Junho Peter Whang 황준호

Department of Mathematical Sciences
Seoul National University

Office: Building 27 Room 302
Email: jwhang [at] snu [dot] ac [dot] kr
Curriculum vitae (PDF) · Google Scholar

2021–present Assistant Professor, Seoul National University

2025–2026 Visiting Fellow, Princeton University (sabbatical)

2018–2021 C.L.E. Moore Instructor, MIT

2018 Ph.D., Princeton University (advisor: Peter Sarnak)

2013 B.Sc.H., Queen's University

Research interests: Number theory (Diophantine analysis), arithmetic geometry, topology, and dynamics.

Publications and Preprints

Selected papers

On indefinite integral ternary quadratic forms. [arXiv] [talk]

With A. Gamburd, A. Ghosh, and P. Sarnak. Preprint (2026).
On periodic orbits of polynomial maps. [arXiv]

Preprint (2023).
Stokes matrices and exceptional isomorphisms. [(old) arXiv] [journal]

With Y.-W. Fan. Math. Ann. 390 (2024), no. 3, 4041–4086.
Surface group representations in SL₂(C) with finite mapping class orbits. [arXiv] [journal]

With I. Biswas, S. Gupta, and M. Mj. Geom. Topol. 26 (2022), no. 2, 679–719.
The rank two p-curvature conjecture on generic curves. [arXiv] [journal]

With A. Patel and A. N. Shankar. Adv. Math. 386 (2021), Article 107800.
Arithmetic of curves on moduli of local systems. [arXiv] [journal]

Algebra Number Theory 14 (2020), no. 10, 2575–2605.
Nonlinear descent on moduli of local systems. [arXiv] [journal]

Israel J. Math. 240 (2020), no. 2, 935–1004.
Global geometry on moduli of local systems for surfaces with boundary. [arXiv] [journal]

Compos. Math. 156 (2020), no. 8, 1517–1559.

Other publications

Degree gaps in algebraic interpolations. [journal]

Bull. Korean Math. Soc. 63 (2026), no. 1, 227–234.
A reciprocity law on the one-holed torus. [journal]

J. Korean Math. Soc. 62 (2025), no. 6, 1525–1538.
On finite categories of algebraic varieties. [arXiv] [journal]

J. Algebra 681 (2025), 206–217.
The uncertainty principle and a generalization of a theorem of Tao. [journal]

With M. R. Murty. Linear Algebra Appl. 437 (2012), no. 1, 214–220.
Another proof of the infinitude of the prime numbers.

Amer. Math. Monthly 117 (2010), no. 2, 181.

Students

Current students

Seong Youn Kim, Ph.D. student, 2022–present (co-advised with Gye-Seon Lee)
Young Joon Ley, Ph.D. student, 2022–present
Eungchan Kim, Ph.D. student, 2025–present
Jihye Oh, Ph.D. student, 2025–present; M.S. 2025
Master's thesis: Decidability of Mutation Equivalence for Three-Vertex Quivers.

Past students

Juhan Kim, M.S. 2023
Thesis: Compactification of Character Varieties via Triangulation on Surfaces.
Eunju Shin, M.S. 2024
Thesis: Nonlinear Reduction for Two Types of Generalized Markoff Equations.

Teaching

Current courses — Fall 2026

Analytic Number Theory. Undergraduate topics course. [lecture notes]
Diophantine Analysis. Graduate topics course.

Past courses

Spring 2025Algebra III.Graduate course. [lecture notes]
Spring 2025Discrete Groups and Diophantine Problems.Graduate topics course.
Fall 2024Algebra II.Graduate course. [lecture notes]
Spring 2024Algebra I.Graduate course. [lecture notes]
Spring 2024Commutative Algebra.Graduate course. [lecture notes]
Fall 2023Schemes: Cohomology and Applications.Graduate topics course.
Spring 2023Algebraic Geometry.Graduate course.
Spring 2023Diophantine Geometry.Graduate topics course.
Fall 2022Linear Algebra.Undergraduate course.
Spring 2022Commutative Algebra.Graduate course.
Fall 2021Introduction to Diophantine Analysis.Undergraduate topics course.

The linked lecture notes are revised from handwritten lectures delivered at Seoul National University. Sources and acknowledgments are listed in each volume.

Funding

Samsung Science and Technology Foundation, 2022–2027

Analysis of Diophantine Problems with Nonlinear Symmetry (SSTF-BA2201-03)

Principal Investigator

National Research Foundation of Korea, 2025–2028

Dynamics and Arithmetic Structures on Manifolds (DASOM) (RS-2025-02293115)

Co-investigator