My primary research interest is in the field of algebraic geometry. In recent years I have studied various aspects of algebraically completely integrable systems, which led to my current growing interest in mathematical physics.
Recent (p)reprints
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The fibers of the Prym map, Contemp. Math. 136 (1992), 55-126.
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Decomposition of spectral covers, Journees de Geometrie
Algebrique d'Orsay, July 1992, Asterisque 218(1993), 145-175.
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Theta functions for SL(n) versus GL(n) (with L. Tu), Math.
Res. Let 1 (1994), 345-357.
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Spectral covers, to appear in MSRI proceedings of special year
in algebraic geometry (1992-93). (Alg. Geo. eprint # 9505009)
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Cubics, Calabi-Yau threefolds, integrable systems and mirrors
(with E. Markman), to appear in: Proc. Hirzebruch Conf., Israel
Math. Conf. Proc. (AMS). (Alg. Geo. eprint # 9408004)
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Spectral covers, algebraically completely integrable systems,
and vector bundles (with E. Markman), to appear in CIME lecture series, in
LNM. (Alg. Geo. eprint #9507017)
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A non-linear deformation of the Hitchin dynamical system(with L. Ein and R. Lazarsfeld), submitted. (Alg. Geo. eprint # 9504017)
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Supersymmetric Yang-Mills Theory and Integrable Systems (with E. Witten), Nucl. Phys. B. ,1996. (Hepth eprint # 9510101)
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A Non-Perturbative Superpotential with E8-Symmetry (with A. Grassi and E. Witten), submitted. (Hepth eprint # 9607091)