Baiying Liu's NSF CAREER Award

03-15-2019

Baiying Liu honored with NSF Career Award. The award is considered one of the most prestigious for promising researchers in science and engineering.

Liu's research project concerns certain problems within the Langlands Program, a program proposed by Robert Langlands in 1960s. The Langlands program is a web of far-reaching and influential conjectures that predicts surprising connections between arithmetic (e.g., properties of integer solutions to polynomial equations) and analysis (e.g., automorphic forms, which are highly symmetric solutions to certain differential equations on symmetric manifolds). The celebrated proof of Fermat's Last Theorem by A. Wiles, for instance, uses early results in the Langlands program proved by Langlands and Tunnell. In another direction, automorphic forms have deep connections with the string theory and the study of black holes in physics. In this project the PI will investigate analytic properties of automorphic forms and their number-theoretic consequences in the Langlands program. The project also integrates educational opportunities, including public outreach lectures, undergraduate and graduate research activities, cross-disciplinary training and research, and graduate curriculum development.

Congratulations to Baiying Liu.