Motohico Mulase
Home page:
http://www.math.ucdavis.edu/~mulase/
Position: Professor
Year joining UC Davis: 1989
Degree: Ph.D., 1985, Kyoto University
Refereed publications: Via
Math Reviews
Recent publications: Via
math arXiv
Research
The research expertise of Motohico Mulase lies in the interplay of many areas of mathematics, such as algebraic and
symplectic geometry, moduli theory of Riemann surfaces and
vector bundles, nonlinear integrable systems such as KP and KdV equations, infinite-dimensional geometry, and mathematical physics. His research accomplishments include a solution to the Riemann-Schottky problem (a characterization of Jacobian varieties) in terms of KP equations [1], establishing the solvability of soliton equations [2], discovery of the new relation between Prym varieties and integrable systems [3], a simple proof of the equivalence between the theory of Strebel differentials and Grothendieck's dessins d'enfants [4], and a generalization of Witten-Kontsevich theory [5].
Selected publications
[1] Mulase, M. " Cohomological structure in soliton equations and Jacobian varieties, " Journal of Differential Geometry, 19: 403-430, 1984.
[2] Mulase, M. " Solvability of the super KP equation and a generalization of the Birkhoff decomposition, " Inventiones Mathematicae, 92: 1-46, 1988,
MathSciNet931203 .
[3] Li, Y. and M. Mulase. " Prym varieties and integrable systems, " Communications in Analysis and Geometry,
5: 279-332, 1997.
[4] Mulase, M. and M. Penkava: " Ribbon Graphs, Quadratic Differentials on Riemann Surfaces, and Algebraic Curves Defined over Q-bar, " The Asian Journal of Mathematics, 2(4): 875--920 1998,
arXiv9811.4724.
[5] Mulase, M. and B. Safnuk:
" Mirzakhani's Recursion Relations, Virasoro Constraints and the KdV Hierarchy, " to appear in Indian Journal of Mathematics,
50, 2008
arXiv0601.5194.
Honors and Awards
- Hironaka Foundation Fellowship (Harvard), 1982-83
- Member, MSRI, Berkeley, 1982-84
- Member, IAS, Princeton, 1988-89
- Member, Max Planck Institute for Mathematics, Bonn, 1991-92
- Visiting Professor, RIMS, Kyoto, 2008
Last updated: 2008/02/12
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