PhDs:

1.PhD in Physics, March 1978, Nagoya University, Japan

2.PhD in Mathematics, May 1980, Clarkson University, USA

Professional experience:

1.Postdoctoral member of Technical Staff, Bell Telephone Laboratory, September 1980-September 1982, New Jersey, USA

2.Assistant Professor of Mathematics at Ohio State University, September 1982-September 1987, Columbus, Ohio, USA

3.Research Associate of Physics at Nagoya University, September 1983-September 1988, Nagoya, Japan

4.Associate Professor of Mathematics at Ohio State University, October 1987-September 1992, Columbus, Ohio USA

5.Full Professor of Mathematics at Ohio State University, October 1992-August 2021, Columbus, Ohio USA

6.Full Professor of Communication Engineering at Osaka University, June 1996-September 1999, Osaka, Japan

7.Emeritus Professor of Ohio State University, September 2021-Present, Ohio USA

8.Professor of College of Mathematics and Systems Science, Shandong University of Science and Technology, August 2022-Present, Qingdao, Shandong, China

Fields of Interest:

Integrable systems, Nonlinear Differential Equations, Mathematical Physics with real

Physical Applications including Nonlinear Optics and Tsunami , Algebraic and Geometric  

Combinatorics, Algebraic geometry, Representation Theory related to Integrable Systems

Books:

1.Solitons in Optical Communications (with A. Hasegawa), Oxford University Press, 1995

2.KP solitons and the Grassmannians, Springer Briefs in Mathematical Physics, 2017

3.Solitons in Two-dimensional Shallow Water, CBMS-NSF Regional Conference Series in Applied Mathematics, SIAM 2018

Selected Publications:

1.A. Hasegawa and Y. Kodama, Spectrum cascade by mode coupling in drift-wave turbulence, Phys. Rev. Lett. 1978

2.Y. Kodama, J. Satsuma and M. Ablowitz, Nonlinear intermediate long-wave equation: Analysis and method of solutions, Phys. Rev. Lett. 1981

3.A. Hasegawa, Y. Kodama and K. Watanabe, Self-organization in Korteweg-de Vries turbulence, Phys. Rev. Lett. 1981

4.Y. Kodama and P. Pavlenko, The self-organized flow in the flute mode turbulence, Phys. Rev. Lett. 1988

5.A. Bloch and Y. Kodama, Dispersive regularization of the Whitham equation for the Toda lattice, SIAM J. Appl. Math. 1992

6.S. Aoyama and Y. Kodama, Topological Landau-Ginzburg theory with a rational potential and the dipersionless KP hierarchy,  Comm. Math. Phys. 1996,

7.Y. Kodama and J. Ye, Iso-spectral deformations of general matrix and their reductions on Lie algebras, Comm. Math. Phys. 1996

8.Y. Kodama, The Whitham equations for optical communications: Mathematical theory of NRZ, SIAM J. Appl. Math. 1999

9.L. Casian, Toda lattice, cohomology of compact Lie groups and finite Chevalley groups, Inventiones Math. 2006

10.Y. Kodama and V. U. Pierce, Geometry of Pfaff lattices, Inter. Math. Res. Notes, 2007

11.Y. Kodama, V. U. Pierce and F-R. Tian, On the Whitham equations for the deforcusing complex modified KdV equation, SIAM J. Math. Anal. 2008

12.Y. Kodama and V. U. Pierce, Combinatorics of dispersionless integrable systems and universality in random matrix theory, Comm. Math. Phys. 2009

13.Y. Kodama and L. Williams, KP solitons, total positivity, and cluster algebras, PNAS 2011

14.Y. Kodama and L. Williams, The Deodhar decomposition of the Grassmannian and regularity of KP soliton, Adv. Math. 2013

15.Y. Kodama and L. Williams, KP solitons and totally positivity for the Grassmannian, Inventiones Math. 2014

16.Y. Kodama and L. Williams, The full Kostant-Toda hierarchy on the positive flag variety, Comm. Math. Phys. 2015

17.F. Baronio, Y. Kodama and S. Wabnitz, Optical Kerr spatiotemporal dark-lump dynamics of hydrodynamic origin, Phys. Rev. Lett. 2016

18.R. Karpman and Y. Kodama, Triangulations and soliton graphs for totally positive Grassmannian, Adv. Math. 2021