Introduction of the new Postdocs

Lisa Sauermann: On counting algebraically defined graphs

For many classes of graphs that naturally arise in discrete geometry, the edges of these graphs can defined using the signs of a given finite list of polynomials. We prove a general result counting the number of such algebraically defined graphs on n vertices (where the polynomials are fixed).

Joonhyun La: Introduction to complex fluids

In this talk, I will briefly introduce my research area – a mathematical study of complex fluids. It is related to both fluid mechanics and kinetic theory, and there are interesting problems in it.

Lynnelle Ye: p-adic automorphic forms

Automorphic forms are a vast generalization of modular forms, certain special holomorphic functions on the upper half of the complex plane which played a key role in the proof of Fermat's Last Theorem by Wiles and Taylor-Wiles. For many purposes, it is particularly important to understand mod-$p$-power congruences between automorphic forms for a prime $p$, and hence to define spaces of automorphic forms with $p$-adic instead of complex coefficients. We will talk about the geometric and numerical properties of these $p$-adic automorphic forms.