J. Simental

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20112026

most citedCharacterizing rings in terms of the extent of injectivity and projectivity of their modules

33 citations · 65 across the 22 of their papers we have counts for

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math.RT2023

Calibrated representations of the double Dyck path algebra

Nicolle González, Eugene Gorsky, José Simental

The double Dyck path algebra $A_{q, t}$ and its polynomial representation first arose as a key figure in the proof of the celebrated Shuffle Theorem of Carlsson and Mellit.…

math.RT2023

Cluster algebras in Lie and Knot theory

Mikhail Gorsky, José Simental

This is a survey article on some connections between cluster algebras and link invariants, written for the Notices of the AMS.

math.CO2023

Higher rank $(q, t)$ -Catalan polynomials, affine Springer fibers, and a finite Rational Shuffle Theorem

Nicolle González, José Simental, Monica Vazirani

We introduce the higher rank $(q, t)$ -Catalan polynomials and prove they equal truncations of the Hikita polynomial to a finite number of variables. Using affine compositions and a…

Calibrated representations of the double Dyck path algebra

Cluster algebras in Lie and Knot theory

Higher rank (q,t)-Catalan polynomials, affine Springer fibers, and a finite Rational Shuffle Theorem

Higher rank $(q, t)$ -Catalan polynomials, affine Springer fibers, and a finite Rational Shuffle Theorem