The Mathematics and Statistics department had another great year. Professor Edward Burger was appointed Lissack Professor of Social Responsibility and Personal Ethics.
We were joined by Assistant Professor Elizabeth Beazley, who came to us after a post-doctoral position at the University of Michigan. Two members of our department were on leave this past year. Edward Burger spent the fall at Baylor University as Robert Foster Professor for Great Teaching, and the spring at the University of Texas, and next year he will also be on leave at Baylor University. Frank Morgan spent the fall at the University of Toronto and in the spring he undertook an extensive speaking tour of Asia. We look forward to the return of Frank Morgan in fall 2011 and Ed Burger in fall 2012. Next year Professors Bernhard Klingenberg and Susan Loepp will be on leave for the year, and Professors Carsten Botts, Ollie Beaver and Allison Pacelli will be on leave in the fall.
Andrey Glubokov will join us as Visiting Assistant Professor of Statistics. Also, Lori Pedersen will join us again as a visiting lecturer.
In December, we learned the happy news that Professor Mihai Stoiciu was promoted to Associate Professor with tenure.
We are very proud of the accomplishments of our majors. The Rosenburg Prize for outstanding senior was awarded to Jake Levinson’11. Yuzhong “Jeff” Meng’11 and Thelonious “T. Sam” Jensen’11 received the Goldberg Prize for the best colloquia. Patricia Klein’11 was awarded the Morgan Prize for teaching in its broadest sense. Ville Satopaa’11 received the Robert M. Kozelka Award for outstanding students of statistics. Nicholas Arnosti’11 received the Witte Problem Solving Prize. James Wilcox’13, first, and Carlos Dominguez’13, second, were awarded the Benedict Prize for outstanding sophomore. Patrick Aquino’12 was awarded the Wyskiel Prize for a student who chooses a career in teaching. Finally, Nicholas Arnosti’11 and Jake Levinson’11 were awarded the colloquium attendance prize.
The members of our student advisory board, SMASAB (Students of Mathematics and Statistics Advisory Board), were JiWon Ahn’12, Carlos Dominguez’13, Hannah Hausman’12, Patricia Klein’11, Christina Knapp’13, Jake Levinson’11, Sean Pegado’11. They provided sage advice, in addition to organizing the department’s ice cream socials. This year one of our majors, Robert Silversmith’11 was awarded a National Science Foundation graduate fellowships in mathematics.
Last summer, Colin Adams served as director of the SMALL program, and advised five students in a group investigating lattice stick numbers for knots. The paper they wrote has been accepted for publication in the Journal of Knot Theory and its Ramifications. A paper from the previous summer was also submitted and will appear in the same journal.
Over the academic year, Adams served as the advisor for Jacob Wagner’11, who wrote a thesis on superbridge index and geometric degree of two-bridge knots. After a few more results are completed, they will publish the work.
Adams submitted several other papers for publication and gave a variety of talks over the year. He served as a co-principal investigator on a grant that funds undergraduate math conferences around the United States. In the spring, he taught graph theory to a mix of math and computer science students.
In summer 2010, Professor Ollie Beaver taught in and coordinated the mathematics component of the Summer Science Program. During the academic year, Beaver continued her involvement in the Quantitative Studies program at Williams. She was again chair of the Winter Study Committee. In January Beaver attended the Joint Mathematics Meetings and in February she was an invited panelist on the National Science Foundation Panel for Graduate Fellowships in Mathematical Sciences.
Professor Elizabeth Beazley completed her first year at Williams this year, and has been blown away by the level of scientific activity in the department. Her research interests have typically been in algebraic geometry, but grew this year to include related subfields of algebraic combinatorics, coming off the heels of an RTG Hildebrandt postdoc in the combinatorics group at the University of Michigan. She had one paper accepted this year to the Journal of Algebra on her work with affine Deligne-Lusztig varieties, and she gave many invited research talks around the eastern part of the continent, including at the workshop on “Affine Schubert Calculus” at the Fields Institute in Toronto. She also attended a workshop at the Banff International Research Station in Alberta, Canada, where she initiated a research collaboration in the area of quantum Schubert calculus.
A group of Math seniors at the start of the fall semester colloquium
Professor Edward Burger was awarded the endowed chair of Lissack Professor of Social Responsibility and Personal Ethics by Williams in July 2010. For the 2010–2011 academic year he was the Robert Foster Cherry Professor for Great Teaching at Baylor University. The Korean edition of his book Coincidences, Chaos and All That Math Jazz was awarded an Excellence Certification by The National Research Foundation of Korea. In October, the Huffington Post named Burger a 2010 Game Changer (“HuffPost’s Game Changers salutes 100 innovators, visionaries, and leaders who are reshaping their fields and changing the world.”). In fall 2011, Burger will return to Baylor University as Vice Provost for Strategic Educational Initiatives, a position that was created for him.
