MATHEMATICS AND STATISTICS DEPARTMENT

It has been a year of changes, growth and many good happenings. We were happy to celebrate our first year as the Department of Mathematics and Statistics; the statistics program is developing well with plans to expand its horizons. Last fall we welcomed back from leave Susan Loepp who spent last year at Michigan State. Joining the department was Janine Wittwer from University of Chicago. Ollie Beaver stepped into the position of Chair. Colin Adams, having stepped down from the department Chair, took his sabbatical year in Williamstown but with frequent forays to give talks. Tom Garrity was also on leave for the whole year and spent it at the University of Michigan at Ann Arbor
We had some very laudatory and congratulatory news: Ed Burger was awarded the 2001 Mathematical Association of America Deborah and Franklin Tepper Haimo National Award for Distinguished College or University Teaching of Mathematics. Additionally, Ed Burger and Dick De Veaux were both promoted to Full Professor.
The growth and success of the department continues to give us a great deal of satisfaction, but we know that our present good condition is owed in large measure to the long and faithful efforts of past department faculty members. Three Emeritus faculty members were especially instrumental in making the department what it is today and we decided to express our gratitude and appreciation for their many years of accomplishments in the department by honoring each of them: Robert M. Kozelka, H. William Oliver and Guilford L. Spencer II. Recognizing Bob Kozelka’s outstanding contributions to statistics at Williams, we established the Robert M. Kozelka Prize in Statistics, to be awarded each spring to a student excelling in statistics. Honoring Bill Oliver’s distinguished career at Williams, we instituted the H. William Oliver Visiting Lectureship, to be filled by notable and eminent speakers. And, finally, in gratitude to Guil Spencer’s many years as Chair of the department, as well as his contributions to the planning of the Bronfman Science Center, we renamed the Bronfman Faculty Lounge as the Guilford L. Spencer Mathematics and Statistics Seminar Room.
There are three upcoming leaves: Ollie Beaver will be away for the fall, Dick De Veaux will be away for the entire year and Stewart Johnson will be away for the spring. We are sad to say goodbye to Jerry Reiter, who is leaving Williams for the University of California at Santa Barbara. Jerry has been a great member of the department and we will miss him and his good cheer.

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Eric Katerman (Williams), Danny Gillam (Wesleyan) and Jim Fowler (Harvard) research knot theory as a part of Williams' SMALL program, the largest undergraduate mathematics research program in the nation.

As always, we were extremely proud of the accomplishments of our graduating seniors. Richard Haynes ’01 was awarded a National Science Foundation Fellowship for graduate study in mathematics. He will be pursuing a Ph.D. in mathematics at the University of Chicago. Richard also received the Rosenberg prize, given to the best graduating major in the Math/Stat department. Rung Roengpitya ’01, also going to the University of Chicago, but for Ph.D. studies in Economics, received the Morgan prize for best teaching. Garrett Smith ’01 received the first Kozelka Prize for Statistics. Garrett will be working at Bain & Co., Inc. in Boston, MA. Benjamin Cooper ’01 and Josh White ’01 split the Goldberg prize for the best colloquium. Josh will be a Director of Research at the Institute for Global Engagement near Philadelphia, PA. The Witte prize went to Paul Friedberg ’01, who will be pursuing a Ph.D. in Electrical Engineering at U. C., Berkeley. For their exemplary record in mathematics and, in particular, for their accomplished thesis work, Camille Burnett ’01, Darren Creutz ’01 and Abhaya Menon ’01 all received honors, while Richard Haynes ’01 received Highest honors. Camille will be studying at Tufts University for a Masters degree in teaching. Darren, Abhaya and Richard were also inducted into the national scientific research society, Sigma Xi.
We are very grateful to the members of the student advisory board, Students of Mathematics and Statistics Advisory Board (SMASAB) for their hard work and sage advice throughout the year. This year’s members were Bess Berg ’01, Ben Cooper ’01, Rung Roengpitya ’01, Fred Hines ’02, Eric Katerman ’02, and Rob Gonzales ’03.
All of the members of the faculty had a busy and productive year. Highlights of the year's activities are as follows.
