Curves whose Newton polygons have many slopes of 1/2.
Professor Rachel Pries
Colorado State University
Barton Lectures in Computational Mathematics
Date: Wednesday, January 27, 2021
Time: 4:00 pm - 5:00 pm
Location: Virtual through Zoom
Professor Rachel Priest obtained her Ph.D. in Mathematics from the University of Pennsylvania in 2000. After holding a National Science Foundation VIGRE Postdoctoral position at Columbia University from 2000-2003, she joined the faculty at Colorado State University. Dr. Pries was elected to the 2018 class of fellows of the American Mathematical Society, and she serves on the Steering Committee of Women in Number Theory (WIN), a research collaboration community for women mathematicians interested in number theory. Her research interests are in arithmetic geometry, which is a hybrid of number theory and algebraic geometry, specifically, about moduli spaces of curves and abelian varieties, and Galois theory for curves.
Abstract: In this talk, I will first explain the difference between ordinary and supersingular elliptic curves. There are some fascinating open conjectures about supersingular curves and more generally Newton polygons of curves. Finally, I will describe some of my recent work about curves whose Newton polygons contain many slopes of 1/2. Some of this talk includes joint work with Li, Mantovan, and Tang.