Adam LaClair
Graduate student
Department of Mathematics
University of Nebraska, Lincoln
Email: alaclair2@unl.edu
Adam LaClair
Graduate student
Department of Mathematics
University of Nebraska, Lincoln
Email: alaclair2@unl.edu
I graduated from Purdue University in Spring 2025, where I was advised by Professor Uli Walther. I am currently an NSF RTG postdoc at the University of Nebraska, Lincoln. My research interests are in commutative algebra, combinatorics, and their interactions.
Papers
F-Purity of Binomial Edge Ideals, (with J. McCullough), (submitted).
Koszul Binomial Edge Ideals, (with M. Mastroeni, J. McCullough, I. Peeva), (submitted).
Koszul Graded Mobius Algebras and Strongly Chordal Graphs (with M. Mastroeni, J. McCullough, I. Peeva), Sel. Math. (N.S.), vol 31 (2025), no. 2, Paper No. 29.
A New Conjecture and Upper Bound on the Castelnuovo–Mumford Regularity of Binomial Edge Ideals, Proc. Amer. Math. Soc., 153 (2025), 3241-3252. DOI 10.1090/proc/17242.
The Matrix Schubert Package for Macaulay2, (with A. Almousa, S. Gao, S. Grate, D. Huang, P. Klein, Y. Luo, J. McDonough), J. Software Algebra Geom., 15-1 (2025), 41--55. DOI 10.2140/jsag.2025.15.41 .
Combinatorics of Castelnuovo–Mumford Regularity of Binomial Edge Ideals, (to appear J. Elec. Comb.).
Invariants of Binomial Edge Ideals via Linear Programs, J. Algebraic Comb., 62, 16 (2025). DOI 10.1007/s10801-025-01439-x.
A Survey on Hadamard Matrices, UT Trace, (2016).
Teaching
Lecturer and Teaching Assistant for the International REU in Commutative Algebra, Guanajuato, Mexico, 2025.
Teaching Assistant for MSRI/SLMATH Summer School 2023, Commutative Algebra and its Interaction with Algebraic Geometry
At University of Nebraska, Lincoln:
Instructor for Math 309, Introduction to Proofs (Fall 2025)
At Purdue University:
Instructor for Math 16010, Calculus I (Fall 2024)
TA Math 26100, Calculus 3 (Fall 2019, Spring 2020, Fall 2021)
TA Math 16100, Calculus 1 (Spring 2019)
TA Math 16600, Calculus 2 (Fall 2017)
Math Resource Room Assistant (Fall 2022)
Grader Math 51100, Graduate Linear Algebra (Spring 2025)
Grader Math 27900, (Modern Mathematics in Science and Society) and Math 15800 (Calculus I) (Spring 2024)
Grader Math 52700, Graduate Linear Algebra & Diff. Eqns. (Spring 2022)
Grader Math 35100, Linear Algebra (Spring 2021)
Grader for Math 26600, Differential Equations (Fall 2020)
Curriculum Vitae
Link to curriculum vitae.