, 2002, as detailed in the last issue of the newsletter,
have appeared in the Developments in Mathematics series
of Kluwer Academic Publishers. Professor Helmut Voelk-
lein and UF PhD 2001 alumnus Professor Tanush Shaska
of the University of Idaho served as co-editors of this vol-
ume. The volume appears with the title Progress in Galois
Theory: Proceedings of the John Thompson 70th Birthday
Conference. Voelklein authored an article The image of a
Hurwitz space under the moduli map, and also Voelklein,
Shaska and fellow UF PhD alumnus Dr Vishwanath Krish-
namoorthy co-authored an article on Invariants of binary
forms for the volume.


The faculty was well represented at the 2003 Fall South-
eastern Sectional Meeting of the American Mathematical
Society held at the University of North Carolina at Chapel
Hill during October 24-25, 2003. Of especial note, Profes-
sor Helmut Voelklein delivered an Invited Hour Address
on Interactions between group theory and algebraic curves
via Riemann's existence theorem. In addition, Voelklein
along with past departmental visitor Professor Kay Maa-
gard of Wayne State University organized a Special Session
on Group Actions on Curves. Professor Pham Tiep spoke
in this Session on The eighth moment and Larsen's conjec-
ture and Voeklein spoke on A catalog of the loci of curves
of low genus. UF PhD alumnus Professor Tanush Shaska
spoke in this same Session on the topic of Coverings of de-
gree 5 from a genus 2 curve to an elliptic curve. Shaska
is now at the University of Idaho, having finished his post-
doctoral appointment at UC Irvine. In addition to the par-
ticipation of the algebraists in that session, Professor Yuli
Rudyak also participated in the meeting, speaking on Al-
gebraic structures on generalized strings at a Special Ses-
sion on Homological Physics. Also, Professor John Mayer,
UF PhD 1982, of the University of Alabama at Birmingham
spoke in a Special Session on Measurable, Complex and
Symbolic Dynamics on Indecomposable Continua and the
Julia Sets of Rational Maps.
Three faculty members, Professors Pham Tiep, Alex Turull,
and Larry Wilson, participated in the 995th Sectional Meet-
ing of the American Mathematical Society held at Ohio Uni-
versity in Athens, Ohio during March 26 and 27, 2004. Tu-
rull spoke on A strengthening of the McKay Conjecture by
including local fields and local Schur indices, Tiep gave
a preliminary report on Real conjugacy classes in alge-
braic groups and finite groups of Lie type, and L. Wilson
spoke on Bounds on orders of products in p -groups. Also,
Professor Douglas Brozovic, a co-author of Professor Chat
Ho's, spoke on their joint work on Some characterizations
of finite Desarguesian translation planes by orders of sub-
groups of collineations.
Two faculty members and one UF PhD alumna participated
in the Annual Winter Meeting of the American Mathemat-
ical Society held in Phoenix, Arizona during January 7-10,
2004. Professor Richard Crew spoke in a Special Session on
Arithmetical Algebraic Geometry on the topic of Vanishing
Cycles in Rigid Homology. A new faculty member in math-
ematical biology, Professors Maia Martcheva, participated
in a Special Sessions in Mathematical Biology, speaking on
Competition and Coexistence of Strains: The Impact of Vac-
cination in a Special Session on Competitive and Adaptive
Dynamics in Ecology. Professor Chawne Kimber, UF PhD
1999, from Lafayette College, co-organized a panel discus-
sion on the topic of Finding your next job. ...
Continued on page 17.







VOL 18. NO 1. UNIV OF FLORIDA MATHEMATICS NEWSLETTER. 15


The Annual Students, Staff, and Faculty Appreciation Day


Associate Chair Jim Brooks capably acted as
Master of Ceremonies.


Faculty advisor Profes-
sor Kenneth Keating pre-
sented a certificate of
appreciation to Michael
Skobel for his participa-
tion on the Putnam Exam
Team.


Professor Bruce Edwards, faculty advisor in mathematics for the
Actuary Club, presented awards to Betsy Hansen, Lisa Smith, Al-
berto Abalo and Kyle Scherer.