Professor Burger’s G-Option Initiative was highlighted in the September 2010 issue of the Williams Alumni Review in a story entitled, The Gaudino Option: Enabling students to enroll in courses they really want to take—but that seem risky. Burger was the subject of several other articles including a profile in The Chronicle of Higher Education (October 4, 2010) entitled, Teaching Math as Narrative Drama; a feature in Baylor Arts and Science Magazine (Fall 2010) entitled, Disciple of Creativity; and a story in the Winter 2010–2011 issue of Baylor Magazine entitled, Making math magical.
In the summer of 2010, Burger was a faculty member of Williams’ Summer Humanities and Social Sciences Program, as well as a SMALL NSF-REU faculty advisor for a group of four undergraduates including Gea Shin’11 and Nancy Wang’11. They are currently completely several manuscripts based on their work. In 2010 he published Arithmetic from an advanced perspective: An introduction to the adeles in Pro Mathematica 24 (2010) pp 9–54. Also in 2010, the Italian, Japanese, and Portuguese translations of his book, Coincidences, Chaos, and All That Math Jazz: Making light of weighty ideas (co-authored with Michael Starbird), were published. In addition, he is the author of Fuse Algebra 1, the first app math textbook developed exclusively for the Apple iPad, published by Houghton Mifflin Harcourt.
Burger delivered 28 addresses in the past year including the Battles Lecture at the Spring Conference of the NES MAA, a Fulbright Workshop at Harvard University, three mathematics workshops in the United Arab Emirates, and the Parsons Lectures at The University of North Carolina–Asheville. In addition, Burger was the moderator of “Williams Today and Tomorrow” as part of the Williams presidential induction in September. On June 26, he was a guest on the television program 207 on WCSH (NBC-TV) in Portland, ME.
Professor Satyan Devadoss returned from sabbatical this year, once again enjoying the sun and the snow of Williams, having a grand ol’ time. His research is in the areas of discrete topology and geometry, on which he gave several invited talks from coast-to-coast. Two of his papers appeared in print this year: One was in the Journal of Combinatorial Theory on his work on graphs and polytopes, and the other, co-written with students of SMALL, appeared in the Notices of the American Mathematical Society, which was somewhat of a big deal to him. Professor Devadoss also had his first book appear in print, Discrete and Computational Geometry, published by Princeton University Press.
On the Williams front, Devadoss gave several talks, including the Veritas Forum and the Latke vs Hamentashen Debate. Moreover, after several years as faculty program director of the Dodd Cluster, Professor Devadoss will be stepping down and the department’s own Professor Morgan will be taking the mantle. This seems fitting as Dodd House was built by Cyrus Dodd ‘55, Professor of Mathematics.
Professor Richard De Veaux continued his work in data mining and gave a variety of invited talks, keynote addresses and workshops on teaching and data mining throughout the United States and Europe. His book Business Statistics 2nd Edition written with Norean Sharpe (Georgetown University) and Paul Velleman (Cornell) and Stats: Data and Models 3rd Edition were published in December by Pearson. He also supervised the thesis of Ville Satopää entitled, “Robust Regression Boosting.”
Professor Thomas Garrity has continued his research in number theory. On September 30, 2010, with Colin Adams, he gave the debate “Derivative vs. Integral: The Final Smackdown.” They also gave this debate in January 2011 at the National Joint Meeting of the American Mathematical Society and the Mathematical Association of America in New Orleans. Also at the National Joint Meeting he spoke on “Generalizing Stern’s Diatomic Sequences via Multidimensional Continued Fractions” in a special session. Also in January he gave a colloquium at the College of Wooster titled “On Writing Numbers.” He gave a similar talk to the students at the Hampshire College Summer Studies in Mathematics in July 2010. He continues being the co-director of Williams’ Project for Effective Teaching (Project PET).
Professor Stewart Johnson continues his research in dynamical systems, modeling, and optimal control with a focus on systems that exhibit continuous and discrete behavior. He is currently developing computational methods for delicate optimal control problems.
Prof. Johnson organized a mini-symposium and presented his work on rapidly switching control systems at the 2011 Society for Industrial and Applied Mathematicians Conference on Applications of Dynamical Systems.
