3 papers
math.AG2026
Graphs of Hecke operators in mixed ramification
Rudrendra Kashyap, Vladyslav Zveryk
We study Hecke operators on moduli spaces of ramified -bundles using the combinatorial language of Hecke graphs. We introduce a general notion of -ramification in th…
math.AG2026
Eigenforms and graphs of Hecke operators with wild ramification
Rudrendra Kashyap, Vladyslav Zveryk
Hecke operators on moduli of bundles over a global function field become substantially more complicated in the presence of ramification. We show that far enough in the Harder-Naras…
math.RT2026
Invariant Algebraic Connections on Connected Reductive Groups
Rudrendra Kashyap, Ruoxi Li
Let be a connected complex reductive algebraic group. We study finite-rank flat algebraic connections on trivial vector bundles whose connection forms are left invariant, allow…