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MATHEMATICS AND STATISTICS DEPARTMENT

Another successful and eventful year has gone by for the department. The excellence of the faculty continues to be recognized nationally. This year again, two members have received teaching awards: Colin Adams was the recipient of the Robert Foster Cherry Great Teacher Award, given by Baylor University every two years to a professor in the English speaking world without regard to discipline; Ed Burger, while on sabbatical at the University of Colorado at Boulder, received a Residence Life Academic Teaching Award.
We are very pleased to welcome two new mathematics faculty and a visiting statistician. Joining us will be Assistant Professors Allison Pacelli and Kris Tapp, along with Visiting Assistant Professor Mike Racz. Allison Pacelli comes from Brown University where she received her Ph.D. and where she has been a Teaching Fellow. Pacelli’s research area is algebraic number theory. Kris Tapp received his Ph.D. from the University of Pennsylvania and has taught at Haverford College. He was a VIGRE Postdoctoral Fellow at SUNY Stony Brook and comes most recently from a Keck postdoctoral position at Bryn Mawr College. Tapp’s research area is differential geometry. Our visiting statistician is Mike Racz who did his doctoral work in Biometry and Statistics at SUNY Albany. Racz is currently a research scientist at the NYS Department of Health and SUNY Research Foundation and has taught at Marist College. One additional arrival that put great smiles on everyone’s faces was Elias Devadoss, born on May 20, 2003.
Three faculty members will be returning from sabbatical year leaves. Ed Burger spent his year at the University of Colorado in Bolder. Frank Morgan spent time all over the world, including the Newton Institute in Cambridge England, Max Planck Institute in Leipzig Germany, the Renyi Institute in Budapest Hungary, the University of Trento in Italy, and the University of Granada in Spain. Cesar Silva stayed close to home in Williamstown, immersed in research in ergodic theory. We are happy to see them return, as we were when Victor Hill returned from his fall mini sabbatical in Oxford, England.
Going on leave will be Susan Loepp. She plans to continue her research on Commutative Rings, but will spend the majority of the year in Williamstown. Janine Wittwer will also be going for a year and will be at Brown University as a Visiting Scientist in Mathematics.
We bid fond farewell to Misha Chkhenkeli who is leaving the department and Williams College to move to an Associate Professorship at Western New England College. Misha has been at Williams since 1996 and we will miss his cheer, great humor and, not least of all, his teaching enthusiasm always proclaimed with his characteristic booming voice. We wish good fortune to him and to Ia and are glad that WNEC is not too far away.
We are very proud of the accomplishments of our graduating seniors. The Rosenberg Prize for outstanding mathematics senior was awarded to Philippa Charters ’03 and Eric Schoenfeld ’03. Samantha Melcher ’03 and Jonathan Pahl ’03 received the Goldberg Prize for best colloquium. Michael Biaocchi ’03, Jonathan Hatoun ’03 and Edvard Major ’03 shared the Morgan Prize for Teaching and/or Applied Math, while Eric Schoenfeld ’03 won the Witte Problem Solving Prize. Edvard Major ’03 was applauded for the highest colloquium attendance. Two rising junior majors were honored with the Benedict Prize: Stephen Mosely ’05 and Jordan Rodu ’05.
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. The members of SMASAB were Brian Katz ’03 and Edvard Major ’03, Sarah Iams ‘04, David Jensen ’04, Aaron Magid ’04, Andrew Marder ’04, Mike Obeiter ’04 and Jordan Rodu ’05.
Congratulations go to Eric Katerman ‘02 who was on the honorable mention list of the 2003 National Science Foundation’s Graduate Fellowship Awards. Eric is at the University of Texas-Austin working toward his Ph.D. in mathematics.
Without a doubt, all days spent with mathematics are exciting and fun, but one day this year stood out in a special way: Friday, March 14, particularly at 1:59 pm. That was the inaugural Pi Day Celebration: 3.14159, of course! The event, SMASAB’s idea and organized by the department chair, included apple and pumpkin pies for well over a hundred visitors who ate, reveled merrily and stayed for the Great Pi-e Debate. Two giants of the department, Colin Adams and Tom Garrity, met head on and debated masterfully for the superiority of Pi versus the great virtues of e. Each argument brought down the house. SMASAB was in the difficult position of choosing which argument swayed the day and, only by one vote, chose Pi. Of course, the winner had to get a Pi in the face and Colin Adams took his with great dignity.