Professor Johnson remains active in the college wide Quantitative Studies program which provides early identification and intervention for students with quantitative challenges.
Professor Bernhard Klingenberg with the help of Ville Satopaa’11, worked on analyzing multivariate binary data which arise in toxicology or drug and vaccine safety studies when comparing measurements taken on subjects that are exposure to a toxin/drug/vaccine to measurements taken on subjects in a control group. A first paper on this subject recently appeared in Computational Statistics and Data Analysis. A second topic that is currently under research is on statistical methods for multiple comparisons from cross-over clinical trials with a binary response. Prof. Klingenberg gave several invited and contributed talks on these and related topics, among them at the Institute of Medical Statistics at the Medical Univ. of Vienna, Austria, at the Dept. of Biostatistics, Karolinska Institute, Stockholm, Sweden and at Biostatistics conferences in Montpellier, France and Miami, FL. At Williams, Prof. Klingenberg provided statistical consulting services to students and faculty from a wide variety of disciplines.
In 2010 a research paper written by the 2007 SMALL Commutative Algebra group, advised by Susan Loepp, appeared in the Canadian Journal of Mathematics. In addition, a paper written by the 2009 SMALL Commutative Algebra group was accepted for publication in the Journal of Commutative Algebra. Loepp advised the senior honors theses of Sean Pegado’11 and Philip Vu’11. Both students presented their thesis results at the Undergraduate Research Poster Session at the National Math meetings in New Orleans in January 2011.
In February, Loepp concluded her service as the chair of the American Mathematical Society’s Committee on the Profession. She was also the chair of the 2011 AMS committee on Programs that Make a Difference and is currently on the AMS search committee for a new Secretary, and the AMS Committee on Committees. In November, Loepp served on a panel for the National Science Foundation. The panel reviewed grants and made recommendations for funding to the Program Officers.
Professor Steven Miller received a three year NSF grant to continue his investigations in number theory and probability. Last year he wrote 10+ papers (many with students), gave 20 talks and jointly organized two AMS special sessions. He also worked with three WIT students (Jennifer Gossels, Kushatha Fanikiso and Mike Ormsbee) and two summer science students (Craig Corsi and Stewart Stewart) to revise his math riddles website http://mathriddles.williams.edu/ (which is in the top 5 when googling ‘math riddles’), six students in SMALL (with Williams students Carlos Dominguez and Murat Kologlu), advised high school students in research projects at PROMYS at BU over the summer, and gave continuing education lectures on cryptography and Benford’s law to middle and high school teachers. He supervised three math theses (Ari Binder, Jake Levinson and Wentao Xiong), and was a secondary advisor for one in economics (Dan Costanza). He is currently working on three books (on Benford’s law, on cryptography and on probability, the last two with Williams students).
As Vice-President of the American Mathematical Society, Professor Frank Morgan spent two months of his sabbatical giving some 40 talks across Asia: Pakistan, just 35 miles from Osama Bin Laden; Vietnam, with a talk to a thousand students, covered on Vietnam TV; Thailand; Singapore; Malaysia; and the Philippines. In Ho Chi Minh City one former student—Chung Truong—appeared at his talk and alerted three more former students in Bangkok—Wisa “Aom” Kitichaiwat, Pakinee “Ta” Banchuin, and Harit Rodpraser—who took him to dinner and talked about their work at the Bank of Thailand. He spent the fall at the Fields Institute in Toronto and January-February at Brigham Young University in Utah. Last summer he taught a short course on geometric measure theory in Sao Paulo, Brazil. Altogether he gave some 66 talks.
Morgan is continuing his study of minimal surfaces and densities with a number of collaborators and his undergraduate research Geometry Group. Publications include a joint note with a Walter Filkins, a student in his Investment Mathematics class.
Professor Allison Pacelli was on leave during the fall semester, and continued her research in algebraic number theory. She advised the Algebraic Number Theory group as part of SMALL 2010; the group’s results on Galois groups of iterated Rikuna polynomials have been submitted for publication.
During the summer of 2010, Pacelli co-directed an MAA Professional Enhancement Program on teaching algebraic number theory at the undergraduate level for college faculty around the country. During the past year, she gave talks at Wellesley College, Siena College, Brown University, George Washington University, Acadia University, Canadian Number Theory Conference IX, and Williams College. She served as a grant reviewer for the National Science Foundation Division of Undergraduate Education, and continued to serve on the Steering Committee for the Hudson River Undergraduate Mathematics Conference.
