MATHEMATICS DEPARTMENT
It has been a great year in the Department of
Mathematics at Williams. We were happy to have Frank Morgan, Ed
Burger and Victor Hill back from full year leaves and Stewart Johnson
and Cesar Silva back from half-year leaves. This fall, Mikhail
Chkhenkeli was at Harvard for his junior leave. Susan Loepp spent the
entire year at Michigan State. This spring, we hired a new member of
the department, Janine Wittwer, from the University of Chicago. She
studies wavelets and will be joining us in the fall.
An article about the successes of the
Williams Mathematics Department appeared in Newsweek magazine
in the June 5, 2000 issue (p.61). It focused on the increase in the
number of majors (42 graduating this year, an all-time high) and on
how the Department makes math fun, without watering it down.
Over the last year, Colin Adams served his
third and final year as chair of the Department of Mathematics. In
summer of 1999, Colin Adams worked with three students as part of the
SMALL summer program on alternating knots, extending previously known
results. One of the students, Tom Fleming, went on to do a thesis
with Adams, extending the results still further.
Professor Adams finished his term as one of
the two Polya lecturers for the Mathematical Association of America,
giving a variety of expository talks around the country. He began his
term as a Sigma Xi Distinguished Lecturer, one of two in mathematics.
For the opening banquet of Mathfest, the national summer math
meetings in Providence in 1999, Adams and 18 performers from the
faculty and students of SMALL put on “The Newest Inductee in
the Number Hall of Fame”. Written by Adams, it presents the
awards ceremony for the Number Hall of Fame, where the Geiseking
Constant (played by Susan Loepp) is inducted, with explanation as to
why. At the opening banquet of the winter mathematics meeting in
Washington D.C. in January 2000, Adams, five members of the faculty
and a student presented
Vital Sines, a short play about a
mathematics emergency room.
Melkana Brakalova, a high school teacher from the Hotchkiss School
receives an award at MathBlast! 2000.
Organizers of the event, Mikhail Chkhenkeli, Edward Burger and Olga
R. Beaver, appear behind her.
Professor Adams also began his career as
a mathematics humor columnist in the Mathematical Intelligencer, an
expository mathematics magazine. So far, two of his stories have
appeared. He also published three research papers, one of which was
co-authored with four students.
Professor Adams created a new course called “Applied
Topology” in spring, 2000. He is co-authoring a textbook
for the course. This next year, he will be on leave but at Williams,
working on a variety of projects, including an on-line calculus
course, several research papers on knots and on hyperbolic
3-manifolds, additional books in the How to Ace Calculus series, and
a book with attached toy called “Why Knot?” His research
will be supported by a continuing grant from the National Science
Foundation. This spring, Adams was named the Francis Christopher
Oakley Third Century Professor of Mathematics.
This year, in addition to serving on several
college committees, Professor Ollie Beaver coordinated the high
school outreach program MathBlast! 2000. MathBlast! is a daylong
program of mathematically oriented contests, games and workshops,
designed to excite high school students about mathematics. Nearly 100
students and teachers came from as far as Connecticut to participate
in the first annual happening. In January, Beaver attended the annual
meeting of the American Mathematics Society in Washington D.C. At
Williams, Beaver gave a fall Faculty Seminar. She has also continued
her long association with the Summer Science Program for minority
students, again teaching in the mathematics component.
Professor Edward Burger spent part of the
summer of 1999 as a Visiting Fellow at the Centre for Number Theory
Research at Macquarie University in Sydney, Australia. In the fall,
he offered a new senior seminar, discovery approach, tutorial in
number theory. The course led to the upcoming text, Exploring the
Number Jungle: A Journey into Diophantine Analysis to be
published this summer by the American Mathematical Society. Burger
was awarded the 2000 Northeastern Section Mathematical Association of
America Award for Distinguished Teaching at a College or
University.
Professor Burger’s first book, The
Heart of Mathematics: An Invitation to Effective Thinking
(co-authored with Michael Starbird from The University of Texas at
Austin) was published in November by Key College Press in cooperation
with Springer-Verlag. This year Burger published three research
papers, and one opinion piece. In the fall, Burger was a contributing
writer for National Public Radio’s ECO-Essays Series. In the
spring, he served as an external reviewer for the science curriculum
at the Massachusetts College of Liberal Arts. He was also a reviewer
for Mathematical Reviews, Addison Wesley Longman Publishers and
Oxford University Press. Burger refereed papers for the Journal of
Number Theory, the Transactions of the American
Mathematical Society, and the MAA’s Mathematics
Magazine.
