Matthew Mastroeni

Research

Teaching

CV

About Me

I am a Postdoctoral Fellow in the department of mathematics at Oklahoma State University working in commutative algebra. I received my Ph.D. from the University of Illinois at Urbana-Champaign in 2018, where I was advised by Hal Schenck.

Contact Information

  • Email: mmastro "at" okstate "dot" edu
  • Office: 524 Math Sciences Building

Research

I am interested in computational and homological aspects of commutative algebra, especially the structure of free resolutions. Most recently, I have been studying the minimal free resolutions of commutative Koszul algebras.

  1. Non-Koszul quadratic Gorenstein rings via idealization (with H. Schenck and M. Stillman) Submitted.
    We negatively answer a question of Conca, Rossi, and Valla about whether every quadratic Gorenstein ring of regularity 3 is Koszul by using idealization to construct non-Koszul quadratic Gorenstein rings of regularity 3 for every codimension greater than or equal to 9.
  2. Koszul almost complete intersections J. Algebra 501 (2018), 285-302.
    We prove a structure theorem for the defining ideals of Koszul almost complete intersections and, in the process, give an affirmative answer for all such rings to a question of Avramov, Conca, and Iyengar about the Betti numbers of Koszul algebras.
  3. Matrix factorizations and singularity categories in codimension two Proc. Amer. Math. Soc. 146 (2018), no. 11, 4605–4617.
    We show how to functorially connect the Eisenbud-Peeva matrix factorizations of a complete intersection of codimension two to its singularity category by way of the graded matrix factorizations of Burke and Walker.

Teaching

Current Semester
  • Math 2144: Calculus 1
University of Illinois
  • Math 124: Finite Mathematics (Spring 2018)
  • Math 221: Calculus 1 (Fall 2016, Fall 2015)
  • Math 231: Calculus 2 (Fall 2017, Spring 2016, Spring 2015, Fall 2014, Spring 2014, Spring 2013, Fall 2012)
  • Math 241: Calculus 3 (Fall 2013)
Syracuse University
  • MAT 221: Elementary Probability and Statistics 1 (Fall 2011, Spring 2011)
  • MAT 286: Calculus for the Life Sciences (Spring 2012)