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Group Theoretical Methods in Physics. Yurmala,. Vol.. P. . VNU Sci. Press, Utrecht,.

. : , (c . . ) // . .. ., . . . English: Russian Math. Surveys.. Vol., . P. .

. Cubic Forms: Algebra, Geometry, Arithmetic. nd edition, revised and completed. Amsterdam: North Holland,. p.

. Bevezets a kiszmithatsag matematikai elmletbe. Budapest: M e a o ee u szaki Knyvvkiad,. p. (. . . o o ).

. Quantum strings and algebraic curves // Proc. Int. Congr. of Math.

Berkeley, ;

Providence RI: AMS,. Vol.. P. .

. Some remarks on Koszul algebras and quantum groups // Ann. Inst.

Fourier.. Vol., . P. .

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English: Func. Anal. Appl.. Vol., . P. .

. . . Sheaves of the Virasoro and Neveu-Schwarz algebras (with A. A. Bei linson, V. V. Shechtman) // Springer Lecture Notes in Math..

Vol.. P. .

. A superanalog of the Selberg trace formula and multiloop con tribution for fermionic string (with M. A. Baranov, I. V. Frolov, A. S. Schwartz) // Comm. Math. Phys.. Vol.. P. .

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C. .

. // .. . . .

. // . .. . .

. Quantum groups and non-commutative geometry. Montreal Univer sity Press,. p.

. Neveu-Schwarz sheaves and differential equations for Mumford superforms // Journal of Geometry and Physics.. Vol., .

P. .

. Brouwer Memorial Lecture- // Nieuw Arch. Wisk.. Vol. (), . P. .

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. . . I: ( . . ). .:

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. Gauge Field Theory and Complex Geometry. Springer Verlag,.

p.

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. Arrangements of hyperplanes, higher braid groups, and higher Bru hat orders (with V. V. Schechtman) // Advanced Studies in Pure Math. Academic Press,. Vol.. Algebraic Number Theory.

P. .

. . . Rational points of bounded height on Fano varieties (with J. Franke, Yu. Tschinkel) // Inv. Math.. Vol., . P. .

. Multiparametric quantum deformation of the general linear super group // Comm. Math. Phys.. Vol., . P. .

. Determinants of Laplacians on Riemann surfaces // Conformal In variance and string theory (Poiana Brasov, ). Boston, MA: Aca demic Press,. P. .

. Reections on arithmetical physics // Conformal Invariance and string theory (Poiana Brasov, ). Boston, MA: Academic Press,. P. .

. The formalism of left and right connections on supermanifolds (with I. B. Penkov) // Lectures on Supermanifolds, Geometrical Methods and Conformal Groups. World Scientic,. P. .

. Strings // Math. Intelligencer.. Vol., . P. .

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. ., . English: Math. USSR Izvestia.. Vol., .

P. .

. Linear Algebra and Geometry (with A. I. Kostrikin). Gordon and Breach,. p.

. Elementary Particles: Mathematics, Physics and Philosophy (with I. Yu. Kobzarev). Dordrecht: Reidel,. p.

. Sur le nombre des points rationnels de hauteur borne des varits e ee algbriques (with V. V. Batyrev) // Math. Annalen.. Vol., e . P. .

. Non-standard quantum deformations of GL(n) and constant solu tions of the YangBaxter equation (with E. E. Demidov, E. E. Mukhin, D. V. Zhdanovich) // Progress of Theor. Phys. Supplement..

Vol.. P. .

. Quantized theta-functions Common trends in mathematics and quan tum eld theories (Kyoto, ) // Progress of Theor. Phys. Supple ment,, . P. .

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. Mathematics as metaphor // Proc. of ICM. Kyoto,. Vol. II.

P. . The AMS and Springer Verlag.

. . . Three-dimensional hyperbolic geometry as -adic Arakelov geome try // Inv. Math.. Vol., . P. .

. Quantum Groups // Nederl. Acad. Wetensch. Verslag, Afd. Natuurk.

. Vol.. P. .

. Topics in Non-commutative Geometry. Princeton University Press,. p.

. Notes on quantum groups and quantum de Rham complexes // Teoreticheskaya i Matematicheskaya Fizika.. Vol., .

P. .

. // Arbor Mundi / . . . .

. . . .

. Notes on the arithmetic of Fano threefolds // Comp. Math..

Vol., . P. .

. Points of bounded height on del Pezzo surfaces (with Yu. Tschin kel) // Comp. Math.. Vol.. P. .

. Homological Algebra (with S. I. Gelfand) // Enc. of Math. Sci.

Springer Verlag,. Vol.. p.

. Gromov-Witten classes, quantum cohomology, and enumerative ge ometry (with M. Kontsevich) // Comm. Math. Phys.. Vol., . P. .

. Lectures on zeta functions and motives (according to Deninger and Kurokawa) // Columbia University Number Theory Seminar, Astrisque.. Vol., . P. .

e. Number Theory I. Fundamental Problems, Ideas and Theories (with A. Panchishkin) // Enc. of Math. Sci. Vol.. Springer Verlag,.

p.

