In February 2024, I gave a talk at Peer Mathematics Seminar, a weekly peer seminar held in Department of Mathematical Sciences, Seoul National University. I introduced the concept of determinantal point processes and discussed their characterization as mixtures of determinantal projection processes. This material originated from my final survey report for the course Topics in Random Matrix Theory in the Fall semester of 2023.
During this winter vacation, I conducted a 8-lecture course Introduction to Category Theory as a part of the 2024 Winter Mentoring program in the College of Natural Sciences, Seoul National University. The objective of the course was to offer a category theoretic viewpoint on undergraduate mathematics, and to introduce basic concepts of homological algebra. I also created a problem set as a supplementary material for the course.
In January 2024, I gave a talk at Peer Mathematics Seminar, a weekly peer seminar held in Department of Mathematical Sciences, Seoul National University. I introduced the isomorphism established by J. Milnor and J. H. Silverman between the moduli space $\mathcal{M}_2$ of quadratic rational maps and the affine plane $\mathbb{A}^2$.
In January 2024, I gave a talk at WDC, a peer conference on diverse topics in mathematics. I introduced the problem of establishing equality between the field of moduli and a field of definition for a dynamical system on $\mathbb{P}^1$, and the resolution of J. H. Silverman, involving concepts from various mathematical domains.
In November and December 2023, I gave two introductory talks at Peer Mathematics Seminar, a weekly peer seminar held in Department of Mathematical Sciences, Seoul National University. I introduced potential theoretic concepts and variational principles for practical computation, which can be applied to study of metastable behavior of stochastic processes. The talks were based on the lecture note of Prof. I. Seo.