Professors Colin Adams and Tom Garrity argue the virtues of Pi and e passionately in the great Pi-e Debates, held on 3/14 at 1:59:26. Aaron Magid '03 looks on with awe.
All of the members of the faculty had a busy and productive year. Highlights of the year’s activities are as follows.
In summer 2003, Professor Colin Adams ran a weeklong Mathematical Association of America knot theory workshop to help college teachers learn how to teach a course on knot theory and how to do research with students. He will repeat the workshop in summer 2003. He gave a variety of talks over the year, including an invited lecture at Mathfest in Burlington in August. An earlier article, co-authored with Joey Shapiro when she was a Williams student, was reprinted in Italian in Le Scienze, Feb. 2003. He continues as a member of the Council of the American Mathematics Society, chair of the subcommittee on undergraduate research for the Mathematical Association of America and as humor columnist for the Mathematical Intelligencer. In addition to research papers, he is currently working on a math comic book entitled “Why Knot?” to be published by Key Curriculum Press, and a textbook entitled Applied Topology to be published by Prentice Hall.
In the spring, it was announced that Colin Adams is the recipient of the Robert Foster Cherry Great Teacher Award, given by Baylor University every two years to a professor in the English speaking world without regard to discipline.
Professor Ollie Beaver finished her final year as Chair of the department. She gave a pair of invited addresses at the National Meeting of Math Department Chairs in Washington D.C. She again served as Chair of the National Science Foundation graduate fellowship panel that decides on recipients of NSF graduate fellowships in the Mathematical Sciences. At Williams, Beaver served on several college committees.
In September 2002, Beaver organized the daylong event, MathBlast!, a program of math activities for high school aged students and their teachers. Over a hundred students and teachers attended from the surrounding New England area. The keynote address of the program was Tom Noddy, “The Bubble Guy,” who gave an audience-thrilling show of bubbles within bubbles, forming cubes, tornadoes and caterpillars. Frank Morgan completed the program with some mathematical background of bubbles. Enthusiastic children and townsfolk filled Bronfman Auditorium.
Beaver gave a department faculty seminar on Orthomodularity and Relational Algebras, a recently renewed thread of research in Quantum Logics. With Tom Garrity, she finished the paper “A Two-Dimensional Minkowski ?(x) Function”. She attended the annual 2003 Joint Meetings of the American Mathematics Society in Baltimore. She continued her long association with the Summer Science Program for Williams pre-firstyears who are traditionally underrepresented in science. In this Program, Beaver again coordinated and taught the mathematics component. In the fall, Beaver taught for the first time in Williams’ Quantitative Studies Program. She substantially revised the QS100 offering, introducing students to mathematical reasoning from a non-traditional approach.
Professor Ed Burger spent the 2002–2003 academic year on sabbatical at the University of Colorado at Boulder as the Ulam Visiting Professor of Mathematics, where in the fall he received a Residence Life Academic Teaching Award.
This year, Burger, in collaboration with Michael Starbird, completed the Second Edition of their text, “The Heart of Mathematics: An invitation to effective thinking”. In addition, he co-authored with Robert Tubbs a book entitled “Making Transcendence Transparent: An intuitive approach to classical transcendental number theory” to be published by Springer-Verlag. Both books will appear in 2004.
Professor Burger gave numerous lectures throughout the country including Polya Lectures at the Mathematical Association of America meetings in Southern California, Oklahoma-Arkansas, Missouri, and Virginia. (The complete list of talks is given at the end of this section.) In addition, he was a speaker at the Alumni Development Breakfast during Alumni Week in June 2002 and delivered lectures to the Williams Alumni Associations of both Portland and Seattle.
