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  • Magnitude meets persistence. What happens after?

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

    The magnitude is an isometric invariant of metric spaces that was introduced by Tom Leinster in 2010, and is currently the object of intense research, as it has been shown […]

  • Faster point counting for curves over prime power rings (Maurice Rojas, Texas A&M)

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

    Counting points on algebraic curves over finite fields has numerous applications in communications and cryptology, and has led to some of the most beautiful results in 20th century arithmetic geometry. A natural generalization […]

  • 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 […]

  • GEMS Workshop: Mathematics of Information with Professor Lucas Bang of Harvey Mudd College

    Shanahan 1480, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United States

    TOPIC: 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 […]

  • 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 […]

  • 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.

  • 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 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 […]