Selection Committee Chair Professsor Richard Crew
presented Benjamin Wood with the prize for the Robert
Long Essay Competition.


Director of Graduate Studies Professor Paul Robin-
son presented certificates to the officers of the
newly established SIAM Gators club: Treasurer Ad-
nan Sabuwala, President Beyza Aslan, and Secre-
tary/Webmaster Sukanya Krishnaswamy.






16 LITTLE BY LITTLE. SPRING 2004.

The Annual Students, Staff, and Faculty Appreciation Day


Professor Robinson also presented certificates
to the officers of the older Graduate Mathemat-
ics Association: Co-Presidents Sheshadri Thiru-
venkadam and Zia Uddin and Vice-President
Bria Berger.


Shu-Jen Huang (not shown), Erika Migues and Michael
Schroeder received Certificates of Excellence for Graduate
Student Teaching.


Professor Miklos Bona was recognized for win-
ning a 2004 CLAS Teaching Award.


aI VI

Office manager Sandy Gagnon was recognized for 15 years service at UF and Senior Secretary Julia Porchiazzo for 5 years
service. Here they are shown at a reception held by CLAS on June 2 in the Keene Faculty Center.
[Photo courtesy of Jane Domiguez, CLAS News and Publications.]







VOL 18. NO 1. UNIV OF FLORIDA MATHEMATICS NEWSLETTER. 17

The Annual Students, Staff, and Faculty Appreciation Day


Professor Steven Saxon was presented with a plaque by Chair
Krishna Alladi marking his many years of service at UF


Ms. Deniz Kazanci (from Istanbul, Turkey) served as President dur-
ing 2003-2004 of the University of Florida Chapter of the Pi Mu Ep-
silon International Honor Society. Through monthly talks, Kazanci
reported, "our goal is to serve the intellectual student body at our Uni-
versity by igniting the interests of our colleagues who are interested
in mathematics and related areas. Let's explore our minds and the
universe together through the pathway of mathematics." A Note she
co-authored with Professor Andrew Vince about A Property of Nor-
mal Tilings is appearing in the November 2004 issue of the American
Mathematical Monthly.


People


Faculty, Alumni, and Staff Notes
by Paul Ehrlich

Continued from page 14.

... This panel was cosponsored by the Young Mathemati-
cians Network and the MAA Project NExT.
Professors Jindrich Zapletal and Bill Mitchell were ple-
nary lecturers at a Workshop held at the Institute for Ad-
vanced Study at Hebrew University in Jerusalem during
March 23-29, 2004 on the theme Cardinal Arithmetic at
Work. Also, Zapletal and Professor Douglas Cenzer or-
ganized the 10th South-Eastern Logic Symposium (SEALS)
held here during March 2004 (as reported that it would be
done inside the last issue of this newsletter) with twenty
participants and funding from the National Science Foun-
dation. This annual conference emphasized computability
theory and set theory, areas of logic in which UF has sev-
eral graduate students. About thirty mathematicians partic-
ipated this year, coming mostly from the eastern seaboard.


The principle speakers were Professors Denis Hirschfedt
(Chicago), Slawek Solecki (UIUC), and Stevo Todorcevic
(Toronto). Thanks to the generous support from the de-
partment, CLAS and NSF, the organizers were able to cover
travel expenses of several graduate students attending the
conference.
The fourth World Congress of Nonlinear Analysts, held in
Orlando at the Hyatt Grand Cypress Resort Hotel from
June 30 to July 6 was a delightful affair in this charming
venue. Our department was represented by Professors Paul
Ehrlich, Jed Keesling, John Klauder, and David Metzler.
Ehrlich co-organized a Session on July 1 and 2 on Geometric
Analysis in Mathematical Physics. Metzler delivered a sur-
vey lecture on Fine structure of orbfolds on July 1. On July
2, Ehrlich lectured in place of his former student Professor
Seon-Bu Kim of Chonnam National University in South Ko-
rea (who was unable to attend as previously planned), on
their joint research on The index form of a warped product.
Keesling spoke in a session on July 5 in Topological and
Analytical Methods in Differential Equations on Strange
adding machines. Klauder chaired a Miscellaneous Ses-


