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], submitted

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], accepted.

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], Adv. in Appl. Math. 162 (2025), 102775.

4. (with Svetlana Poznanović) On the maximum of the weighted binomial sum [arXiv], [Journal], Discrete Math. 347 (2024), no.5, Paper No. 113925, 19 pp.

3. Lozenge tilings of a hexagon with a horizontal intrusion [arXiv], [Journal], Ann. Comb. 26 (2022), no.4, 943–970.

2. Lozenge tilings of hexagons with holes on three crossing lines [arXiv], [Journal], Adv. Math. 398 (2022), Paper No. 108230, 22 pp.

1. A short proof of two shuffling theorems for tilings and a weighted generalization [arXiv], [Journal], Discrete Math. 345 (2022), no.3, Paper No. 112710, 9 pp.

<Courses taught at Amherst College>

• Intermediate Calculus (MATH 121): Fall 2025

• 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.