Professor Colin Adams was on leave for the 2000-2001 academic year. He spent the time in Williamstown, writing and researching, with frequent trips to give over 30 talks off campus. In summer of 2000, as part of the SMALL summer program, he advised four students on supercrossing number of knots, the results of which he spoke on in Korea at the end of the summer. He also videotaped an on-line calculus course for the Global Education Network. In the fall, he helped advise the astrophysics thesis of Joey Shapiro ’01 on topological shapes of the universe. They co-authored an article on the work called “The Shape of the Universe: Ten Possibilities” that will appear in American Scientist magazine. He also had two research papers and an expository paper accepted for publication and submitted two other research papers. He continued to write stories for his column “Mathematically Bent” which appears in the Mathematical Intelligencer. His third book How to Ace the Rest of Calculus: the Streetwise Guide, co-authored with Joel Hass and Abigail Thompson, appeared in April 2001. He worked on several other book projects, including a knot theory comic book and a textbook entitled Applied Topology.
He became chair of the Mathematical Association of America Committee on Undergraduate Research and served on the MAA Distinguished Teaching Committee. In addition, he served on a review committee for the Hamilton College Mathematics Department, April 22-24, 2001. He is currently organizing a special session on the Geometry and Topology of the Universe to occur at the American Mathematical Association Meetings in Williamstown in October 2001.
Professor Ollie Beaver served on the review panel for the National Science Graduate Fellowships. At Williams, Beaver served on several college committees and coordinated the second annual high school outreach program MathBlast! 2001. MathBlast! is a day-long program of mathematically oriented contests, games and workshops, designed to excite high school students about mathematics. Students and teachers came from as far as Connecticut to participate in this annual happening. Beaver attended the annual Joint Meetings of the American Mathematics Society in New Orleans. She also supervised a thesis student, Camille Burnett, on the topic of the history, teaching and pedagogy of calculus. She continued her long association with the Summer Science Program for minority students, again coordinating and teaching in the mathematics component.
Professor Edward Burger advised an undergraduate research group in diophantine analysis as part of the department’s NSF-REU summer program in 2000. Their work resulted in the paper, “On a Quantitative Refinement of the Lagrange Spectrum,” co-authored with students A. Folsum, A. Pekker, R. Roengpitya, and J. Snyder. This past academic year, Rungporn Roengpitya went on to work on an honor’s thesis in diophantine approximation and produced a paper entitled, “On an Improvement to a Theorem of Legendre from Diophantine Analysis.”
This year, Burger’s first book, The Heart of Mathematics: An Invitation to Effective Thinking, co-authored with Michael Starbird, was awarded a Robert W. Hamilton Book Prize. His second book, Exploring the Number Jungle: A Journey into Diophantine Analysis was published in August by the American Mathematical Society. He also released two virtual video CD-ROM texts with Thinkwell – Thinkwell’s Intermediate Algebra and Thinkwell’s Calculus II.
Burger also published, “On Periods of Elements from Real Quadratic Number Fields” (with A.J. van der Poorten), in the Canadian Mathematical Society Proceedings Series (27 (2000) 35–43); “Diophantine Olympics and World Champions: Polynomials and Primes Down Under”, in the American Mathematical Monthly (107 (2000) 822–829); “Abandoning Dead Ends: Embracing Lively Beginnings” (with M. Starbird), MAA Focus (9 (2000) 10–11); and “On a question of Mordell and a Spectrum of Linear Forms”, in the Journal of the London Mathematical Society (62 (2000) 701–715).
Burger was awarded the 2001 Mathematical Association of America Deborah and Franklin Tepper Haimo National Award for Distinguished College or University Teaching of Mathematics. He was also named the 2001–2003 George Polya Lecturer by the Mathematical Association of America. He serves as a member of the American Mathematical Society’s Committee on Committees. This year Burger begins a six-year term as Associate Editor of the American Mathematical Monthly.
Professor Burger gave numerous lectures throughout the country including an address at the AMS/MAA Meetings in New Orleans and a keynote address at the NCTM Annual Meeting in Orlando. (See the list of talks at the end of this section.) He was named the 2001 Genevieve W. Gore Distinguished Resident at Westminster College and delivered the 2001 George Kitchen Memorial Lectures at Kalamazoo College and the 2001 Kieval Lectures at Southern Oregon University.
Professor Mikhail Chkhenkeli continued his research in 4-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.
Chkhenkeli advised an honor's thesis student Richard Haynes ’01 on various 4-dimensional topology research projects. In the fall of 2000, he taught a problem-solving senior seminar (Math 455). He was one of the organizers of MathBlast! 2001 - a Math event for high school students.