Professor Cesar Silva continued his research in ergodic theory. He taught Real Analysis in the fall, where he used a preliminary version of the book he is writing. He was awarded a grant from the National Science Foundation to organize a conference on the occasion of John Oxtoby’s Centennial. The conference took place at Bryn Mawr College, October 30 – 31, 2010.
Silva attended the Dynamics Workshop in Pingree Park of Colorado State University during August 2 – 7, 2010 and the annual AMS Meeting in New Orleans, Louisiana, January 6 – 9, 2011. He was invited to give a series of lectures in ergodic theory at the CIMPA – UNESCO conference in Lima, Peru in July 2010. In the spring, Silva offered five lectures on fractals for the Osher Lifelong Learning Institute. He was invited to participate in a panel at The Hotchkiss Symposium on International Student Secondary and Post-Secondary Experiences on June 15, 2011. Silva published three papers coauthored with his students based on research in the SMALL program.
Professor Mihai Stoiciu taught two sections of Linear Algebra in the Fall Semester of the Academic Year 2010-2011. During the Spring Semester he taught two sections of “Abstract Algebra and Numerical Problem Solving”, a 300-level tutorial cross-listed between Mathematics and Computer Science. Also, Stoiciu supervised Zhaoning (Nancy) Wang’11, who wrote an undergraduate thesis titled “Sturm-Liouville Oscillation Theory for Differential Equations and Applications to Functional Analysis.” In her thesis, Nancy studied connections between second-order differential equations and their corresponding difference equations, as well as applications of the Sturm-Liouville Oscillation Theory to spectral theory. Stoiciu also supervised the SMALL 2010 Mathematical Physics Group, which investigated spectral properties of non-Hermitian matrices and operators.
During the year, Stoiciu continued his research on spectral properties of random and deterministic operators, working with collaborators from the UK and US. He was invited to present his research at Rice University, Cuernavaca Mathematics Institute, Mexico, at two AMS Special Sessions in Iowa City, IA and in Worcester, MA and at a SIAM workshop at the University of North Carolina at Charlotte. Stoiciu was also invited to give a graduate mini-course on topics related to his research at Universidad Nacional Autónoma de México in Mexico City, Mexico. At Williams College, Stoiciu gave two talks in the Mathematics and Statistics Faculty Seminar, a Tuesday Science Talk, and two Mathematics Colloquia for students.
Mathematics Colloquia
Colin Adams, Williams College
“Geometry of Knots”
“Stick Numbers of Knots”
Elizabeth Beazley
“Maximal Newton Polygons Via the Quantum Bruhat Graph”
“A Graph Encoding an Order on the Affine Symmetric Group”
Arthur Berg, Pennsylvania State University
“Standing Between A Bayesian and A Frequentist: An Emperical Bayes Exploration of Movies, Baseball, and Williams College”
Carsten Botts, Williams College
“Producing an Exact Sample from a Posterior Distribution”
“Transformed Density Rejection with Inflection Points”
Edward Burger, Williams College
“Conjugate Coupling: The Romantic Adventure of the Quintessential Quadratic”
David Demanik, Rice University
“An Introduction to the Mathematics of Aperiodic Order”
Satyan Devadoss, Williams College
“Deformations of Bordered Riemann Surfaces”
John Emerson ‘92, Yale University
“Statistical Sleuthing by Leveraging Human Nature: A Study of Olympic Figure Skating”
Thomas Garrity, Williams College
“On Writing Numbers: The Hermite Problem and Multi-dimensional Continued Fractions”
“On Pascal with Memory for Triangles, or, on Sterns’ Triatomic Sequences”
Sandrah Eckel, University of Southern California
“Statistical Issues in Quantifying the Health Effects of Air Pollution in Children”
Kari Hart, Emory University
“A Robust Extension of Latent Class Analysis for Longitudinal Data”
Bernhard Klingenberg, Williams College
“Comparing Margins of Multivariate Binary Data”
“Confidence Intervals for Contrasts of Binomial Proportions“
“Crossover Studies“
Kari Lock, Harvard University
“Rerandomization in Randomized Experiments”
Susan Loepp, Williams College
“Semilocal Formal Fibers of Prime Ideals with Large Heights”
“Excellent Integral Domains of Prime Characteristic“
Kelly McConville, Colorado State University
“I Count Trees: How a Survey Statistician Estimates a Finite Population Total”
Xiao-Li Meng, Harvard University
“Trivial Mathematics but Deep Statistics: Simpson’s Paradox and Its Impact on Your Life”
Steven Miller, Williams College
“Benford’s Law, or Why the IRS Cares About Number Theory!”
