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DTSTART;TZID=America/Los_Angeles:20211207T123000
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SUMMARY:Difference sets in higher dimensions (David Conlon\, Cal Tech)
DESCRIPTION:Let d >= 2 be a natural number. We determine the minimum possible size of the difference set A-A in terms of |A| for any sufficiently large finite subset A of R^d that is not contained in a translate of a hyperplane. By a construction of Stanchescu\, this is best possible and thus resolves an old question first raised by Uhrin. Joint work with Jeck Lim.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-david-conlon-cal-tech/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20211208T163000
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DTSTAMP:20260619T090349
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SUMMARY:Where do Putnam problems come from? (Prof. Andrew Bernoff)
DESCRIPTION:Title: Where do Putnam problems come from? \nSpeaker: Andrew Bernoff\, Department of Mathematics\, Harvey Mudd College \nAbstract: The William Lowell Putnam Exam is the preeminent mathematics competition for undergraduate college students in the United States and Canada. I recently finished a three year stint on the competition’s problem committee. This talk is a personal reflection on where Putnam problems come from. I’ll discuss three problems which can loosely be described as: \n\na mathematician’s viewpoint on axe throwing\,\na model for how chickens establish a pecking order inspired by a high school math competition and a subsequent tweet by Jordan Ellenberg\, and\na covering problem that arose from a generalization of several previous Putnam problems viewed through the lens of a mathematician obsessed with the Fourier transform.\n\nI’ll close with some observations about best practices and pitfalls to avoid when constructing an exam whether it be for a class or a competition. \n\nAndrew Bernoff is a Professor of Mathematics at Harvey Mudd College. While his research concentrates on using dynamical systems methods to understand experiments and natural phenomena\, he has a longstanding interest in recreational mathematics and problem solving. As an undergraduate at MIT he ran the first Integration Bee\, a tradition that has now continued for over four decades. More recently he just finished a three year stint on the William Lowell Putnam Exam’s problem committee.
URL:https://colleges.claremont.edu/ccms/event/where-do-putnam-problems-come-from-prof-andrew-bernoff/
LOCATION:CA
CATEGORIES:Colloquium
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