Professor Burger gave numerous lectures
throughout the country including one of the keynote addresses at the
AMS, MAA, SIAM Meetings in Washington, DC. (See the list of talks at
the end of this section.) Besides the talks he gave in the
Mathematics Department, he also gave an address at the Phi Beta Kappa
Induction in the fall; and gave lectures in the Williams Today
Program; Gaudino Forum; Faculty Lecture Series; Williams College
Faculty Club; HMB Premedical Society; and the Oakley Center. Finally,
with Ollie Beaver he co-hosted the game show “Math Rocks”
at MathBlast 2000.
Professor Mikhail Chkhenkeli continued his
research in Four Dimensional Topology and Gauge Theory. In
particular, he investigated the problem of determining quadratic
forms that occur as intersection forms of smooth 4-manifolds. In the
fall, he visited Harvard University and participated in several
research seminars there. He gave two talks on his research at Tbilisi
State University. At Williams, he gave a Faculty Seminar in
March.
Professor Chkhenkeli was one of the
organizers of MathBlast! 2000 - a Math event for High school
students. In the summer of 2000, he was invited by the Institute for
the Academic Advancement of Youth (The Johns Hopkins University) to
teach courses in Mathematical Reasoning and Game Theory.
Professor Richard De Veaux continued his
research in data mining and computational statistics. He gave several
invited talks and short courses this year on Data Mining, both in
this country and abroad. He was the Dresden lecturer at Swarthmore
College and was the speaker of the year at the Southern California
American Statistical Association chapter in Long Beach, California.
Professor De Veaux continued his work as Associate Editor of
Technometrics, and Environmetrics and started his work
as Program Chair for the Joint Statistical Meetings in Atlanta in
2001.
Professor Thomas Garrity has continued his
research in higher codimensional CR structures, classical algebraic
invariant theory and number theory. His paper “Global
Structures on CR Manifolds via Nash Blow-ups” has been accepted
by the Michigan Journal of Mathematics. His book
All the Math that
You Missed: Preparing for Graduate School in Mathematics has been
accepted by Cambridge University Press. His SMALL group for 1999
developed a web page (
http://www.williams.edu/Mathematics/tgarrity/triangle.html)
on their work in number theory. He had two senior thesis students
this year: Tegan Cheslack-Postava and Adam Schuyler. He spoke a
number of times at Williams this year, including in the faculty
seminar, the math colloquium, the Gaudino forum and the Williams
College Debate Union and gave a talk at Skidmore in the fall. In the
spring, Tom was promoted to full professor. He will be spending next
year visiting the University of Michigan at Ann Arbor.
Victor E. Hill IV, Thomas T. Read Professor
of Mathematics, returned from his year’s sabbatical during
which he worked on the mathematical theory of change-ringing, the
history of the teaching of mathematics at Williams, and materials for
his regular Winter Study “Fantasy Novels of C. S. Lewis and
Charles Williams.” In the fall, he taught a new junior/senior
course on Mathematics of Investment, prepared during his leave.
He continued his work as a freelance
harpsichordist and organist, which included four solo recitals as the
32nd season of his Griffin Hall Concerts at Williams. The
January program took place in the Mathematics Library at Bronfman,
the first time that space has been used for a musical event.
Professor Hill remains on the Board of the Association of Anglican
Musicians, which he also serves on the Editorial Board and as CD
reviewer.
Professor Stewart Johnson continued work in
modeling, control and optimization. Recent work involves an analysis
of continuous verses periodic dosing for cancer chemotherapy,
modeling of hematopoietic stability under stressed conditions, and
measuring performance of cyclic controls. A paper on optimal periodic
chemotherapy has been submitted for publication, and a second paper
on controls with lower bounds for vulnerable subsystems is in
preparation. Over the summer, Professor Johnson will attend the
annual meeting for the Society for Mathematical Biology, with a
particular interest in the symposium on cancer dynamics.