Professor Mikhail Chkhenkeli continued his research in Four Dimensional Topology and Gauge Theory. 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 gave talks at Western New England College, North Park University, Oxford College of Emory University, Armstrong Atlantic State University, and St. Joseph’s University. At Williams he developed and taught a new course “Counterexamples in Topology.” The course was part of the Critical Reasoning and Analytical Skills initiative. He was one of the organizers of MathBlast! 2002 - a Math event for High school students.
In the summer of 2002, 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 2003, he has been invited by the CTY/IAAY to teach courses in Mathematical Logic, Probability Theory, and Game Theory.
In his first year here at Williams, Professor Satyan Devadoss was filled with joy. He received NSF funding to represent Williams College at the International Congress of Mathematicians in Beijing, China in August 2002. Along with giving various talks at Williams, he was invited to speak at the Joint Mathematics Meeting in Baltimore, Maryland, and at the AMS conference in Baton Rouge, Louisiana.
Devadoss continued his research on configuration spaces and compactifications. He received a three-year NSF grant, along with a course load reduction, on Computational and Algorithmic Representation of Geometric Objects (CARGO) for his work on Geodetic Surfaces. He will offer a course next spring based on this material. His work on the space of cyclohedra appeared in the journal of Discrete and Computational Geometry.
Professor Devadoss also had a great time getting to know the students here. He organized the Green Chicken and Putnam math contests here at Williams, and helped Professor Wittwer with the Hudson River Valley Math Conference at Union College, where he gave a talk. Devadoss also designed a senior seminar course in the fall on Geometric Group theory. Eric Engler ’04 worked with him on relations between braid groups and juggling; Steve Winslow ’04 started to design a program to model particle collisions on 1-manifolds; Brent Yorgey ’04 began to reorganize the Geometric Group theory course into a student manual. Furthermore, new investigations by his first-year class of Discrete Math students (Math 251) enabled him to produce original research on truncations of cubes and simplices.
Professor Richard De Veaux returned from his sabbatical in Toulouse, France where he finished work on his book, Intro Stats, which was published in May 2003. The book is co-authored with Paul Velleman of Cornell University. An AP version of the book, for high school, Stats: Modeling the World, with additional author Dave Bock of Ithaca High School will be published this summer.
De Veaux continued his research and presentations throughout the US and the world on data mining, including keynote speeches at conferences in Paris and Dubrovnik, Croatia. He delivered the Arlin Feyerherm Lecture at Kansas State University in March. His paper with Paul Solomon and several thesis students on the ineffectiveness of Ginkgo Biloba for memory enhancement was published in JAMA in August 2002. He published several other papers that listed in the faculty publications section.
De Veaux continued his service on the Data Mining Forum of GlaxoSmithKline and served on the Committee on Meetings for the American Statistical Association. He retired from his duties as associate editor of Technometrics.
Professor Tom Garrity continued his research in geometry and number theory. With Ollie Beaver, he finished the paper “A Two-Dimensional Minkowski ?(x) Function”. With Sami Assaf, Li-Chung Chen, Tegan Cheslack-Postava, Benjamin Cooper, Alexander Diesl, Mathew Lepinski and Adam Schuyler, he finished the paper “A Dual Approach to Triangle Sequences: A Multidimensional Continued Fraction Algorithm”. He learned a great deal from his three thesis students: Mike Baiocchi, Edvard Major, and Mark Rothlisberger. During the summer of 2002, he gave a two-hour workshop to area high school teachers on number theory. In October, he led a similar workshop to a number of teachers from Berkshire County. In November, he spoke to many Williams staff members on his number theory research at the Williams College Faculty Club. In March, he spoke to a few hundred middle-schoolers in the Connecticut MathCounts state competition. He also spoke a number of times within the department.
Victor E. Hill IV, Thomas T. Read Professor of Mathematics, spent the fall semester on sabbatical leave in Oxford. While there he completely revised his course Mathematical Logic course, continued his research on the group-theoretic aspects of change ringing, and began work on a book derived from his Mathematics of Finance course, under contract to Prentice Hall. On his return, he again offered his English Winter Study, Fantasy Novels of C. S. Lewis and Charles Williams.
