Rank 2 local systems, Barsotti–Tate groups, and Shimura curves

R Krishnamoorthy - Algebra & Number Theory, 2022 - msp.org
We construct a descent-of-scalars criterion for K-linear abelian categories. Using advances
in the Langlands correspondence due to Abe, we build a correspondence between certain …

Periodicity of Hitchin's Uniformizing Higgs Bundles

R Krishnamoorthy, M Sheng - … Mathematics Research Notices, 2024 - academic.oup.com
Periodicity of Hitchin’s Uniformizing Higgs Bundles | International Mathematics Research
Notices | Oxford Academic Skip to Main Content Advertisement Oxford Academic Journals …

On self-correspondences on curves

J Bellaïche - Algebra & Number Theory, 2023 - msp.org
We study the algebraic dynamics of self-correspondences on a curve. A self-
correspondence on a (proper and smooth) curve C over an algebraically closed field is the …