Research

Publications / Preprints

• α-chromatic symmetric functions, pdf (26 pages) | arXiv:2407.06965

joint with Jim Haglund and Meesue Yoo

• q-deformed Gaussian unitary ensemble: spectral moments and genus-type expansions, pdf (28 pages) | arxiv:2404.03400

joint with Sung-Soo Byun and Peter Forrester, submitted

• Shuffle formula in Science Fiction for Macdonald polynomials, pdf (56 pages) | arxiv:2306.14371

joint with Donghyun Kim and Seung Jin Lee, submitted

• Toward Butler's conjecture, pdf (49 pages) | arxiv:2212.09419

joint with Donghyun Kim and Seung Jin Lee, submitted

• Haglund's conjecture for multi-t Macdonald polynomials, pdf (13 pages)

joint with Seung Jin Lee and Brendon Rhoades

Discrete Mathematics 346(6), 113360, 2023 | arxiv:2203.04590

• A combinatorial model for the transition matrix between the Specht and web bases, pdf (22 pages) 

joint with Byung-Hak Hwang and Jihyeug Jang

Forum of Mathematics, Sigma, Volume 11 , 2023 , e82 | arxiv:2110.08790 

• Macdonald polynomials and cyclic sieving, pdf (13 pages)

European Journal of Combinatorics, 101, 103465, 2022 | arxiv:2102.09982 

• Cyclic sieving and orbit harmonics, pdf (19 pages)

joint with Brendon Rhoades

Mathematische Zeitschrift 300(1), 639-660, 2022 | arxiv:2010.08074

• Dualities and reciprocities on graphs on surfaces, pdf (18 pages)

joint with Woo-Seok Jung

Discrete Mathematics 345(12), 113091, 2022 | arxiv:2005.01590

• On linearization coefficients of q-Laguerre polynomials, pdf (16 pages)

joint with Byung-Hak Hwang, Jang Soo Kim, and Sang-Hoon Yu

The Electronic Journal of Combinatorics 27(2), 1-21, 2020 | arxiv:2001.01930

• Acyclic orientation polynomials and the sink theorem for chromatic symmetric functions, pdf (21 pages)

joint with Byung-Hak Hwang, Woo-Seok Jung, Kang-Ju Lee, and Sang-Hoon Yu

Journal of Combinatorial Theory, Series B 149, 52-75, 2021 | arxiv:1910.10920

• A 2-isomorphism theorem for delta-matroids, pdf (13 pages)

joint with Iain Moffatt

Advances in Applied Mathematics 126, 102133, 2021 | arxiv:1910.04321