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- Oscilatory modules, Lett. Math. Phys. 88 (2009), no. 1-3, 343-369, arXiv:0905.0290
- Proof of Swiss Cheese Version of Deligne's Conjecture, with V. Dolgushev and D. Tamarkin, to appear in IMRN, arXiv:0904.2753,
- Noncommutative calculus and the Gauss-Manin connection, with V. Dolgushev and D. Tamarkin, Higher structures in geometry and physics, 139-158, Progr. Math., 287, Birkhäuser/Springer, New York, 2011 , arXiv:0902.2202
- Formality theorems for Hochschild complexes and their applications, with V. Dolgushev and D. Tamarkin, Lett. Math. Phys. 90 (2009), no. 1-3, 103-136arXiv:0901.0069
- Deformations of algebroid stacks, with P. Bressler, A. Gorokhovsky and R. Nest, Adv. Math. 226 (2011), no. 4, 3018–3087 arXiv:0810.0030
- Chern character for twisted complexes, with P. Bressler, A. Gorokhovsky and R. Nest, Geometry and dynamics of groups and spaces, 309–324, Progr. Math., 265, Birkhäuser, Basel, 2008, arXiv:0710.0643
- Riemann-Roch for real varieties, with P. Bressler, M. Kapranov, E. Vasserot, Riemann-Roch for real varieties. Algebra, arithmetic, and geometry: in honor of Yu. I. Manin. Vol. I, 125-164, Progr. Math., 269, Birkhäuser Boston, Inc., Boston, MA, 2009 arXiv:0612410
- Noncommutative differential calculus, homotopy BV algebras and formality conjectures, with D. Tamarkin math.KT/0002116, Metods of Functional Analysis and topology, 1, 2001
- Local formula for the index of a Fourier Integral Operator, with E. Leichtnam and R. Nest math.DG/0004022
- Riemann-Roch Theorems via deformation quantization I, with P. Bressler and R. Nest math.AG/9904121, to appear in Adv. Math.
- Riemann-Roch Theorems via deformation quantization II, with Paul Bressler and R. Nest, math.KT/0002115, , to appear in Adv. Math.
- Formality conjectures for chains, math.QA/9904132, AMS Translations, 194, 2,261-274
- Deformations of symplectic Lie algebroids, deformations of holomorphic symplectic structures, and index theorems, with R. Nest math.QA/9906020, to appear in Asian Mathematical Journal.
- Fukaya type categories for associative algebras, with R. Nest math.QA/9803140, Deformations and Quantizations, Ascona, 1996, Kluwer Publ. 1997
- On the cohomology ring of an algebra,with R. Nest math.QA/9803132, Advances in Geometry, Progress in Mathematics, 172, Birkhauser, 1997, 337-370

- Winter, 2012:
- MATH 234-0, Multiple integration and vector calculus
- Spring, 2012:
- MATH 440-3, Geometry and topology
- Summer, 2012:
- Quantum mechanics, Northwestern undergraduate conference Quantization and Mathematics, June 18-30, 2012

Spring School on Algebraic Microlocal Analysis at Northwestern

Northwestern Department of Mathematics

Geometric Langlands Seminar, University of Chicago

Geometric Functional Analysis at Penn State

Russian books

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