Professor Johnson has developed phase
portrait software for his differential equations course, restructured
his senior seminar in dynamic modeling (which was well received by
this year's seniors), and will again run the quantitative studies
test and learning program this coming year.
Professor Susan Loepp continued her research
in Commutative Algebra. During the summer of 1999, she advised a
group of four undergraduates in the mathematics department’s
SMALL research program. They were successful in proving two original
results in Commutative Algebra. One result appeared in an electronic
undergraduate research journal while the other has been accepted for
publication in the Proceedings of the American Mathematical
Society.
Professor Loepp spent the 1999-2000 year on
leave at Michigan State University working with Christel Rotthaus, a
well-known expert on excellent rings. Her leave was supported by
Williams College and a POWRE grant from the National Science
Foundation. Loepp and Rotthaus successfully proved several results,
including some related to the theory of Tight Closure.
In January, Professor Loepp attended the
annual Joint Mathematics Meetings in Washington DC and in April the
Centennial Celebration of Commutative Algebra in Lincoln, Nebraska,
where she gave a talk on her current research. Loepp gave several
other talks during the year including colloquia at Hope College,
Bethel College, and Williams College. She also gave two seminars at
Michigan State University about her current research.
Professor Frank Morgan and his collaborators
this March announced a proof of the Double Bubble Conjecture (see
Science magazine, March 18, 2000 or Morgan’s Math Chat
column report at
http://www.maa.org/data/features/mathchat/mathchat_3_18_00.html.
Their result says that the familiar double soap bubble indeed has the
perfect shape: the least-area configuration to enclose and separate
the two given volumes of air. The first collaborator, Michael
Hutchings, a 1992 SMALL undergraduate research student, is now Szego
Assistant Professor of Mathematics at Stanford University. The other
two collaborators, Ritoré and Ros of the University of
Granada, Spain, hosted Morgan’s sabbatical visit last spring.
This May, Professor Morgan revisited southeastern Spain, giving
popular talks on “The Geometry of Soap Bubbles 2000,” at
Alicante, Murcia, Valencia, and Cartagena, as well as a short course
for experts. The leading newspaper,
El Pais, wrote: “I
want to know, for example, how much Morgan’s visit is costing
us. ... Unless this gentleman can explain to me how the soap bubbles
of 2000 are markedly different from those of 1999, I do not
understand why an academic institution would spend money for
something like this.” Of course, the point is that geometry is
advancing rapidly, and that what we learn about the simple geometry
of soap bubbles helps us understand the more complicated geometry of
the universe. There were a number of excellent responses in
newspapers and on TV.
In an amazing postscript, the 1999 “SMALL”
Geometry Group extended the proof of the Double Bubble Conjecture to
bubbles in four-dimensional space. Incidentally, two previous
Geometry Groups have current publications on crystals and immiscible
fluids in Acta Crystallographica and the Pacific Journal of
Mathematics.
Professor Morgan’s
Math Chat
Book, a popular collection of math puzzlers for folks who know
nothing about math, based on Morgan's TV show and regular column at
www.maa.org, appeared in January. A
third edition of his
Geometric Measure Theory book appeared in
July, providing the first published accounts of the proof of the
Double Bubble Conjecture and other new results, lavishly illustrated.
He has nine other articles and appearances in print or on radio, and
another ten articles in the pipeline. On the controversial question
of whether the new millennium begins in 2000 or 2001, an AP release
quoted him as saying that, “The inexorable mathematical logic
which cannot be refuted is that the year 2000 is the last year of
this millennium and 2001 is the first of the next millennium.”
He has given over thirty talks.
In January 2000, Professor Morgan taught a
Winter Study on Teaching School, in which Williams students
worked with fourth and fifth graders and publicized the ideas the
young students came up with. One group, led by Math major Brendan
Kinnell ’00, followed the famous Escher in creating their own
tessellations on paper and in a computer video. They appeared on Math
Chat TV and wrote a press release, which resulted in a reporter’s
visit and an article in the Berkshire Eagle.
This spring Morgan’s differential
geometry class found themselves using Einstein’s theory of
general relativity to predict minor discrepancies in the orbit of
Mercury.
