MATHEMATICS AND STATISTICS DEPARTMENT
The department continues to thrive and grow. This year we were delighted
in late fall to announce Susan Loepp’s promotion to Associate Professor with
tenure, and in the spring Stewart Johnson’s promotion to (Full) Professor.
Both have been very valuable members of the department and we are pleased
that the College has recognized their contributions.
Several members of the department are looking forward to sabbatical
leaves in the next year: Professors Ed Burger, Frank Morgan and Cesar Silva
will be away for the year, while Professor Victor Hill will be away in the
fall. We welcome back Professor Dick De Veaux from his sabbatical year away
and Professors Ollie Beaver and Stewart Johnson from their minisabbaticals.
The department is especially pleased to welcome the newest faculty member,
Professor Satyan Devadoss who will be joining us in the fall. Professor Devadoss
received his Ph.D. from Johns Hopkins University and comes to Williams from
Ohio State University where he held a threeyear position as an Arnold Ross
Assistant Professor. Professor Devadoss’ research interests are in the fields
of Geometric, Algebraic and Combinatorial Topology, especially areas motivated
by Algebraic Geometry and Mathematical Physics.
Department at a dinner inaugurating the H. William Oliver
Lecture series.
We are very proud of the accomplishments of our graduating seniors.
The Rosenberg Prize for outstanding mathematics senior was awarded to John
Bryk ’02 and Eric Katerman ’02; Robert McGehee ‘02 received the Goldberg
Prize for best colloquium. Jonathan Othmer ’02 received the Morgan Prize
for Teaching, while Feng Zhu ’02 won the Witte Problem Solving Prize. Eric
Katerman ‘02 was applauded for the highest colloquium attendance, as was
Jason Potell ’04. Three rising junior majors were honored with the Benedict
Prize: Kai Chen ’04, Sara Iams ’04 and Andrew Marder ’04.
The department is particularly appreciative of the hard work put in
by the members of the student advisory board, SMASAB (Students of Mathematics
and Statistics Advisory Board), each of whom were heavily involved in the
faculty hiring process: Fred Hines ’02, Eric Katerman ’02, Jonathan Othmer’02,
Eileen Bevis ’03, Brian Katz ’03 and Kari Lock ’04. Special thanks go to
the department’s Senior Advisors, Charles Samuels ’02 and Julia Snyder ’02,
who were available to undergraduates for advice on courses and the math/stat
major.
A highlight of Commencement ’02 was hosting the honorary degree recipient,
Robert Moses and Olmsted Prizewinner, Sharyn Stein. Dr. Moses was one of
the most prominent civil rights activists of the 1960’s and 70’s, but is
now renowned for creating the “algebra project.” His efforts to make algebra
accessible to students in less prosperous school districts, especially in
the Delta districts in the South, has been exemplary. Ms. Stein is a 7^{th}
and 8^{th} grade mathematics teacher in the Potomac School, VA and
was nominated for the Olmsted Prize by a former student.
All of the members of the faculty had busy and productive years, highlights
of the year’s activities follow.
In summer 2001, Professor Colin Adams directed four students on research
in hyperbolic 3manfiolds. Two papers resulted. In October, he coorganized
a special session on the Topology of the Universe at the American Mathematical
Society Meetings in Williamstown in October. This included coorganizing
a general talk in Chapin Hall by Sir Roger Penrose, with the help of Marek
Demianski from the Astronomy Department. In November, Adams was elected
to a threeyear term on the Council of the American Mathematical Society.
His online calculus course with the Global Education network appeared in
January. He continued as chair of the Committee on Undergraduate Research
for the Mathematical Association of America. In the spring, he taught a
course on applied topology, coauthoring the textbook for the course as they
went along. He presented a variety of research and expository talks around
the country, and published a variety of research and expository papers.
In addition, he continued as the humor columnist for the expository mathematics
magazine, theMathematical Intelligencer.
Professor Ollie Beaver was on sabbatical in the fall. She spent the
time working on a research project with Professor Tom Garrity on generalizing
