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Hello. Welcome to my website!
My name is Seok Hyun Byun and I am a visiting assistant professor at Amherst College. Before then, I was a postdoctoral fellow at Clemson University and my mentor was Professor Svetlana Poznanović. I received my Ph.D. in Mathematics from Indiana University Bloomington and my advisor was Professor Mihai Ciucu.
I am interested in Algebraic and Enumerative Combinatorics and their connection with Statistical Mechanics and Integrable Probability.
You can see my CV here, and you can check my contact information, a list of publications and preprints, and teaching experience below.
<Contact Information>
e-mail: sbyun (at) amherst.edu
<Publications / Preprints>
13. (with Svetlana Poznanović) Unimodality and log-concavity of generalized Glasby-Paseman sequences, [arXiv], submitted.
12. (with Tri Lai) Lozenge tilings of hexagons with intrusions II: shuffling phenomenon [arXiv], submitted.
11. A reflection principle for nonintersecting paths and lozenge tilings with free boundaries [arXiv], submitted.
10. (with Mihai Ciucu) A short combinatorial proof of Di Francesco's conjecture on Aztec triangles [arXiv], Proceedings of the American Mathematical Society 154 (2026), no. 9, 3755-3769 [Journal].
9. (with Yi-Lin Lee) Block diagonally symmetric lozenge tilings [arXiv], European Journal of Combinatorics 138 (2026), 104433 [Journal].
8. (with Wayne Goddard) A note on one-hole domino tilings of squares and rectangles [arXiv], Bulletin of the Institute of Combinatorics and its Applications 107 (2026), 32-43 [Journal].
7. (with Mihai Ciucu and Yi-Lin Lee) Propp's benzels and Lai's nearly symmetric hexagons with holes [arXiv], Electronic Journal of Combinatorics 32 (2025) no. 4, P4.35 [Journal].
6. (with Mihai Ciucu) Perfect matchings and spanning trees: squarishness, bijections and independence [arXiv], submitted.
5. (with Tri Lai) Lozenge tilings of hexagons with intrusions I: generalized intrusion [arXiv], Advances in Applied Mathematics 162 (2025), 102775 [Journal].
4. (with Svetlana Poznanović) On the maximum of the weighted binomial sum [arXiv], Discrete Mathematics 347 (5) (2024), 113925 [Journal].
3. Lozenge tilings of a hexagon with a horizontal intrusion [arXiv], Annals of Combinatorics 26 (2022), 943-970 [Journal].
2. Lozenge tilings of hexagons with holes on three crossing lines [arXiv], Advances in Mathematics 398 (2022), 108230 [Journal].
1. A short proof of two shuffling theorems for tilings and a weighted generalization [arXiv], Discrete Mathematics 345 (2022), no. 3, 112710 [Journal].
<Courses taught at Amherst College>
Linear Algebra (MATH 271): Fall 2026.
Special Topics (MATH 390): Spring 2026.
Multivariable Calculus (MATH 211): Spring 2026, Spring 2027.
Intermediate Calculus (MATH 121): Fall 2025, Spring 2026, Fall 2026.
Introduction to the Calculus (MATH 111): Fall 2025.
<Courses taught at Clemson University>
Linear Algebra (MATH 3110): Fall 2024, Spring 2025.
Calculus of One Variable II (MATH 1080): Fall 2023 (3 sections).
Discrete Mathematical Structures I (MATH 4190): Spring 2023 (2 sections), Fall 2024, Spring 2025.
Business Calculus I (MATH 1020): Fall 2022 (2 sections).
<Courses taught at Indiana University Bloomington>
Precalculus with Trigonometry (M 27), Fall 2021.
(Online co-teaching) Finite Mathematics (M 118), Summer 2020.
Introduction to College Mathematics I (J 111), Fall 2019 (2 sections), Fall 2020.
Introduction to Algebra (J 10), Summer 2019.
Basic Algebra (M 14), Fall 2018.
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