--i.- '%%. -







18 LITTLE BY LITTLE. SPRING 2004.

People


sion also on July 5 and spoke on Mathematical aspects
of Wiener-measure regularization for quantum mechanical
path integrals. At the conference banquet an example was
provided of the connectivity phenomena which had been
mentioned a few years ago in one of our distinguished lec-
ture series inaugurated by Chair Alladi. When our gradu-
ate Dr Bernhard Bodmann had been visiting UF this past
spring, he told Ehrlich that he had done some applied work
with a chemist at the University of Houston. Who should be
at Ehrlich's table but this very same chemist, as he revealed
when Ehrlich asked him if he had met Bodmann.
Professor Krishnaswami Alladi gave an invited special ses-
sion talk at the AMS Meeting in San Francisco during May
2003. In July and August 2003, during a visit to India, Al-
ladi gave talks at the Tata Insitute, the Raman Research In-
stitute, and the Indian Statistical Institute in Bangalore, as
well as several lectures in his hometown of Madras (now
called Chennai). In November 2003, Alladi visited The
Pennsylvania State University to give two lectures: One
was a departmental colloquium on his research entitled
New weighted Rogers-Ramanujan partition theorems and
their analytic representations. The second was a MASS
Colloquium on the topic Irrationality estimates using inte-
gration by parts for talented undergraduate students. The
MASS (Mathematics Advanced Study Semesters) Program
is funded by the NSF and brings together the best un-
dergraduate math students from around the nation for a
semester's intense mathematical training. In December
2003 Alladi gave a plenary talk at an International Confer-
ence on Number Theory and Secure Communications that
was inaugurated by the President of India (see page 11 for
details). The title of Alladi's lecture was A new compan-
ion to Ramanujan's continued fraction. During this visit,
he also gave the opening lecture at an International Con-
ference on Number Theory in Bangalore, India, and visited
the Harish Chandra Research Institute in Allahabad for two
talks. Finally, in February 2004, Alladi gave the opening ple-
nary talk at the third China-Japan Number Theory Seminar
in Xian, China. In addition to these research colloquia and
conference lectures, Alladi gave two public lectures in Jack-
sonville on the mathematics of the Indian genius Srinivasa
Ramanujan. The first of these was a Science Colloquium at
the University of North Florida on October 31, 2003, and the
second a talk in the Science and Engineering Lecture Series
(SELS) at Jacksonville University on February 19, 2004.
During the academic year 2003-2004, Professor Miklos
Bona received a CLAS teaching award during the annual
selection process.
In additional to participating in the organization of the
10th SEALS Conference as reported above, Professor Dou-
glas Cenzer was on the Program Committee for the In-
ternational Conference on Computability and Complexity


