Carlos Arreche

Assistant Professor - Mathematical Sciences
arreche@utdallas.edu
972-883-6594
FO2410C
Tags: differential algebraic geometry symbolic computation algebraic theory of differential and difference equations Galois theories

Professional Preparation

Ph.D. - Mathematics
City university of New York - 2014
M.Phil. - Mathematics
City University of New York - 2012
M.A.St. - Pure Mathematics
University of Cambridge - 2009
A.B. - Mathematics
Princeton University - 2008

Awards

NSF Alliance Postdoctoral Fellowship - [2017]
NSF Alliance Postdoctoral Fellowship - [2016]
NSF Alliance Postdoctoral Fellowship - [2015]
ISSAC Distinguished Student Author - [2014]
NSF Alliance Postdoctoral Fellowship - [2014]

Funding

Computation of functional relations among solutions of difference and differential equations
$203,416 - National Science Foundation [2018/10–2021/09]
This project will develop algorithms to automatically discover functional properties of solutions of differential or difference equations by looking for symmetries encoded in a geometric object called the Galois group.