Professor Hill continues his work as a professional harpsichordist, also serving the Association of Anglican Musicians as its Archivist, a member of the Editorial Board, and the sole reviewer of recordings for the Journal of the Association.
Professor Stewart Johnson continued his research in dynamical systems, modeling, and optimal control with a focus on optimal periodic switching strategies. Given two independent actions and a measure of performance, the question is how to switch between those actions to optimize performance. Johnson has established generic conditions in two-dimensional systems for the existence of micro cycles, and that performance behaves smoothly even as these cycles tend to zero. These results have been submitted to SIAM Journal on Control and Optimization. Johnson is currently working on extending these results to three or more dimensions.
Johnson has acted as a statistical consultant for research conducted at Neurological Consultants of Bennington by Dr. Keith Edwards, ’69. This research is an ongoing effort to establish the safety and efficacy of Galantamine as treatment for dementia with Lewy bodies.
Professor Johnson remains active in the college-wide Quantitative Formal Reasoning program with the goal of assuring that every Williams student can engage basic quantitative reasoning with clarity and confidence.
Professor Susan Loepp continued her research in commutative algebra. Professor Loepp co-authored a paper published in the Proceedings of the American Mathematical Society and had a paper accepted in the Journal of Algebra. Loepp attended the annual Joint Mathematics Meetings in Baltimore Maryland in January. In May, she gave an invited talk on her current research in the special session on Commutative Algebra at a sectional American Mathematical Society meeting in San Francisco, California.
Loepp advised the research of two senior honors thesis students this year, Brian Katz ’03 and Philippa Charters whose research represented outstanding and original work.
In fall 2002 Loepp team-taught the interdisciplinary course Protecting Information: Applications of Abstract Algebra and Quantum Physics with W. Wootters (Physics). They are currently writing a textbook based on the material from the course.
Professor Frank Morgan, during his sabbatical year, visited Peru, the Newton Institute in Cambridge England, Argentina, the Max Planck Institute in Leipzig Germany, the Renyi Institute in Budapest Hungary, the University of Trento in Italy, and the University of Granada in Spain. He gave mathematical talks on his recent proof of the Double Bubble Conjecture and popular talks on soap bubbles and mathematics, about 35 in all, including seven talks in Spanish in Peru, Argentina, and Spain, and one joint talk in Italian in Italy. While in Peru he did the famous four-day hike on the Inca Trail to the long-lost city of Machu Picchu.
Milestone papers of his undergraduate research Geometry Group were published this year, including the proof of the double bubble conjecture in four-dimensional space (Pacific Journal of Mathematics) and extensions to spherical and hyperbolic spaces (International Journal of Mathematics and Applications of Mathematics). Four other student papers were submitted or accepted for publication. This summer Neil Hoffman ’04 and Stephen Moseley ’05 will join the work.
Morgan himself published two research papers and has ten others in the works. He served on the visiting committee for the Harvey Mudd College Mathematics Department.
Professor Cesar Silva was on sabbatical during the 2002-03 academic year. At the beginning of his leave, he taught in the Summer Science Program and was director of the SMALL summer research program. As part of SMALL, he supervised a group in ergodic theory consisting of Sarah Iams ’04, Brian Katz ’03, Brian Street (Virginia ’03), and Kirsten Wickelgren (Harvard ’03).
In August, Silva completed the final revisions of a paper with A. del Junco that was accepted for publication in the journal Ergodic Theory and Dynamical Systems. In the fall, he completed a paper from SMALL ’01 with Kate Gruher (Chicago ’03), Fred Hines ’02, Deepam Patel (Brandeis ’02), and Robert Waelder (Berkeley ’02); this paper recently appeared in the New York Journal of Mathematics. In January, Kate Gruher, one of the coauthors of this paper, was awarded the Schafer Prize for excellence in mathematics by an undergraduate woman by the Association for Women in Mathematics. In October, Silva gave a talk at the meeting of the American Mathematical Society in Boston, and later completed a paper with John that was submitted for publication in the spring. He also had a paper with O. Ageev accepted for publication in Topology Proceedings.
