David Zywina

David Zywina is an Associate Professor in the Department of Mathematics at Cornell University, part of the College of Arts and Sciences. He holds a Ph.D. from the University of California, Berkeley (2008). His research focuses on number theory and arithmetic geometry, particularly studying compatible Galois representations associated with arithmetic objects like elliptic curves and Drinfeld modules. His work explores the arithmetic properties of these objects and their connections to the Inverse Galois Problem.

Teaching includes advanced courses such as MATH 6370 (Algebraic Number Theory) and MATH 7370 (Topics in Number Theory) in Spring and Fall 2025. He also supervises research and reading projects (MATH 4900/4901).

Publications span topics including class field theory, elliptic curves, and Galois representations. Key works include studies on splitting fields of characteristic polynomials and maximal Galois actions. Zywina’s research bridges abstract algebraic structures with concrete problems in number theory.