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I an Assistant Professor in mathematics at the University of British Columbia. Prior to this, I was an ICERM Research Fellow at Brown University for the Fall 2025 Categorification and Computation in Algebraic Combinatorics semester program. Before this I was at UC Berkeley as Charles B. Morrey Visiting Assistant Professor working with Sylvie Corteel, at UCLA as Presidential Postdoctoral Fellow under the mentorship of Raphaël Rouquier, and at MSRI as a Berlekamp Postdoctoral Fellow for the Higher Categories and Categorification program in Spring 2020. I finished my PhD in 2019 at the University of Southern California under the supervision of Aaron Lauda and Sami Assaf.
Most of my work is in algebraic combinatorics and representation theory, with applications to link homology theory.
Published Papers and Pre-Prints
- A Local Characterization of Unions of Demazure Crystals - with S. Assaf - https://arxiv.org/abs/2512.19814
- Structure and geometry of the tableaux algebra - with S. Daugherty, B. Muniz, P. Ocal, J. Pan, J. Torres - https://arxiv.org/abs/2510.27209
- Pinnacles for Complex Reflection Groups - with A. Burnham-Schmidt - https://arxiv.org/abs/2510.03580
- The elliptic Hall algebra and the double Dyck path algebra - with with E. Gorsky and J. Simental. - https://arxiv.org/abs/2502.16113
- Keys and Evacuation via Virtualization - with O. Azenhas, D. Huang, and J. Torres - https://arxiv.org/abs/2409.12666
- Khovanov-Rozansky homology of Coxeter knots and Schröder polynomials for paths under any line - with C. Caprau, M. Hogancamp and M. Mazin - https://arxiv.org/abs/2407.18123
- Calibrated representations of the double Dyck path algebra- with E. Gorsky and J. Simental. - Mathematische Annalen (2024). https://doi.org/10.1007/s00208-024-02937-2
- Triangular (q,t)-Schröder Polynomials and Khovanov-Rozansky Homology- with C. Caprau, M. Hogancamp, and M. Mazin - Séminaire Lotharingien de Combinatoire (2024), #157
- Mesas of Stirling permutations - with P. Harris, G. Kirby, M. Vega, and B. Tenner - Journal of Combinatorics (Vol. 16, Issue 3 (2025), pp. 387-403) https://arxiv.org/abs/2306.12158
- Higher rank (q,t)-Catalan polynomials, Affine Springer Fibers, and a Finite Rational Shuffle Theorem - with J. Simental and M. Vazirani - Transactions of the AMS 377 (2024), 5087-5127 DOI: https://doi.org/10.1090/tran/9115
- Extremal tensor products of Demazure crystals are direct sums of Demazure crystals- with S. Assaf and A. Dranowski - Séminaire Lotharingien de Combinatoire 89B (2023), Article #12
- Semi-standard parking functions and a finite Shuffle theorem - with J. Simental and M. Vazirani , Séminaire Lotharingien de Combinatoire 89B (2023), Article #84
- Pinnacle sets of signed permutations - with P. Harris, G. Kirby, M. Vega, and B. Tenner - Discrete Math, Vol 346, Issue 7, July 2023,
- Extremal tensor products of Demazure crystals - with S. Assaf and A. Dranowski - Algebras and Representation Theory (2023)
- On Khovanov homology and related invariants - joint with C. Caprau, C. Lee, A. Lowrance, R. Sazdanovic, M. Zhang. - Research Directions in Symplectic and Contact Geometry and Topology, AWMS vol 27. Springer
- Affine Demazure crystals for specialized nonsymmetric Macdonald polynomials - joint with Sami Assaf, Algebraic Combinatorics, Volume 4 (2021) no. 5, pp. 777-793.
- Demazure Crystals for specialized nonsymmetric Macdonald polynomials -joint with Sami Assaf Journal of Combinatorial Theory-Series A Vol 182 (2021)
- Categorical Bernstein Operators and the Boson-Fermion correspondence , Selecta Mathematica 26, Article number: 51 (2020) -
- Crystal graphs, key tabloids, and nonsymmetric Macdonald polynomials, Séminaire Lotharingien de Combinatoire, 80B (2018) Article #81, 12pp.- joint with Sami Assaf.
Current Organizational Activities
Current Organizational Activities
In Fall 2025 will be organizing a semester on Categorification and Computation in Algebraic Combinatorics at ICERM alongside Chris Bowman, Nicolas Liebedinsky, Lauren Williams, Greta Panova, Rosa Orellana, Kyu-Hwan Lee, Jamie Vicary, Anna Schilling, and Adam Wagner. Information on how to participate is here.
Some Past Events:
I organized the 2024-2025 UC Berkeley Combinatorics Research Seminar with John Leftner, Mitsuki Hanada, and Christian Gaetz. Updated schedule of talks is available here.
In Fall 2023 I organized the combinatorics reading seminar at UC Berkeley on Quantum Groups and Crystal Graphs. Website is here.
I organized an in person workshop on Algebra, geometry, and combinatorics of link homology at the American Institute of Math with Eugene Gorsky, Matt Hogancamp, Oscar Kivinen, and Alexei Oblomkov in Summer 2023. Information is HERE. Previously, we organized a related online research community. Recordings of that can be found here.
Im Spring 2023 co-organized the combinatorics reading seminar at UC Berkeley alongside Chris Ryba on the Okounkov-Vershik approach to the representation theory of the symmetric group. For the reading schedule, notes, and information click HERE.
I organized a conference on Field theories and vertex algebras with Raphaël Rouquier on October 2-5th 2022. Website is HERE.
I organized a learning seminar on categorification with Ben Elias, Mikhail Khovanov and Melissa Zhang. Previous recordings of the talks can be found HERE.
I am co-organized a special session at the 2021 Mathematical Congress of the Americas focused on "Categorification, Higher Representation Theory, and Homological Link Invariants" with Matt Hogancamp and Karina Batistelli on July 19-24, 2021.
I co-organized the UC Riverside Diversity and Excellence Workshop focused on Women in Combinatorics and Representation Theory alongside Vyjayanthi Chari and Zajj Daugherty on May 15-16, 2021. For more information visit the website HERE.
In Fall 2020 I co-organized the combinatorics reading seminar at UC Berkeley alongside Foster Tom and Sylvie Corteel on q,t-Catalan numbers, diagonal harmonics, and the combinatorics behind the Shuffle conjecture. For the reading schedule, notes, videos, and information click HERE.
Upcoming Schedule
Upcoming Schedule
(for upcoming talks click here)
July 28 - Aug 2, 2024 Combinatorics and Geometry of Moduli Spaces of Curves- BIRS, Canada
July 15-19, 2024 Diagrammatic Intuition and Deep Learning in Mathematics- York University, UK
May 4-6, 2024 AMS Sectional Meeting - San Francisco State, special sessions on ''Diagrammatic Algebras in Representation Theory and Beyond'' and ''Groups and Representations''.
April 11-14, 2024 Gone Fishing 2024- Northwestern University
Jan 26-28, 2024 Combinatorial Algebra meets Algebraic Combinatorics - LACIM Montreal, Canada
Jan 7-12, 2024 Community in Algebraic and Enumerative Combinatorics - BIRS, Canada
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