Biography
I am an NSF Graduate Research Fellow in my fifth year as a mathematics PhD student at the University of Illinois at Urbana-Champaign. I am interested in algebraic combinatorics, and my advisor is Alexander Yong. I am a co-organizer for the University of Illinois Algebra-Geometry-Combinatorics Seminar.
Research Interests
Algebraic Combinatorics
Research Description
In algebraic combinatorics, I am interested in Schubert calculus as well as related problems in geometry, representation theory, and computational complexity.
Education
B.S., Mathematics, Louisiana State University, conferred May 2016
M.S., Mathematics, University of Illinois at Urbana-Champaign, conferred May 2018
Ph.D., Mathematics, University of Illinois at Urbana-Champaign, in progress
Courses Taught
F17: Math 220 Merit section AD3
Sp18: Math 231 Merit section AD2
Highlighted Publications
Journal Articles
Rajchgot, Jenna, Yi Ren, Colleen Robichaux, Avery St. Dizier, and Anna Weigandt. "Degrees of symmetric Grothendieck polynomials and Castelnuovo-Mumford regularity." arXiv, no. 1912.04477, 2019.
Robichaux, Colleen, Harshit Yadav, and Alexander Yong. "Equivariant cohomology, Schubert calculus, and edge labeled tableaux." arXiv, no.1908.11224, 2019.
Robichaux, Colleen, Harshit Yadav, and Alexander Yong. "The A.B.C.Ds of Schubert calculus." arXiv, no. 1906.03646, 2019.
Adve, Anshul, Colleen Robichaux, and Alexander Yong. "Vanishing of Littlewood-Richardson polynomials is in P." Computational Complexity, vol. 28, no. 2, 2019, p. 241--257.
Adve, Anshul, Colleen Robichaux, and Alexander Yong. "Complexity, Combinatorial Positivity, and Newton Polytopes." arXiv , no. 1810.10361, 2018.
Gaetz, Christian, Michelle Mastrianni, Rebecca Patrias, Hailee Peck, Colleen Robichaux, David Schwein, and Ka Yu Tam. "K-Knuth Equivalence for Increasing Tableaux." The Electronic Journal of Combinatorics, vol. 23, no. 1, 2016.