“Cookie Monster Meets the Fibonacci Numbers. Mmmmmm – Theorems!”
Frank Morgan, Williams College
“Ideal Shapes”
Joseph O’Rourke, Smith College
“Unfolding Convex Polyhedra: New Methods”
Allison Pacelli, Williams College
“Algebraic Number Theory, an “Ideal” Subject”
Shawn Rafalski, Fairfield University
“Small Hyperbolic Polyhedra”
Karl Rohe, University of California, Berkeley
“An Introduction to Clustering and the Spectral Clustering Algorithm”
Cesar Silva, Williams College
“Mu-Compatible Metrics and Measurable Sensitivity”
Mihai Stoiciu, Williams College
“Spectra of Non-Hermitian Operators”
“The Asymptotic Behavior of the Pseudospectrum of a Square Matrix”
“Sturm Oscillation Theory for Unitary Matrices”
Andrew Womack, Washington University in St. Louis
“Information Theory and Invariance in Bayesian Statistics”
Mathematics Student Colloquia by 2011 Graduates
| Antoniya Aleksandrova | “Random Matrices and Wigner’s Semicircle Law” |
| Nicholas Arnosti | “Continued Fractions and Diophantine Approximation” |
| Benjamin Atkinson | “Phylogenetic Trees: A Geometric and Combinatorial Approach” |
| Nicole Ballon-Landa | “Check Digit Schemes” |
| Ran Bi | “From the Unit Interval to Much More: Space-Filling Curves” |
| Ariel Binder | “Love Mathematically” |
| Christine Bowman | “Cryptographic Hash Functions” |
| Camille Chicklis | “Firefly Synchronization” |
| Daniel Costanza | “Statistical Limbo: How Low Can You Go?” |
| Sara Dwyer | “Non-Parametric Statistics and the Search for Extrasolar Planets” |
| Aaron Ford | “Optimal Pricing with Loyalty” |
| Daniel Franck | “German Tank Problem” |
| Robert Hannigan | “Statistical Quality Control as an Investment Strategy” |
| Katherine Hunter-Smith | “Methods of Approximation” |
| Leah Hurwich | “The Shape of Irrationality” |
| Michael Ives | “Cayley and Catalan Count Trees, in Space and On A Plane” |
| Thelonious Jensen | “The Beauty Contest Problem: Choosing the Maximum of a Sequence” |
| Daniel Kenefick | “Continuous Functions with Divergent Fourier Series” |
| Patricia Klein | “Finding Algebraically Closed Fields” |
| Jake Levinson | “Groebner Bases: An Ideal Way to Color Graphs” |
| Ang Li | “Cancer Stem Cell, Niche and Proliferative Signalling on Tumor Development and Treatment Response: A Mathematical Model” |
| Andrew Liu | “Generating Random Variables” |
| Meredith McClatchy | “Have a Hat?” |
| Nancy McInerney | “Robot Motion Planning” |
| Alex Mendels | “Chaos and the Lorenz Water Wheel” |
| Yuzhong Meng | “Differentiating the Undifferentiable and Solving PDEs” |
| Brendan Munzar | “Surreal Numbers and Their Applications in Combinatorial Game Theory” |
| Connor Olvany | “Probability and Graph Theory: An Unlikely Marriage” |
| William Palmer | “Hamming Codes: The Perfect Way to Send a Message” |
| Sean Pegado | “Elliptic Curves and Mordell’s Theorem” |
| Jay Petricone | “Optimal Sports Draft Strategies” |
| Thuy Pham | “Stochastic Linear Programming” |
| David E. Phillips | “Balls to the Wall: Pushing the Combinatorial Limits of Juggling” |
| Laura Pickel | “Constructing Regular n-gons Using Compass and a Straightedge” |
| Ellen Ramsey | “The ABC Conjecture” |
| Steven Rubin | “Tiling Your Bathroom Floor With Rectangular Tiles” |
| Ville Satopaa | “Simultaneous Confidence Interval Estimation – Part 1” |
| T. Elliott Schrock | “Dirichlet’s Theorem on Arithmetic Progressions: L-Functions and Primes” |
| Meghan Shea | “From Peace Treaties to Divorce Settlements: Does Someone Always Get the Better Deal?” |
| Hyun Gea Shin | “Hathaway’s Circular Pursuit Problem” |
| Robert Silversmith | “Dynamics in the p-adic Numbers” |
| Evan Skorpen | “Forecasting with Autoregressive Functions” |
| Anna Soybel | “I Don’t Want to Do the Dishes” |
| Catalina Stoica | “Misuse of Statistics in the Court: The Case of Lucia de Berk” |
| Ashley Taylor | “The Conway Napkin Problem” |
| David Thompson | “Group Theory and the Rubik’s Cube” |
| Rebecca Tyson | “Latin Squares” |
| Philip Vu | “The In-Between Worlds: Understanding Non-integer Dimensions with the Hausdorff Measure” |
