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Gabriel Frieden

I am a postdoctoral fellow at LaCIM, the combinatorics research group at l'Université du Québec à Montréal (UQAM). I completed my Ph.D. at the University of Michigan under the supervision of Thomas Lam. My research is in algebraic combinatorics, with a focus on combinatorial objects coming from representation theory.

Email: gabriel (dot) frieden (at) lacim (dot) ca
CV: here


Publications:
Affine type A geometric crystal on the Grassmannian. Journal of Combinatorial Theory, Series A 167 (2019) 499-563 (arXiv)
A ratio of alternants formula for loop Schur functions. Journal of Combinatorics 11 (2020), no. 2, 359-376 (arXiv)
The geometric R-matrix for affine crystals of type A. Advances in Mathematics, to appear (arXivextended abstract)

Submitted Papers:
qRSt: A probabilistic Robinson--Schensted correspondence for Macdonald polynomials (with Florian Aigner) (arXiv)
An affine generalization of evacuation (with Michael Chmutov, Dongkwan Kim, Joel Lewis, and Elena Yudovina) (arXiv)

Ph.D. Thesis:
Geometric lifting of affine type A crystal combinatorics (pdf)




Slides from talks:
"Geometric lifting of affine crystal combinatorics" at Cornell University, November 2017




Teaching:
(at UQAM)
Math 7431--Geometry and combinatorics (for graduate students): W20

(at McGill University)
Math 123--Linear algebra and probability (for business majors): F19

(at University of Michigan)
Co-coordinator for Math 115 (differential calculus): F15
Math 115 (differential calculus): F12, F14
Math 116 (integral calculus): W13, F13, W14, W17
GSI (= TA) for Math 489 (geometry for future elementary and middle school teachers): W15





Last updated: January 15, 2021