Denise Rangel-Tracy

Visiting Assistant Professor


Denise Rangel Tracy received her Ph.D. in mathematics from the University of Texas Arlington in 2014. Her primary area of research is in the use of homological methods in commutative algebra and the study of representation theory.


Ph.D. Mathematics, August 2014
University of Texas at Arlington
Dissertation title: Representation Theory of Totally Reflexive Modules over non-Gorenstein Rings
Dissertation advisor: Dr. David A. Jorgensen

M.A. Mathematics, May 2010
University of North Carolina at Greensboro
Thesis title: Elliptic Curves and Factoring
Thesis advisor: Dr. Paul Duvall

B.S. Mathematics, August 2008
University of North Carolina at Greensboro

Courses Taught

  • MATH 153: Linear Mathematical Analysis
  • MATH 285: Calculus III
  • Research
    • Commutative algebra
    • Homological algebra
    • Representation theory
  • Publications and Scholarly Activities
    • Filtrations of Totally Reflexive Modules. arXiv: 1410.0732. Accepted, Sept. 2015, Communications in Algebra.
    • A Description of the Isomorphism Classes of Totally Reflexive Modules Over a Class of Rings. arXiv: 1510.04922 (Oct 2015).
    • Generation of Koszul homology. Joint with A. Croll, R. Dellaca, J. Hoffmeier, L. Sega, G. Sosa, P. Thompson (Preprint).
  • Professional Experience and Memberships
    • Philip T. Church Postdoctoral Fellow Syracuse University, August 2014-May 2016
    • Member of:
      • Association for Women in Mathematics (AWM)
      • American Mathematical Society (AMS)
      • Society for Advancement of Chicanos/Hispanics and Native Americas in Science (SACNAS) 
  • Honors, Awards, and Grants
    • AWM travel grant, March 2016
    • Dissertation Fellowship from the College of Science at UT Arlington, Summer 2014
    • Outstanding Graduate Student Award at the UT Arlington, May 2014