Maseeh Mathematics + Statistics Colloquium: Galois orbits of modular forms
Friday, February 7, 2020 - 3:15pm

 The Maseeh Mathematics and Statistics Colloquium Series*




 Kimball Martin, Ph.D.

University of Oklahoma


Galois orbits of modular forms



Modular forms are fundamental objects in number theory and arithmetic geometry. There is a natural decomposition of modular forms into Galois orbits, which tells us about rationality properties of modular forms. We will explain some conjectures and results about the sizes of these Galois orbits. This is intimately related to the existence of geometric objects such as elliptic curves and abelian varieties, as well as to zeroes of L-functions.



Kimball Martin received his Ph.D. from Cal Tech, did his post-doc work at Columbia University and is now faculty in the Department of Mathematics at the University of Oklahoma.

His primary interests lie at the intersection of number theory and algebra, particularly understanding and discovering algebraic structures in arithmetic, and connecting different types of structures (modular forms, automorphic representations, representations of p-adic groups, L-functions, quaternion algebras, algebraic groups, elliptic curves, ...). Much of this is done with group theory, representation theory, and/or harmonic analysis. He has also done some things with graph theory, combinatorial optimization and spectral geometry.



Friday, February 07, 2020 at 3:15pm

Fariborz Maseeh Hall room B128
1855 SW Broadway

Light refreshments served


The faculty host of this speaker is Dr. Liubomir Chiriac