| Jacob Wagner | “Cellular Automaton Models for Traffic Flow” |
| Zhaoning Wang | “Fibonacci Nim: How Number Theory Allows you to Always be a Winner” |
| Daniel Waters | “The Weierstrass Approximation Theorem” |
| Stephen Webster | “Choose Wisely: The Polyhedral Geometry of University Rankings” |
| Dean Weesner | “Optimizing Auctions” |
| Elena Wikner | “Conics in the Projective Plane” |
| Wentao Xiong | “An Introduction to Surfaces, Polygons, and Fundamental Groups” |
Off-Campus Colloquia
Colin Adams
“Making Math Fun”
University of Texas at Tyler
“The Great Calculus Debate”
with Thomas Garrity, Siena College
Joint Mathematics Meetings, New Orleans, LA
“Blown Away: What Knot to Do When Sailing”
Hampshire College
Ohio State Young Mathematician’s Conference, Columbus, OH
University of California, Irvine
Iona College
Loyola Marymount University
Eastern Kentucky University
University of Texas at Tyler
Elizabeth Beazley
“Maximal Newton Polygons and the Quantum Bruhat Graph”
University of Pennsylvania
“Several Partial Orderings on the Set of Permutations”
Swarthmore College
“Affine Deligne-Lusztig Varieties in the Affine Flag Variety”
University of Massachusetts, Amherst
“Quantum Schubert Calculus and Maximal Newton Polygons”
Affine Schubert Calculus Workshop, Fields Institute
Satyan Devadoss
“Colloquium”
AMS Section Meeting at Syracuse, NY
Central Connecticut State University
Pomona College
“Martin Lecture Series”
Johns Hopkins University
“Pi-Mu-Epsilon Lecture”
Siena College
“Veritas Forum”
Caltech
Richard De Veaux
“Successful Data Mining in Practice” Workshop
Abbott Laboratories, Chicago, IL
American Statistical Association Chapter, Kentucky
American Statistical Association Chapter, Honolulu, HI
New York State Comptroller’s Office, Albany, NY
New York State Comptroller’s Office, New York, NY
“The Seven Deadly Sins of Data Mining”
JMP Discovery 2100, Cary, NC
Federal Reserve Bank of Philadelphia
M2010 Conference (SAS), Las Vegas, NV
Mathematics Association of America, NJ Chapter, Newark, NJ
ICI Conference, Cavtat, Croatia
“What’s That in the Road? A Head?”
The Lawrenceville School, Lawrenceville, NJ
“Teaching Statistics via Story Telling”
Decision Sciences Institute Conference, San Diego, CA
Decision Sciences Institute Conference, Savannah, GA
“Play it Again, Sam: Resampling and Simulation in Intro Stats”
International Conference on Technology for College Mathematics (ICTCM), Denver, CO
“Data Mining: Fool’s Gold? Or the Mother Lode?”
“Data Mining Under the Hood: Bagging and Boosting”
St. Olaf College, Northfield, MN
“JMP Explorers’ Series: Exploring Interactive and Visual Data Mining”
Atlanta, GA, (July 2010 & June 2011)
Carlsbad, CA
Baltimore, MD
London, England, (November 2010 and March 2011)
Paris, France, (November 2010 and March 2011)
Frankfurt, Germany
Milan, Italy
Pittsburgh, PA
Boulder, CO
“Data Mining Workshop for High School Teachers”
Mass Insight, Bentley, MA
Thomas Garrity
“On Writing Numbers”
Hampshire College
College of Wooster
“Derivative vs. Integral: The Final Smackdown”
with Colin Adams, Siena College
“Derivative vs. Integral: The Final Smackdown”
Annual MAA Meetings, New Orleans, LA
“Generalizing Stern’s Diatomic Sequences via Multidimensional Continued Fractions”
AMS Special Session, New Orleans, LA
Bernhard Klingenberg
“Comparing Margins of Multivariate Binary Data”
ENAR Spring Conference, Miami, FL
“Exchangeability for Multivariate Binary Observations”
International Society for Clinical Biostatisticians, Montpellier, France
“Simultaneous Score Bounds for Risk Differences”
Karolinska Institute, Sweden
Medical University of Vienna, Austria
Susan Loepp
“These are a Few of my Favorite Rings: Ideas for Inspiring Students to Like Abstract Algebra”
MAA Northeastern Section Fall Meeting
“The Key to Sending Secret Messages”
“Protecting your Personal Information: An Introduction to Encryption”
St. John Fisher College
Steven Miller
“Sage Days 21: Progress Report on Statistics in Function Fields, Sage Days 21”
Seattle, Washington
“Cookie Monster meets the Fibonacci Numbers. Mmmmmm – Theorems!”
