Mon, 12/02/2019 - 11:01am
Title: Mirror symmetry, geometry, and topological recursion Abstract: Mirror symmetry was originally discovered by physicists. It reflects the symmetry in string theory, where two different versions of string theory called type IIA and type IIB string theory give rise to the same physics. Mathematicians became interested in this relationship around 1990 when Philip Candelas,Xenia de la Ossa, Paul Green, and Linda Parks showed that it could be…
Mon, 12/02/2019 - 10:59am
Title: Logarithmic Riemann-Hilbert Correspondences Abstract: The classical Riemann-Hilbert Correspondence provides a deep connection between geometry and topology. In its simplest form it stipulates an equivalence between the categories of vector bundles with a flat connection on a complex manifold and local systems on the topological space underlying the manifold. If one allows the connection to have poles, the situation becomes considerably…
Mon, 12/02/2019 - 10:54am
Title: Exceptional splitting of abelian surfaces.   Abstract: An abelian surface 'splits' if it admits a non-trivial map to some elliptic curve. It is well known that the set of abelian surfaces that split are sparse  in the set of all abelian surfa​ces. Nevertheless, we prove that there are infinitely many split abelian surfaces in arithmetic one-parameter families of generically non-split abelian surfaces. I will describe this work, and if…
Mon, 11/18/2019 - 10:05am
Abstract: In this talk, several topics from High-dimensional probability shall be discussed. This fascinating area is rich in beautiful problems, and several easy-to-state questions will be outlined. Further, some connections between them will be explained throughout the talk.  I shall discuss several directions of my research. One direction is invertibility properties of inhomogeneous random matrices: I will present sharp estimates on the small…
Thu, 04/25/2019 - 2:58pm
  Title: Combinatorics, Categorification, and Crystals Abstract: Categorification attempts to replace algebraic and geometric structures with more general categories. It has enjoyed amazing successes, such as Khovanov homology categorifying the Jones polynomial, KLR algebras categorifying quantum groups, or Soergel bimodules categorifying Hecke algebras. The payoffs to finding these richer, higher categorical structures include applications like…
Fri, 03/22/2019 - 10:30am
Uniform Convergence is a one-woman play, written and performed by mathematics graduate student Corrine Yap. It juxtaposes the stories of two women trying to find their place in a white male-dominated academic world. The first is of historical Russian mathematician Sofia Kovalevskaya, who was lauded as a pioneer for women in science but only after years of struggle for recognition. Her life's journey is told through music and movement, in both…
Wed, 03/20/2019 - 9:45am
Colloquium/Conversation/Performance at the Dancz Center for New Music, Hugh Hogson School of Music In live musical performance and open discussion, Marcus Miller and Rob Schneiderman demonstrate/explain analogies between the dynamics of the discovery/creation/learning of both Music and Mathematics. As a consequence of the abstract natures of Music and Mathematics these analogies can provide insight into other human disciplines. Marcus Miller…
Fri, 09/04/2015 - 2:54pm
NASA Ames CubeSat Missions:  A Short History of Nearly Everything and a Glimpse of the Future NASA Ames Research Center has been a leading NASA advocate for CubeSat for a number of years, conducting a spectrum of missions including astrobiology (Pharma-Sat) to innovative low cost technology demonstrations, such as PhoneSat.  Through the successful flights of dozens of these nanosatellites from Ames, many lessons have been learned, discoveries…