During Winter Study, Silva sponsored one student in a photography independent study and was second sponsor of another independent study.
In winter, he worked on the last version of a paper with Darren Creutz ’01 that was later accepted for publication in Ergodic Theory and Dynamical Systems. He also gave a talk on this topic at the spring dynamics meeting at the University of Maryland. The final version of the SMALL ’02 paper was completed and submitted for publication in the spring. In June, he gave a talk at the Canadian Mathematical Society Meeting in Edmonton, Alberta. During the late spring and early summer, Silva worked on his book “Invitation to Ergodic Theory” which, in preliminary versions, he has used to teach his senior seminars at Williams.
In the spring, Silva was awarded a grant by the National Research Council’s Collaboration in Basic Science and Engineering program. This grant will support the visit of his colleague A. Danilenko from Ukraine for six weeks in the fall. An article that was the first result of their collaboration had been accepted for publication in the Journal of the London Mathematical Society. Silva was also a reviewer for Mathematical Reviews.
Professor Janine Wittwer attended the joint national meetings of the American Mathematical Society and the Mathematical Association of America in Baltimore, held in January 2003. In March, she traveled to Bloomington, Indiana to participate in the special session “Harmonic Analysis in the 21st century”. She is currently working on expanding a powerful mathematical method (the “Method of Bellman functions”) to work in a more general setting (Wavelets). This work is supported by a grant of the National Science Foundation.
MATHEMATICS COLLOQUIA
Colin Adams, Williams College
“How Many Different Ways Can You Generalize Alternating Knots?”
“Blown Away: What Knot to Do When Sailing”
“Decomposing Space into Little Pieces”
“Meridians of Hyperbolic Knots”
Olga R. Beaver, Williams College
“Orthomodularity and Relational Algebras”
Matthias Beck, SUNY, Binghamton
“The Coin-Exchange Problem of Frobenius”
Nedret Billor, University of Iowa
“Can One Person’s Noise Be Another Person’s Signal?: Outliers”
Greg Buck, St. Anselm College
“Physical Knot Theory”
Satyan Devadoss, Williams College
“Coxeter Groups and Polytopes”
“Blowing Up Cubes: Making Your Mom Proud”
Richard DeVeaux, Williams College
“Data Mining: A View from Down in the Pit”
“Data Mining in the Real World: Where Did All the Data Go?”
Susan Engel, Williams College
“How Much Is a Million? Teaching Math to Elementary and High School Students”
Thomas Garrity, Williams College
“On Extending Functions via Geometry”
“Renormalizing, Compactifying and Tauberian Theorems”
Terje Hoim, Trinity College
“Mathematics in Our Lives: Exchange Economies and Equilibrium Analysis”
Stewart Johnson, Williams College
“Cruising with Elmer: Further Thoughts on Farther Travel”
Gabriel Katz, Bennington College
“Taut Maps M3 → S1 and the 2-Cycles, Realizing the Thurston Norm”
Michelle Lacey, Yale University
“On Convergence Rates of the Neighbor-Joining Method for Phylogeny Reconstruction”
Michael Larsen, University of Chicago
“Use of Latent Class Models in Census and Survey Applications”
Gary Lawlor, Brigham Young University
“Proving Minimization by Multiple Slicing”
Christopher Leary, State University of New York, Geneseo
“On Number”
Susan Loepp, Williams College
“Troublesome Excellent Rings”
“Completions of Excellent Integral Domains”
“Generic Formal Fibers of Polynomial Ring Extensions”
“Local Generic Formal Fibers”
Frank Morgan, Williams College
“Double Bubble Problems”
H. William Oliver, Williams College
“The New AKS Primality Test”
Allison Pacelli, Brown University
“Polynomials, Primes, and Fermat’s Last Theorem”
Enrique Peacock-Lopez, Williams College
“Isolas, Mushrooms and Other Complex Dynamics”
Steven Roberts, Stanford University
“Air Pollution Mortality Displacement”
Cesar Silva, Williams College
“On First Digits of Powers of Gelfand’s Problem”
Linda Smolka, Duke University
“Prediction on the Stall of a Falling Drop of Viscoelastic Fluid”
Kristopher Tapp, Bryn Mawr College
“Finiteness Theorems in Geometry”
Glen Van Brummelen, Bennington College
“Computing without Computers: Serving the Needs of Mathematical Astronomy in Medieval Islam”
Janine Wittwer, Williams College
“Bellman Functions for Wavelets”
MATHEMATICS STUDENT COLLOQUIA
Gabriel Anello ’03
