3 citations · 9 across the 10 of their papers we have counts for
10 papers
Mod gamma factors and a converse theorem for finite general linear groups
Jacksyn Bakeberg, Mathilde Gerbelli-Gauthier, Heidi Goodson +3
The local converse theorem for Rankin-Selberg gamma factors of proved by Piatetski-Shapiro over no longer holds after reduction modulo $\…
The Harris-Venkatesh conjecture for derived Hecke operators II: a unified Stark conjecture
Robin Zhang
We prove a compatibility theorem between the Stark conjecture and the Harris-Venkatesh conjecture for imaginary dihedral modular forms of weight . The key technical input is a g…
The Harris-Venkatesh conjecture for derived Hecke operators III: local constants
Robin Zhang
The first two papers in this series prove the Harris-Venkatesh conjecture on derived Hecke operators and its refinement with the Stark conjecture for imaginary dihedral modular for…
The Harris-Venkatesh conjecture for derived Hecke operators I: imaginary dihedral forms
Robin Zhang
The Harris-Venkatesh conjecture relates the action of derived Hecke operators on weight-one modular forms to algebraic units. We introduce the Harris-Venkatesh period, defined on a…
The conjecture, uniform boundedness, and dynamical systems
Robin Zhang
We survey Vojta's higher-dimensional generalizations of the conjecture and Szpiro's conjecture as well as recent developments that apply them to various problems in arithmeti…
Modular Gelfand pairs and multiplicity-free representations
Robin Zhang
We give a generalization of Gelfand's criterion on the commutativity of Hecke algebras for Gelfand pairs and multiplicity-free triples over algebraically closed fields of arbitrary…
A Galois-dynamics correspondence for unicritical polynomials
Robin Zhang
In an analogy with the Galois homothety property for torsion points of abelian varieties that was used in the proof of the Mordell-Lang conjecture, we describe a correspondence bet…
Section rings of -divisors on minimal rational surfaces
Aaron Landesman, Peter Ruhm, Robin Zhang
We give bounds on the degree of generation and relations of section rings associated to arbitrary -divisors on projective spaces of all dimensions and Hirzebruch surfac…
Spin canonical rings of log stacky curves
Aaron Landesman, Peter Ruhm, Robin Zhang
Consider modular forms arising from a finite-area quotient of the upper-half plane by a Fuchsian group. By the classical results of Kodaira-Spencer, this ring of modular forms may…
On quadratic periodic points of quadratic polynomials
Zhiming Wang, Robin Zhang
Bounding the number of preperiodic points of quadratic polynomials with rational coefficients is one case of the Uniform Boundedness Conjecture in arithmetic dynamics. Here, we pro…