in Analysis, held in Cincinnati during August, 2003, with
funds from the NSF. Cenzer gave a talk at this meeting and
also chaired the session on open problems. Cenzer and for-
mer UF PhD student alumnus Farzan Riazati were invited
speakers at a Workshop on Computability and Logic held
in Heidelberg during June, 2003. Cenzer also spoke at the
8th International Symposium on Artificial Intelligence and
Mathematics held in Fort Lauderdale during January, 2004.
During April 5-9, 2004, Professor Yunmei Chen visited
Yale University, Rutgers University and Siemens, lecturing
on using PDE methods for biomedical image segmentation.
Also her work with her students on diffusion weighted
image analysis has been selected for presentation at the
International Conference of Computer Vision and Pattern
Recognition.
Professor Richard Crew was in Japan during May and June,
2004, spending May at Hiroshima University and June at
Chiba University.
Professor David Drake gave invited talks at two confer-
ences during the past year: the third Pythagorean Confer-
ence in Rhodes, Greece and a Canadian Mathematical So-
ciety Symposium on Design Theory and Coding Theory in
Edmonton, Canada
Professor Alexander Dranishnikov was recently ap-
pointed to the Editorial Board of the Proceedings of the
American Mathematical Society. He is currently also on
the editorial boards of the journals Algebraic and Geomet-
ric Topology, Topology and its Applications, and Funda-
menta Mathematicae. During March 28-April 2, 2004, Dran-
ishnikov participated in the Troisieme Cycle Romand de
Mathematiques in Les Diablerets, Switzerland, delivering
two lectures on Invariants de quasi-isometrie.
Professor Bruce Edwards was on sabbatical during the
Spring semester, 2004, doing more research on CORDIC
and textbook revisions. Especially, Edwards traveled to
Costa Rica during February, 2004. He spoke at the 13th In-
ternational Symposium on Mathematical Methods in San
Jose, Costa Rica, giving a Keynote Address in Spanish
(QComo Trabajan las Calculadoras?) on the Cordic algo-
rithm for calculating function values. Edwards also spoke
at Lincoln High School in San Jose and gave a series of
workshops at the University of Costa Rica on teaching
mathematics using graphics calculators. New editions of
five co-authored textbooks have appeared-College Alge-
bra, Trigonometry, Precalculus, Precalculus with Limits,
and Algebra and Trigonometry, all with Houghton Mifflin
Publishers. Also Bruce spoke at the NCTM regional meet-
ing in Charleston, South Carolina during November, 2003
on the advanced placement calculus syllabus.
Professor Paul Ehrlich was an invited plenary speaker at
a W.E. Heraeus Seminar on Mathematical Relativity: New







VOL 18. NO 1. UNIV OF FLORIDA MATHEMATICS NEWSLETTER. 19

People


Ideas and Developments held at the Physikzentrum in Bad
Honnef, Germany during March 1-5, 2004. Ehrlich lectured
on A Personal Perspective on Global Lorentzian Geome-
try. Also, the proceedings of the BeemFest held in May
2003 at the University of Missouri, marking the retirement
of Ehrlich's long time collaborator, Professor John Beem,
were finalized for publication as a volume of the American
Mathematical Society's Contemporary Mathematics series.
Ehrlich served as a co-editor of these proceedings.
As part of the privileges of having been elected Visiting
Fellow of All Souls College, Oxford (England), Professor
Gerard G. Emch spent the Hilary term 2004 there, and he
was simultaneously a Visiting Philosopher at the Depart-
ment of Philosophy, Oxford University. He contributed the
following addresses while in Oxford: Heuristic and logical
models to the Philosophy of Physics Seminar, January 22,
2004; Objective and subjective probabilities for micro- and
macro-physics to the Theoretical Physics Seminar, February
20, 2004; Symplectic geometry and gravitation to the Euro-
pean Science Foundation (ESF) Philosophy of Space-Time
Workshop, March 25, 2004. Before and after Oxford, he
gave invited lectures at the following international confer-
ences: Quantum Information, Kyoto (Japan), November 6,
2003; ESF Foundational issues in Statistical Physics Work-
shop, Utrecht (The Netherlands), November 29, 2003; first
Joint Indian and American Mathematical Societies Meeting,
Bangalore (India), December 18, 2003; Foundations of Prob-
ability, Vaxjo (Sweden), June 8, 2004.
Professor Frank Garvan authored an article which ap-
peared in the Rankin Memorial Issues of the Ramanujan
Journal. Garvan, an expert in modular forms, wrote on
Relations between the ranks and cranks of partitions with
A.O.L. Atkin.
Professor Jay Gopalakrishnan received a grant from
Medtronic Inc to study the numerical modelling of irrigated
ablation devices. He again received the Oden Faculty Fel-
lowship at the University of Texas at Austin to support his
research for one month while he is in residence at the Uni-
versity of Texas.
Professor William Hager helped to orchestrate the Special
Year in Applied Mathematics (see the articles by Beyza
Aslan and Adnan Sabuwala, as well as by Shari Moskow
in this newsletter).
Professor Norm Levin returned to Paris in May 2004 for a
Conference on K -Theory and Noncommutative Geometry
at the Institute Henri Poincar6.
Professor Jorge Martinez organized and hosted the 7th In-
ternational Conference on Ordered Algebraic Structures on
campus from March 3-6, 2004. Both of his PhD students Ri-
cardo Carrera and Eric Zenk, who are receiving their PhD's


