MATHEMATICS AND STATISTICS DEPARTMENT

This was another great year for our department. In December, we learned the happy news that Professor Bernhard Klingenberg was promoted to Associate Professor with tenure. In January we learned that Professor Edward Burger won the Robert Foster Cherry Award for Great Teaching from Baylor University. In the spring we learned that Professor Susan Loepp has won the Northeast regional teaching award of the Mathematical Association of America – congratulations to all.

This year we had Amanda Beeson as Visiting Assistant Professor of Mathematics for the year, who has accepted a postdoctoral position at Rochester for next year. We wish her the best of luck. Lori Pedersen also was a visiting instructor in the department in the fall.

On 15 January 2010, members of the department, current students, alums and friends of the department met in San Francisco at the joint meeting of the American Mathematical Society and the Mathematical Association of America for a casual get-together, and then attended or performed in a series of short plays by Colin Adams, which were played in front of a packed house of mathematicians.

We are very proud of the accomplishments of our majors. The Rosenberg Prize for outstanding senior was awarded to Ralph Morrison ’10. David Moore ’10 and Ralph Morrison ’10 received the Goldberg Prize for the best colloquia. Chad Brown ’10 was awarded the Morgan Prize for teaching in its broadest sense. Ville Satopaa ‘11 and Hannah Hausman ’12 received the Robert M. Kozelka Award for outstanding students of statistics. Nicholas Arnosti ’11 won the Witte Problem Solving Prize. Liyang Zhang ’12 and Praphruetpong Athiwaratkun ’12, first, and JiWon Ahn ’12, second, were awarded the Benedict Prize for outstanding sophomore. Caleb Balderston ’10 and Katherine Hawkins ’10 were awarded the Wyskiel Prize for a student who chooses a career in teaching. Finally, Makisha Maier ’10 and Ralph Morrison ’10 were awarded the colloquium attendance prize. The members of our student advisory board, SMASAB (Students of Mathematics and Statistics Advisory Board), were Thomas Coleman ’10, Katherine Hawkins ’10, Ralph Morrison, ’10, Nicholas Arnosti ’11, Meredith McClatchy ’11 and Hannah Hausman ’12.

Professor Burger with Calculus students
enjoying lunch on Chapin steps.

In summer 2009, Professor Colin Adams worked with five students as part of the SMALL Undergraduate Research Project at Williams College. They presented talks at the UnKnot Conference (Undergraduate Knot Theory Conference) at Denison University July 15-18, for which Adams was one of two organizers. This conference brought together over 100 students and faculty to talk about knot theory. In July, Adams published his first book of fiction, entitled “Riot at the Calc Exam and Other Mathematically Bent Stories.” At both the UnKnot Conference and at the Winter Math Meetings in San Francisco in January, he and a large cast presented various theatrical pieces based on stories from the book. Over the academic year, Adams worked with Noel MacNaughton ’10 and Andrew Lee ’10 on theses on knots and nonorientable Heegaard splittings respectively. In the spring, Adams taught a senior majors course on physical knot theory, and will advise a research group in the SMALL summer program, 2010 on that topic, in addition to serving as director of SMALL. He gave a variety of talks over the year, including “The Great Calculus Debate," with Tom Garrity.

In summer 2009, 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 February Beaver was an invited panelist on the National Science Foundation Panel for Graduate Fellowships in the Mathematical Sciences. In June, she was part of an external committee to consult with the department of mathematics at Union College.

Professor Carsten Botts had a paper accepted for publication, “A Modified Adaptive Accept-Reject Algorithm for Univariate Densities with Bounded Support” at the Journal of Statistical Computation and Simulation. He also spoke about the results discussed in this paper at Georgetown University of March of 2010. Another paper, “An Accept-Reject Algorithm for the Positive Multivariate Normal Distribution” has been conditionally accepted at Computational Statistics, and spoke about the results in this paper in August 2009 at the Joint Statistical Meetings. This summer he is leading a SMALL research group, and hopes to extend the results of the paper that has been conditionally accepted at Computational Statistics.