the Minkowski question mark function to more than one variable. In January,
she returned from sabbatical and resumed the role of chair of the department.
She again served on the review panel for the National Science Foundation
Graduate Fellowships, this time as chair of the mathematical sciences group.
At Williams, Beaver served on several college committees. She gave a Science
Lunch talk on The Bertrand Anomaly (as part of the TBA series). Beaver attended
the annual Joint Meetings of the American Mathematics Society in San Diego.
She continued her long association with the Summer Science Program for minority
students, again coordinating and teaching in the mathematics component.
Professor Edward Burger spent the summer of 2001 in Cambridge, MA working
as a mathematics consultant for Mass Interaction’s Mathemagica project. This
past academic year, he was the honors thesis advisor for Charles Samuels ’02
who produced a thesis entitled, “On Solutions to the Generalized Pell Equation
with Applications to Diophantine Approximation.” The 2002–2003 academic
year Professor Burger will be on sabbatical at the University of Colorado
at Boulder as the Ulam Visiting Professor of Mathematics.
This year, Burger published “From Play to Power: Bringing Infinity to
Humanities Students” with M. Starbird, in The Mathematicians and Education
Reform Forum; “Diophantine Inequalities and Irrationality Measures for
Certain Transcendental Numbers”, in the Indian Journal of Pure and Applied
Mathematics; “Math Forum—I Couldn't Keep My Distance: A Mathematical
Seduction” as Drew Aderburg, in MAA Math Horizons; and “On a Quantitative
Refinement of the Lagrange Spectrum” with A. Folsom, A. Pekker, R. Roengpitya
‘01, J. Snyder ’02, in Acta Arithmetica.
Professor Burger gave numerous lectures throughout the country including
Polya Lectures at the Mathematical Association of America meetings in Indiana,
Ohio, and Louisiana. He was the 2001 Cecil and Ida Green Honors Professor
at Texas Christian University and delivered the 2001 Kievel Lectures at Humboldt
State University.
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 4manifolds,
and the problem of determining the genera of homology classes of 4manifolds
and representing them by smoothly embedded 2spheres.
At Williams he gave a talk “Fourmanifolds, Connections and YangMills
Theory” at the String Theory and Enumerative Geometry workshop. He developed
and taught a new tutorial course, Creative Problem Solving.
In the summer of 2001, he taught accelerated courses in mathematical
reasoning and game theory at the summer program organized by the Center for
Talented Youth and the Institute for the Academic Advancement of Youth (The
Johns Hopkins University). In the summer of 2002, he is invited by the CTY/IAAY
to teach courses in mathematical reasoning, probability theory, and game theory.
In August 2001, Professor Richard De Veaux ended his term as Program
Chair of the Joint Statistical Meetings in Atlanta Georgia where over 4000
statisticians attended nearly 1000 presentations. De Veaux spent the academic
year visiting the Laboratoire de Probabilité et Statistique at the
Univerisité Paul Sabatier in Toulouse, France. There he continued
his research in data mining, giving many talks and short courses in North
America and throughout Europe. He also worked extensively on his textbook,
Intro Stats with coauthor Paul Velleman from Cornell University.
The book will be published by Addison Wesley in Spring 2003.
Professor Thomas Garrity has continued his research in higher codimensional
CR structures and number theory. His book, All the Mathematics You Missed
[But Need to Know for Graduate School] was published by Cambridge University
Press in December. He has begun a collaboration with Ollie Beaver on linking
function theory to number theory (more specifically, generalizing the Minkowski
question mark function to more than one variable). He wrote a survey on
the basic graduatelevel literature in algebraic and differential geometry,
which will appear in a collection to be published by MarcelDekker. Finally,
he spoke a number of times at Williams and also at ChoateRosemary.
Victor E. Hill IV, Thomas T. Read Professor of Mathematics, published
an article “President Garfield and the Pythagorean Theorem” in Math Horizons.
This paper derives from some of his work on the history of the teaching
