Biography
I am an NSF Graduate Research Fellow in my sixth year as a mathematics PhD student at the University of Illinois at Urbana-Champaign. I am interested in algebraic combinatorics and Schubert calculus, 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
I am interested in algebraic combinatorics and Schubert calculus.
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
Colleen Robichaux, Harshit Yadav, and Alexander Yong. "Equivariant cohomology, Schubert calculus, and edge labeled tableaux," to appear in Facets of Algebraic Geometry: A Volume in Honour of William Fulton's 80th Birthday, Cambridge University Press, London Mathematical Society Lecture Note Series.
Jenna Rajchgot, Yi Ren, Colleen Robichaux, Avery St. Dizier, and Anna Weigandt. "Degrees of symmetric Grothendieck polynomials and Castelnuovo-Mumford regularity," Proceedings of the American Mathematical Society, 149 (2021) no. 4, 1405--1416.
Anshul Adve, Colleen Robichaux, and Alexander Yong. "An efficient algorithm for deciding vanishing of Schubert polynomial coefficients," Advances in Mathematics, Vol. 383 (2021).
Colleen Robichaux, Harshit Yadav, and Alexander Yong. "The A.B.C.Ds of Schubert calculus," Séminaire Lotharingien de Combinatoire B85a (2020), 12 pp.
Anshul Adve, Colleen Robichaux, and Alexander Yong. "Vanishing of Littlewood-Richardson polynomials is in P." Computational Complexity, vol. 28, no. 2, 2019, p. 241--257.
Anshul Adve, Colleen Robichaux, and Alexander Yong. "Complexity, Newton Polytopes, and Schubert polynomials," Proceedings of the 31st Conference on Formal Power Series and Algebraic Combinatorics (Ljubljana), Séminaire Lotharingien de Combinatoire 82B (2019), Article #52, 12pp.
Christian Gaetz, 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.