Chris Fraser
Email: cmfra@umich.edu
About me:
I am a software engineer at Phaidra.
I got my math PhD at University of Michigan under Sergey Fomin. I subsequently did postdocs at IUPUI, University of Minnesota, and Michigan State University.
Math interests:
Algebraic combinatorics and representation theory, with a focus on cluster algebras and total positivity.
I taught a course on these topics in 2020, the course notes might be a useful reference.
Here are my CV, my arXiv preprints, and my Google scholar page.
Papers and preprints:
11. Web invariants for flamingo Specht modules w/ Rebecca Patrias, Oliver Pechenik, and Jessica Striker
Preprint 2023 | arxiv
10. Relative cluster categories and Higgs categories with infinite-dimensional morphism spaces (Appendix)
w/ Bernhard Keller and Yilin Wu
Prepint 2023 | arxiv
9. Webs and canonical bases in degree two
Combinatorial Theory, to appear| arXiv | slides
8. Tensor diagrams and cluster combinatorics at punctures w/ Pavlo Pylyavskyy
Adv. Math. 2023| arXiv | slides | video | code for computer-assisted proofs
7. Cyclic symmetry loci in Grassmannians
Preprint 2020 | arXiv | slides | video
6. Positroid cluster structures from relabeled plabic graphs w/ Melissa Sherman-Bennett
Algebraic Combin. 2022 | arXiv
5. Quantum affine algebras and Grassmannians w/ Wen Chang, Bing Duan, and Jian-rong Li
4. Tropicalization of positive Grassmannians w/ Ian Le
Selecta Math. 2019 | (arXiv)
3. From dimers to webs w/ Thomas Lam and Ian Le
Trans. Amer. Math. Soc. 2019 | (arXiv) |slides
2. Braid group symmetries of Grassmannian cluster algebras
Selecta Math. 2020 | arXiv |slides
1. Quasi-homomorphisms of cluster algebras
Adv. in Appl. Math. 2016 | arXiv
Slides and videos from talks
Webs and canonical bases in degree two | Cascade Lectures in Combinatorics
Braiding and twisting open positroid varieties | Clusters and braids seminar | AIM program on link homology | video
SLk skein algebras at punctures | Isaac Newton Institute | New developments ... cluster algebras | video
Webs and plabic graphs | Bonn Oberseminar in Representation theory