Professor Edward Burger was named the winner of the 2010 Robert Foster Cherry Award for Great Teaching from Baylor University. Our department will receive a $35,000 award from Baylor in honor of Professor Burger’s award. This coming fall Burger will be in residence at Baylor as the Robert Foster Cherry Professor of Great Teaching. He was highlighted in a 13 November 2009 article in the Wall Street Journal entitled, “America's Top College Professor.”

As Gaudino Scholar, Burger offered the course Exploring Creativity, cross-listed under Math, Studio Art, Philosophy, and English. He also introduced the Gaudino Option, which was approved by the faculty in May. Besides teaching Math 180 and Math 103, Burger led an independent study course in the English Department on comedy writing. The 3rd edition of The Heart of Mathematics: An Invitation to Effective Thinking (co-authored with Michael Starbird) was published in 2010 by John Wiley & Sons; the Korean language edition of his book, Coincidences, Chaos, and All That Math Jazz (also co-authored with Starbird) was published in July; and his paper, “Arithmetic from an Advanced Perspective: An Introduction to the Adeles” was accepted for publication in Pro Mathematica.

Burger delivered over 25 addresses in the past year and was a Scholar in Residence at the Bishop’s School in January. In February, he appeared on NBC-TV on the Today Show and throughout the 2010 Winter Olympics in a segment on mathematics (available on-line by clicking on “Mathletes” at: <http://www.nbclearn.com/olympics>.

Professor Satyan Devadoss was on sabbatical this year, enjoying the waves and the sun in the California bay area. He was a member of the Tropical Geometry program at the Mathematical Sciences Research Institute in fall 2009. In spring 2010, he was a visiting professor at the University of California, Berkeley, working in a computational biology lab. He received a Whiting Fellowship to travel for the summer of 2010. The month of June was spent at the University of Nice, and July was spent at different institutions in France.

Professor Devadoss gave several talks along the west coast, focusing on his work on configuration spaces and topology, including talks at Pixar, Google, UCLA, and the National Taiwan University. His 36-lecture DVD course from the Teaching Company on The Shape of Nature also appeared this year. He looks forward to joining his students, colleagues, and friends back in Williams in the fall.

Professor Richard De Veaux was on leave as an invited researcher at the Institut National de la Recherche Agronomique (INRA) in Jouy-en-Josas, France this year. De Veaux continued his research on data mining, publishing a paper with colleagues in Montpellier, France and Naples, Italy, and gave a variety of lectures, seminars, keynote addresses and short courses around the world.

He was a keynote speaker at the JMP Discovery 2009 conference in Chicago in September. He gave the seminar “Successful Exploratory Data Mining” in Cary, NC, Houston, Philadelphia, Seattle, San Francisco, New York, Boston, Chicago and Phoenix throughout the year. He gave a short course on data mining at the Food and Drug Administration in Washington DC in November and in Kuala Lumpur, Malaysia in December. In March 2010, he was the invited guest and keynote speaker for Stat Week at Arizona State University in Tempe, AZ. In April 2010, he gave a keynote address at the Illinois Section of the Mathematics Association of America. His new book Business Statistics: A First Course with Norean Sharpe (Georgetown) and Paul Velleman (Cornell) was published by Pearson in December.

Professor Tom Garrity has continued his research in number theory. His paper “A Thermodynamic Classification of Real Numbers” appeared in the Journal of Number Theory. There is a video summary at <http://www.youtube.com/watch?v=qnPF2QS4cRg>. On 20 November 2009, he debated Colin Adams on “Which Is Better: The Derivative or the Integral?” at the MAA northeaster section meeting at Western New England College. In January, he organized “Transferrific Day” at Williams, at which a lot of members of the department talked about different aspects of statistical mechanics, zeta functions and ergodic theory. On March 30 he spoke twice at Brigham Young. He continues being the director of Williams’ Project for Effective Teaching (Project PET). Last summer, he set up a new PET web page <http://pet.williams.edu/>, containing in particular many short video clips of Williams faculty talking about teaching.