In the summer of 2000 Chkhenkeli 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 2001, he was invited by the CTY/IAAY to teach courses in mathematical reasoning, probability theory, and game theory.
Professor Richard De Veaux continued his research on data mining and the statistical analysis of large data sets. He gave numerous lectures and short courses on data mining throughout the country including the plenary address at the Midwest Biopharmaceutical Statistics Workshop. De Veaux served as the overall program chair of the Joint Statistical Meetings in Atlanta, with over 1500 presented papers. He continued his service as associate editor for Technometrics and Environmetrics.
Professor De Veaux participated in a National Science Foundation workshop on curricular guidelines for an undergraduate major in Statistics. The recommendations will be published in the Journal of Statistical Education. In the fall of 2000, the American Society for Quality awarded him the Shewell award, given for the best paper and presentation of the year, for a second time. In the spring, De Veaux was promoted to full professor.
Next year, Professor De Veaux will be a visiting professor at the Probability and Statistics Laboratory of the Université Paul Sabatier in Toulouse, France. There he will have the chance to collaborate with other researchers in data mining as well as finish his forthcoming book Intro Stats, co-authored with Paul Velleman of Cornell University.
Professor Thomas Garrity has spent the year at the University of Michigan in Ann Arbor. He continues to work in differential and algebraic geometry and in number theory and has had two papers appear: “Global Structures on CR Manifolds via Nash Blow-ups” in the Michigan Mathematical Journal and “On Periodic Sequences for Algebraic Numbers” in the Journal of Number Theory. He has given a number of talks at Michigan and spoke at Bryn Mawr in June.
Victor E. Hill IV, Thomas T. Read Professor of Mathematics, gave his lecture-recital “Mathematical Aspects of the Music of Bach” for the Fall Family Weekend at Williams. He also gave it for the midwinter meeting of the Association of Anglican Musicians in Cheltenham, Mass., on February 2. He continues on the Board of the Association and also on the Editorial Board of its Journal, serving in addition as reviewer for CD's and tapes.
Professor Stewart Johnson continued work in dynamical systems, modeling, control and optimization. He is focusing on problems of optimal lower bound dynamics using persistent controls—a problem motivated by chemotherapy. The issue concerns multi-compartment systems with critical lower bounds on one or more compartment values. The system is controlled by an agent with persisting effects, and the goal is to maximize a performance criteria without violating the lower bounds. A paper has been submitted to SIAM Journal of Applied Math and a second paper is in preparation. Professor Johnson remains an active member of SIAM and the Society for Mathematical Biology.
Professor Johnson taught his senior course in Dynamic Mathematical Modeling to an enthusiastic group of six students. He introduced a course in Biological Modeling with Differential Equations, and continues to teach Game Theory, Differential Equations, and is developing a new quantitative studies course in response to the college’s new QS requirement.
Professor Johnson served the college by chairing the Information Technology Committee, sitting on the Strategic Planning Committee, and participating in hiring for the CTO and ITech manager positions at Office of Information Technology. Johnson spearheaded the effort to reduce the Quantitative Studies exam and take it online. He continues to write software for his courses and is working on a randomized list generator to privately distribute student questionnaires.
Professor Susan Loepp continued her research in Commutative Algebra. Her paper “Generic Formal Fibers of Polynomial Rings” co-authored with Aaron Weinberg ’99 was accepted for publication in the Journal of Pure and Applied Algebra. Also, her paper “On the Completeness of Factor Rings” co-authored with C. Rotthaus was accepted for publication in the Proceedings of the American Mathematical Society. This year, Loepp and Rotthaus submitted two additional research papers to journals for consideration for publication. In November, Loepp attended an American Mathematical Society research conference in New York City.
In the spring of 2001, Loepp taught a new course with William Wootters (Physics) that was supported in part by a Division of Undergraduate Education grant from the National Science Foundation. The course, Protecting Information: Application of Abstract Algebra and Quantum Mechanics, features classical cryptography (protecting information against eavesdropping) and error correction (protecting information against noise) as well as recent research in quantum cryptography and quantum computation. Much of the course material can be found on the webpage http://www.williams.edu/williams-only/crypto/. In January, Loepp attended the annual Joint Mathematics Meetings in New Orleans where she presented a poster on the Protecting Information course that she and Professor Wootters developed.
