Selected Publications of Motohico Mulase



Hitchin integrable systems, deformations of spectral curves, and KP-type equations, (with Andrew R. Hodge), Preprint arXiv:0801.0015 math.AG. (2008)

Geometry of character varieties of surface groups, to appear in RIMS Kokyuroku, 2008.

Mirzakhani's Recursion Relations, Virasoro Constraints and the KdV Hierarchy (with Brad Safnuk), Indian Journal of Mathematics 50, 189--228 (2008)

Non-commutative matrix integrals and representation varieties of surface groups in a finite group (with Josephine T. Yu), Annales de l'Institut Fourier 55, 1001--1036 (2005)

A generating function of the number of homomorphisms from a surface group into a finite group (with Josephine T. Yu), Preprint math.QA/0209008.

Duality of Orthogonal and Symplectic Matrix Integrals and Quaternionic Feynman Graphs (with Andrew Waldron), Communications in Mathematical Physics 240, 553--586 (2003)

Periods of Strebel Differentials and Algebraic Curves defined over the Field of Algebraic Numbers (with Michael Penkava), The Asian Journal of Mathematics 6 (4), 743--748 (2002)

Ribbon Graphs, Quadratic Differentials on Riemann Surfaces, and Algebraic Curves Defined over Q-bar (with Michael Penkava), The Asian Journal of Mathematics 2 (4), 875--920 (1998)

Lectures on the Asymptotic Expansion of a Hermitian Matrix Integral, in Springer Lecture Notes in Physics 502, H. Aratyn et al., Editors, 91--134 (1998)

Prym varieties and integrable systems (with Yingchen Li), Communications in Analysis and Geometry 5, 279--332 (1997)

The Hitchin systems and the KP equations (with Yingchen Li), International Journal of Mathematics 7, 227--244 (1996)

Asymptotic analysis of a Hermitian matrix integral, International Journal of Mathematics 6, 881-892 (1995)

Matrix integrals and integrable systems, in Topology, geometry and field theory, K. Fukaya et. al., Editors, World Scientific, 111--127 (1994)

Algebraic theory of the KP equations, in Perspectives in Mathematical Physics, R. Penner and S.-T. Yau, Editors, International Press Company, 157--223 (1994)

Geometric classification of Z2-commutative algebras of super differential operators, Marcel Dekker Lecture Notes in Pure and Applied Mathematics 145, Einstein Metrics and Yang-Mills Connections, 161--180 (1993)

Normalization of the Krichever Data, Contemporary Mathematics 136, Curves, Jacobians, and Abelian Varieties, 297--304 (1992)

A new super KP system and a characterization of the Jacobians of arbitrary algebraic super curves, Journal of Differential Geometry 34, 651--680 (1991)

Super Krichever functor (with J. Rabin), International Journal of Mathematics 2, 741--760 (1991)

Category of vector bundles on algebraic curves and infinite dimensional Grassmannians, International Journal of Mathematics 1, 293--342 (1990)

Geometric classification of commutative algebras of ordinary differential operators, Differential Geometric Methods in Theoretical Physics, NATO Advanced Sciences Institutes Series 245 B, 13--27 (1990)

A correspondence between an infinite Grassmannian and arbitrary vector bundles on algebraic curves, Proceedings of Symposia in Pure Mathematics 49, 39--50 (1989)

Solvability of the super KP equation and a generalization of the Birkhoff decomposition, Inventiones Mathematicae 92, 1--46 (1988)

KP equations, strings and the Schottky problem, in Algebraic Analysis, M. Kashiwara et. al., Editors, vol.II, Academic Press, 473--492 (1988)

Cohomological structure in soliton equations and Jacobian varieties, Journal of Differential Geometry 19, 403--430 (1984)

Complete integrability of the Kadomtsev-Petviashvili equation, Advances in Mathematics 54, 57--66 (1984)

Algebraic geometry of soliton equations, Proceedings of the Japan Academy 59 (A), 285--288 (1983)