“Two Team Sports Draft”
Jennifer Ashkenazi ’03
“117 Teams; 16 Weeks of Play; 12 Leagues; 27 Bowl Games...1 National Champion. Who Really Is No. 1? The ranking of College Football Teams”
Michael Baoicchi ’03
“An Examination of Outcome Sensitivity to Deception in a Case-Control Study of Second-Hand Smoking or What to Do If Your Mom Lies about Smoking”
Eileen Bevis ’03
“PRIMES Is in P?”
Tracy Borawski ’03
“The 15 Puzzle: How to Stump Your Mom”
Philippa Charters ’03
“When “Nice” Differential Equations Go Bad: The Lewy Example”
Adam Cole ’03
“Backwards Induction Is Not Robust or Why You Can’t Always Trust Your Mom in a Truel”
Garrett DiCarlo ’03
“It’s Fourth and 4 on the 50: What Should Coach Belichick Do?”
Jennifer Doleac ’03
“Analyzing Dichotomous Dependent Variables Using Logistic Regression, or How to Predict Absolutely Anything about Your Mom”
William Edgar ’03
“Throwing Darts with Your Mom, or, Is the Continuum Hypothesis False?”
Robert Gonzalez ’03
“AES: The Best Way to Hide your Internet Movie Collection from Your Mom”
Matthew Grunwald ’03
“RISKing It All”
Jonathan Hatoun ’03
“Modeling the Transmission of the HIV Virus”
Thomas Hodgson ’03
“The Game of “Guess It” or How to Bluff Your Mom Out of 30 Grand”
Rachel Horwitz ’03
“Unstable Democracy”
Cheng Hu ’03
“Transaction Processing: Theory of Correctness”
David Isaacs ’03
“Card Shuffling and Randomness”
Teodora Ivanova ’03
“A Surprising Connection between Hamming Codes and the Hat Problem”
Brian Katz ’03
“HOMFLY and Your Mom: Polynomials and Braids”
Taimur Khilji ’03
“Picard’s Proof”
Daniel Klasik ’03
“The Banach-Tarski Paradox, or How to Turn Your Mom into a Turkey”
Thomas Kramer ’03
“O.J. Simpson Was Innocent...Right?: Does the Glove Fit You?”
Andrew Layng ’03
“Coloring Maps on Surfaces”
Robert Lopez ’03
“Probabilities and Numbers: What Is the Probability That a Random Number Contains a Certain Property”
Edvard Major ’03
“On Voting Coalitions and Power Indices. Should Your Mom Be a Politician?”
John Martino ’03
“Oh Number Pi, or Are the Digits of Pi an Independently and Identically Distributed Sequence?”
Samantha Melcher ’03
“The abc Conjecture: A New Simple Question about Numbers”
Karl Remsen ’03
“Why Chris Garvin’s Mom Had Trouble Tiling Her Kitchen Floor with Unequal Equilateral Triangles”
Jonathan Pahl ’03
“Bagging and Boosting: Toward Additive Logistic Regression”
Mark Rothlisberger ’03
“The Continuous Wavelet Transform: Wavelets and Your Mom, or, rather, Their Mom”
Eric Schoenfeld ’03
“Can You Prove the Existence of Your Mom without Offering a Construction? Algebraic Curves, Invariants, and Hilbert’s Finite Basis”
Melissa Skeffington ’03
“Markov Chains and Margarita Madness”
Karn Tepvorachai ’03
“Surprise and Entropy”
Hiteshwar Walia ’03
“Many Classical Knot Invariants Are Not Vassiliev Invariants”
OFF-CAMPUS COLLOQUIA
Colin Adams
“Cleanliness of Geodesics in Hyperbolic 3-Manifolds”
AMS-UMI Joint Meeting, Pisa, Italy
“Mel Slugbate’s Real Estate in Hyperbolic Space”
Wake Forest University
PREP Knot Theory Workshop
Wake Forest University
“Using Class Time Well”
“Attracting Majors to Mathematics”
Panelist, Project NexT, Burlington, VT
“Generalizing Alternating Knots”
Discrete Mathematical Methods Special Session, Mathfest, Burlington, VT
“Blown Away: What Knot to Do When Sailing”
MAA Student Lecture, Mathfest, Burlington, VT; Hampshire Summer Math Program, Amherst, MA;
Middlebury College; University of Connecticut; Duquesne University;
Southern Connecticut State University; SUNY-Potsdam;
Pi Mu Epsilon Undergraduate Mathematics Conference, St. John’s University; Allegheny College
“Hyperbolic Knots, Links and 3-Manifolds: A Pictorial Introduction”
University of Connecticut
“Why Knot?”
Allegheny College, Meadville Area High School, Meadville, PA
“Mel Slugbate’s Real Estate in Hyperbolic Space”
Allegheny College; Boston College; Brown University;
Hansmann Lecture, Hamilton College; Texas Christian University; University of Arkansas;
Pi Mu Epsilon Undergraduate Mathematics Conference, St. John’s University
“Meridians for Hyperbolic Knots”
University of Texas
Edward B. Burger
Pacific Northwest AMS/MAA Meeting, Invited Address
Project NexT Workshop, Invited Special Session (with M. Starbird)
MAA Mathfest 2002, Invited MAA Minicourse (with M. Starbird)
Kansas State University, Fall Undergraduate Lecture Series
Kansas City Mathematics Technology EXPO, Keynote Address
NCTM Conference, Boston, MA, Keynote Address
Eisenhower Professional Development Workshop
Southern California MAA Meeting, Harvey Mudd College, Polya Lecture
Strategies in Mathematics Education Workshop