in August, 2004, lectured at this conference. This confer-
ence is the most recent in a series of conferences on this
topic, which began informally in 1998, and has been hosted
here and in Nashville, at Vanderbilt University, by Martinez
and Professor C. Tsinakis, respectively. These conferences
have brought researchers from various disciplines and from
around the globe to the two campuses. This includes the
participation of colleagues from Argentina, France, Ger-
many, Greece, Italy, Japan and Tunisia. The conference in
March, 2004, was jointly funded by the National Science
Foundation and UF's Office of Research and Graduate Pro-
grams, the College of Liberal Arts and Sciences, and the De-
partment of Mathematics. The 8th conference in this series
is scheduled to be held in April, 2005, at the University of
Mississippi.
Professor Sergei Pilyugin spent April through June, 2004
at a new Mathematical Biosciences Institute at Ohio State
University. There Pilyugin was a co-organizer of two work-
shops related to his research interests. In May, a workshop
was organized on cell signaling and modeling of the im-
mune system, and in June a workshop was held on the
host-pathogen interactions that also involve the immune
system. Also, Pilyugin lectured at Rutgers University on
his research involving microbial kinetics and the dynamics
of chemostats. Finally, we are pleased to be able to report
that Sergei has been named to the Editorial Board of the
journal Mathematical Biosciences and Engineering.
Professor Yuli Rudyak was a plenary speaker at the
42nd Annual Cornell Topology Festival during May 2004.
Rudyak spoke on the topic of On category weight and the
Arnold conjecture on symplectic fixed points.
Professor Pham Tiep spent June, 2003 at the University of
East Anglia in Norwich, Great Britain, to carry out research
projects with colleagues in East Anglia as well as the Uni-
versity of Cambridge. His visit was supported by the Engi-
neering and Science Research Council of the United King-
dom. While in the UK, Tiep lectured at the University of
East Anglia on June 9th and at Cambridge University of
June 18th. Tiep also gave a Colloquim at the Hanoi Institute
of Mathematics in Hanoi, Vietnam on October 21, 2003.
Professor Jindrich Zapletal published a Memoir of the
American Mathematical Society in March 2004 on Descrip-
tive Set Theory and Definable Forcing.
The annual Department of Mathematics Appreciation Day
Tea was held on Thursday afternoon, April 22, 2004
with general master of ceremonies Associate Chair James
Brooks. Graduate Coordinator Paul Robinson provided
his English sense of humor during his part of the pro-
gram with his comments on the contrast between the SIAM
Gators, which had two treasurers this past academic year,
and the Graduate Mathematics Association, which had two







20 LITTLE BY LITTLE. SPRING 2004.

People


co-presidents. Both Chair Krishna Alladi and Undergrad-
uate Coordinator David Groisser commended the staff for
keeping the department running during a shorthanded pe-
riod during which both Pam Harrelson and Vicki Vallence
had found other positions and yet we were holding five
conferences in succession during early March. These com-
ments were specifically occasioned by the recognition of
staff members Julia Porchiazzo for five years service and
Sandy Gagnon for fifteen years service in the department.

This year, the candidates for the yearly undergraduate
mathematics prize, the Kermit Sigmon Scholarship, were so
competitive that the committee for this award found that four
students merited Honorable Mentions (Deanna Abernathy,
Michael Damron, Marc Harper, Guy Tal) in addition to
naming the winner, Micah Coleman. We had previously re-
ported that Micah's Undergraduate Scholars Project on Per-
mutations containing the highest possible number of pat-
terns, done under the guidance of Professor Miklos Bona,
had received an award under this program. We can further
report that this spring, Coleman received one of four final-
ist awards in the competition for the best quantitative paper
written under this program. Starting in August, Micah will
start his graduate studies in our program with an Alumni
Fellowship and has also published his project as a research
article in the Electronic Journal of Combinatorics. The pa-
per gives an almost optimal answer to a question of Profes-
sor Herbert Wilf of the University of Pennsylvania.