Professor Stewart Johnson continues his research in dynamical systems, modeling, and optimal control with a focus on systems that exhibit continuous and discrete behavior. Continuing his research on rapidly switching cycles that approximate probabilistic behaviors, he is working on a complete classification of the structure and bifurcation of stasis curves for pairs of linear systems on the plane and a classification for canonical bifurcations in general 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 worked on constructing simultaneous confidence intervals for binary effect measures, such as the relative risk or the risk difference. These are useful in comparing several groups (such as different treatments) to a control group (such as placebo) with a binary response. Prof. Klingenberg also gave several talks on these and related topics at conferences, such as the meeting of the International Society for Clinical Biostatisticians in Prague, the FDA/Industry workshop in Washington, DC and a two-day short course on repeated categorical data at the Deming Conference in Atlantic City. At Williams, Prof. Klingenberg provided statistical consulting service to students and faculty from a wide variety of disciplines.

In the past year, Professor Susan Loepp had two papers appear in research journals in mathematics. The paper “A Class of Local Noetherian Domains,” written by S. Loepp, C. Rotthaus and S. Sword appeared in the Journal of Commutative Algebra. In addition, the paper “Dimensions of Formal Fibers of Height One Prime Ideals” appeared in Communications in Algebra. Both papers examine the relationship between a local ring and its completion.

During the summer of 2009, Loepp served as the SMALL director and advised the SMALL 2009 Commutative Algebra group. The group members, Nick Arnosti, Rachel Karpman, Caitlin Leverson, and Jake Levinson proved several original results and submitted a paper based on those results to a research journal in mathematics. In January 2010, the students gave an invited talk based on their research at the Joint Mathematics Meetings in San Francisco. Loepp also advised the senior honors thesis of Bolor (Bogi) Turmunkh. In her thesis, Bogi proved original results in commutative algebra.

Loepp won the 2010 Mathematical Association of America’s Northeastern Section Award for Distinguished College or University Teaching. She attended an MAA sectional meeting in June to accept the award.

Loepp is currently serving as the chair of the American Mathematical Society’s Committee on the Profession. In September 2009, she traveled to Chicago to attend the annual meeting of the committee. She is also serving as the chair of the AMS committee on Programs that Make a Difference and is on the AMS working group on the Nominee program. In September, Loepp served on a 3-day panel for the National Science Foundation. The panel reviewed grants and made recommendations for funding to the Program Officers.

Professor Steven Miller led an independent study on sabermetrics (baseball math) with five students working on projects for the San Diego Padres. He supervised Ralph Morrison’s thesis in analytic number theory, and six students in SMALL ’09 (including Steven Jackson and Vincent Pham of Williams). He also served as coach of the math team, which placed in the top 20 in the nation on the Putnam exam and regained the Green Chicken from Middlebury.

Professor Miller gave over 20 talks this year, including at a graduate workshop on L-functions and Random Matrix Theory. He published several papers in journals ranging from the Proceedings of the London Mathematical Society to Random Structures and Algorithms to Auditing: A Journal of Practice and Theory to the International Journal of Research and Marketing. He continued his involvement with PROMYS (a program for talented high school mathematics students) and the Institute for Mathematics & Education.

As Vice-President of the American Mathematical Society, Professor Frank Morgan spoke in December at the first joint meeting of the Korean and American Mathematical Societies and as a result will do a sabbatical Asian speaking tour next spring, including Pakistan, Vietnam, Thailand, Singapore, Malaysia, and the Philippines. Other travel plans include Carthage, Italy, Sao Paulo Brazil, the Fields Institute in Toronto in the fall, and Brigham Young University for a month in early 2011. He is continuing his study of minimal surfaces and densities with a number of collaborators and his undergraduate research Geometry Group, back at Williams this summer after a great and productive summer in Granada Spain in 2009.

