UMS Talk – Self-Similar Tiling of the Plane
By Dr. Andrew Vince Abstract:Topics in the talk include: a short history of tiling, symmetry, aperiodic tiling, self-similarity, and construction of self-similar tilings.
UMS Talk – A Mathematical Theory of Communication and Google Submarine Networks
By Dr. Valey Kamalov Abstract: This is what I do for a living: build submarine fiber optic cables. It is a fascinated business, and I want to share with you my experience. My most recent engagement with 95 students from 30 countries last summer was very positive, click here for more info; I will tell […]
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UMS Talk – The Mathematics of Gerrymandering
By Dr. Kevin Knudson Abstract: Drawing the boundaries of voting districts to maximize a party’s likelihood of keeping control has a long history on both sides of the partisan divide. Technological advances have taken this to new levels, generating maps with oddly-shaped, meandering districts that appear unreasonable. Can mathematics come to the rescue? In this […]
UMS Talk – An Introduction to High-Dimensional Probability
By Dr. Arnaud Marsiglietti Abstract: What does a ball or a cube look like in high dimension? How is the mass of a ball distributed in high dimension? In this talk, we will answer these questions and see that our intuition of mathematical objects of low dimensions is flawed when working in high dimension.
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UMS Talk — Linear Algebra and Erasure Correction
By Dr. Richard Newman Abstract: Nearly 30 years ago, Michael Rabin published his Information Dispersal Algorithm, with applications in redundant storage and networking. Another way of formulating his invention is as a very short erasure correcting code with very large symbols. Remarkably, the IDA is very efficient, allowing recovery of loss of any r parts […]
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UMS Talk – A Plethora of Proofs on the Plenitude of Primes
By Dr. Jesse Thorner Abstract: Prime numbers are the building blocks for the positive integers; in particular, every integer n ≥ 2 can be expressed uniquely (up to ordering) as a product of primes. I will give several proofs that there are infinitely many primes. The proofs touch on ideas from number theory, set theory, […]
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UMS Talk – A Tour of Hyperbolic Geometry
By Andrew Kreihn Abstract: The recognition of hyperbolic geometry as a valid geometry was a pivotal step in launching the study of geometry to its modern form. Yet for being both historically significant as well as closer to Euclidean geometry than every other geometry, it is often not taught. We’ll try to get an overview […]