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  • Calculus, Real Fewnomials, and P vs NP

    Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

    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 […]

  • 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, California

    Markov 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 of Markov chains, to developing distributed algorithms for programmable matter systems. Programmable matter is a material or substance that has the ability to change its […]

  • Differential spectra of power permutations (Daniel Katz, CSUN)

    Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, California

    If $F$ 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 a power permutation of $F$. For any function $f: F \to F$, and $a, b \in F$, we define the differential multiplicity of $f$ with respect to […]

  • Paper Strip Knots (David Bachman)

    Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

    I 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.

  • 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, California

    Clustering 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 in which a collection of image elements is treated as a dynamical system. Efficient clustering in this framework   is achieved if the dynamical system admits […]

  • Counting stuff with quantum Airy structures (Vincent Bouchard, University of Alberta)

    Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, California

    Mathematicians 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 […]

  • Topology Triple-Header!

    Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

    This 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, […]

  • Let’s count points!

    Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

    A 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 […]

  • Recent developments biquandle brackets (Sam Nelson, CMC)

    Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, California

    We review some recent developments in the study of biquandle brackets and other quantum enhancements.

  • Topological index and square plat projections (Puttipong Pongtanapaisan)

    Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

    The 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 distance of the canonical bridge sphere of a knot in a highly twisted plat projection in terms of the height and the width of the […]