CUNY Graduate Center, New York, NY
Hampshire College
Smith College
Pi Mu Epsilon Induction Ceremony, College of the Holy Cross
Workshop on Combinatorial and Additive Number Theory (CANT 2010), CUNY Graduate Center, New York, NY
“Eigenvalue Statistics for Toeplitz Ensembles”
Bangalore, India
“From the Manhattan Project to Elliptic Curves”
Smith College
“From Cookie Monster to the IRS: Some Fruitful Interactions Between Probability, Combinatorics and Number Theory”
University of North Carolina
“Pythagoras at the Bat: An Introduction to Mathematical Modeling”
Virginia Tech
“Painleve VI and Tracy-Widom Distributions in Random Graphs, Random Matrix Theory and Number Theory”
AMS Special Session, Worcester, MA
“Mentoring Undergraduate Research”
AMS Special Session, College of the Holy Cross
“An Introduction to Matlab in Mathematics”
IAS Women in Mathematics Conference
Frank Morgan
“Densities from Geometry to Poincaré”
Canadian Undergraduate Mathematics Conference, Toronto
Kent State University
Fields Institute of Mathematics
Mahidol University, Bangkok
“Geometric Measure Theory Course”
San Paulo, four lectures
“New Isoperimetric Theorems”
Hampshire College
“Baserunner’s Optimal Path”
Mathfest, Pittsburgh, PA.
Abdus Salam School of Mathematical Sciences, Lahore, Pakistan, four lectures on Geometric Measure Theory
National University, Hanoi
Universiti Malaya, Malaysia
“Geometric Measure Theory, Densities, and Soap Bubbles”
Fields Institute
“Log Convex Density Conjecture”
University of California, Los Angeles
“Pentagonal Tilings and Other Partition Problems”
University of Toronto
“Double Bubbles from Euclidean to Gauss Space”
University of Toronto
“Isoperimetric Problems with Density”
New Orleans Joint Mathematics Meetings
Center for Advanced Mathematic and Physics, Islamabad, Pakistan
“Soap Bubble Geometry Contest”
Westside High School, Provo, Utah
“Double Soap Bubble Theorem”
Brigham Young University
Quaid-i-Azam University, Islamabad, Pakistan
“Isoperimetry and the Log-Convex Density Conjecture”
Centennial Congress RSME, Avila, Spain
“My Math Chat Live Call-In Show”
Brigham Young University
“Double Soap Bubble Theorem” and hands-on activities at Flandreau Planetarium Theater
University of Arizona, Tucson
“AMC Recognition Program”
Brigham Young University
“Soap Bubble Clusters”
University of Connecticut, Storrs
“Soap Bubbles and Mathematics”
For teachers of All Pakistan Mathematical Association at Pakistan Academy of Sciences
Punjab University, Lahore, Pakistan
Thai Nguyen, Vietnam
Math. Assn., Thailand
National University of Singapore High School
National Science Center (PSN), Malaysia
Al-Amin School, Malaysia
“Densities from Geometry to the Poincaré Conjecture”
Institute of Mathematics, Hanoi
Inst. Math. University of the Philippines
“Isoperimetric Problems”
“Students and Current Research”
“Soap Bubbles and Soap Films”
Hue, Vietnam
“Proof of the Double Bubble Conjecture”
Hochiminh City
Chulalongkorn U., Bangkok
“Isoperimetric Problems”
Thammasat U., Bangkok
2nd Singapore Mathematical Symposium, Nanyang Technological University, Singapore
“Teaching Geometry by Guessing What Soap Bubbles Will Do”
Clementi Town Secondary School, Singapore
“Students and Current Research”
National Institute of Education, Singapore
“Soap Bubbles and Mathematics, Popularization of Mathematics and MathChat TV”
Universiti Malaysia Terengganu
“Innovative Teaching in Mathematics, Soap Bubbles and Mathematics”
Universiti Putra Malaysia
“Soap Bubbles and Mathematics, Current Research and Innovation in Mathematics”
Universiti Teknologi Mara, Malaysia
“Popularization of Mathematics and MathChat TV”
National Science Center, Malaysia
“Innovative Teaching of Calculus: Max-Min Problems, Soap Bubbles and Mathematics”
Universiti Kebangsaan Malaysia
