# Hyunsuk's CV

## Education

#### Ph.D. in Mathematics, University of Michigan, Ann Arbor

Aug. 2021 - Present

Advisor: Mircea Mustaţă
#### B.S. in Mathematics and Computer Science. Seoul National University

Mar. 2015 - Aug. 2021 (Two years of leave for mandatory military service in R.O.K. Air Force)

Advisor: Dano Kim

Thesis (Math): L2-metrics on pushforward of adjoint line bundles

Thesis (Computer Science): Proof verification of several well-known theorems via Coq

## Research interests

Birational Geometry and Minimal model program
Applications of Hodge theory to birational geometry (Hodge modules, Period maps, Variation of Hodge structures)
Periods and Degenerations of K-trivial varieties
Analytic methods in algebraic geometry (L2 methods, singularities of plurisubharmonic functions)
Toric geometry

## (Pre)Publication

A remark on Fujino's work on the canonical bundle formula via period maps arXiv:2405.05489, submitted
The intersection cohomology Hodge module of toric varieties (with Sridhar Venkatesh), arXiv:2404.04767, submitted
L2-approach to the Saito vanishing theorem. arXiv:2306.00313, submitted

## Talks

### Invited Talks

L2 approach to the Saito vanishing theorem
Simons Center, Winter School on New Applications of Mixed Hodge Modules, Jan. 2024 (video)
Seoul National University, Complex geometry and Several Complex Variables seminar, Jul. 2023
### Minitalks / Posters

The intersection cohomology Hodge module of toric varieties
Singularities in Ann Arbor, Ann Arbor, Michigan, May 2024
Local systems in Algebraic Geometry, Columbus, Ohio, May 2024

L2 approach to the Saito vanishing theorem
Iberosing international workshop on Mirror symmetry and Hodge ideal, Granada, Nov. 2023
FRG special month, Algebriac Geometry and Singularities in positive and mixed characteristics, Ann Arbor, MI, USA, May 2023
### Talks given in learning and student seminars

(Expand for list)

- Hodge filtration on local cohomology

Mixed Hodge module reading group, U of M, Winter 2024
- On the Bogomolov-Tian-Todorov theorem

Deformation theory learning seminar, U of M, Winter 2024
- A Hodge theoretic proof of Hwang's theorem on base manifolds of Lagrangian fibrations, after Bakker-Schnell

Preprint AG seminar, U of M, Winter 2024
- Properness, projectivity, divisors and line bundles on toric varieties

Learning seminar on Stanley's g-theorem, U of M, Winter 2024
- Compactifying the universal elliptic curve using toric geometry

Student AG seminar, U of M, Winter 2024
- o-minimal GAGA and a conjecture of Griffiths, after Bakker-Brunebarbe-Tsimermann.

o-minimal geometry learning seminar, U of M, Fall 2023
- What is positivity?

Student AG seminar, U of M, Fall 2023
- Du Bois properties of log centers, after Kollár-Kovács

Preprint AG seminar, U of M, Winter 2023
- Families of smooth and nodal curves

Moduli and Stacks learning seminar, Princeton, Winter 2023
- Elliptic surfaces and Canonical bundle formula

Student AG seminar, U of M, Winter 2023
- Holomorphic Morse Inequalities

Student Dynamics, Geometry, and Topology Seminar, U of M, Fall 2022
- Hilbert Space techniques in Algebraic Geometry

Student AG seminar, U of M, Fall 2022
- Castelnuovo-Mumford regularity and Syzygies

Student CA seminar, U of M, Fall 2022
- The Kodaira embedding theorem

Student AG seminar, Winter 2022
- Mixed multiplicities and log concavity

Student CA seminar, U of M, Winter 2022
- Symmetric functions and representation of Sn and GL(V)

Student Combinatorics seminar, Fall 2021

## Teaching

#### University of Michigan

Winter 2024. Math 594(Algebra 2, Graduate course). Course Assistant, Grading and Problem session
Fall 2022. Math 115(Calculus 1). Primary Instructor
Winter 2022. Math 116(Calculus 2). Primary Instructor
Fall 2021. Math 115(Calculus 1). Primary Instructor
#### Seoul National University

Fall 2020. System Programming. Lab assistant and grader
Fall 2019. Foundation of Physics 2 (freshmen physics course). TA and problem sessions

## Travels

Calabi-Yau varieties , Cetraro, Italy, July 2024
Transcendental aspects of algebraic geometry Cetraro, Italy, July 2024
The 1st algebraic geometry Gero symposium , Gero, Gifu, Japan, June 2024
Singularities in Ann Arbor , Ann Arbor, Michigan, May 2024
Local Systems in Algebraic Geometry , Columbus, Ohio, May 2024
AGNES , Boston College, MA, USA, Mar. 2024
Winter School on New Appplications of Mixed Hodge Modules, Simons center, New York, Jan. 2024
Iberosing international workshop on Mirror symmetry and Hodge ideals, Granada, Spain, Nov. 2023
Alpine meeting on non-positive curvature in Kähler geometry, Aussois, France, Jun. 2023
FRG Special month , Algebraic geomtery and singularities in positive and mixed characteristic, Ann Arbor, MI, USA, May 2023
AGNES, UMass Amherst, MA, USA, Nov. 2022

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