. Generating functions in algebraic geometry and sums over trees // The Moduli Space of Curves / Ed. by R. Dkgraaf, C. Faber, G. van der Geer. Progress in Math. Birkhuser,. P. .

a . . . Problems on rational points and rational curves on algebraic varieties // Surveys in Differential Geometry. Int. Press,. Vol..

P. .

. Quantum cohomology of a product (with M. Kontsevich, Appendix by R. Kaufmann) // Inv. Math.. Vol.. . P. (Remmerts Festschrift).

. Quantum groups and algebraic groups in noncommutative geome try // Quantum Groups and their Applications in Physics / d. by L. Castellani and J. Wess, Proc. of the Int. School of Physics Enrico Fermi. Amsterdam: IOS Press,. P. .

. Distribution of rational points on Fano varieties // Publ. RIMS Kokyuroku. Analytic Number Theory,. P. .

. Automorphic pseudodifferential operators (with P. B. Cohen and D. Zagier) // Algebraic Aspects of Integrable Systems (in memory of Irene Dorfman) / Ed. by A. S. Fokas, I. M. Gelfand, Birkhuser.

a Boston,. P. .

. Stacks of stable maps and GromovWitten invariants (with K. Beh rend) // Duke Math. Journ.. Vol., . P. .

. Higher WeilPetersson volumes of moduli spaces of stable n-pointed curves (with R. Kaufmann, D. Zagier.) // Comm. Math. Phys..

Vol., . P. .

. Selected Papers // World Scientic Series in th Century Mathemat ics. Vol.. Singapore: World Sci.,. xii+ p.

. Methods of homological algebra (with S. I. Gelfand, translation of ) // Enc. of Math. Sci. Vol.. Springer Verlag,. Algebra V.

xv+ p.

. MordellWeil Problem for cubic surfaces // Advances in the Math ematical SciencesCRMs Years / Ed. L. Vinet. P. ;

CRM Proc. Amer. Math. Soc. Lecture Notes. Amer. Math. Soc. Providence, RI,. Vol..

. Semisimple Frobenius (super)manifolds and quantum cohomology of Pr (with S. A. Merkulov) // Topological Methods in Nonlinear Analysis.. Vol., . P. (Ladyzhenskayas Festschrift).

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. . . Gauge Field Theory and Complex Geometry. Second Edition (with Appendix by S. Merkulov). Springer Verlag,. XII+ p.

. Linear Algebra and Geometry (with A. I. Kostrikin). Paperback Edi tion;

Gordon and Breach,. ix+ p.

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. Sixth Painlev equation, universal elliptic curve, and mirror of P2 // e Geometry of Differential Equations / Ed. by A. Khovanskii, A. Var chenko, V. Vassiliev. Amer. Math. Soc. Transl. (). Vol.. P. .

e-print alg-geom/.

. Relations between the correlators of the topological sigma-model coupled to gravity (with M. Kontsevich) // Comm. Math. Phys..

Vol., . P. . e-print alg-geom/.

. Stable maps of genus zero to ag spaces // Topological Meth ods in Nonlinear Analysis.. Vol., . P. ;

(Mosers Festschrift). Corrections.. Vol.. P.. e-print math.AG/.

. Interrelations between mathematics and physics // Sminaires et e Congr`s. Soc. Math. de France., . P. .

e. Truth, rigour, and common sense // Truth in Mathematics / Ed. by H. G. Dales and G. Oliveri. Oxford: Clarendon Press,. P. .

. Three constructions of Frobenius manifolds: a comparative study // Asian Journal Math.. Vol., . P. (Atiyahs Fest schrift). e-print math.QA/.

. Weak Frobenius manifolds (with C. Hertling) // Int. Math. Res.

Notices.. . P. . e-print math.QA/.

. The work of Maxim Kontsevich // Notices of the AMS. Jan..

P. .

. Homological algebra (with S. I. Gelfand). Springer Verlag,.

p.

. Frobenius manifolds, quantum cohomology, and moduli spaces // AMS Colloquium Publications. Providence, RI,. Vol.. xiii+ p.

. . . Classical computing, quantum computing, and Shors factoring algorithm // Sminaire Bourbaki. Vol. / ;

Astrisque..

e e Vol.. Exp. ,. P. . e-print quant-ph/. Invertible Cohomological Field Theories and WeilPetersson volumes (with P. Zograf) // Ann. Ist. Fourier.. Vol., . P. .

e-print math.AG/. New moduli spaces of pointed curves and pencils of at connections (with A. Losev) // Fultons Festschrift, Michigan Journ. of Math.

. Vol.. P. . e-print math.AG/. Mathematics as profession and vocation // Mathematics: Frontiers and Perspectives / Ed. by V. Arnold et al. AMS,. P. .

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. Mathematics: recent developments and cultural aspects // Science and the Future of Mankind. Proceedings, Pontical Ac. Sci. Vatican,. P. ;

Max Planck Research, Sci. Mag. of the Max Planck Society... P. .

