Preprints and Published Articles

• Free energy of spherical Coulomb gases with point charges (with S. Byun, S. Seo, and M. Yang),  J. Lond. Math. Soc., 36 pp.

• Conformal field theory of Gaussian free fields in a multiply connected domain (with T. Alberts, and S. Byun), arXiv:2407.08220, 35 pp.

• Pole dynamics and an integral of motion for multiple SLE(0) (with T. Alberts, S. Byun, and N. Makarov), Sel. Math. New Ser. 30 (2024), Paper No. 92, 77 pp.

• Partition functions of determinantal and Pfaffian Coulomb gases with radially symmetric potentials (with S. Byun and S. Seo), Commun. Math. Phys., 401 (2023), pages 1627−1663.

• Real eigenvalues of elliptic random matrices (with S. Byun, J. O. Lee, and J. Lee), Int. Math. Res. Not., 2023, no. 3, 2243−2280.

• The random normal matrix model: insertion of a point charge (with Y. Ameur and S. Seo), Potential Anal., 58 (2023), no. 2, 331−372.

• Conformal field theory for annulus SLE: partition functions and martingale-observables (with S. Byun and H. Tak), Anal. Math. Phys. 13 (2023), no. 1, Paper No. 1, 87 pp. 

• Scaling limits of planar symplectic ensembles (with G. Akemann and S. Byun), SIGMA Symmetry Integrability Geom. Methods Appl. 18 (2022), Paper No. 007, 40 pp.

• A non-Hermitian generalisation of the Marchenko-Pastur distribution: from the circular law to multi-criticality, (with G. Akemann and S. Byun), Annales Henri Poincaré 22 (2021), 1035−1068. 

• Conformal field theory on the Riemann sphere and its boundary version for SLE (with N. Makarov), arXiv:2111.10057, 74 pp.

• On boundary confinements for the Coulomb gas (with Y. Ameur and S. Seo), Anal. Math. Phys. 10 (2020), no. 4, Paper No. 68 (2020), 42 pp.

• Scaling limits of random normal matrix processes at singular boundary points (with Y. Ameur, N. Makarov, and A. Wennman), J. Funct. Anal. 278 (2020), no. 3, 108340, 46 pp.

• Rescaling Ward identities in the random normal matrix model (with Y. Ameur and N. Makarov), Constr. Approx. 50 (2019), no. 1, 63−127.

• Calculus of conformal fields on a compact Riemann surface (with N. Makarov), arXiv:1708.07361, 86 pp.

• Slit holomorphic stochastic flows and Gaussian free field (with G. Ivanov and A. Vasiliev), Complex Anal. Oper. Theory 10 (2016), no. 7, 1591−1617. 

• Conformal field theory of dipolar SLE with the Dirichlet boundary condition (with H. Tak), Anal. Math. Phys. 3 (2013), no. 4, 333−373.

• On a problem for Ward's equation with a Mittag-Leffler potential (with Y. Ameur), Bull. Sci. Math. 137 (2013), no. 7, 968−975. 

• Conformal field theory of dipolar SLE(4) with mixed boundary condition, J. Korean Math. Soc. 50 (2013), no. 4, 899−916.

• Radial SLE martingale-observables (with N. Makarov), arXiv:1208.2789, 44 pp. 

• Gaussian free field and conformal field theory (with N. Makarov), Astérisque 353 (2013), viii+136 pp. 

(This monograph can be purchased or downloaded from the Société Mathématique de France.)

• The law of the iterated logarithm for SLE, Int. Math. Res. Not. 2007, no. 18, Art. ID rnm060, 22 pp. 

• On the quantitative boundary behavior of SLE, Universality and renormalization, 185−198, Fields Inst. Commun. 50, Amer. Math. Soc., Providence, RI, 2007.

• Boundary behavior of SLE, J. Amer. Math. Soc. 20 (2007), no. 1, 185−210.

• Oscillatory integrals as ultradistributions, (with S. Chung and D. Kim), Integral Transform. Spec. Funct. 12 (2001), no. 1, 37−52.