On a less happy note, we regret to inform the readership
that at the Recoginition Tea, Professor Bruce Edwards pre-
sented for the last time the Actuary Club Awards to Alberto
Abalo, Betsy Hansen, Lisa Smith, and Kyle Scherer. The
two allied faculty members in Statistics and in Finance that
were involved in the UF actuarial program with Edwards
have both retired and ceased their participation in this pro-
gram. So regretfully, it has been decided to phase out this
program. In the context of the actuarial program, Edwards
had been teaching a course MAP 3170: Introduction to Ac-
tuarial Mathematics in recent years.



More Alumni News
by Paul Ehrlich


"-"' ROFESSOR John Kenelly, UF PhD 1961, Alumni
' Distinguished Professor Emeritus at Clemson
.. University, received the Certificate of Meritori-
c Y. ous Service from the Southeastern Section of the
Mathematical Association of America at the Phoenix Joint


Mathematics Meeting during January 2004. The MAA Fo-
cus had the following citation of Kenelly: "Currently the
Treasurer of the Association, Kenelly has served both his
Section and the MAA in many ways: as a leader in the re-
form of teaching and the use of technology in the classroom,
as a fund raiser, and by his work as an officer and a mem-
ber of many committees." Kenelly served as the President
of the International Mathematics Olympiad 2001 and will
be serving as the Treasurer of the MAA through 2007 and
possibly longer.
Professor Alice Mason, BA 1970, MS 1977, PhD 1983, of
the Department of Mathematics at Tennessee Tech Univer-
sity in Cookeville, Tennesse, passed away on March 6, 2004
from complications following cardiac bypass surgery in
November, 2003. After receiving her bachelor's degree
from UF, Mason taught mathematics at the High Point High
School in Beltsville, Maryland in a suburb of Washington,
DC from 1970 to 1975 before returning to UF for the masters
degree. Following that degree, Mason was at the University
of Tennessee in Knoxville, but returned to UF where she
earned the doctorate in 1983 with a thesis on Open Map-
pings and Dimension written with advisor Professor David
Wilson. After receiving her PhD, Mason joined the faculty
at Tennessee Tech where she served as Chair during 1986-
1998. The Tennesse Tech Times reports that during her time
at Tennessee Tech, "she served on several committees and
university task forces, and published papers in, among oth-
ers, The Journal of Mathematical Behavior". Alice's home
page reveals her continuing love for topology-she offers
an illustration of how a topologist can turn a coffee cup into
a doughnut and also of the Mobius strip.
Professor Chuck Lindsey, UF PhD 1988, remains at the
Florida Gulf Coast University, where he was one of the
founding faculty in mathematics. He is currently Associate
Dean of the College of Arts and Sciences as well as Asso-
ciate Professor of Mathematics. He was nominated to stand
for election as the Florida Section Governor in the Mathe-
matical Association of America in the March, 2004 election
for that office.
Robert W. Shuford, UF BS 1998, reports that he is a Re-
search Programmer at the Center for Naval Analysis, lo-
cated in Arlington, Virginia, a "mere two hour commute"
from where he lives in Jessup, Maryland.
According to the Summer 2004 Alumni CLAS Notes, Dr Ju-
lian C. Bridges, BA 1952 in English, Mathematics and Psy-
chology, retired in May 2004 after 31 years as a sociology
professor at Hardin-Simmons University in Abilene, Texas.
He earned five degrees over a 21 year period, including an
MA and PhD in sociology from UF in 1969 and 1973 respec-
tively, and a doctorate of theology from Southwestern Bap-
tist Theological Seminary in 1961. He is the former pastor
of the First Baptist Church of Dallas.







