Justin Chen

I am currently a Hale postdoc at Georgia Tech, mentored by Anton Leykin. My research interests include commutative algebra, (numerical) algebraic geometry and combinatorics, with a focus on computation particularly with Macaulay2.

I received a Ph.D. in Math in 2018 from the University of California, Berkeley. My advisor was David Eisenbud.

I received a B.S. in Math in 2012 from Purdue University, where I first learned commutative algebra from Bernd Ulrich.

You can reach me at firstname.lastname AT math.gatech.edu. My CV can be found here. My thesis is available here.

Papers (on arXiv)

  • Primary decomposition of modules: a computational differential approach (joint with Yairon Cid-Ruiz), arXiv:2104.03385

  • Computing multiplicity sequences (joint with Youngsu Kim and Jonathan Montaño), arXiv:2103.14175

  • Noetherian Operators in Macaulay2 (joint with Yairon Cid-Ruiz, Marc Härkönen, Robert Krone and Anton Leykin), arXiv:2101.01002

  • Noetherian operators and primary decomposition (joint with Marc Härkönen, Robert Krone and Anton Leykin), arXiv:2006.13881

  • Avoidance and Absorbance (joint with Abolfazl Tarizadeh), arXiv:2006.12332

  • The 4 × 4 orthostochastic variety (joint with Papri Dey), arXiv:2001.10691

  • Free resolutions of function classes via order complexes (joint with Chris Eur, Greg Yang and Mengyuan Zhang), arXiv:1909.02159

  • Computing symmetric determinantal representations (joint with Papri Dey), arXiv:1905.07035, code available at GitHub

  • Computing unit groups of curves (joint with Sameera Vemulapalli and Leon Zhang), arXiv:1808.02742

  • Flat maps to and from Noetherian rings, arXiv:1711.04958

  • Infinite prime avoidance, arXiv:1710.05496

  • Surjections of unit groups and semi-inverses, arXiv:1710.05492

  • Mono: an algebraic study of torus closures, arXiv:1710.04614

  • Closed points on schemes, arXiv:1708.06494

  • Numerical Implicitization (joint with Joe Kileel), arXiv:1610.03034, code available at GitHub

  • Invertible sums of matrices, arXiv:1603.06696

  • Matroids: A Macaulay2 package, arXiv:1511.04618, code available at GitHub

  • Graded-irreducible modules are irreducible (joint with Youngsu Kim), arXiv:1508.07518

  • Teaching at Georgia Tech

  • Math 6122, Commutative Algebra, spring 2021
  • Math 1553, introduction to linear algebra, fall 2020
  • Math 4108, abstract algebra II, spring 2020
  • Math 1553, introduction to linear algebra, fall 2019
  • Math 3406, a second course in linear algebra, spring 2019