Professor Frank Morgan’s undergraduate research Geometry Group 2000 proved extensions of The Double Bubble Theorem to spherical and hyperbolic universes. The 2001 Geometry Group, including Paul Holt ’02 and Eric Schoenfeld ’03, plans to study toroidal and other universes. This summer they will attend Morgan’s graduate course at the Mathematical Sciences Research Institute in Berkeley and speak at the Mathematical Association of American MathFest in Madison.
Morgan continues his work on optimal geometries and structures, with some ten new publications, including new versions of his Riemannian Geometry and Calculus Lite texts, and ten more publications in the pipeline. He has given some thirty-five talks, including the address to the US International Mathematics Olympiad team at the National Academy of Sciences and the US State Department. Twenty of his students spoke at the Hudson River undergraduate mathematics conference in April 2001.
Morgan serves as second vice-president of the Mathematical Association of America and chair of the Nominating Committee of the American Mathematical Society.
Professor Jerome Reiter published “Borrowing Strength Without Explicit Data Pooling” in the Journal of Official Statistics. He also presented research about using synthetic data sets to satisfy disclosure restrictions at the Joint Statistical Meetings and at the U.S. Bureau of the Census. He gave the Sigma XI research lectures on “What is Bayesian Statistics?” and “Preserving Confidentiality Without Compromising Access to Data: A Radical New Approach.”
Professor Cesar Silva taught calculus and linear algebra this year and a Winter Study in photography. Silva continued his research in ergodic theory and published one paper and had two other papers accepted for publication, one of them the result of summer research he supervised.
Silva supervised two theses students, Darren Creutz, who wrote on mixing for rank one finite measure preserving transformations, and Abhaya Menon who wrote on power weakly mixing and multiple recurrence for infinite measure preserving transformations.
He also was a reviewer for Mathematical Reviews and a referee for several journals.
Professor Janine Wittwer wrote “A Sharp Estimate on the Norm of the Continuous Square Function” which was accepted for publication in the Proceedings of the AMS, “The Final Word on Weighted Square Function Bounds”, which she submitted to the Mathematical Research Letters and “A Sharp Estimate for the Weighted Hilbert Transform via Bellman Functions” (with S. Petermichl), submitted to Michigan Math Journal.
Prof. Wittwer is currently working on expanding the “Bellman Function Method”, a powerful method of estimating the size of certain sums, to sums involving wavelets. Together with David Cruz-Uribe from Trinity College, she is organizing a research session “Harmonic Analysis since the Williamstown Conference of 1978” to take place during the AMS meeting at Williams this fall. This summer she will attend, and speak at the Harmonic Analysis summer research conference at Mt Holyoke College. She will attend Project NExT (New Experiences in Teaching) workshops at the Mathfest in Madison, WI.
MATHEMATICS AND STATISTICS COLLOQUIA
Colin Adams, Williams College
“Superinvariants for Knots”
Oleg Ageev, Moscow State Technical University
“Topological Aspects of Ergodic Theory”
Roger Bolton, Williams College
“Utility Functions and Expenditure Functions, with Two Applications”
Kim Bruce, Williams College
“Types, Computation, and Intuitionistic Logic”
Edward B. Burger, Williams College
“How to Give a Math Colloquium”
“On a Question of Mordell and a Spectrum of Linear Forms”
Mikhail Chkhenkeli & Frank Morgan, Williams College
“Problem-Solving Party”
Richard De Veaux, Williams College
“Data Mining: Just Statistics, or Much More?”
“Data Mining: What's Best and What's Next”
“Data Mining: Fool’s Gold or the Mother Lode?”
William Dudley, Williams College
“Can Math Save the World? (Or is it Just Fun?)”
William Dunbar, Simon’s Rock College of Bard
“Spiral Staircases in the Three-Sphere”
Alan Durfee, Mount Holyoke College
“Polynomials with Strange Properties”
Susan Engel, Williams College
“Teaching Math: What’s the Problem?”