Professor Morgan awarded the new $1000 High
School Calculus Student Award from ecalculus.org, based at Williams
and UC Davis, to Beeneet Kothari at Half Hollow Hills High School
West, Long Island. Beeneet has used calculus to model HIV and
recommend new treatments.
Morgan has been elected as second
vice-president of the Mathematical Association of America and chair
of the Nominating Committee of the American Mathematical Society.
Professor Jerome Reiter enjoyed his first
year at Williams College. In research, he had an article published in
the American Mathematical Monthly about how causal inferences
can be made using statistical methods. He also submitted an article
to the Journal of Official Statistics describing methods he
developed for combining information across groups to improve
estimation. He talked about this research at the conference “Interface
2000” in New Orleans and at the 2000 meetings of the
International Society for Bayesian Analysis in Crete. In teaching,
Jerry developed lab modules for use in the department's introductory
statistics courses and taught a new senior seminar on survey design
and analysis. He also advised Cory Heilmann’s senior thesis on
hierarchical Bayesian modeling. In service, Jerry is a General
Methodology chair for the Joint Statistical Meetings of 2001. He also
is a statistical advisor to North Star, a local non-profit
organization seeking to measure and improve the health status of
children in Berkshire County.
Professor Cesar Silva taught a new course on
ergodic theory in the spring. This was a senior seminar that covered
graduate-level material. He wrote the lecture notes for the course
and is currently preparing them for publication.
Professor Silva continued his research in
ergodic theory and had two articles published. One of the articles
contains part of the theses of M. Touloumtzis ’96, E.
Muehlegger ’97, and A. Raich ’98. He also had two other
papers accepted for publication.
In the fall, Silva gave six lectures on
Chaos and Fractals to the Berkshire Institute for Lifetime Learning.
This is an organization in the Berkshires that gives classes to
retired folk interested in learning new topics. The class met at the
Faculty House.
He also was a reviewer for Mathematical
Reviews and a referee for several journals.
MATHEMATICS COLLOQUIA
Colin Adams, Williams College
“Supercrossing Number for Knots”
“Where Number Theory and Ergodic Theory Collide: Hyperbolic
Surfaces Stole the Stop Sign”
H. Sanjeeva Balasuriya, Brown University
“The Bubble Bursts: A Vicious Tail”
Olga R. Beaver, Williams College
“Boolean Algebras, Quantum Logics and
Hilbert Spaces: Are They Friends?”
Jennifer Beineke, Trinity College
“Splendor in the Graphs”
Hubert Bray, MIT
“Proof of the Riemannian Penrose
Conjecture in General Relativity”
Edward B. Burger, Williams College
“Simultaneous Diophantine
Approximation in the Vector Space Q+Q”
“Number, Reason, and Life: some Thoughts on 2000.092237442...”
Mikhail Chkhenkeli, Williams College
“The 11/8 Conjecture”
Dietmar Cieslik, University of Greifswald,
Germany
“The Steiner Ratio”
Andres Del Junco, University of Toronto
“What is Ergodic Theory and What is it
Good For”
“When Does Pairwise Independence Imply Independence?”
