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  • Formal geometry and characteristic classes

    I plan to explain how a purely algebraic technique involving Lie Algebra Cohomology can be used to construct standard characteristic classes of vector bundles and foliations (in fact, it could […]

  • 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 to encode many invariants of a metric space such as volume, dimension, and capacity. When studying a metric space in topological data analysis using persistent […]

  • 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 how one can prove a generalization that counts roots of two bivariate polynomials (with few monomial terms), using nothing more than basic calculus. In other […]

  • 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 […]

  • 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.