my face picture

Welcome to Niccolo' Ronchetti's webpage.

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.

I took my Laurea Triennale in Bologna (Italy) in 2010 with the supervision of Rita Fioresi and my Laurea Magistrale in Roma (Italy) in 2012 with the supervision of Corrado De Concini.

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!


Articles

Local Base Change via Tate Cohomology Published in Representation Theory - an electronic journal of the AMS

A Satake homomorphism for the mod p derived Hecke algebra (preprint - improved version coming soon)


Invited Talks

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


Notes and stuff

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

SAGS talk: Upper bounds for finite subgroups of algebraic groups - May 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


Teaching material

Stanford courses

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 2014, I was a TA for Math 42.

In Winter 2015, I was the CA for Math 152: Elementary Theory of Numbers.

In Summer 2015, I was the Algebra Qual TA mentor.

In Fall 2015, I was the CA for Math 120: Groups and Rings.

In Winter 2015, I was a TA for Math 51.

In Summer 2016, I was a CA for Math 19.

In Fall 2016, I was the Uber TA for Math 51.

In Winter 2017, I was the CA for Math 210B.

In Spring 2017, I was the Uber TA for Math 51.

UCLA courses

In Fall 2017, I am teaching Math1: Precalculus. Stay tuned for more information!


Links

Mathoverflow.net

Terry Tao's blog

math.stackexchange.com

Niccolo' Ronchetti
Office 6617C
Math Science bldg 6363
520 Portola Plaza,
90095 Los Angeles - CA

Niccolo' Ronchetti @ UCLA Math