• Topology Seminar: Mauricio Gomez Lopez (U. Oregon)

    Title: Cobordism Categories and Spaces of Manifolds. Abstract: Cobordisms have been one of the central objects in topology since the pioneering work of Rene Thom, which provided the first link […]

  • 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 […]

  • Sporadic points on modular curves (Ozlem Ejder, Colorado State University)

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

    A classic and fundamental result in number theory is due to Mordell who proved that the set of points on an elliptic curve defined over a number field forms a finitely generated abelian group; in particular, it has a finite torsion subgroup. An essential tool to study elliptic curves is the modular curves which are […]

  • Applied Math Talk: Dynamics of neuroendocrine stress response given by Prof. Maria Rita D’Orsogna (CSUN)

    CGU Math North House

    The hypothalamic-pituitary-adrenal (HPA) axis is a neuroendocrine system that regulates numerous physiological processes. Disruptions are correlated with stress-related diseases such as PTSD and major depression. We characterize "normal" and "diseased" states of the HPA axis as basins of attraction of a dynamical system describing the main hormones regulated by the HPA axis. Our model includes […]

  • 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 […]

  • 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 […]