• The spectral curve of the Eynard-Orantin recursion via the Laplace transform, (with O. Dumitrescu, B. Safnuk and A. Sorkin), (2012)

• Topological recursion for the Poincaré polynomial of the combinatorial moduli space of curves, (with Michael Penkava), Preprint arXiv:1009.2135 math.AG (2010)

• The Kontsevich constants for the volume of the moduli of curves and topological recursion, (with Kevin Chapman and Brad Safnuk), Communications in Number Theory and Physics 5, 643--698 (2011)

• The Laplace transform of the cut-and-join equation and the Bouchard-Marino conjecture on Hurwitz numbers, (with B. Eynard and B. Safnuk), Publications of the Research Institute for Mathematical Sciences 47, 629--670 (2011).

• A matrix model for simple Hurwitz numbers, and topological recursion, (with G. Borot, B. Eynard, and B. Safnuk), Journal of Geometry and Physics 61, 522--540 (2011).

• Polynomial recursion formula for linear Hodge integrals, (with Naizhen Zhang), Communications in Number Theory and Physics 4, 267--294 (2010)

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

• A Child's Point of View (in Japanese, Kodomo no me), an expository book chapter on the Witten-Kontsevich theory, mirror symmetry, and the Gromov-Witten theory. Invited contribution. In "Kono Suugagusha ni Deaete Yokatta (The Great Moments of Meeting Mathematicians)," By Kazuhiko Aomoto, Takashi Ono, Mitsuyoshi Kato, Yasuyuki Kawahigashi, Shoshichi Kobayashi, Koichiro Harada, Motohico Mulase, et al. Sugagu-Shobo, 2011.

• New developments in Witten-Kontsevich theory (in Japanese), Surikagaku (Mathematical Sciences) 543, 8--14 (September 2008)

Hitchin's Integrable Systems, Geometric Langlands Duality, and Characterization of Prym Varieties:

• Hitchin integrable systems, deformations of spectral curves, and KP-type equations, (with Andrew R. Hodge), Advanced Studies in Pure Mathematics 59, 31--77 (2010)

• Geometry of character varieties of surface groups, Research Institute for Mathematical Sciences Kokyuroku 1605, 1--21 (2008)

• 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)

Ribbon Graphs, Grothendieck's Dessins d'Enfants, Belyi Morphisms, Strebel Differentials, and Orbifold Structure of the Moduli Space of Riemann Surfaces:

• 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)

• 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)

Matrix Models, Matrix Duality, Topological Expansion of Matrix Integrals, and their Generalizations with Applications to Geometry of Moduli Spaces

• 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)

• 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)

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

Surveys on the KP Theory, Sato Grassmannians, and their Applications to the Schottky Problem and Matrix Integrals:

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

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

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

A Solution to the Schottky Problem in terms of KP Equations, and its Supersymmetric Generalizations:

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

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

• 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)

Solvability and Complete Integrability of KP equations, Birkhoff Decomposition of the Group of Pseudo-Differential Operators, and Supersymmetric Generalizations:

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

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

Sato Grassmannian, Commutative Rings of Differential Operators, Moduli of Vector Bundles on Algebraic Curves, and their Supersymmetric Generalizations:

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

• 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)

• 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)

Instantons:

• Poles of instantons and jumping lines of algebraic vector bundles on P^3, Proceedings of the Japan Academy 55 (A), 185--189 (1979)

Combinatorial Structure of the Moduli Space of Riemann Surfaces and the KP Equations, (1997)

Lectures on the Combinatorial Structure of the Moduli Spaces of Riemann Surfaces and Feynman Diagram Expansion of Matrix Integrals, (2001)