Nathaniel Friedman, SUNY-Albany
“Hyperseeing, Knots and Minimal Surfaces”
Thomas Garrity, Williams College
“On Higher Codimensional Geometry”
Mark Glickman, Boston University
“How Good Am I: Rating Competitors in Games and Sports”
Chaim Goodman-Strauss, University of Arkansas
“Aperiodicity in the Hyperbolic Plane”
Jonathan Hall, Michigan State University
“The Quaternions: Generalizations and Applications”
Jennifer Hill, Ph.D., School of Social Work, Columbia University
“Determining Causality when People Don't Do What They're Told: the New York City School Choice Experiment”
Victor E. Hill IV, Williams College
“Rigor and Non-Rigor in the Work of Regiomontanus”
“Mathematical Aspects of the Music of Bach”
“James Abram Garfield, the Pythagorean Theorem, and Williams College”
Martin Hildebrand ’86, SUNY – Albany
“Proof of a Combinatorial Conjecture of Simion”
Robert M. Kozelka, Professor of Mathematics and Statistics, Emeritus, Williams College
“Types, Tokens, and Le Bourgeois Gentilhomme”
Susan Loepp, Williams College
“Colloquium: What is it?”
“Completions of Factor Rings”
“Tight Closure and Completion”
“Complete Local Rings”
Blair Madore, SUNY-Potsdam
“Root Problems in Ergodic Theory”
Frank Morgan, Williams College
“Double Bubble Proofs”
“Soap Bubbles and Mathematics”
“What is Mathematics Research?”
“What’s so Good about Stokes’s Theorem? (It is more general and simpler than the Divergence Theorem of Math 105, also known as Gauss’s Theorem in Physics)”
“What is a Singular Manifold?”
“Double Bubbles”
Jerome Reiter, Williams College
“Causality and Statistics”
“Estimating Variances Of Treatment Effects in Observational Studies that Use Propensity Score Matching”
Cesar Silva, Williams College
“Chaos and Mixing in Kneading Dough”
“The Double Ergodicity Property for Infinite Measure Preserving Transformations”
“Constructive Solid Geometry and Boundary Representations of Objects”
“Chaos in Kneading Dough: An Example of a Mixing Transformation”
“Mixing in Ergodic Theory”
John Sullivan, University of Illinois
“The Second Hull of a Knotted Curve”
Glen Van Brummelen, Bennington College
“The Birth of an Independent Trigonometry: Revolution and Conflict in Tenth-Century Islamic Spherical Astronomy”
Jeffrey Weeks, Class of 60’s Scholar
“The Shape of Space”
Janine Wittwer, University of Chicago
“Magicians, Rabbits and Hats -- or How Bellman Functions Work”
“Wavelet Methods in Harmonic Analysis”
MATHEMATICS AND STATISTICS STUDENT COLLOQUIA
SMALL Diophantine Group
“Final Summary”
SMALL Ergodic Theory Group
“Final Summary”
SMALL Geometry Group
“Final Summary”
SMALL Knot Theory Group
“Final Summary”
SMALL Triangle Sequence Group
“Final Summary”
Elizabeth Berg ’01
“Mathematical Genes: Getting Better All the Time”
Camille Burnett ’01
“Factor Analysis - What Is It and Does It Tell Us Anything?”
Benjamin Cooper ’01
“A Brief Introduction to Information Theory”
Darren Creutz ’01
“Sarkovskii’s Theorem and Period Three Implies Chaos”
Kenneth Dennison ’01
“The Magic (Squares) of Elliptic Curves”
Marlene Duffy ’01
“Does Monty Hold the Key to Determining Leap Years?”
Patrick Foyle ’01
“Fair Divisions”
Paul Friedberg ’01
“Ramsey Theory and Applications”
Richard Haynes ’01
“Elliptic Curves: The Right Way”
Ethan Katz-Bassett ’01
“The More Things Change, The More (At Least) One Stays the Same: Brouwer's Fixed Point Theorem”
Timothy Karpoff ’01
“Paying for Polling Data”
Christopher Koegel ’01
“Primary Decomposition: Finding the Building Blocks of Ideals”
Anjali Lunia ’01
“Teaching Mathematics with Playing Cards”
Daniel Matro ’01
“Using the Capture-Recapture Method to Estimate Populations”
Aaron Marsh ’01
“Going, Going, Gone...A Mathematical Look at Auctions”
Abhaya Menon ’01
“Finally a use for Polynomial Rings!”
John Morrison ’01
“The Tychonoff Product Theorem Implies the Axiom of Choice”
William Ouimet ’01
“Modeling Sediment Transport in Rivers and Streams - Introducing the Bedload Prediction Problem”
Sara Richland ’01
“Romeo and Juliet's Wedding: Helping the Families Get to Know Each Other Through Group Theory”
Rungporn Roengpitya ’01
“Sending Information from Mars Back to Earth: How Can We Correct the Errors?”
