Welcome to my website. I am a postdoc in the research group of Sen-Peng Eu at National Taiwan Normal University.
I graduated from Indiana University in 2025 with a PhD in Mathematics. My advisor was Mihai Ciucu. Before that, I was a research assistant in the Institute of Mathematics, Academia Sinica and the National Center for Theoretical Science in Taiwan, under the supervision of Shun-Jen Cheng. I was an undergraduate student at the National Central University in Taiwan.
Here is my CV (last updated: Jan. 15, 2026).
I can be reached at yillee@ntnu.edu.tw yillee[at]iu[dot]edu.
My research interests are in algebraic, dynamical, and enumerative combinatorics. Currently, I am establishing connections between tilings and symmetric polynomials and developing techniques for enumerating weighted tilings. Additionally, I am studying the structure of combinatorial objects under a group action or an operator. I am also interested in combinatorial models that arise from representation theory and statistical mechanics. I am working on:
more applications to the Lindström-Gessel-Viennot theorem.
connections between domino/lozenge tilings and symmetric polynomials.
symmetry classes of combinatorial objects.
operators from dynamical algebraic combinatorics (promotion, evacuation, rowmotion,...)
Publications and Preprints
9. Enumeration of pattern-avoiding (0,1)-matrices and their symmetry classes. Submitted.
with Sen-Peng Eu
8. Block diagonally symmetric lozenge tilings. Submitted.
with Seok Hyun Byun
7. Domino Tilings, Domino Shuffling, and the Nabla Operator. Submitted.
with Ian Cavey
6. Promotion, Tangled Labelings, and Sorting Generating Functions.
with Margaret Bayer, Herman Chau, Mark Denker, Owen Goff, Jamie Kimble, and Jinting Liang
Order 43, 1 (2026). arxiv.org/abs/2411.12034
5. Propp’s benzels and Lai’s nearly symmetric hexagons with holes.
with Seok Hyun Byun and Mihai Ciucu
Electron. J. Combin. 32 (2025), no. 4, Paper No. 4.35, 58 pp. arxiv.org/abs/2406.18419
4. Off-diagonally symmetric domino tilings of the Aztec diamond of odd order.
Adv. in Appl. Math. 161 (2024), Paper No. 102759, 35 pp. arxiv.org/abs/2404.09057
3. Off-diagonally symmetric domino tilings of the Aztec diamond.
Electron. J. Combin. 30 (2023), no. 4, Paper No. 4.20, 30 pp. arxiv.org/abs/2303.02750
2. An extension of the Lindström-Gessel-Viennot theorem.
Electron. J. Combin. 29 (2022), no. 2, Paper No. 2.41, 31 pp. arxiv.org/abs/2112.06115
1. Skew standard domino tableaux and partial Motzkin paths.
with Ting-Yuan Cheng, Sen-Peng Eu, and Tung-Shan Fu
Ann. Comb. 21 (2017), no. 1, 43–71.
Peer-reviewed conference proceedings
Domino Tilings and Macdonald Polynomials. Contributed poster
With Ian Cavey.
Séminaire Lotharingien Combinatoire 93B (2025), Article #80.
Proceedings of the 37th Conference on Formal Power Series and Algebraic Combinatorics, Hokkaido, Japan
Other writings
GRWC 2023 - proposed research problem.
An extension of the Jacobi-Trudi identity from the lattice paths viewpoint.
Contributed and Invited Talks
July, 2026 (scheduled), New-sprout Symposium for Young Combinatorists, Soochow University (東吳大學)
Spring 2026 (scheduled), Colloquium, National Chengchi University (政治大學)
May 12, 2026 (scheduled), Colloquium, National Yang Ming Chiao Tung University (陽明交通大學)
Apr. 3, 2026 (scheduled), One-Day Workshop in Enumerative/Algebraic Combinatorics, NTNU (臺灣師範大學)
Mar. 19, 2026 (scheduled), Colloquium, National Central University (中央大學) (Slides)
Jan. 22, 2026, TMS Annual Meeting (discrete mathematics), National Chung Cheng University (中正大學) (Slides)
Dec. 17, 2025, Taipei Postdoc Seminar, NCTS (Slides)
Nov. 27, 2025, Colloquium, National Central University (中央大學) (Slides)
Nov. 20, 2025, Colloquium, National Kaohsiung Normal University (高雄師範大學) (Slides)
Oct. 22, 2025, Colloquium, National University of Kaohsiung (高雄大學) (Slides)
Aug. 2025, New-sprout Symposium for Young Combinatorists, Fu Jen Catholic University (輔仁大學) (Slides)
June 2025, The 26th Conference of the International Linear Algebra Society, National Sun Yat-sen University (中山大學) (Slides)
Mar. 2025, AMS Spring Southeastern Sectional Meeting, Clemson University (Slides)
Jan. 30, 2025, Algebra-Geometry-Combinatorics Seminar, UIUC (Slides)
June 2024, Early-Career Conference in Combinatorics, UIUC (Slides)
Apr. 2024, Workshop II: Integrability and Algebraic Combinatorics, UCLA (Slides)
Mar. 2024, Graduate Student Combinatorics Conference (GSCC), Carnegie Mellon University (Slides)
Nov. 20, 2023, Algebra and Discrete Mathematics Seminar, Clemson University (Slides)
Oct. 7, 2023, AMS Fall Central Sectional Meeting, Creighton University (Slides - 20 minutes version)
Oct. 4, 2023, Graduate Online Combinatorics Colloquium (GOCC), online (Slides - 50 minutes version)
Aug. 2023, Dimers: Combinatorics, Representation Theory and Physics, CUNY (Slides - 30 minutes version)
June 7, 2023, Combinatorics Colloquium, National Taiwan Normal University (臺灣師範大學)
May 31, 2023, Combinatorics Colloquium, National Taiwan Normal University (臺灣師範大學)
May 2023, Colloquium, National Cheng Kung University (成功大學) (Slides - 50 minutes version)
Apr. 2023, CombinaTexas 2023, Texas A&M University (Slides - 20 minutes version)
Oct. 2022, 34th Midwestern Conference on Combinatorics and Combinatorial Computing, Illinois State University
Sept. 2022, The 5th Mostly Manitoba, Michigan and Minnesota Combinatorics Graduate Students Workshop, Iowa State University
Jun. 2022, Permutation Patterns 2022, Valparaiso University (Slides - 20 minutes version)
Dec. 2020, Combinatorics Colloquium, National Central University (中央大學)
Posters
July 2025, FPSAC 2025, Hokkaido University
Feb. 2024, Enumerative and Algebraic Combinatorics, University of Florida
Aug. 2023, Dimers: Combinatorics, Representation Theory and Physics, CUNY
Seminar Talks
Spring 2026, Combinatorics Seminar, National Taiwan Normal University
Fall 2025, Combinatorics Seminar, National Taiwan Normal University
Dec. 2020, Combinatorics Online Seminar, National Taiwan Normal University
Title: Symmetry classes of domino tilings of the Aztec diamond
Fall 2020, Graduate Student Algebraic Combinatorics Seminar, Indiana University
Title: The Littlewood-Richardson theorem
Title: An introduction to Schur functions
2019-2020, Graduate Student Combinatorics Seminar, Indiana University
Title: An introduction to chromatic polynomials
Title: An introduction to parking functions
Title: An introduction to Young tableaux
Jun. 2019, Seminar on Combinatorics, National Taiwan Normal University
Title: Some aspects of combinatorial tiling theory