of mathematics at Williams. He continues as Archivist, Editorial Board member,
and Recordings Reviewer for the Association of Anglican Musicians.
Professor Stewart Johnson continued his research in dynamical systems,
modeling, and optimal control. He submitted a grant to the National Science
Foundation to develop a detailed model of the human white blood cell population
that would respond accurately to simulated chemotherapy and growth stimulators,
with the goal of investigating improved treatment protocols.
Professor Johnson is also researching optimal periodic switching strategies.
Given two independent actions and a goal, the question is how to switch
between those actions to make optimal progress towards the goal. Professor
Johnson has necessary and sufficient criteria for optimality in the case
of planar systems.
Professor Johnson supervised a Senior Thesis by Jon Othmer on spatial
population dynamics. He constructed continuously evolving population cells
that interact with one another at certain threshold events. Jon characterized
conditions that would lead to the population filling the plane, reaching
stasis, or dying out. Through a series of reductions, Jon extracted the
basic mechanism that leads to cyclic behavior and identified a selfsynchronizing
and spatially attracting cycle for two interacting populations. Jon will
remain on campus over the summer to prepare his results for publication.
Professor Susan Loepp continued her research in Commutative Algebra.
Her paper, “Generic Formal Fibers of Polynomial Rings,” coauthored with
Aaron Weinberg ’99, appeared in the Journal of Pure and Applied Algebra.
Loepp and C. Rotthaus of Michigan State University continued their research
collaboration. Their paper, “Some Results on Tight Closure and Completion,”
appeared in the Journal of Algebra and their paper, “Generic Formal
Fibers of Polynomial Ring Extensions,” was accepted for publication in the
Rocky Mountain Journal of Mathematics. In January, Loepp attended
the annual Joint Mathematics Meetings in San Diego, California where she
enjoyed many of the research talks in the Commutative Algebra special session.
During the summer of 2001, she was the faculty advisor for the Commutative
Algebra group in the Williams College REU summer program known as SMALL.
Those students, John Bryk ’02 (Williams), Sonja Mapes ’02 (Notre Dame), Charles
Samuels ’02 (Williams), and Grace Wang ’02 (Berkeley), have written a paper
based on their results and will soon submit it to a mathematics research
journal.
Loepp gave several invited talks during the year. These included the
kickoff Math Awareness Month colloquium at St. John Fisher College in Rochester,
New York, and two talks at Vassar College. She and William Wootters (Physics)
spoke about their new course, “Protecting Information: Applications of Abstract
Algebra and Quantum Physics” at a Mears Brown Bag Lunch.
Professor Frank Morgan’s joint proof of the Double Bubble Conjecture
appeared in March in the premier Annals of Mathematics. His undergraduate
research Geometry Group 2001, including Paul Holt ’02 and Eric Schoenfeld
’03, proved generalizations to spherical, hyperbolic, and toroidal universes.
They participated as the only undergraduates in Morgan’s series of nine
lectures on “The Proof of the Double Bubble Theorem” sponsored by the Clay
Mathematics Institute at the Mathematical Science Research Institute, Berkeley,
California. They spoke about their results at the MAA MathFest in Madison,
Wisconsin, where Paul won the award for the best MAA student talk. While
in Madison, they appeared with Morgan on Michael Feldman’s “Whad’Ya Know”
PRI radio program and published a humorous account in the MAA FOCUS. The
2002 Geometry Group plans to continue the work. Morgan gave fifteen other
talks about soap bubbles and areaminimizing surfaces around the country
and an invited address at the De Giorgi Conference in Pisa, Italy.
Morgan’s nine publications also included a joint paper with Williams
economist Roger Bolton, “Hexagonal Economic Regions Solve the Location Problem.”
The collaboration stemmed from a question Bolton asked at a Mathematics
faculty seminar by Morgan.
This year Morgan will be on sabbatical. In June, he is organizing an
MAA meeting at Williams, featuring student participation and a banquet talk
by colleague Thomas Garrity. At the MAA MathFest in Burlington this summer,
