Robin Zhang

collaborators

5 papers

math.CO2026

On maximal Dynkin friezes

Robin Zhang

The maximal entries of Dynkin friezes over the positive integers have recently been determined for all finite Dynkin types except $B_{n}$ and $D_{n}$ . In this note, we explicitly const…

math.RT2026

Corrigendum to "Modular Gelfand pairs and multiplicity-free representations"

Patrick Allen, Preston Wake, Robin Zhang

Some of the multiplicity-freeness results in ``Modular Gelfand pairs and multiplicity-free representations'' are stated in overly broad generality. We provide counterexamples and p…

math.NT2025

Uniform bounds on periodic points of polynomials with good reduction

Isaac Rajagopal, Robin Zhang

We establish effective bounds on the number of periodic points of degree- $d$ polynomials $I ¨ $ defined over $p$ -adic fields and number fields, under a mild reduction hypothesis that…

math.NT2025

Towards the $p$ -adic derived Hecke algebra for weight one forms

Robin Zhang

This note outlines an approach to defining $p$ -adic Shimura classes and $p$ -adic derived Hecke operators on the completed cohomology of modular curves from upcoming work by the aut…

math.NT2025

A positive Siegel theorem: Dynkin friezes and positive Mordell-Schinzel

Robin Zhang

We determine the number of positive integral points on $n$ -dimensional affine varieties associated to arbitrary $n \times n$ generalized Cartan matrices. An application to the theo…

On maximal Dynkin friezes

Corrigendum to "Modular Gelfand pairs and multiplicity-free representations"

Uniform bounds on periodic points of polynomials with good reduction

Towards the p-adic derived Hecke algebra for weight one forms

A positive Siegel theorem: Dynkin friezes and positive Mordell-Schinzel

Towards the $p$ -adic derived Hecke algebra for weight one forms