“Soap Bubbles”
University of the Philippines
“The Double Soap Bubble Theorem”
Ateneo de Manila University, Philippines
“Soap Bubbles and Mathematics: The Amazing Shapes of Minimal Surfaces”
Museum of Mathematics, New York City
Allison Pacelli
“Algebraic Number Theory: An “Ideal” Subject”
Wellesley College
Summer Program for Women in Mathematics, George Washington University
“Algebraic Number Theory & Fermat’s Last Theorem”
Siena College
“Class Number Indivisibility”
Brown University
“Indivisibility of Class Numbers in Global Function Fields”
Canadian Number Theory Conference
“Math and Politics in the Undergraduate Colloquium”
Arcadia University
Cesar Silva
“Ejemplos y contraejemplos en teorÍa ergódica”
series of five talks, International School CIMPA-UNESCO, IMCA, Lima, Peru
Mihai Stoiciu
“Mathematics Colloquium”
“Analysis and Geometry Seminar”
Rice University
“Probability Seminar”
University of Toronto
“Orthogonal Polynomials on the Unit Circle, CMV Matrices, and the Distribution Theory”
Universidad Nacional Autónoma de México, Mexico City
“Mathematics Colloquium”
Mathematics Institute, Cuernavaca, Mexico
“Spectral Theory”
AMS Central Sectional Meeting, Iowa City, IA
“Spectral Theory and Wave Processes in Periodic and Random Media”
University of North Carolina, Charlotte
“Random Processes”
AMS Special Session, College of the Holy Cross
Postgraduate Plans of Mathematics Majors
| Nicholas Arnosti | Pursuing a Ph.D. in Operations Research in the Department of Management Science and Engineering at Stanford University |
| Ariel Binder | Research Assistant at International Monetary Fund in Fiscal Operations Division in Washington, DC then pursuing a PhD. in economics |
| Christine Bowman | Attending Emory University School of Medicine |
| Aaron Ford | Working as an Investment Banking Analyst at JP Morgan in the Tech, Media, Telecom group. |
| Daniel Franck | Consultant for Booz Allen Hamilton |
| Robert Hannigan | Analyst at a boutique investment bank specializing in M&A advisory and related financing |
| Leah Hurwich | Working for Raytheon |
| Jake Levinson | Pursuing a Ph.D. in Mathematics at the University of Michigan |
| Ang Li | Pursuing a MD/Ph.D. at Columbia Medical School |
| Andrew Liu | Investment Fellowship with T. Rowe Price in Baltimore, Maryland |
| Yuzhong Meng | Research Assistant in cancer biology lab at the Whitehead Institute for Biomedical Research in Cambridge, MA, while applying to medical school. |
| Sean Pegado | Working as an Analyst at Cornerstone Research, an economic consulting firm in NYC |
| Jay Petricone | Working at Audax Group, a private equity firm in Boston |
| David E. Phillips | Working in consulting with Deloitte Consulting in Boston |
| Ellen Ramsey | Working as an analyst at Promontory Financial Group in New York |
| Steven Rubin | Pursuing a Ph.D. in Computer Science at University of California, Berkeley |
| Ville Satopaa | Traveling a lot this summer: Spain, Denmark, England, Finland (home), and Lappland (northern parts of the Northern Europe). Fall 2012 pursuing a Ph.D. in statistics at the Wharton School, University of Pennsylvania. |
| Meghan Shea | Working as a analyst for Compass Lexecon, an economic consulting firm |
| Robert Silversmith | Pursuing a Ph.D. in Pure Mathematics at the University of Michigan |
| Evan Skorpen | Working at Bain Consulting in New York |
| David Thompson | Working at Bain & Company as an associate consultant |
| Philip Vu | Taking a gap year, then attending graduate school in mathematics |
| Jacob Wagner | Investment banking at GS |
| Zhaoning Wang | Pursuing a Ph.D. in Economics at Harvard University |
| Stephen Webster | Working as a consultant at Booz Allen Hamilton |
| Dean Weesner | Economic consulting in Menlo Park, California |
