1.
Vertex Algebras and Algebraic Curves (Book), Mathematical Surveys and Monographs 88, Amer. Math. Soc. (First Edition: 2001. Second Edition: 2004). (Reviews: Y.-Z. Huang in Bull. AMS Vol. 39 No. 4 (2002) 585-591, Featured Review MR1849359 (2003f:17036).) With E. Frenkel. |
AMS | |
2.
Spectral Curves, Opers and Integrable
Systems, Pub. Math. IHES 94 (2001), 87--159. Featured Review MR1896178 (2003j:14047). With E. Frenkel. |
arXiv | |
3. A Quantization on Riemann Surfaces
with Projective Structure , Lett. Math. Phys. 54 (2000), 73--82. With I. Biswas. |
file | |
4.
Theta Functions and Szeg\"o
Kernels, Int. Math. Res. Not. 24 (2003), 1305--1340. With I. Biswas. |
arXiv | |
5.
Opers and Theta Functions, Adv. Math, 181 (2004) no.2, 368-395. With I. Biswas. |
arXiv | |
6.
Cusps and D-modules, J. Amer. Math. Soc. 17 (2004), 155--179. With T. Nevins. |
arXiv | journal |
7.Geometric Realization of the Segal--Sugawara Construction, Topology, Geometry and Quantum Field Theory. Proc., 2002 Oxford Symposium in Honour of the 60th Birthday of Graeme Segal. London Math Soc. Lecture Note Series 308 (2004). With E. Frenkel |
arXiv | |
8.
From solitons to many-body systems, Pure and Applied Math Quarterly Vol. 4 No.2, 2008 (Bogomolov special issue, part I) With T. Nevins. |
arXiv | |
9.
Moduli Spaces, Princeton Companion to Mathematics, ed. T. Gowers. Princeton University Press, 2008. |
file | Press |
10.
Supersymmetry of the Chiral de Rham Complex, Compositio Mathematica 144 no.2 (2008), 503--521. With R. Heluani and M. Szczesny. |
arXiv | |
11.
D-bundles and integrable hierarchies, Jour. European Math. Soc., to appear. With T. Nevins. |
arXiv | |
12.
Flows of Calogero-Moser systems, Inter. Math. Res. Notices 23 (2007), 38 pages. With T. Nevins. |
arXiv | |
13.
Perverse Bundles and Calogero-Moser spaces, Compositio Mathematica 144 no. 6 (2008), 1403-1428. With T. Nevins. |
arXiv | |
14. Loop Spaces and Langlands Parameters, preprint. With D. Nadler. |
arXiv | |
15.
Integral Transforms and Drinfeld Centers in Derived Algebraic Geometry, Jour. Amer. Math. Soc., to appear. With J. Francis and D. Nadler. |
arXiv | |
16.W-symmetry
of the Adelic Grassmannian, Comm. Math. Phys. 293, Issue 1 (2010), Page 185. With T. Nevins. |
arXiv | |
17.
The Character Theory of a Complex Group, preprint. With D. Nadler. |
arXiv | |
Lectures on the Geometric Langlands Correspondence
(Book), London Math Society Lecture Note Series, Cambridge University Press (expected) |
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Toda lattice hierarchy and noncommutative
geometry, in preparation. With T. Nevins. |
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Affine Hecke Algebras and Vogan Duality, in progress. With D. Nadler. |
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Geometric Base Change, in progress. With D. Nadler. |
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Integrable hierarchies and noncommutative
spectral curves, in progress. With T. Nevins. |