Professor Morgan advised a colloquium talk by Davide Carozza ’09 on “Baserunner’s Optimal Path,” which turned into joint articles with Carozza and Professor Stewart Johnson in the Mathematical Intelligencer and the Collegiate Baseball Newspaper. As Faculty Program Director for the Williams College Dodd Neighborhood, he has established a weekly Student-Faculty Dinner. The last one featured the Math/Stats Department and a three-minute “Pi vs. e Food Debate” by Professors Adams and Garrity between menu items such as Pi-zza Pi-e and E-claires.

Professor Allison Pacelli had a wonderful time teaching this year. In addition to her courses at Williams, she taught Mathematics and Politics at the Summer Program for Women in Mathematics at George Washington University during the summer of 2009. During the summer of 2010, she’ll be running a workshop for the MAA on how to teach a course in, and how to get started in research in algebraic number theory. She also taught a winter study course, The Art & Science of Baking.

Pacelli continued her research in algebraic number theory this year. She had two papers appear in Acta Arithmetica. Her paper with Michael Rosen and SMALL 2008 students Michael Daub ‘08, Jackie Lang, Mona Merling, and Natee Pitiwan ’09 was accepted for publication in Acta Arithmetica. She also organized (with Rosen) a Special Session on The Arithmetic of Function Fields at the 2010 Joint Meetings.

Pacelli gave a Williams College Faculty Lecture Series talk entitled “Fair is Foul and Foul is Fair: A Mathematical Approach to Fairness.” Pacelli gave talks at Bard, Smith, and Williams College. She served on the Committee on Educational Policy at Williams and the Association for Women in Mathematics Travel Grants Selection Committee.

Professor Cesar Silva was on sabbatical leave during the 2009-2010 academic year. He continued his research and writing in ergodic theory.

He visited Copernicus University in Torun, Poland, where he gave a talk and collaborated with his colleagues A. Danilenko and M. Lemanczyk; he also gave two talks at the Bedlewo Conference Center of the Institute of Mathematics of the Polish Academy of Sciences and visited his colleague P. Thieullen in Bordeaux, Paris. Silva worked on his book, Invitation to Real Analysis. His student Ran Bi helped with the figures and a version of the book that will be used in his Real Analysis course in fall 2010.

Silva published two papers co-authored with his students based on research in the SMALL program. He also had two other papers accepted for publication, one with Darren Creutz ’03 titled “Mixing on Rank-One Transformations” that is to appear in Studia Mathematica, and another, co-authored with J. Kingsbery ’06, A. Levin, and A. Preygel, to appear in Discrete and Continuous Dynamical Systems. He also worked on other papers that will be submitted in the near future.

Professor Mihai Stoiciu taught three sections of Calculus II in the fall semester and a senior seminar class in Functional Analysis in the spring semester. He also enjoyed developing and teaching a new Winter Study class, Mathematics of the Rubik’s Cube. He was invited to present his research at the University of Toronto, University of Oklahoma, Cornell University, and at the AMS Special Session on “Spectral and Transport Properties of Schrödinger Operators,” held at the University of Kentucky. He was also invited to participate in two international research workshops: at the American Institute of Mathematics, Palo Alto, California, in the scientific program “Brownian Motion and Random Matrices,” and at the Centre Bernoulli at École Polytechique Fédérale de Lausanne, Switzerland, in the scientific program “Spectral and Dynamical Properties of Quantum Hamiltonians.”

During the year, Stoiciu continued his research on eigenvalue distributions of random and deterministic unitary matrices, working with collaborators from UK, US, and Germany. He presented his joint work with Norbert Peyerimhoff (from University of Durham, UK) at the AMS Session on “Difference Equations and Time Scales” at the AMS-MAA-SIAM Joint Mathematics Meetings, San Francisco, California.

At Williams College, Stoiciu gave a talk in the Mathematics and Statistics Faculty Seminar, a Tuesday Science Talk, and two Mathematics Colloquia for students. He also gave a presentation titled “Transfer Matrices and the Ising Model” at The Transferrific Day, organized by the Mathematics and Statistics Department in January 2010.