6th Annual R.L. Moore Legacy Conference, The University of Texas, Austin, Invited Address
Oklahoma-Arkansas MAA Meeting, Polya Lecture
Missouri Section MAA Meeting, Polya Lecture
Maryland, DC, Virginia MAA Meeting, Polya Lecture
32nd Annual Mathematics Symposium, Frostburg State University, Keynote Address
Kansas State University
Lyman Briggs School Lecture Series, Michigan State University
Lectures and Forums Series, Mesa State College
University of Illinois at Urbana Champaign
The Gordon Lectureship in Mathematics, Denison University
Claremont Colloquium, Scripps College
Athenaeum Lecture, Claremont McKenna College
Spring 2003 Interdisciplinary Mathematics Lecture,
California State University at Fresno
Second Annual Hari Shanker Lecture, University of Northern Iowa
Northern Illinois University
University of Colorado at Boulder
Colorado College
University of California at Northridge
Satyan Devadoss
“Associahedra and Products of Simplices”
Joint Mathematics Meeting, Baltimore, MD
“Polyhedra in Tori and Projective Spaces”
Special Session on Arrangements in Topology and Algebraic Geometry, Baton Rouge, LA
“Particle Collisions and Blowing Up Cubes”
Hudson River Undergraduate Mathematics Conference, Union College
Richard De Veaux
“Data Mining: Where Do We Start?”
ASA JSM Overview Lecture, New York City
ITI Conference, Dubrovnik, Croatia
“Using Data Mining Techniques to Harvest Information in Clinical Trials”
ASA JSM, New York City
“Successful Data Mining in Practice – Where Do We Start?”
Data Mining Summit, Paris; Kansas ASA Chapter, Manhattan, KS; Northern Illinois ASA Summer Workshop
“We Had So Much Data – Where Did It Go?”
Arlin Feyerherm Lecture, Kansas State University
“Ready, Tech, Go – If Technology Has Revolutionized the Teaching of Statistics, Why Are We Teaching the Same Old Course?”
Rhode Island Community College; Triton Community College; Valencia Community College;
AMATYC, Phoenix, AZ; ICTCM, Orlando, FL; CMC3, Anaheim, CA;
ARCOTS, East Tennessee State University; Grand Valley State University; Harrisburg Community College
Susan Loepp
“Characterization of Completions of Excellent Domains of Characteristic Zero”
American Mathematical Society Sectional Conference, San Francisco
Frank Morgan
“La Pompa de Jabón Doble”
Catholic University, Lima, Peru
“Soap Bubbles: Open Problems”
Frame Lecture, MAA MathFest, Burlington, Vermont
“Planar Bubble Clusters”
Newton Institute, Cambridge, England
“Double Bubbles in the Three-Torus”
Newton Institute, Cambridge, England
“Instabilities” (with Ken Brakke)
Newton Institute, Cambridge, England
Teaching Workshop
Columbia University
“The Soap Bubble Geometry Contest”
University of Tennessee, Knoxville; Newton Institute, Cambridge, England
“Proof of the Double Bubble Conjecture”
Furman University, South Carolina; Princeton University Analysis Seminar;
University of Tennessee, Knoxville; Connecticut Valley Colloquium;
conference, St. Norbert College, Wisconsin
“Double Bubbles: Past, Present, and Future”
Connecticut Valley Colloquium
“Soap Bubbles”
Brigham Young University Undergraduate Colloquium; Taylor Symposium, Rutgers University
“Soap Bubble Instabilities”
AMS meeting, Salt Lake City
“Soap Bubble News and Open Questions”
conference, St. Norbert College, Wisconsin
“Soap Bubbles and Mathematics”
Greifswald, Germany; ELTE University, Budapest, Hungary; Exeter Academy;
Vermont Middle Schoolers; RUMBUS undergraduate mathematics conference, Boston University
“The Double Bubble Theorem”
Free University, Berlin, Germany; Max Planck Institute, Leipzig, Germany;
Renyi Institute, Budapest, Hungary; GMT and Calculus of Variations workshop, Sardagna, Italy
“El Teorema de la Pompa Doble”
University of Cordoba, Argentina
“Pompas de Jabón y las Matemáticas”
University of Córdoba, Argentina
“Soap Bubbles and Crystals”
Trento, Italy
“Bolle di Sapone e la Matematica” (with Ítalo Tamanini and Laura Pretti)
Trento, Italy
“Pompas de Jabón y Matemáticas”
Granada, Spain; Málaga, Spain; Jaén, Spain; Almería, Spain
“Double Bubble Problems”
First joint meeting of American and Spanish math societies, Sevilla, Spain
Cesar E. Silva
“On Weak Mixing and Multiple Recurrence for Infinite Measure-Preserving Transformations”
AMS Meeting, Boston, MA
“Mixing on a Class of Rank One Transformations”
Dynamics Conference, University of Maryland
Canadian Mathematical Society Summer Meeting
Janine Wittwer
“Wavelets and Bellman Functions”
Joint AMS/MAA Meetings, Baltimore, MD; Harmonic Analysis Special Session, AMS Meeting, Baltimore, MD
“Bellman Functions and Wavelets”
University of Connecticut
POSTGRADUATE PLANS OF MATHEMATICS MAJORS
Gabriel Anello
Working in Chicago.
Jennifer Ashkenazi

