Calculus, Real Fewnomials, and P vs NP
We review a beautiful 17th century result by the philosopher Rene Descartes: a univariate real polynomial with t monomial terms has no more than t-1 positive roots. We then see […]
12 events found.
Events
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Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States
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GEMS Workshop: Mathematics of Information with Professor Lucas Bang of Harvey Mudd College
Shanahan 1480, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United StatesTOPIC: The Mathematics of Information We are surrounded by information. Words in books, ones and zeros in computers, mathematical equations, and DNA sequences are all examples of information, but can we say something more about it? In this workshop, we will learn about the mathematics of information, see how it is related to concepts from […]
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Markov Chains and Emergent Behavior in Programmable Matter given by Prof. Sarah Canon (CMC)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, CaliforniaMarkov chains are widely used throughout mathematics, statistics, and the sciences, often for modelling purposes or for generating random samples. In this talk I’ll discuss a different, more recent application […]
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Differential spectra of power permutations (Daniel Katz, CSUN)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, CaliforniaIf $F$ is a finite field and $d$ is a positive integer relatively prime to $|F^\times|$, then the power map $x \mapsto x^d$ is a permutation of $F$, and so is called […]
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Paper Strip Knots (David Bachman)
Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United StatesI will discuss joint work with Jim Hoste, where we prove that a unique folded strip of paper can follow any polygonal knot with odd stick number. In the even stick number case there are either infinitely many, or none.
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Science for the Greater Good: How a Math Professor Saved the Italian Coastline from Big Oil
Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United StatesIn 2007, Dr. Maria D'Orsogna learned of proposed oil activities in her home region of Abruzzo, Italy. Century-old wineries were to be uprooted to build clusters of oil wells, refineries […]
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Applied Math Talk: Stochastic similarity matrices and data clustering given by Prof. Denis Gaidashev (Uppsala University)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, CaliforniaClustering in image analysis is a central technique that allows to classify elements of an image. We describe a simple clustering technique that uses the method of similarity matrices, and an algorithm […]
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Counting stuff with quantum Airy structures (Vincent Bouchard, University of Alberta)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, CaliforniaMathematicians like to count things. Often in very complicated and fancy ways. In this talk I will explain how we can use quantum Airy structures -- an abstract formalism recently proposed by Kontsevich and Soibelman, underlying the Eynard-Orantin topological recursion -- to count various interesting geometric structures. Quantum Airy structures can be seen as a […]
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Topology Triple-Header!
Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United StatesThis triple-header of topology talks will include three speakers: First, Hyeran Cho from The Ohio State University will speak about Derivation of Schubert normal forms of 2-bridge knots from (1,1)-diagrams. In this talk, we show that the dual (1, 1)-diagram of a (1, 1)-diagram (a.k.a. a two pointed genus one Heegaard diagram) D(a, 0, 1, […]
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Let’s count points!
Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United StatesA fascinating fact on mathematics is that there are many interesting connections between seemingly different mathematical disciplines. In this talk, I will present a surprising formula counting integral points on polygons and sketch its proof. We will see a delightful interaction between algebra, combinatorics, and geometry. This talk aims primarily for undergraduate students. No prerequisite […]
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Recent developments biquandle brackets (Sam Nelson, CMC)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, CaliforniaWe review some recent developments in the study of biquandle brackets and other quantum enhancements.
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Topological index and square plat projections (Puttipong Pongtanapaisan)
Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United StatesThe bridge distance and the topological index are measures of the complexity of the bridge splitting of a knot. In 2016, Johnson and Moriah gave a formula for the bridge […]