Seok Hyun's website

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 teaching experience below.

<Contact Information>

e-mail: sbyun (at) amherst.edu

<Publications / Preprints>

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], accepted.

9. (with Yi-Lin Lee) Block diagonally symmetric lozenge tilings [arXiv], submitted.

8. (with Wayne Goddard) A note on one-hole domino tilings of squares and rectangles [arXiv], accepted.

7. (with Mihai Ciucu and Yi-Lin Lee) Propp's benzels and Lai's nearly symmetric hexagons with holes [arXiv], The Electronic Journal of Combinatorics Volume 32, Issue 4 (2025) P4.35.

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], [Journal], Advances in Applied Mathematics 162 (2025), 102775.

4. (with Svetlana Poznanović) On the maximum of the weighted binomial sum [arXiv], [Journal], Discrete Mathematics 347 (5) (2024), 113925.

3. Lozenge tilings of a hexagon with a horizontal intrusion [arXiv], [Journal], Annals of Combinatorics 26 (2022), 943-970.

2. Lozenge tilings of hexagons with holes on three crossing lines [arXiv], [Journal], Advances in Mathematics 398 (2022), 108230.

1. A short proof of two shuffling theorems for tilings and a weighted generalization [arXiv], [Journal], Discrete Mathematics 345 (2022), no. 3, 112710.

<Courses taught at Amherst College>

• Multivariable Calculus (MATH 211): Spring 2026.

• Intermediate Calculus (MATH 121): Fall 2025, Spring 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.