Ph.D. in Mathematics, University of California, Santa Barbara (December 2009)
Dissertation: Hex Structures on Singular Euclidean Surfaces with Conical Singularities.
Certificate in College and University Teaching, University of California, Santa Barbara (December 2009)
Summer Teaching Institute for Associates Certificate, University of California, Santa Barbara (Summer 2007)
Master's Degree in Mathematics, University of California, Santa Barbara (December 2005)
Bachelor's Degree in Mathematics, University of Guanajuato and Center for Mathematical Research (CIMAT), Mexico (August 2003)
Research Interests/Scholastic Profile
I am interested in low-dimensional topology and geometry, especially in geometric structures on 2- and 3-manifolds. Currently, I have been using a geometric complexity function to study topological and Riemann surfaces as branched covers of the Riemann sphere. I am also interested in exploring the connections of that complexity function to the classical Hurwitz problem.
Courses Taught at Texas Wesleyan
MAT-1302: College Algebra
MAT-1303: Precalculus
MAT-1305: Advanced Foundations of Mathematics for Teachers
MAT-1310: Mathematics for Business and Economic Analysis
MAT-1324: Calculus I
MAT-1325: Calculus II
MAT-2331: Calculus III
Publications
Generalizations of Hyperbolic Area for Topological Surfaces. Rev. Un. Mat. Argentina 59 (2018) 431–441.
An elementary upper bound for the number of generic quadrisecants of polygonal knots (with T. Ramirez-Rosas.) Appl. Math. E-Notes, 17 (2017) 157–163.
The Complexity of Riemann Surfaces and the Hurwitz Existence Problem (with T. Ramirez-Rosas.) Bull. Austral. Math. Soc. 87 (2013) 131–138.