Thomas Garrity, Williams College
“Adjunction Formulas”
“How to Give a Prize Winning Talk”
“Partitions of the Plane and Cubic Irrationals”
“On Pseudoconvexity and Complex Function Theory”
Francois Graner, Universite de Grenoble,
France
“Physical Foams and the Minimal
Perimeter Problem”
Victor E. Hill IV, Williams College
“Change-Ringing: It’s Just
Permutation Groups! Well, Not Quite”
Martin Hildebrand ’86, SUNY –
Albany
“Probability, Finite Groups, Erdos,
and a Case of Murphy’s Law”
Stewart Johnson, Williams College
“Applied Dynamical Systems, Optimal
Control, and Applications in Chemotherapy”
“Chemotherapy and Optimal Control”
“Modeling Blood Cell Populations Using Partial, Delayed, and
Ordinary Differential Equations”
Susan Loepp, Williams College
“Bad Excellent Rings”
Frank Morgan, Williams College
Mini-double-header: “The Double Bubble
Conjecture” and “Mass in General Relativity”
“Some Questions about Hale’s Recent Proof of the
Hexagonal Honeycomb Conjecture”
Karin Reinhold, SUNY-Albany
“On Counting Functions and Square
Functions in Ergodic Theory”
Jerome Reiter, Williams College
“Borrowing Strength Without Explicit
Data Pooling: Estimation with External Constraints”
“Confidentiality and Data Disclosure”
Cesar Silva, Williams College
“Student Research in Ergodic Theory”
“Visualizing Measurable Dynamics”
Robert Tubbs, University of Colorado,
Boulder
“A Brief Introduction to Modern
Transcendental Number Theory”
Edward Welsh ’94, Duke University
“My Trip to the Grand Canyon, or,
Adventures in Modeling Surface Erosion”
Janine Wittwer, University of Chicago
“Math, Music and Fingerprints”
MATHEMATICS STUDENT COLLOQUIA
SMALL Commutative Algebra Group
“Completions of Rings”
SMALL Geometry Group
“The Double Bubble Conjecture”
SMALL Knot Theory Group
“Toroidally Alternating Knots”
SMALL Number Theory Group
“On Periodic Sequences and the Hermite
Problem”
Katherine Acton ’00
“Impossible Tessellations: How Not to
Choose Flagstones for your Patio”
Khaleefah Al-Sabah ’00
“From Duels to Truels: What to Do When
You are Slapped in the Face by Two Gloves”
Patrick Andersen ’00
“Random Walk and Ruin Problems”
Lauren Buckley ’00
“Can Math Prevent Species Extinctions?
The Mathematics of Species-Area Relations”
Audrey Chen ’00
“(Islamic) A R T (and group theory)”
Tegan Cheslack-Postava ’00
“A Journey into Many Dimensions”
Marlin Chu ’00
“The Problem of Appolonius”
Elise Cucchi ’00
“What you can’t do with a
Compass”
William Darrin ’00
“The MARS Algorithm—Finding a
Regression in a Mess”
Tom Fleming ’00
“Cubics are our Friends”
Mark Florenz ’00
“Tests of Significance”
Cory Heilmann ’00
“Tracking Computer Error”
Kristen Grippi ’00
“Dangerous Curves Ahead”
Haibo Gu ’00
“A Theory of Epidemics”
Wilmot Harkey ’00
“Jobs for Pat and Wil? Maybe, Maybe
Not. An Introduction to Game Theory”
Patricia Hines ’00
“What Happens to Cats When They Get
Excited?”
Stefan Hwang ’00
“The EM Algorithm: Dealing with
Missing Data”
Jonathan Kallay ’00
“The Unsolvable 15-Puzzle”
SungHwan Kim ’00
“Sylow’s Theorem”
Brendan Kinnell ’00
“Implementation of Hamming Codes, or
How to Win the Office Pool”
Vikram Lamba ’00
“Bargaining”
Douglas Marshall ’00
“Many-Valued Logics”
Campbell Miller ’00
“Continued Fractions”
Suela Nako ’00
“Having Trouble to the nth Degree?
There is Still Hope”
Anthony Ndirango ’00
“On Proceeding Purely Formally, or Why
I am NOT a Mathematician”
Dawn Nelson ’00
“A Cantor Set Turns Golden”
Shara Pilch ’00
“A Geometric Meaning for Prime Ideals”
Ravi Purushotham ’00
“Chaos: Its Not All That Complicated”
Virginia Pyle ’00
“An Exploration in Cumulative Voting”
Joshua Rathmell ’00
“Definitions of Chaos”
Kamille Richards ’00
“How to Raise a Winning Chicken”
Tanisha Salmon ’00
“Lanchester Combat Model”
Adam Schuyler ’00
“All You Need is a Few Turbles and
Some Colorful Snargles”
Kevin See ’00
“Polya’s Theory of Counting”
Boudhayan Sen ’00
“Testing the Distributions of
Progressively Longer Sequences”
Tessa Smith ’00
“The Struggle for Life”
Anita Spielman ’00
“Some Painless Operations on
Polynomials”
Andrew Speck ’00
“The Sum of the Reciprocals of Primes,
the Infinite Product of 1-1/p, and the Number of Primes”
Wayne Stephens ’00
“A Pulse Process Model of Athletic
Financing”
Nathan Tefft ’00
“Do You Really Know What It Means to
Be “Inside” and “Outside”
Reed Townsend ’00
“Factoring Large Integers”
Sarah White ’00
“Bayesian and Classical Statistics,
Opposites Attract”
Junghee Yang ’00
“Tiling Rectangles”
Leila Zelnick ’00
“Money and Marriage: An Optimal
Stopping Romance”
OFF-CAMPUS COLLOQUIA
Colin Adams
“Newest Inductee in Number Hall of
Fame”
Opening banquet presentation, Mathfest Summer Math Meetings,
Providence, RI
“Supercrossing Number for Knots and
Links”
Low Dimensional Topology Session, AMS Meeting, Austin, TX
“Why Knot?”
