School of Mathematics
Oh, Sung-Jin
Professor
Nonlinear partial differential equations
I am interested in geometric PDEs, especially those which originate from physics. I enjoy thinking about these PDEs since their understanding requires combining ideas from a diverse range of fields, such as harmonic analysis, differential geometry and physics. Specific equations that I have considered so far include the Yang-Mills equations, Einstein equations, various Chern-Simons theories, wave maps, incompressible Euler equations and incompressible extended MHD equations.
- 2013.08 - 2016.06: Miller Research Fellow, UC Berkeley, USA
- 2016.06 - 2019.08: CMC Research Professor, Korea Institute for Advanced Study, Korea
- 2019.09 - present: Assistant Professor, UC Berkeley, USA
- 2019.11 - present: Adjunct Professor, Korea Institute for Advanced Study, Korea
- 2016, Young Scientist Award, The Korean Academy of Science and Technology
Publications at KIAS
-
Gradient Blow-Up for Dispersive and Dissipative Perturbations of the Burgers Equation
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2024 -
Asymptotic Stability of Harmonic Maps on the Hyperbolic Plane under the Schrodinger Maps Evolution
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2023 -
A Scattering Theory Approach to Cauchy Horizon Instability and Applications to Mass Inflation
ANNALES HENRI POINCARE, 2023 -
On the Cauchy Problem for the Hall and Electron Magnetohydrodynamic Equations Without Resistivity I: Illposedness Near Degenerate Stationary Solutions
ANNALS OF PDE, 2022 -
Global Nonlinear Stability of Large Dispersive Solutions to the Einstein Equations
ANNALES HENRI POINCARE, 2022 -
Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data I. The interior of the black hole region
ANNALS OF MATHEMATICS, 2019 -
Strong Cosmic Censorship in Spherical Symmetry for Two-Ended Asymptotically Flat Initial Data II: The Exterior of the Black Hole Region
ANNALS OF PDE, 2019 -
THE THRESHOLD THEOREM FOR THE (4+1)-DIMENSIONAL YANG-MILLS EQUATION: AN OVERVIEW OF THE PROOF
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 2019 -
The Hyperbolic Yang-Mills Equation for Connections in an Arbitrary Topological Class
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2019 -
STABILITY OF STATIONARY EQUIVARIANT WAVE MAPS FROM THE HYPERBOLIC PLANE
AMERICAN JOURNAL OF MATHEMATICS, 2017 -
Equivariant wave maps on the hyperbolic plane with large energy
MATHEMATICAL RESEARCH LETTERS, 2017 -
Small Data Global Existence and Decay for Relativistic Chern-Simons Equations
ANNALES HENRI POINCARE, 2017
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- School of Mathematics, Korea Institute for Advanced Study
- 85 Hoegiro Dongdaemun-gu, Seoul 02455, Republic of Korea.