he is giving the Frame Student Lecture and presiding at the banquet. In
August he is an invited participant in a conference on soap bubbles and foams
at the Newton Institute, Cambridge, England. In the fall he will spend time
at the new Max Planck Institute in Leipzig, Germany and in Budapest. In
the spring he returns to Granada, Spain, and will help organize a session
at a joint mathematics meeting in Seville.
Professor Cesar Silva taught courses in calculus and linear algebra
and a senior level course in ergodic theory in the spring. He used his own
lecture notes for the course and is preparing them for publication.
Silva continued his research in ergodic theory and had two articles published
and several others that were submitted for publication. He also had a group
of five research students working in ergodic theory in the summer; two papers
have been submitted for publication as the result of this work. He was Director
of SMALL, our summer research program.
In the fall, Silva was the local coordinator for the October Meeting
of the American Mathematical Society at Williams College, which had over
250 registered participants. Silva also organized a Special Session in Ergodic
Theory at this meeting.
He also was a reviewer for Mathematical Reviews.
In October, Professor Janine Wittwer and Professor David CruzUribe
from Trinity College organized a research session “Harmonic Analysis since
the Williamstown conference of 1978” at the AMS meeting in Williamstown.
This year, Prof. Wittwer and S. Petermichl’s article “A Sharp Estimate for
the Weighted Hilbert Transform via Bellman Functions” appeared in the
Michigan Mathematics Journal, and Prof. Wittwer’s article “A Sharp Estimate
on the Norm of the Continuous Square Function” appeared in the Proceedings
of the AMS.
Recently, Prof. Wittwer received a grant titled “Bellman Functions and
Wavelets” from the National Science Foundation to generalize the method of
“Bellman Functions.” This area, as well as her research on bounds for square
functions, will be the basis of her SMALL project this summer, in which she
will be conducting research with four undergraduate mathematics majors.
Professor Wittwer also gave a talk at the AMS Conference held in Williamstown
in October titled “Sharp Weighted Bounds for the Harmonic Square Function.”
MATHEMATICS COLLOQUIA
Colin Adams, Williams College
“Immersed Surfaces in 3Manifolds and the Poincare Conjecture”
“Sir Roger Penrose and the Penrose Tilings”
Scott Annin, University of California, Berkeley
“What’s the Probability That Two Elements of a Finite Group Commute?”
Duane Bailey, Williams College
“A Possible Universal SpongeTile”
Olga R. Beaver, Williams College
“Farey Fractions, the Question Mark Function and Beyond”
Steven Buyske, Rutgers University
“Estimating Mixing”
Edward B. Burger, Williams College
“On a Quantitative Refinement of the Lagrange Spectrum”
“Off on a Tangent: Number Theory in Calculus”
Joseph Corneli, New College and MIT, SMALL Geometry Group ‘01
“Bubbles Curve for $200”
David CruzUribe, Trinity College
“The Trapezoidal Rule Is Better Than Simpson’s Rule”
Alexandre Danilenko, Kharkov University & University of Maryland
“On Recent Progress in Entropy Theory of Amendable Actions”
Satyan Devadoss, Ohio State University
“Spaces of Trees”
Thomas Garrity, Williams College
“Compactness and Projections: Rigidness in Algebraic Geometry Due to
Compactness”
“The Million Dollar Math Prizes”
“When Is a Point More Than a Point”
“On Morse Theory and CR Jump Points”
Mark Glickman, Boston University
“Modeling the Effects of Genetic Factors on LateOnset Diseases in Cohort
Studies”
Fernando Gouvea, Colby College
“Happy Birthday, Fermat!”
David Grant, University of Colorado, Boulder
“The Slowest Way to Bake a Pi”
Johanna Hardin, Fred Hutchinson Cancer Research Center
“Fun and Interesting Uses for Statistics (You didn’t know there were
any!): Determining Outlying Data Points”
“Microarray Data from a Statistician’s Point of View: the Problems of Analyzing
Large Quantities of Genetic Data”
Victor E. Hill IV, Williams College
“208 Years of Mathematics at Williams College”
“Zero and the Null Set: A Mathematical Talk on Nothing”
Hugh Howards ’92, Wake Forest University
“Strongly ntrivial Knots”
Daniel Jeske, Bell Laboratories, Lucent Technologies
“Reliability Calculations in Large Communication Networks”
Stewart Johnson, Williams College