Colin Adams, Williams College

“Two Knotty Tales: Complementary Regions in Knot Diagrams and Spiral Index for Knots”
“Unknotting Tunnels and Heegaard Splittings for Hyperbolic 3-Manifolds”
Michael Baiocchi ‘03, The Wharton School

“Near/Far Matching: Using Statistics to Save Incredibly Adorable Babies”
Amanda Beeson, Williams College

“On the Explicit Construction of the Maximal Almost Abelian Extension of an Imaginary Quadratic Base”
Carsten Botts, Williams College

“A Modified Accept-Reject Algorithm for Univariate Densities with Bounded Support”
Edward Burger, Williams College

“Asymptotic Results Involving Ostrowski’s Decomposition of Natural Numbers”
Michael Daub ’08

“Geometric Galois Representations”
Michael Evans, University of Toronto

“Invariant Methods for Bayesian Analyses”
Thomas Garrity, Williams College

“On A Thermodynamic Classification for Real Numbers”
“Transfer Operators for Triangle Sequences”
“Topology and Phase Transitions: On the Work of Pettini”
“On Factoring Multi-variable Polynomials”
Allison Henrich, Williams College

“Virtual Knots and Unknotting Numbers”
Matthew Hoffman ’04, Johns Hopkins University

“Ensemble Data Assimilation for Weather and Ocean Forecasting”
Stewart Johnson, Williams College

”Evolutionary Dynamics and Sex Ratios in Small Populations”
“Stasis Bifurcations for Pairs of Linear Systems”
Bernhard Klingenberg, Williams College

“When Are Permutation Tests Valid?”
Susan Loepp, Williams College

“Local Rings, Completions, and Minimal Prime Ideals”
“Minimal Prime Ideals and Complete Local Rings”
Steven Miller, Williams College

“Finite Conductor Models for Zeros Near the Central Point of Elliptic Curve L-Functions”
“Random Matrix Theory and Number Theory: Progress Report from the 2009 SMALL REU at Williams College”
with John Goes, Steven Jackson ‘10, David Montague, Eve Ninsuwan, Ryan Peckner and Vincent Pham ‘11
Frank Morgan, Williams College

“Granada Math Report”
“Symmetrization”
“Baserunner’s Optimal Path”
Frank Morgan, Williams College and Stefano Nardulli, Palermo, Italy

“Pseudo-Bubbles in Manifolds”
Peter Pedroni, Williams College

“Robust Unit Root and Cointegration Rank Tests for Panels and Large Systems”
Dan Schwab ’02

“Poker and Game Theory? Who Said A Liberal Arts Education Isn’t Practical”
Cesar Silva, Williams College

“Mixing and Chaos in Kneading Dough”
Mihai Stoiciu, Williams College

“Random Operators with Poisson Eigenvalue Statistics”
“Unitary Operator Eigenvalues”
“Sets of Fractional Hausdorff Dimension”
Steven Strogatz, Cornell University

“The Calculus of Friendship”
“Synchronization”
Siman Wong, University of Massachusetts, Amherst

“Primes and Grad School”