Sarah Rutledge ’01
“A Valentine's Day Colloquium: Finding Mr. Right”
Daniel Seaton ’01
“Winning Elections without Resorting to the Supreme Court”
Garrett Smith ’01
“Causal Inference through Propensity Scores”
Joshua White ’01
“Counting on Primes in Progression: One Slick Number Theory Proof”
Celina Zlotoff ’01
“The Imperfect World of Measures”
OFF-CAMPUS COLLOQUIA
Colin Adams
“The Art of Knots”
Art and Mathematics Conference, SUNY-Albany
“How to make Calculus Fun”
Control Theory Conference, Chicago, IL
“Supercrossing Number for Knots and Links”
Knot Theory Conference, Yong Pyong, Korea
“Mel Slugbate’s Real Estate in Hyperbolic Space”
Cornell University
Bryn Mawr College
College of New Jersey
Tulane University
TIME 2000 Program, Queens College
Keynote Address, Michigan Undergraduate Mathematics Conference, Grand Valley State University
State University of New York, Buffalo
Ursinus College Sigma Xi Lecture
Indiana Sectional Meeting of the MAA, University of Indianapolis
Kansas State University
Marden Lecture, University of Wisconsin, Milwaukee
University of Wisconsin, Eau Claire
University of Wisconsin, Stevens Point
Lawrence University
University of Wisconsin, Oshkosh
Pacific Northwest Sectional Meeting of the MAA, Seattle Pacific University
New York State Mathematics Association of Two Year College Conference, Lake Placid, NY
Northfield Mount Hermon School, Northfield, MA
“Why Knot?”
Bryn Mawr College
Knots in Science Short Course, AMS/MAA Meeting, New Orleans, LA
Mt. Greylock Regional High School
University of Washington, Seattle
“Hyperbolic 3-Manifolds for Fun and Profit: A Photo Album”
Tulane University
“Cusps in Hyperbolic 3-Manifolds”
State University of New York, Buffalo
“Making Calculus Fun: How to Entertain at Parties”
Indiana Sectional Meeting of the MAA, University of Indianapolis
Pacific Northwest Sectional Meeting of the MAA, Seattle Pacific University
“Teaching at Liberal Arts Colleges”
University of Washington, Seattle
“Shapes for the Universe”
Hudson River Undergraduate Mathematics Conference
“Bus Tours of the Universe and Beyond”
MathBlast! Williams College
Edward B. Burger
Cancun Workshop in Educational Technology, Keynote Address
Project NExT Workshop, Invited Special Session (with M. Starbird)
Project NExT Workshop, Invited Panelist on Liberal Arts
MAA Mathfest 2000, Invited MAA Minicourse (with M. Starbird)
Northeastern Section MAA Meeting, Christie Lecture
AMS-MAA Joint Meetings, Invited Address
Kansas Section MAA Meeting, Keynote Addresses
Annual NCTM Meeting, Keynote Address
Michigan Section MAA Meeting, Keynote Address
Colgate University
Faculty Lectureship, Kenyon College
Virginia Polytechnic Institute and State University
Southern Connecticut State University
Genevieve W. Gore Distinguished Resident Lectures
Westminster College
The University of Texas at Austin
Groton School
Worcester Polytechnic Institute
SUNY Jefferson Community College
George Kitchen Memorial Lectureship, Kalamazoo College
The 2001 Kieval Lectures, Southern Oregon University
Faculty Workshop, Bentley College
Richard De Veaux
“What’s New in Data Mining?”
Joint Statistical Meetings, Indianapolis, IN
“Data Mining: What’s New, What’s Not?”
