Hi all! I am a Hedrick Assistant Adjunct Professor at UCLA.
Previously, I was a graduate student at Stanford University, where I completed my PhD in 2017 under the guidance of Akshay Venkatesh. My interests lie broadly speaking in algebraic number theory and representation theory. My work has mostly focused on arithmetic questions related to representation of p-adic groups, and I am particularly interested in Langlands program, especially the mod p and p-adic perspectives.
On this webpage you will find some notes I wrote for various talks, some teaching material and my publications. You can also find links I consider worth mentioning, related (or not) to mathematics.
Feel free to contact me at niccronc [at] m a t h . u c l a . e d u. If you read my notes or papers and find typos/mistakes, please let me know!
A Satake homomorphism for the mod p derived Hecke algebra (preprint - improved version coming soon)
Local base change via Tate cohomology - AMS Special Session on the Langlands program and related topics - Loyola University, Chicago
A Satake homomorphism for the mod p derived Hecke algebra - UCSD number theory seminar
A Satake homomorphism for the mod p derived Hecke algebra - Stanford University number theory seminar
A Satake homomorphism for the mod p derived Hecke algebra - PIMS Focus program on Representations in Arithmetic
My bachelor thesis (Laurea Triennale in Matematica) - July 2010 - Il Diamond Lemma e il teorema di Poincare'- Birkhoff-Witt sugli anelli (in Italian)
My master thesis (Laurea Magistrale in Matematica) - July 2012 - Rappresentazioni Automorfe di GL(2) (in Italian)
Kiddie talk: the Diamond Lemma and its applications - April 2013
Jacquet-Langlands seminars: Supercuspidal Representations - November 2013
Shimura varieties and automorphic vector bundles - very rough notes, February 2017
Unofficial lecture notes from Brian Conrad's 210C class at Stanford in Spring 2013
In Fall 2012, I was the CA for Math 154: Algebraic Number Theory.
In Spring 2013, I was a CA for Math 108: Combinatorics.
In Winter 2014, I was a TA for Math 42.In Spring 2014, I was the CA for Math 122: Modules and Representation Theory.
In Fall 2017, I am teaching Math1: Precalculus. Stay tuned for more information!
Niccolo' Ronchetti @ UCLA Math