“Optimality of Chatter Stasis and Small Switching Cycles in Planar Flows”
Melinda Koelling, Rensselaer Polytechnic Institute
“Bagels, Straws, Trays, and Integrable Differential Equations”
Michael Livshits, Cambridge, MA
“Calculus without Limits”
Susan Loepp, Williams College
“Completions of Excellent Unique Factorization Domains”
“Completions of Reduced Local Rings”
Philip Maini, Centre for Mathematical Biology, Mathematical Institute, Oxford
“Using Mathematics to Help Understand Biological Pattern Formation”
David Morgan, The Bishop’s School
“High School Mathematics: You Must be Kidding!”
Frank Morgan, Williams College
“Minimal Surfaces at a Singularity in the Universe”
“Overlapping Soap Bubbles”
Roger Penrose, Oxford University
“Science and the Mind”
Chris Peterson, Colorado State University
“Borsuk, Thrackles and Large Small Polygons”
Alan Rachleff, MD
“Math after College: When to hold the Ace Kicker”
Dylan Retsek, Washington University
“The Kakeya Problem, or How to Parallel Park a Needle”
Cesar Silva, Williams College
“On Furstenberg’s Multiple Recurrence Theorem”
“An Introduction to Ergodicity and Mixing”
“Unusual Dynamics for Infinite MeasurePreserving Actions”
Alfred van der Poorten, Macquarie University, Australia
“Paperfolding”
Theodore Vessey, St. Olaf College
“The Problem of the Gambler’s Ruin”
Ray Waller, American Statistical Association
“Careers in Statistics: Some Possibilities and Personal Experiences”
Steve Wang, Harvard University
“The Analysis of Skewness and Evolutionary Trends”
Janine Wittwer, Williams College
“What is Harmonic Analysis, Anyway?”
“The Lusin Area Integral”
“Weights, Bellman Functions and Square Functions”
“Wavelets and Fingerprints”
William Wootters, Williams College
“Quantum Math”
MATHEMATICS STUDENT
COLLOQUIA
SMALL Commutative Algebra Group
“Completions of Excellent Local Unique Factorization Domains”
SMALL Ergodic Theory Group
“Project Introduction”
“Double Ergodicity and Multiple Recurrence for Infinite Measure Preserving
Transformations”
SMALL Geometry Group
“Project Introduction”
“Double Bubbles”
SMALL Knot Theory Group
“Geodesics, Surfaces and Other Riff Raff in Hyperbolic 3Manifolds”
William Allen ’02
“Cracking Cyclic Codes  Try and Say That Five Times Fast”
Seth Behrends ’02
“Primes Play a Game of Chance Where Probability Intersects Number Theory”
John Bryk ’02
“Beatty Sequences: Order Amongst the Chaos of Irrational Numbers”
Joyia Chadwick ’05 and John Conway ’SH
“Rediscovering the CobbDouglas Production Function”
“The Strange Behavior of a Beam on an Elastic Bed”
Noah Coburn ’02
“Traffic Models”
Adam Colestock ’02
“The BanachTarski Paradox”
Benjamin Connard ’02
“Making Shoveling Snow As Painless As Possible”
S. Charles Doret ’02
“Lazy Richard Feynman: Action Minimization in Quantum Mechanics”
Richard Dunn ’02
“I Am 100% Certain She Is Kinda Pregnant: Regression Techniques for Limited
Dependent Variables”
Jason Enelow ’02
“Turing Computability and the Incompleteness Theorem”
Yobelin Fernandez ’02
“Euler and Pi’s and Squares. Oh My!”
Christopher Goggin ’02
“College Football Comes to Math Colloquium”
Frederick Hines ’02
“Finding Groups in Cubic Curves”
Paul Holt ’02
“Bottling Better Bubbles”
Eric Katerman ’02
“Betty’s Numbers: Getting the Right Digits”
Joseph Masters ’02
“May the Best Man Lose: The Failures of Our Current Election System”
Robert McGehee ’02
“BlackScholes Formula and the Mathematics of Finance”
Jonathan Othmer ’02
“Searching for Keys in the Dark: An Introduction to Random Walks”
Daniel Rosenblum ’02
“The Secrets of Fair Division: Including King Solomon, Knives, and Cake...mmmmm...
Cake...”
David Ross ’02
“The War on Terrorism: A Game Theoretical Approach”
Jonathan Salter ’02
“Getting It Done: The Ideal Way of Completing”
Charles Samuels ’02
“A Topological Proof of the Fundamental Theorem of Algebra”
Daniel Schwab ’02
“Essential Information for Parents: A Topological Proof That There Are
Infinitely Many Prime Numbers”
Julia Snyder ’02
“Bits and Pieces: An Application of Lebesgue to Haar Functions”
John Spivack ’02
“Lebesgue Measure and Nonmeasurable Sets”
Andrea Stier ’02
“Playing with 2D and 3D Reptiles”
Feng Zhu ’02
“How to Become a Successful Bidder?”
OFFCAMPUS COLLOQUIA
Colin Adams
“Why Knot?”
Williams Club, New York City
Hope College
Gustavus Adolphus College
Kievel Lecturer, Southern Oregon University
“Mel Slugbate’s Real Estate in Hyperbolic Space”