Berkshire County Section, American Society for Quality, Pittsfield, MA
Midwest Biopharmaceutical Statistics Workshop, Muncie, IN
Conference on Quality and Productivity, Austin, TX
“Data Mining: An Overview, Some Challenges and an Evaluation”
Harvard School of Public Health, Cambridge, MA
Pennsylvania State University, State College, PA
University of Texas, Austin
Susan Loepp
“Twenty Five Years of Public-Key Cryptography”
Hudson River Undergraduate Mathematics Conference, Skidmore College
Frank Morgan
“Hales's Proof of the Hexagonal Honeycomb Conjecture”
Eurofoam Conference, Delft, Netherlands
“The Double Bubble Conjecture, Illustrated”
Art and Mathematics Conference, SUNY Albany
“The Soap Bubble Geometry Contest”
College of William and Mary
“Soap Bubbles and the Universe”
The Choate School
SUNY Potsdam
MathCounts, Coast Guard Academy
Canterbury High School
“The Double Bubble Theorem”
“Soap Bubbles and Mathematics”
Lake Forest College
“Double Soap Bubbles”
The Mathematical Association of America, American University
“Area-Minimizing Surfaces through Conical Singularities”
Joint Mathematics Meetings, New Orleans
“The Double Bubble Theorem”
Brown University
Sarasota College
“Bubble News and Contest”
The Mathematical Association of America, Florida Gulf Coast University
“Area-Minimizing Surfaces in Cones and Double Bubbles”
American Mathematical Society, University of South Florida
“Getting Students Doing Mathematics”
“The Double Soap Bubble Conjecture”
University of Michigan
“Proof of the Double Bubble Conjecture”
The Mathematical Association of America, University of Mississippi
Richard Stockton College, New Jersey
“Double Bubble Conjecture and Contest”
The Mathematical Association of America, Huntington College, Montgomery, Alabama
“Double Bubbles: Proof and Prizes”
The Mathematical Association of America, Rowan University, Glassboro, New Jersey
“Shortest Paths on the Cylinder I”
“Exotic Soap Bubbles and Mathematics”
“Soap Bubble Newsreel and Contest”
Elizabethtown College, Pennsylvania
“Shortest Paths on the Cylinder II”
“The Soap Bubble Geometry Contest”
“Disorientations in the Universe”
Millersville State Teachers' College
“The Soap Bubble Math News and Contest”
Mt. Greylock Regional High School
“The Double Soap Bubble Theorem”
US International Math. Olympiad Team, National Academy of Sciences and US State Department
Cesar E. Silva
“Centralizers and Factors of Products of Nonsingular Chacon Transformations”
Special Session in Ergodic Theory, AMS Meeting, Toronto, Canada
“On Mixing Notions and Rank One Examples for Infinite Measure Preserving Transformations”
Dynamics and Randomness Workshop, Santiago, Chile
Janine Wittwer
“The Norm of the Continuous Square Function”
AMS Math meetings, New Orleans
“Wavelets and the FBI”
Middlebury College
“Bellman Functions”
Trinity College
“Wavelets in Harmonic Analysis”
SUNY, Albany
“Weighted Bounds on the Continuous Square Function”
University of Massachusetts, Amherst
POSTGRADUATE PLANS OF MATHEMATICS AND STATISTICS MAJORS
Elizabeth Berg

Camille Burnett
Pursuing a Masters in teaching at Tufts University.
Benjamin Cooper

Darren Creutz

Kenneth Dennison
Pursuing a Ph.D. in Physics at Cornell University.
Marlene Duffy
Summer intern at S. S. Papadopulos & Associates, Inc. in San Francisco.
Patrick Foyle

Paul Friedberg
Pursuing a Ph.D. in Electrical Engineering at University of California, Berkeley.
Richard Haynes
Pursuing a Ph.D. in Mathematics at the University of Chicago.
Timothy Karpoff

Ethan Katz-Bassett
Working as a ski instructor.
Christopher Koegel
Associate Consultant at Bain & Co., in Boston, MA.
Anjali Lunia

Aaron Marsh
Analyst at Mercer Management Consulting in Washington, DC.
Daniel Matro
Working at L.E.K. Consulting in Boston, MA.
Abhaya Menon

John Morrison
Pursuing a Ph.D. in Philosophy at the University of Pittsburgh and a Master’s in Logic and Computability at Carnegie Mellon University.
William Ouimet

Sara Richland

Rungporn Roengpitya
Pursuing a Ph.D. in Economics at the University of Chicago.
Sarah Rutledge
Pursuing a Master’s in Management Science and Engineering at Stanford University after attending a Summer Archaeology Program by the American Academy in Rome.
Daniel Seaton
Deferring astronomy graduate school for one year to take a fellowship at the Smithsonian Center for Astrophysics at Harvard University.
Garrett Smith
Working at Bain & Co., Inc. in Boston, MA.
Joshua White
Director of Research at the Institute for Global Engagement near Philadelphia, PA.
Celina Zlotoff