Ph.D. - Mathematics
City university of New York - 2014
Carlos Arreche
Assistant Professor - Mathematical Sciences
Professional Preparation
M.Phil. - Mathematics
City University of New York - 2012
City University of New York - 2012
M.A.St. - Pure Mathematics
University of Cambridge - 2009
University of Cambridge - 2009
A.B. - Mathematics
Princeton University - 2008
Princeton University - 2008
Research Areas
Differential Algebraic Geometry
Symbolic Computation
Algebraic Theory of Differential and Difference Equations
Galois Theories
Publications
Computing differential Galois groups of second-order linear q-difference equations 2022 - Journal Article
Differential transcendence criteria for second-order linear difference equations and elliptic hypergeometric functions 2021 - Journal Article
Normal Reflection Subgroups 2020 - Conference Paper
Galois groups for integrable and projectively integrable linear difference equations 2017 - Journal Article
Computation of the difference-differential Galois group and differential relations among solutions for a second-order linear difference equation 2016 - Journal Article
On the computation of the parameterized differential Galois group for a second-order linear differential equation with differential parameters 2016 - Journal Article
Computation of the unipotent radical of the differential Galois group for a parameterized second-order linear differential equation 2014 - 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
Assistant Professor of Mathematics
The University of Texas at Dallas [2017–Present]
The University of Texas at Dallas [2017–Present]
NSF Alliance Postdoctoral Fellow
North Carolina State University [2014–2017]
North Carolina State University [2014–2017]