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Carlos Arreche

Carlos Arreche

Assistant Professor - Mathematical Sciences
 
972-883-6594
FO 2.408D
Personal webpage
ORCID
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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

Research Areas

Differential Algebraic Geometry
Symbolic Computation
Algebraic Theory of Differential and Difference Equations
Galois Theories

Publications

Computing discrete residues of rational functions 2024 - Conference Paper
Twisted Mahler Discrete Residues 2024 - Other
NORMAL REFLECTION SUBGROUPS OF COMPLEX REFLECTION GROUPS 2023 - Journal Article
Computing differential Galois groups of second-order linear q-difference equations 2022 - Journal Article
Mahler Discrete Residues and Summability for Rational Functions 2022 - Other
Normal Reflection Subgroups of Complex Reflection Groups 2021 - Journal Article
Differential transcendence criteria for second-order linear difference equations and elliptic hypergeometric functions 2021 - Journal Article
NORMAL REFLECTION SUBGROUPS OF COMPLEX REFLECTION GROUPS 2021 - Journal Article

Awards

Outstanding Teaching Award for Tenure-Track Faculty - School of Natural Sciences and Mathematics, The University of Texas at Dallas [2021]
ISSAC Distinguished Student Author Award - Special Interest Group in Symbolic and Algebraic Manipulation, Association for Computing Machinery [2014]

Appointments

Associate Professor of Mathematics
The University of Texas at Dallas [2024–Present]
Assistant Professor of Mathematics
The University of Texas at Dallas [2017–2024]
NSF Alliance Postdoctoral Fellow
North Carolina State University [2014–2017]

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.