Banquet Speaker, Eastern Pennsylvania and Delaware Sectional Meeting of the
Mathematical Association of America, Lehigh University, Bethlehem, PA
Notre Dame University
Gustavus Adolphus College
St. Louis University
Hope College
Georgia Institute of Technology
Lonseth lecture, Oregon State University
Kievel Lecturer, Southern Oregon University
“Mel Slugbate’s Bus Tours of the Universe and Beyond”
Hope College
“Opportunities for Math Undergraduates”
Panelist, AMS/MAA National Meetings, San Diego, CA
“Immersed Surfaces in Hyperbolic 3Manifolds”
Columbia University
St. Louis University
Edward B. Burger
Mathematics Colloquia
Bentley College
The 2001 Cecil and Ida Green Honors Lectures at Texas Christian University
Distinguished Speakers Series, Connecticut College
University of Hartford
Mount Kimberly Academy
Connecticut Valley Undergraduate Colloquium
Sacred Heart University
Central Michigan University
Saint Olaf College
Kievel Lectures, Humboldt State University
Middlebury College
Boston University
Hayground School
Conferences Lectures
Mathemagica Conference Address
Project NexT Workshop, Invited Special session (with M. Starbird)
MAA Mathfest 2001, Invited MAA Minicourse (with M. Starbird)
Snowbird Educational Technology Meeting
Indiana Section MAA Meeting, Polya Lecture
Ohio Section MAA Meeting, Polya Lecture
Louisiana Section MAA Meeting, Polya Lecture
Strategies in Mathematics Education Workshop
Five College Number Theory Seminar, Amherst College
2002 ORMATYC Conference
MAA PREP Workshop, The University of Texas, Austin
Richard De Veaux
“Data Mining: How and What Do We Teach?”
Joint Statistical Meetings, Atlanta, GA
“Data Mining: What’s New, What’s Not?”
Joint Statistical Meetings, Atlanta, GA
“Data Mining: Where Are We?”
SAS M2001 Conference, Cary, NC
“Data Mining: Fool’s Gold or the Mother Lode?”
University of Amsterdam
University Catholique, Louvain la Neuve, Belgium
TAB Conference, ILOG, Paris, France
“Data Mining: Short Course”
Fall Technical Conference, Toronto, Canada
University de Pau, Pau, France
“Successful Data Mining in Practice: Where Do We Start?”
Data Mining Conference, ILOG, Paris, France
Competitive Edge Conference, Cleveland ASA, Cleveland, OH
“SPSS Data Mining Summit”
Washington, DC
JSM, New York
Susan Loepp
“An Introduction to Cyclic Codes”
“Generator Matrices and Correcting Cyclic Codes”
Vassar College
Frank Morgan
“Geometric Measure Theory and the Proof of the Double Bubble Theorem”
Clay Mathematics Institute Summer School, Mathematical Sciences Research
Institute, Berkeley, CA
“Proof of the Double Bubble Conjecture”
MAA MathFest, University of Wisconsin, Madison
University of Kentucky, Lexington
“AreaMinimizing Surfaces in Cones and Other Singular Ambients”
De Giorgi Conference, Pisa, Italy
“The Soap Bubble Geometry Contest”
Joint Math/Physics Colloquium, University of Pennsylvania
Grand Valley State University, Grand Rapids, MI
Bay Area Math Adventures (for high school students), Santa Clara, CA
University of Kentucky, Lexington
“Area Minimizing Surfaces in Cones”
Topology/Geometry Seminar, University of Pennsylvania
“Fractals and Geometric Measure Theory: Friends or Foes”
Joint Mathematics Meetings, San Diego, CA
“Soap Bubbles, Immiscible Fluids, and Coefficient Groups”
Calvin College, Grant Rapids, MI
“Double Bubbles”
Michigan Undergraduate Mathematics Conference, Calvin College, Grant Rapids,
MI
“Soap Bubbles and Contest”
California State University, Fresno
“Soap Bubble Conjectures and Immiscible Fluids”
MAA Sectional Meeting, Davis, CA
“Soap Bubbles”
MAA Sectional Meeting, McKendree College, Lebanon, IL
“Soap Bubbles 2002 Selbbub Paos”
MAA Sectional Meeting, Eastfield College, Dallas, TX
“2000 Proof of the Double Bubble Theorem”
University of North Texas, Denton, TX
Cesar E. Silva
“Genericity of Rigid and Multiply Recurrent Infinite Measure Preserving
and Nonsingular Transformations”
Summer Conference on Topology and its Applications, New York
“La Transformacion del Panadero y Transformaciones Mezclantes en Teoria
Ergodica”
Catholic University of Peru, Lima, Peru
Ray Waller
“An Overview of the ASA and Careers in Statistics”
Janine Wittwer
“Weighted Bounds on the Continuous Square Function”
University of Massachusetts, Amherst
“Sharp Weighted Estimates on the Square Function”
Summer Research Conferences (Harmonic Analysis), Mt. Holyoke College
POSTGRADUATE PLANS OF MATHEMATICS
MAJORS
William Allen

