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 mini-sabbaticals.

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 three-year 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 3-manfiolds. Two papers resulted. In October, he co-organized a special session on the Topology of the Universe at the American Mathematical Society Meetings in Williamstown in October. This included co-organizing 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 three-year term on the Council of the American Mathematical Society. His on-line 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, co-authoring 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 4-manifolds, and the problem of determining the genera of homology classes of 4-manifolds and representing them by smoothly embedded 2-spheres.

At Williams he gave a talk “Four-manifolds, Connections and Yang-Mills 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 co-author 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 graduate-level literature in algebraic and differential geometry, which will appear in a collection to be published by Marcel-Dekker. Finally, he spoke a number of times at Williams and also at Choate-Rosemary.

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 self-synchronizing 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,” co-authored 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 kick-off 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 area-minimizing 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 Cruz-Uribe 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.”

Colin Adams, Williams College

“Immersed Surfaces in 3-Manifolds 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 Sponge-Tile”
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 Cruz-Uribe, 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 Late-Onset 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 n-trivial 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 Measure-Preserving 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”

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 3-Manifolds”
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 Cobb-Douglas Production Function”
“The Strange Behavior of a Beam on an Elastic Bed”
Noah Coburn ’02

“Traffic Models”
Adam Colestock ’02

“The Banach-Tarski 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

“Black-Scholes 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 Non-measurable Sets”
Andrea Stier ’02

“Playing with 2-D and 3-D Rep-tiles”
Feng Zhu ’02

“How to Become a Successful Bidder?”

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 3-Manifolds”
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

“Area-Minimizing 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

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.