Canisius College, Buffalo, NY
Westfield State College, Westfield, MA
Portage Northern High School, Portage, MI
Kalamazoo Area Mathematics and Science Center, Kalamazoo, MI
Union College, Schenectady, NY
“The Knot Theory Workshop”
Canisius College, Buffalo, NY
“Mel Slugbate’s Real Estate in
Hyperbolic Space”
Connecticut Valley Undergraduate Mathematics Colloquium, Amherst
College
Cal State-Northridge, Northridge, CA
Quinnipiac College, Hamden, CT
Harvey Mudd College
Ohio MAA Sectional Meeting, Marshall University, Huntington, WV
Michigan MAA Meeting, Central Michigan University, Mt. Pleasant,
MI
Florida Sectional Meeting of the MAA, Tampa, FL
“Vital Sines”
Opening banquet presentation, AMS/MAA/SIAM Math Meetings, Washington,
D.C.
Harvey Mudd College
“Alternating Knots in Surface x I”
Special Session on Knots, AMS/MAA/SIAM Math Meetings, Washington,
D.C.
“Hyperbolic 3-Manifolds for Fun and
Profit: A Photo Album”
Claremont College, Claremont, CA
“Making Calculus Fun: How to Entertain
at Parties”
Ohio MAA Sectional Meeting, Marshall University, Huntington, WV
Edward B. Burger
“Something Old, Something New,
Something Borrowed, Something Blue: Becoming Engaged in Diophantine
Approximation”
Macquarie University, Sydney, Australia
“On a Question of Mordell and a
Spectrum of Linear Forms”
Macquarie University, Sydney, Australia
“‘This is NOT the Title of My
Talk’ A Look at Paradoxes...The Dark Side of Mathematics”
Williams Alumni Association of Worcester
Rivier College
Williams Alumni Association of Cleveland
Williams Alumni Association of Toledo
Williams Alumni Association of Delaware
Williams Alumni Association of Washington, DC
Williams Alumni Association of Northeastern New York
“Playing Dodge Ball: Can It Take Us
Far Beyond What We Would Expect?”
Keynote Address, 10th Annual Sonia Kovalevsky Day, Rivier
College
“Transforming Anxiety into Hatred”
(with M. Starbird)
AMS-MAA-SIAM Meetings, Washington, DC
“The Y2.1K Problem: What Can the
Research and Teaching Community Do to Inspire a Song Other than
Math Suks?”
Keynote Address, AMS-MAA-SIAM Meetings, Washington, DC
Plenary Lecture, 2000 New York State Mathematics Association of Two
Year Colleges Annual Conference, Hofstra University
Keynote Address, The Pennsylvania State System of Higher
Education
Mathematics Conference, Clarion University
“Is There a Fourth Dimension? Can You
See It?”
The United States Coast Guard Academy
“Can We Sum Some of the Series All of
the Time?”
Marist College
“Fun and Games”
University of Hartford
“Rethinking the Standard Model of
Liberal Arts Mathematics”
Invited Workshop, 2000 Intermountain Section Meeting of the
Mathematical Association of America, Southern Utah University
“Innovations in Mathematics”
Keynote Address, 2000 Intermountain Section Meeting of the
Mathematical Association of America, Southern Utah University
“Discovery Learning from Both Sides of
the Classroom”
Discovery Seminar, The University of Texas at Austin
“Making Mathematics a Meaningful Part
of a Liberal Arts Education”
Massachusetts College of Liberal Arts
“Magic with Mathematics: Is the
Equation Faster than the Eye?”