Teaching high school mathematics at Worcester Academy.

Seth Behrends


John Bryk


Noah Coburn


Adam Colestock


Benjamin Connard


S. Charles Doret

Attending graduate school in Atomic Physics at Harvard University.

Richard Dunn


Jason Enelow

Pursuing a Ph.D. in Mathematics at Purdue University on a teaching
scholarship and summer fellowship.

Yobelin Fernandez


Christopher Goggin

Pursuing a J.D. at Notre Dame Law School in South Bend, Indiana.

Frederick Hines

Teaching high school mathematics at Montclair Kimberley Academy
in New Jersey.

Paul Holt


Eric Katerman

Pursuing a Ph.D. in Mathematics at the University of Texas, Austin
as a Harrington Fellow.

Joseph Masters

Chief Technology Officer for BUILDERadius, Inc. in Asheville,
North Carolina. Also applying to law schools.

Robert McGehee

Associate Consultant for Bain & Co. in Boston, Massachusetts.

Jonathan Othmer

Pursuing a Ph.D. in Applied Math at Caltech.

Daniel Rosenblum

Studying resource economics at the School of Economics and Business
Administration (NHH) in Bergen, Norway on a Fulbright grant. Then attending
graduate school in economics.

David Ross


Jonathan Salter

Pursuing a Ph.D. in Economics at the University of Chicago.

Charles Samuels


Daniel Schwab


Julia Snyder


John Spivack


Andrea Stier

Pursuing a Ph.D. in Social Psychology at Dartmouth College in
Hanover, New Hampshire.

Feng Zhu

Pursuing a Ph.D. in Information technology and Management at Harvard
Business School.
