Avinash Roy
5th-year PhD student,
Avinash Roy
5th-year PhD student,
Email: royavina@msu.edu
Hi! I am a 5th-year PhD student in Mathematics at Michigan State University, working under the supervision of Dr. Igor Rapinchuk. Before joining MSU, I completed an integrated Bachelors and Masters in Science at Indian Institute of Science Education and Research, Pune in 2021.
My research lies broadly in arithmetic geometry and the arithmetic of algebraic groups. I am particularly interested in Galois cohomology, local-global principles, Tate-Shafarevich groups and sets, Brauer groups, and the arithmetic of algebraic groups over function fields. Much of my current work concerns finiteness and local-global questions for algebraic groups, especially groups with toric identity component.Â