Peter Samuelson

I am an associate professor of mathematics at UC Riverside. My research centers around the intersection of representation theory and low-dimensional topology, and includes objects such as Hecke algebras, Hall algebras, character varieties, and knot invariants.

Here is a link to my CV.

If you are a student, all materials for all my classes are on eLearn.

My email address is "psamuels", a common symbol, then ``ucr.edu''.

I sometimes organize various Seminars at UCR, and that page has schedules, titles, and abstracts, both old and new.

Carl Mautner and I organized a mini-conference at UCR in December 2018.

Papers

The Temperley-Lieb tower and the Weyl algebra arXiv (with M. Harper) (preprint) (JLMS 2025, doi)
The Kauffman skein algebra of the torus arXiv (with H. Morton, A. Pokorny) (IMRN 2023, doi)
On the genus two skein algebra. arXiv (with J. Cooke) (JLMS 2021, doi)
DAHAs and skein theory arXiv (with H. Morton) (Communications in Mathematical Physics 2021, doi )
Cyclotomic expansions of generalized Jones polynomials. arXiv (with Y. Berest, J. Gallagher) (Letters in Mathematical Physics 2021, doi)
The Hall algebras of annuli. arXiv (with B. Cooper) (Mathematical Research Letters 2021, doi)
Hall algebras of Surfaces I. arXiv (with B. Cooper) (J. Inst. Math Jussieu, 2020, doi)
The elliptic Hall algebra and the deformed Khovanov Heisenberg category. arXiv (with S. Cautis, A. Lauda, A. Licata, J. Sussan) (Selecta, 2018, doi)
Affine cubic surfaces and character varieties of knots. arXiv (with Y. Berest) (Journal of Algebra, 2018 doi)
The HOMFLYPT skein algebra of the torus and the elliptic Hall algebra. arXiv (with H. Morton) (Duke, 2017, doi)
Iterated torus knots and double affine Hecke algebras. arXiv (IMRN, 2019, doi)
Double affine Hecke algebras and generalized Jones polynomials. arXiv (with Y. Berest) (Compositio, 2016, doi)
Character algebras of decorated SL_2(C)-local systems. arXiv (with G. Muller.) (Algebr. Geom. Topol. 2013, doi)
Rational Cherednik alegbras and quasi-invariants of complex reflection groups. arXiv (with Y. Berest.) (22 pages.) (Mathematical aspects of quantization, 2012.)
On CAT(0) structures for free-by-cyclic groups MathSciNet (Topology Appl., 2006, doi)

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