Papers

 Book

1.  (with Peter J. Forrester) Progress on the study of the Ginibre ensembles, KIAS Springer Series in Mathematics (to appear)

•  Preliminary version is available on arXiv. Part I: GinUE arXiv link & Part II: GinOE and GinSE arXiv link 

•  KIAS Springer Series Distinguished Lectures by Peter J. Forrester: Lecture 1, Lecture 2

Preprints

1.  (with Seongjae Park) Large gap probabilities of complex and symplectic spherical ensembles with point charges, arXiv link

2.  (with Peter J. Forrester and Jaeseong Oh) q-deformed Gaussian unitary ensemble: spectral moments and genus-type expansions, arXiv link 

3.  (with Seong-Mi Seo and Meng Yang) Free energy expansions of a conditional GinUE and large deviations of the smallest eigenvalue of the LUE, arXiv link

4.  (with Kohei Noda) Scaling limits of complex and symplectic non-Hermitian Wishart ensembles, arXiv link     

5.  Harer-Zagier type recursion formula for the elliptic GinOE, arXiv link    

6.  (with Leslie Molag and Nick Simm) Large deviations and fluctuations of real eigenvalues of elliptic random matrices, arXiv link  

7.  (with Tom Alberts, Nam-Gyu Kang and Nikolai Makarov) Pole dynamics and an integral of motion for multiple SLE(0), arXiv link 

8.  (with Seung-Yeop Lee and Meng Yang) Lemniscate ensembles with spectral singularity, arXiv link

Publications 

1.  (with Christophe Charlier) On the characteristic polynomial of the eigenvalue moduli of random normal matrices, Constr. Approx. (to appear) arXiv link 

2.  (with Peter J. Forrester) Spectral moments of the real Ginibre ensemble, Ramanujan J. (to appear) arXiv link     

3.  (with Yong-Woo Lee) Finite size corrections for real eigenvalues of the elliptic Ginibre matrices, Random Matrices Theory Appl. arXiv link, Journal link    

4.  (with Gernot Akemann, Markus Ebke and Gregory Schehr) Universality in the number variance and counting statistics of the real and symplectic Ginibre ensemble, J. Phys. A: Math. Theor. arXiv link, Journal link  cf. Special Issue on Limit Shapes and Fluctuations in Statistical Physics    

5.  Planar equilibrium measure problem in the quadratic fields with a point charge, Comput. Methods Funct. Theory, arXiv link, Journal link 

6.  (with Meng Yang) Determinantal Coulomb gas ensembles with a class of discrete rotational symmetric potentials, SIAM J. Math. Anal. arXiv link, Journal link 

7.  (with Peter J. Forrester) Spherical induced ensembles with symplectic symmetry, SIGMA Symmetry Integrability Geom. Methods Appl. arXiv link, Journal link cf. Special Issue on Evolution Equations, Exactly Solvable Models and Random Matrices in honor of Alexander Its' 70th birthday   

8.  (with Yacin Ameur) Almost-Hermitian random matrices and bandlimited point processes, Anal. Math. Phys. arXiv link, Journal link cf. Special Issue In memory of Harold Seymour Shapiro (1928-2021)

9.  (with Gernot Akemann) The Product of m real N×N Ginibre matrices: Real eigenvalues in the critical regime m=O(N), Constr. Approx. arXiv link, Journal link  

10.  (with Nam-Gyu Kang and Seong-Mi Seo) Partition functions of determinantal and Pfaffian Coulomb gases with radially symmetric potentials, Comm. Math. Phys. arXiv link, Journal link 

11.  (with Markus Ebke and Seong-Mi Seo) Wronskian structures of planar symplectic ensembles, Nonlinearity arXiv link, Journal link

12.  (with Nam-Gyu Kang and Hee-Joon Tak) Conformal field theory for annulus SLE: partition functions and martingale-observables, Anal. Math. Phys. arXiv link, Journal link

13.  (with Christophe Charlier) On the almost-circular symplectic induced Ginibre ensemble, Stud. Appl. Math. arXiv link, Journal link 

14.  (with Gernot Akemann and  Markus Ebke) Universality of the number variance in rotational invariant two-dimensional Coulomb gases, J. Stat. Phys. arXiv link, Journal link

15.  (with Markus Ebke) Universal scaling limits of the symplectic elliptic Ginibre ensemble, Random Matrices Theory Appl. arXiv link, Journal link

16.  (with Seong-Mi Seo) Random normal matrices in the almost-circular regime, Bernoulli arXiv link, Journal link   

17.  (with Jaehun Lee and Tulasi Ram Reddy) Zeros of random polynomials and their higher derivatives, Trans. Amer. Math. Soc. arXiv link, Journal link

18.  (with Gernot Akemann and Nam-Gyu Kang) Scaling limits of planar symplectic ensembles, SIGMA Symmetry Integrability Geom. Methods Appl. arXiv link, Journal link

19.  (with Nam-Gyu Kang, Ji Oon Lee and Jinyeop Lee) Real eigenvalues of elliptic random matrices, Int. Math. Res. Not. IMRN arXiv link, Journal link

20.  (with Gernot Akemann, Nam-Gyu Kang) A non-Hermitian generalisation of the Marchenko-Pastur distribution: from the circular law to multi-criticality, Ann. Henri Poincaré arXiv link, Journal link

21.  (with Gernot Akemann) The high temperature crossover for general 2D Coulomb gases, J. Stat. Phys. arXiv link, Journal link 

Coauthors 

• Gernot Akemann (6), Bielefeld University, Germany

• Tom Alberts, University of Utah, US

• Yacin Ameur, Lund University, Sweden

• Christophe Charlier (2), Lund University, Sweden

• Markus Ebke (4), FAU Erlangen-Nürnberg, Germany 

• Peter J. Forrester (5), University of Melbourne, Australia 

• Nam-Gyu Kang (6), Korea Institute for Advanced Study (KIAS), Korea 

• Jaehun Lee, Korea Institute for Advanced Study (KIAS), Korea 

• Ji Oon Lee, Korea Advanced Institute of Science and Technology (KIAST), Korea 

• Jinyeop Lee, LMU München, Germany 

• Seung-Yeop Lee, University of South Florida, US

• Yong-Woo Lee, Seoul National University, Korea

• Nikolai Makarov, California Institute of Technology (Caltech), US

• Leslie Molag, Carlos III University of Madrid, Spain

• Kohei Noda, Kyushu University, Japan

• Jaeseong Oh, Korea Institute for Advanced Study (KIAS), Korea

• Seongjae Park, Seoul National University, Korea  

• Tulasi Ram Reddy, Industry, India

• Gregory Schehr, Sorbonne Université, France

• Seong-Mi Seo (4), Chungnam National University, Korea

• Nick Simm, University of Sussex, UK 

• Hee-Joon Tak, Industry, Korea

• Meng Yang (3), Great Bay University, China