Michael Baiocchi

Eileen Bevis
Working as an English Teaching Assistant in the Austrian Alps, courtesy of the Fulbright Commission, while applying to graduate schools in Sociology.
Tracy Borawski
Working as an Assistant CFO/Analyst/Administrative position at CCGrowth in Boston, MA, while living in South Boston.
Philippa Charters
Pursuing a Ph.D. in mathematics at the University of Texas, Austin.
Adam Cole

Garrett DiCarlo
Working as an Investment Banking Analyst at Lehman Brothers in New York City.
Jennifer Doleac
Research Assistant in the Economics Studies Program at the Brookings Institution, in Washington, DC.
William Edgar

Robert Gonzalez
Deciding what to do while traveling the world.
Matthew Grunwald

Jonathan Hatoun
Teaching high school math at the Kent Denver School in Denver, CO.
Thomas Hodgson
Rachel Horwitz
Fellowship in the Applied Ocean Physics and Engineering Department with the Woods Hole Oceanographic Institute in Woods Hole, MA, will be in San Diego, CA doing research on surf zone wave dynamics.
Cheng Hu

David Isaacs
Investment Banking at Barrington Associates in Los Angeles, CA.
Teodora Ivanova

Brian Katz
Pursuing a Ph.D. in mathematics at the University of Texas, Austin
Taimur Khilji

Daniel Klasik

Thomas Kramer
Teaching second grade at the American School of Guatemala.
Andrew Layng
Analyst in sales and trading at Lehman Brothers in New York, NY
Robert Lopez

Edvard Major
Working in the Equity Sales and Trading Program in the Equity Derivatives Division of JP Morgan Chase in New York City, then pursuing a Ph.D. in economics, or an MBA or Ph.D. in finance or a Ph.D. in statistics.
John Martino
Training this summer at Carroll College in Helena, MT to be a Campus Missionary for the Fellowship of Catholic University Students.
Samantha Melcher

Jonathan Pahl

Karl Remsen
Teaching outdoor education at Colorado Outdoor Education Center in Florissant, CO.
Mark Rothlisberger
Teaching in the Computer Lab at the Williamstown Elementary School, then attending graduate school in math.
Eric Schoenfeld
Applying to math graduate school in the fall.
Melissa Skeffington

Karn Tepvorachai

Hiteshwar Walia