School of Mathematics
Kang, Nam-Gyu
Professor
Analysis, Probability
Nam-Gyu Kang works on complex analysis and probability theory. With Nikolai Makarov, he developed the probabilistic and complex analytic articulation of the conformal field theory and its applications to Schramm-Loewner evolution (SLE). His research interests also include fine structures of SLE curves; the universality problems for the distribution of eigenvalues of random normal matrices; Ward's identities for finite Boltzmann-Gibbs ensembles and their application to conformal field theory.
- Ph.D., Mathematics, Yale University, May 2004 (Thesis Advisor: Prof. Peter W. Jones)
- C.L.E. Moore Instructor, M.I.T., Jul. 2004 – Jun. 2007
- Olga Taussky - John Todd Instructor, Caltech, Aug. 2007 – Feb. 2010
- Assistant Professor, Seoul National University, Mar. 2010 – Feb. 2014
- Associate Professor, Seoul National University, Mar. 2014 – Dec. 2015
- Professor, KIAS, Jan. 2016 – Present
- Prize Teaching Fellow, Yale University, 2004 – 05
- Clay Liftoff Fellow, Clay Mathematics Institute, 2004
Publications at KIAS
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Partition Functions of Determinantal and Pfaffian Coulomb Gases with Radially Symmetric Potentials
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2023 -
Real Eigenvalues of Elliptic Random Matrices
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2023 -
Conformal field theory for annulus SLE: partition functions and martingale-observables
ANALYSIS AND MATHEMATICAL PHYSICS, 2023 -
The Random Normal Matrix Model: Insertion of a Point Charge
POTENTIAL ANALYSIS, 2023 -
Scaling Limits of Planar Symplectic Ensembles
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2022 -
A Non-Hermitian Generalisation of the Marchenko-Pastur Distribution: From the Circular Law to Multi-criticality
ANNALES HENRI POINCARE, 2021 -
On boundary confinements for the Coulomb gas
ANALYSIS AND MATHEMATICAL PHYSICS, 2020 -
Scaling limits of random normal matrix processes at singular boundary points
JOURNAL OF FUNCTIONAL ANALYSIS, 2020 -
Rescaling Ward Identities in the Random Normal Matrix Model
CONSTRUCTIVE APPROXIMATION, 2019 -
Slit Holomorphic Stochastic Flows and Gaussian Free Field
COMPLEX ANALYSIS AND OPERATOR THEORY, 2016
Selected Publications
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Gaussian free field and conformal field theory
Astérisque 353 (2013), viii+136 pp. -
Boundary behavior of SLE
J. Amer. Math. Soc. 20 (2007), no. 1, 185−210. -
Pole dynamics and an integral of motion for multiple SLE(0)
arXiv:2011.05714v2, 60 pp. To appear in Sel. Math. New Ser. -
Rescaling Ward identities in the random normal matrix model
Constr. Approx. 50 (2019), no. 1, 63−127. -
Conformal field theory of Gaussian free fields in a multiply connected domain
arXiv:2407.08220, 35 pp. -
Conformal field theory on the Riemann sphere and its boundary version for SLE
arXiv:2111.10057, 74 pp. -
Partition functions of determinantal and Pfaffian Coulomb gases with radially symmetric potentials
Commun. Math. Phys., 401 (2023), pages 1627−1663. -
Real eigenvalues of elliptic random matrices
Int. Math. Res. Not., 2023, no. 3, 2243−2280. -
Scaling limits of random normal matrix processes at singular boundary points
J. Funct. Anal. 278 (2020), no. 3, 108340, 46 pp. -
Scaling limits of planar symplectic ensembles
SIGMA Symmetry Integrability Geom. Methods Appl. 18 (2022), Paper No. 007, 40 pp.
- Office: 1308 / TEL) 82-2-958-2637 /
- School of Mathematics, Korea Institute for Advanced Study
- 85 Hoegiro Dongdaemun-gu, Seoul 02455, Republic of Korea.