VOL 18. NO 1. UNIV OF FLORIDA MATHEMATICS NEWSLETTER. 21

People


Professor Soon Chul Park, UF PhD 1999, spent the 2003-
2004 academic year in the department participating in the
Special Year in Applied Mathematics.
Professor Stacey Levine, UF PhD 2000, is an Assistant Pro-
fessor in the Department of Mathematics and Computer
Science at Duquesne University in Pittsburgh, Pennsylva-
nia. Levine participated in the January 2004 Conference on
Mathematical Methods in Imaging and Vision in the Special
Year in Applied Mathematics, lecturing on Nonstandard
Growth Models in Image Restoration. During the spring
semseter, 2004, Levine was teaching Differential Equations
and Linear Algebra and Optimization in her department.
Visiting the Duquense web site revealed that that institu-
tion maintains an internet link, the Blackboard, for interac-
tion with students via the internet, which Stacey employs.
On completion of his postdoctoral appointment at the Uni-
versity of California at Irvine, Professor Tanush Shaska, UF
PhD 2000, has received a tenure track appointment in the
Department of Mathematics at the University of Idaho in
Moskow, Idaho, where he is responsible for teaching gradu-
ate courses in algebra. Shaska served as co- editor of the
Proceedings of the November 2003 conference at UF on
Progress in Galois Theory, part of the Thompson 70th Birth-
day celebrations, which appeared in the Developments of
Mathematics Series of Kluwer Academic Publishing dur-
ing 2004. Shaska co-authored an article for this volume
on Invariants of binary forms along with Professor Helmut
Voelklein of our department and fellow PhD alumnus Dr
Vishwanath Krishnamoorthy, UF PhD 2001. Shaska is also


organizing a Session on Computational Aspects of Alge-
braic Curves for the 10th International Conference on Ap-
plications of Computer Algebra, being held at Lamar Uni-
versity in Beaumont, Texas during July, 2004. He wrote in
an e-mail that "It is very beautiful here [in Idaho], especially
in the summer. I was here last summer and there are some
of the most amazing sights I have ever seen."
Professor Bernard Bodmann, UF PhD 2001, now of the De-
partment of Mathematics of the University of Houston, vis-
ited the department in mid-March, lecturing on From the
Quantum Fuzz to Filters: The Uncertainty Hedgehog and
the Hare.
Professor Oana Mocioalca, UF PhD 2003, is currently a
Visiting Assistant Professor in the Department of Mathe-
matics at Purdue University. Oana returned to campus in
December 2003 and spoke in the Probability Seminar on
Malliavin calculus for Gaussian processes. During the fall
semester at Purdue, Mocioalca was teaching Linear Alge-
bra and Advanced Engineering Mathematics. Oana also
was here again in March and lectured on Skorchod Integral
for Gaussian Processes.

Graduate student Rebecca Smith has had a paper on Com-
paring Two Sorting Algorithms by Two Stacks in Series ac-
cepted for publication in the Annals of Combinatorics. A






22 LITTLE BY LITTLE. SPRING 2004.


A Note of Thanks
by Krishna Alladi


It is again a pleasure to warmly thank all of those who A. Josephs, Philip B. Kane, Lee A. Kraftchick, Jorge
contributed to the support of our educational activi- Martinez, John C. Mayer, Jean M. McDill, Warren
ties during the past year. For the Fiscal Year 2003-2004 W. McGovern, Joseph J. Neal, Laura J. Rohrbaugh,
we received a total of $5,460 in gifts to the various de- Robert W. Shuford, Irvin L. Smith, Linda W. Smith,
apartment foundation accounts. Non-anonymous do- Lucinda F Thomas, Dongxing Wang, and Richard
nations included contributions from John W. Devine, K. White.
Karen Fagin, Thomas F Hagan, William R. Hare,
William A. Hemme, Patches L. Johnson, Keith


DEPARTMENT OF MATHEMATICS
UNIVERSITY OF UNIVERSITY OF FLORIDA
UNIVERSITY OF 358 LITTLE HALL
GAINESVILLE FL 32611-8105
F I Editor: Paul Ehrlich
Co-Editors: Larry Wilson and Alex Scorpan
Design and Production: Alex Scorpan






VOL 18. NO 1. UNIV OF FLORIDA MATHEMATICS NEWSLETTER. 23


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