Caleb Balderston ’10 “Becoming a Magic Square Magician”
Samantha Baldwin ‘10 “Likelihood Ratio Test”
Holti Banka “Surprising Patterns in Certain Infinite Products”
Chad Brown ’10 “Risk of Ruin for Winning Poker Players”
Todd Bustard ’10 “The Hairy Ball Theorem and its Relation to Meteorology and Apocalyptic Earthquake Events”
Adam Capulong ’10 “How to Put Down Your Money and Win – Optimal Gambling Strategies”
Jaehong Cho ’10 “Zipf’s Law & Its Explanations”
Christopher Chudzicki ’10 “The Transcendence of e”
Jeffrey Churchill ’10 “Brain Extraction Tools”
Thomas Coleman ‘10 “Solving the Quintic”
Peter Copelas ’10 “Perfect Sampling from Bayesian Posteriors”
C. Dorsey-Guillaumin ’10 “Things Go Better with Graph Theory”
Kayla Elliott ‘10 “Infectious Disease Modeling”
Tracey Ferriter ‘10 “The Four Square Theorem”
Crosby Fish ’10 “Look Out for Number One: Applications of Benford’s Law”
Sarah Ginsberg ’10 “Divergent Series III: The Return of the Convergence King”
Michael Grover ’10 “Survival of the Smartest: The Josephus Problem”
Katherine Hawkins ’10 “What Euler has to Say about Polyhedra...and Knots”
Charlotte Healy ’10 “The Four-Dimensional Euclidean Space and Its Representation in Analytic Cubism”
Rachel Hudson ‘10 “Why Johnny Depp Will Make it Home, But his Parrot Will Not”
Joanna Hoffman ’10 “Increasing the Odds of Winning the Hat Game”
Ana Inoa ’10 “Our Spin on a Golden Oldie”
Steven Jackson ‘10 “Divergent Series”
Elizabeth Kapnick ’10 “Social Networking – The Small World Problem”
Edgar Kosgey ‘10 “Convergence of the Sum of the Reciprocals of the Squares“
Andrew Lee ’10 “Compact Operators and the Dirichlet Problem”
Michael Marchinetti ’10 “Hexing Brouwer’s Fixed Point Theorem”
Timothy Marinelli ’10 “Bertrand’s Paradox”
Alexandre Massicotte ’10 “Linkages and the Steam Engine”
Alexander Mathews ‘10 “An Application of Markov Games: “Last-Ups” Advantage in Baseball”
Edward Mazurek ’10 “Optimal Allocation in Stratified Sampling”
Noel MacNaughton ’10 “Ramsey Numbers”
Makisha Maier ’10 “Convergent Series: Tauberian Theorems”
Steven Menking ’10 “Reducing Variance with Stratified Sampling”
David Moore ‘10 “Shopping for Mortgage Derivatives is Intractable”
Ralph Morrison ’10 “Divergent Series II: Cesaro’s Revenge”
Tina Motazedi ’10 “Mathematical Models for Cancer Therapy”
Jeffrey Perlis ’10 “Kuratowski Theorem”
Benjamin Peskoe ’10 “The Slope Problem”
Anne de Saint Phalle ’10 “The Law of Quadratic Reciprocity”
James Quella ’10 “On the Uniqueness of Coefficients in Trigonometric Series”
Cullen Roberts ’10 “Monte Carlo Methods and Applications”
Teresa Shirkova ’10 “Euler Strikes Again! Another Euler’s Constant”
Scott Sobolewski ‘10 “Deriving the Black-Scholes Formula Using Expectations”
Joshua Solis ‘10 “Stop Thinking and Make A Decision! A Mathematical Approach to Decision Making”
Elly Teitsworth ‘10 “Points in the Unit Interval: Regular Spacing versus Uniform Distribution”
Bolor Turmunkh ’10 “Optimal Partition of Sphere”
Sophia Vargas ’10 “Tessellations over an Infinite Plane: An Approach to Tiling Your Bathroom”
Salvador Villa ’10 “Sperner’s Dilemma”
Corey Watts ’10 “Controlling the Chaos in Your Heart”
Leiyu Xie ’10 “Ascoli’s Theorem and Shortest Paths”
Alexander Zhdanov ’10 “Primality Testing in Polynomial Time”

Colin Adams

”Knot Theory Workshop”
Ohio Section of the MAA, Denison University, Granville, OH
University of Central Oklahoma, Edmund, OK

“Two Knotty Tales: Complementary Regions and Spiral Index”
The UnKnot Conference, Denison University, Granville, OH

“A Knotty Tale of Spiral Knots”
Special Session on Knot Theory for Undergraduates, Mathfest, Portland, OR