University of Colorado at Boulder
Keynote Address, National Mathcounts Competition, Washington, DC
“What is Infinity?” and “What
is Calculus”
Walt Whitman High School, Bethesda, MD
Richard De Veaux
“Neural Networks for Chemometrics, a
Critical Evaluation”
Fall Technical Conference, American Society for Quality, Houston
“Successful Data Mining”
Short Course, Chicago
“A Guided Tour of Data Mining Tools”
Henry Stewart Conference, San Francisco
Washington, DC
Dresden Lecture II, Swarthmore College
American Statistical Association, Indianapolis
“Data Mining: An Overview”
Freddie Mac, Washington, DC
Long Beach
“Experimental Design”
Short Course, Washington, DC
“Data Mining: Fools Gold or Mother
Lode?”
Dresden Lecture I, Swarthmore College
“Data Mining for Customer Relationship
Management”
Short Course, ICM, Amsterdam, Netherlands
Thomas Garrity
"Factoring Polynomials”
Skidmore College
"Goals of REU Programs"
REU Conference, Washington, DC
“On Algebraic Number and Triangle
Sequences”
Hudson River Undergraduate Research Conference, Siena College
Victor E. Hill IV
“Nearly So and Nearly Not: A Survey of
Many-Valued Logics”
“Mathematical Aspects of the Music of Bach”
Kalamazoo College
Susan Loepp
Panelist, Project NexT Panel on Designing
and Teaching Interdisciplinary Courses
Mathfest, Brown University
“Completions of Local Rings: A Bit of
History and Background”
Commutative Algebra Seminar, Michigan State University
“Detecting and Correcting Errors on a
Compact Disk: Useful Application of Algebra”
Fall Festival, Bethel College
“Badly Behaved Excellent Rings”
Commutative Algebra Seminar, Michigan State University
“Where Algebra and Analysis Collide:
The Complete Polynomial Story”
Colloquium, Swarthmore College
“What they Didn’t Teach You in
High School: The Complete Story”
Colloquium, Agnes Scott College
“Rational Numbers and Polynomials: The
Complete Story”
Colloquium, Hope College
“Excellent Local Rings with Low
Dimensional Generic Formal Fibers”
Centennial Celebration of Commutative Algebra, University of
Nebraska
Frank Morgan
“Very Undergraduate Research”
AMS/NSA Undergraduate Research Conference, Washington, DC
“The Double Bubble Conjecture”
University of Delaware
“Recent Breakthroughs on Soap Bubble
Geometry by Mathematicians and Students”
Williams and Princeton Alumni, Hanover, New Hampshire
“The Soap Bubble Geometry Contest”
Notre Dame
University of Western Michigan
Math Counts, Hartford, Connecticut
Rose-Hulman Institute of Technology
Richmond School, Hanover, New Hampshire
“Recent Breakthroughs on Three
Conjectures”
Notre Dame
“Students and Mathematics in the News
and on TV”
University of Western Michigan
“ContesTV 1”
Water Street Books
“ContesTV 2”
Williamstown Public Library
“Bursting the Double Bubble”
Moravian College Student Conference
“The Double Bubble Conjecture”
Rose-Hulman Institute of Technology
Worcester Polytechnic Institute
“News on the Double Bubble Conjecture,
including Work by Undergraduates”
Worcester Polytechnic Institute
“The First National High School
Calculus Student Award”
Half Hollow Hills High School West, Long Island
“Double Bubbles and Crystals,
Minimizing Surface Area and More General Norms”
AMS meeting, University of Lowell, New Hampshire
“Proof of the Double Bubble Conjecture”
University of Connecticut, Storrs
“Soap Bubbles and Mathematics”
University of Connecticut, Storrs
“La Geometri'a de Pompas de Jabo'n
2000 [Soap Bubble Geometry 2000]”
University of Alicante, Spain
University of Murcia, Spain
University of Valencia, Spain
University of Cartagena, Spain
“Geometric Measure Theory” (four
lectures)
University of Murcia, Spain
Jerome Reiter
“Borrowing Strength Without Explicit
Data Pooling”
Interface 2000 New Orleans, International Society for Bayesian
Analysis Meetings, Crete
Cesar E. Silva
“Power Weakly Mixing Infinite Measure
Transformations”
Retirement Conference in Honor of J. R. Choksi, McGill University,
Montreal
“Examples of Rank One Zd
Actions”
Special Session in Ergodic Theory and Dynamics of Zd and
Rd, AMS Annual Meeting, Washington, DC
“An Infinite Ergodic Index Measure
Preserving Transformation that is not Multiply Recurrent”
Ergodic Theory Seminar, University at Albany
“On Nonsingular Chacon Transformations”
Special Session in Ergodic Theory and Dynamical Systems, AMS Meeting,
Lowell
POSTGRADUATE PLANS OF MATHEMATICS MAJORS
Katherine Acton
|
|
Khaleefah Al-Sabah
|
|
Patrick Andersen
|
Working in investment banking in
technology group for Morgan Stanley Dean Witter, Boston.