. Composition of points and Mordell-Weil problem for cubic surfaces (with D. Kanevsky) // Rational Points on Algebraic Varieties / Ed. by E. Peyre, Yu. Tschinkel (Progress in Mathematics). Basel: Birkhuser, a. Vol.. P. . e-print math.AG/. Theta functions, quantum tori and Heisenberg groups // Letters in Math. Physics.. Vol., . (Special issue, Euroconference M. Flato. Part III). P. . e-print math.AG/. Mirror symmetry and quantization of abelian varieties // Moduli of Abelian Varieties / Ed. by C. Faber et al. Progress in Math. Vol..

Birkhuser,. P. . e-print math.AG/ a. Modules and Morita theorem for operads (with M. Kapranov) // Am.

Journal of Math.. Vol., . P. . e-print math.QA/.

. Moduli, Motives, Mirrors // European Congress of Mathematicians.

Barcelona,. Vol.. Progress in Math. Vol.. Birkhuser,.

a P. . e-print math.AG/ . . . Holography principle and arithmetic of algebraic curves (with M. Marcolli) // Adv. Theor. Math. Phys.. Vol., . P. .

e-print hep-th/. / [] // ..

(). . .

. Continued fractions, modular symbols, and non-commutative geom etry (with M. Marcolli) // Selecta math. New ser.. Vol.. P. . e-print math.NT/. Triangle of Thoughts (review of the book by A. Connes, A. Lichne rowicz, M. P. Schtzenberger) // Notices of the AMS. March,.

u P. .

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. Methods of homological algebra. Second edition (with S. Gelfand) // Springer Monographs in Mathematics. Berlin: Springer Verlag,.

xx+ p.

. Unfoldings of meromorphic connections and a construction of Frobenius manifolds (with C. Hertling) // Frobenius Manifolds / Ed.

by C. Hertling, M. Marcolli. Wiesbaden: Vieweg & Sohn Verlag,.

P. . e-print math.AG/. Extended modular operad (with A. Losev) // Frobenius Manifolds / Ed. by C. Hertling and M. Marcolli. Wiesbaden: Vieweg & Sohn Verlag,. P. . e-print math.AG/. Functional equations for quantum theta functions // Publ. Res. Inst.

Mat. Sci. Kyoto.. Vol., . P. . e-print math.AG/. Multiple zeta-motives and moduli spaces M 0,n (with A. Goncha rov) // Compos. Math.. Vol., . P. . e-print math.AG/. Real multiplication and noncommutative geometry // The legacy of Niels Henrik Abel / Ed. by O. A. Laudal and R. Piene. Berlin: Springer Verlag,. P. . e-print math.AG/. Moduli stacks L g,S. // Moscow Math. Journal.. Vol., .

P. . e-print math.AG/ . . . (Semi)simple exercises in quantum cohomology (with A. Bayer) // The Fano Conference Proceedings / Ed. by A. Collino, A. Conte, M. Marchisio. Universit di Torino,. P. . e-print math.

a AG/. Georg Cantor and his heritage // Algebraic Geometry: Methods, Relations, and Applications: Collected papers dedicated to the memory of Andrei Nikolaevich Tyurin. Proc. V. A. Steklov Inst. Math.

Moscow. Vol.. MAIK Nauka/Interperiodica,. P. .

e-print math.AG/. - // . . .. .. . .

. // . . .. .. . .

. F-manifolds with at structure and Dubrovins duality // Advances in Math. (M. Artins Fest).. Vol. P. . e-print math.DG/. Introduction to modern number theory (with A. A. Panchishkin). nd edition, revised and expanded // Encyclopaedia of Mathematical Sciences. Berlin: Springer-Verlag,. Vol.. xv+ p.

. Von Zahlen und Figuren // Gomtrie au XXe si`cle. Histoire et ee e horizons / Ed. J. Kouneiher, D. Flament, Ph. Nabonnand, J.-J. Szcze ciniarz. Paris: Hermann,. P. . e-print math.AG/. Iterated Shimura integrals // Moscow Math. Journal.. Vol., . P. . e-print math.AG/. Iterated integrals of modular forms and noncommutative modular symbols // Algebraic Geometry and Number Theory. In honor of V. Drinfelds th birthday / Ed. V. Ginzburg. Progress in Math.

Vol.. Boston: Birkhuser,. P. . e-print math.NT/ a.

. Manifolds with multiplication on the tangent sheaf // Rendiconti Mat. Appl. Ser. VII.. Vol.. P. . e-print math.AG/. The notion of dimension in geometry and algebra // Bull. of the American Math. Soc.. Vol., . P. . e-print math.AG/ . . . Stability Conditions, wall-crossing and weighted GromovWitten Invariants (with Arend Bayer). p. e-print math.AG/. Generalized operads and their inner cohomomorhisms (with D. Bo risov). p. e-print math.CT/. Lectures on modular symbols. p.

. Mathematical knowledge: internal, social and cultural aspects // Mathematics and Culture / Ed. by C. Bartocci and P. Odifreddi..

Vol.. Introductory Chapter. p. e-print math.HO/. Modular shadows (with M. Marcolli). e-print math.NT/

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