“Three Knotty Tales: Complementary Regions, Spiral Index and Spanning Surfaces for Alternating Knots”
Topology Seminar, Oklahoma State University, Stillwater, OK

“The Great Calculus Debate”
with Tom Garrity, Northeastern Sectional Meeting of the MAA, Western New England College, Springfield, MA

“Mathematically Bent Theater, by the Mobiusbandaid Players”
Joint Mathematics Meetings, San Francisco, CA

“Maintaining you Research Agenda”
Panel, Joint Mathematics Meetings, San Francisco, CA

“Blown Away: What Knot to Do When Sailing”
Math Club Lecture, University of Texas, Austin

“Why Knot?”
RTG in Topology Public Lecture, University of Texas, Austin

“Indicatrices and Superinvariants of Knots”
Special Session on Invariants of Knots, Links and 3-Manifolds, AMS Eastern Sectional Meetings, Newark, NJ
Satyan Devadoss

“Tropical Geometry Seminar”
Mathematical Sciences Research Institute, CA

“Computational Biology Group”
“Western Algebraic Geometry Seminar”
University of California, Berkeley

“Mathematics Colloquium”
San Jose State University, CA
Claremont Colleges, CA

“Geometry Seminar”
National Taiwan University, Taipei
San Francisco State University, CA

“Pixar Animation Studios”
Emeryville, CA

“Algebra Seminar”
Colorado State University, Fort Collins, CO

“Pixar Animation Studios”
Emeryville, CA

“Google Research Seminar”
Mountain View, CA

“Research Seminar”
University of Nice
Richard De Veaux

“Successful Exploratory Data Mining”
JMP Explorer Series:
Cary, NC; Houston, TX; Philadelphia, PA; Seattle, WA; San Francisco, CA; New York, NY; Boston, MA; Chicago, IL; Phoenix, AZ

“Data Mining – Fool’s Gold or the Mother Lode?”
Keynote Address, JMP Discovery 2009, Chicago, IL
Keynote Address, Stat Week, Arizona State University, Tempe, AZ

“Data Mining in the Real World: Some Lessons Learned in the Pit”
SAS User’s Group, Minneapolis, MN

“Data Mining Tutorial”
Decision Sciences Institute, New Orleans, LA
Western DSI Conference, Lake Tahoe, NV

“Successful Data Mining in Practice”
Food and Drug Administration, Washington, DC

“Data Mining for Customer Optimization”
World Class Training Center, Kuala Lumpur, Malaysia

“What Data Mining Teaches me about Teaching Statistics”
Keynote Address, Stat Week, Arizona State University, Tempe, AZ

“Intro Stats and Data Mining”
Illinois Section, Mathematical Association of America, Rock Island, IL

“Math is Music, but Stats is Literature”
Illinois Section, Mathematical Association of America, Rock Island, IL

“Data Mining – Five Lessons Learned in the Pit”
Wharton School, University of Pennsylvania
Thomas Garrity

“On Conics”
Pittsfield High School Teacher Development

“The Derivative versus the Integral”
with Colin Adams, MAA Northeastern Sectional Meeting, Western New England College, Springfield, MA

“Mathematics or Truth: Or Is It?”
“On Being a Math Major
Brigham Young University
Bernhard Klingenberg

“Analysis of Clustered Categorical Data”
Two-day short course at the 65^th annual Deming Conference on Applied Statistics, Atlantic City, NJ (with Alan Agresti)

“Simultaneous Upper confidence Bounds for Relative Risks”
FDA/Industry Statistics Workshop, Washington, DC
30^th Annual ISCB (International Society for Clinical Biostatisticians) Meeting, Prague, Czech Republic
Institute of Statistics, Technical University Graz, Graz, Austria
Susan Loepp

“Completions of Reduced Local Rings”
Nicholas Arnosti ’11, Hudson River Undergraduate Mathematics Conference, Union College
Steven Miller