|
Lauren Buckley
|
Conducting ecological field research in
Yosemite National Park with the Sierra Nevada Aquatic
Research Lab in Mammouth Lakes, CA in the summer. Then
working at the Ecology Center in Missoula, MT in
conservation biology to wildlands preservation. Then onto
graduate school in biology/mathematical ecology.
|
Audrey Chen
|
Working for artist, Jenny Holzer in New
York.
|
Tegan Cheslack-Postava
|
|
Marlin Chu
|
Working at Merrill Lynch in NYC in the
investment banking division.
|
Elise Cucchi
|
Pursuing a Masters degree in elementary
and special education at Wheelock College Graduate School of
Education, Boston.
|
William Darrin
|
Working at State Street Bank and Trust
in their mutual funds department as a fund accountant in
Boston, MA.
|
Thomas Fleming
|
Pursuing a Ph.D. in Mathematics at the
University of California, San Diego.
|
Mark Florenz
|
Peace corps
|
Kristen Grippi
|
Working in investment banking at
Goldman Sachs in New York City.
|
Haibo Gu
|
Working in Hong Kong
|
Wilmot Harkey
|
Working at Village Venture Services,
Inc. in Williamstown, MA.
|
Cory Heilmann
|
Graduate School in Statistics at Iowa
State
|
Patricia Hines
|
Working for an asset management firm in
Boston for one year to be followed by graduate school in
environmental engineering
|
Stefan Hwang
|
Working at IT Consulting, American
Management Systems in Fairfax, VA.
|
Jonathan Kallay
|
Giving bike tours this summer then
moving to Chicago.
|
SungHwan Kim
|
Pursuing a Masters in Architecture
Design at Harvard University.
|
Vikram Lamba
|
Working for the acquisition finance
group of CIBC (part of the Oppenheimer Group), in New York
City.
|
Douglas Marshall
|
Living in Somerville, MA applying to
graduate schools in philosophy.
|
John Miller
|
Working at CIP Capital in Wayne,
PA.
|
Suela Nako
|
|
Anthony Ndirango
|
Pursuing a Ph.D. in theoretical physics
at the University of Capetown (South Africa)
|
Dawn Nelson
|
Teaching math at the Bromfield School
in Harvard, MA.
|
Shara Pilch
|
Teaching math while receiving a masters
in curriculum instruction and classroom education at
Mississippi Teacher Corps on the Mississippi Delta in Webb,
MS.
|
Ravi Purushotham
|
|
Virginia Pyle
|
Working as a litigation assistant at
Conley and Hodge in Boston, MA.
|
Joshua Rathmell
|
|
Kamille Richards
|
|
Tanisha Salmon
|
Working in management consulting at
A.T. Kearney in Atlanta, GA.
|
Adam Schuyler
|
Pursuing a Ph.D. in Mechanical
Engineering at Johns Hopkins University, Baltimore, MD.
|
Kevin See
|
Teaching mathematics in New
England.
|
Boudhayan Sen
|
Working in financial/statistical
analyses at Mercer Management Consulting in Lexington,
MA.
|
Andrew Speck
|
Attending graduate school in Physics at
Harvard University.
|
Anita Spielman
|
|
Nathan Tefft
|
|
Reed Townsend
|
Working on computer graphics for
Microsoft in Seattle, WA.
|
Sarah White
|
|
Junghee Yang
|
|
Leila Zelnick
|
Working in community tourism
development with the Peace Corps in Bolivia.
|