Ian Min Gyu Seong

You can find my CV here. My personal email is ianseong1995@gmail.com. My work email is is11@williams.edu.

Research:

• Algebraic Graph Theory: distance-regular graphs, association schemes, Terwilliger algebra, posets

• Combinatorial Game Theory: impartial games on graphs

• Special functions: q-Onsager algebra, Askey-Wilson algebra, orthogonal polynomials

• Geometry: projective geometry, subspace lattice, Grassmann graph

Publications (reverse chronological order):

[1] I. Seong. Projective geometries and the $q$-Onsager algebra. In preparation.

[2] J.-H. Lee, J. Park, I. Seong. The nucleus of the Grassmann graph $J_q(N,D)$. (arXiv:2509.15395)

[3] I. Seong. Counting edges of different types in a local graph of a Grassmann graph. (arXiv:2506.18700)

[4] I. Seong. A generalization of the Askey-Wilson relations using a projective geometry. (arXiv:2410.11218) Accepted to J. Alg. Combin.

[5] I. Seong. Some orbits of a two-vertex stabilizer in a Grassmann graph. (arXiv:2407.06239) Accepted to Elec. J. Combin.

[6] I. Seong. Using a Grassmann graph to recover the underlying projective geometry. Graphs Combin. 40 (2024) No. 88.

[7] S. Canilang, M. Cohen, N. Graese, I. Seong. The closure-complement-frontier problem in saturated polytopological spaces. New Zealand J. Math. 51 (2021) 3-27.

[8] K. Georgiou, A. Jiang, E. Lee, A. Olave, I. Seong, T. Upadhyaya. Lift & project systems performing on the partial-vertex-cover polytope.  Theor. Comput. Sci. 820 (2020) 1-16.

Other interests:

• Mathematical Problem Solving (Olympiad, Putnam, and more)