“From Random Matrix Theory to Number Theory”
Utah Valley University

“Irrational Research Topics”
PROMYS, Boston University

“Pythagoras at the Bat: An Introduction to Modeling”
Hampshire College

“Heuristics and Ballpark Estimates: From the 3x + 1 Problem to Counting Primes and Birthdays”
PROMYS, Boston University

“Benford’s Law: Why the IRS Might Care About the 3x + 1 Problem and the Riemann Zeta Function”
Central Connecticut State University
“Pythagoras at the Bat: An Introduction to Statistics and Mathematical Modeling”
Wellesley College

“Finite Conductor Models for Zeros Near the Central Point of Elliptic Curve L-Functions”
University of Rochester
Amherst College

“Benford’s Law: Why the IRS Cares About Number Theory”
Bentley University

“From the Manhattan Project to Number Theory”
Wellesley College

“Pythagoras at the Bat: An Introduction to Statistics and Modeling”
University of Connecticut

“Cookie Monster Meets the Fibonacci Numbers. Mmmmmm – Theorems!”
CUNY Graduate Center
Frank Morgan

“Manifolds with Density and Perelman’s Proof of the Poincaré Conjecture”
Palermo, Italy
Catania, Italy

“Soap Bubbles and Isoperimetric Problems”
Scuola Superiore, Catania, Italy
Napoli, Italy

“Surfaces with Density and Perelman’s Proof of the Poincaré Conjecture”
Hampshire College

“Manifolds with Density and Poincaré Conjecture”
IMPA, Rio, Brazil

“Surfaces with Density, Isoperimetric Problems, and Perelman’s Proof of the Poincaré Conjecture”
Union College

“Introduction to Soap Bubbles & Math”
Dixie Heights High School

“Soap Bubbles & Math”
Northern Kentucky University
Pavia, Italy

“Manifolds with Density and Isoperimetric Problems”
Florida Atlantic University

“From Soap Bubbles to the Poincaré Conjecture”
1^st AMS/KMS, Seoul, South Korea, Public Lecture
Georgia Tech
CURM, Brigham Young University

“The Soap Bubble Geometry Contest”
Pittsfield High School Faculty Workshop

“Baserunner’s Optimal Path”
San Francisco University Club

“Generalized Steiner and Schwarz Symmetrization”
San Francisco Joint Math Meetings

“The Double Bubble Theorem”
Georgia Southern University

“Densities from Geometry to Poincaré Conjecture”
Georgia Southern University

“The Isoperimetric Problem in Spaces with Density”
Banff Conference on Volume Inequalities
Dido Conference, Carthage

“Densities from Isoperimetry to Poincaré”
Firenze, Italy, Pavia, Italy, Como, Italy
Allison Pacelli

“Career Advice for Graduate Students”
University of Massachusetts, Amherst

“Algebraic Number Theory: From Fermat to Function Fields”
Keynote Address, Mid-Hudson Mathematics Conference for Undergraduates, Bard College

“Algebraic Number Theory: An “Ideal” Subject”
Smith College

“Indivisibility of Class Numbers in Global Fields”
Journées Arithmétiques
Cesar Silva

“Mixing Notions and Chacon Transformations, I and II”
Bedlewo Conference Center, Institute of Mathematics, Polish Academy of Sciences, Poland

“Mixing Polynomials on the p-adics”
Nicolas Copernicus University, Torun, Poland
Mihai Stoiciu

“Difference Equations and Time Scales”
AMS-MAA-SIAM Joint Mathematics Meetings, (AMS Session) San Francisco, CA

“Probability Seminar”
University of Toronto

“Spectral and Transport Properties of Schrödinger Operators”
AMS Southeastern Section, (AMS Special Session) Lexington, KY

“Analysis Seminar”
“Randomness, Well-Posedness and Bertrand’s Paradox”
University of Oklahoma

“Analysis Seminar”
Cornell University

“Spectral and Dynamical Properties of Quantum Hamiltonians”
Invited Participant and Speaker, Special Program at Centre Bernoulli, École Polytechique Fédérale de Laussane, Switzerland