He was awarded the Fields Medal in 1998

• Kontsevich, Maxim; Zagier, Don Periods. Mathematics unlimited---2001 and beyond, 771--808, Springer, Berlin, 2001.
• Kontsevich, Maxim; Soibelman, Yan Deformations of algebras over operads and the Deligne conjecture. Confirence Moshi Flato 1999, Vol. I (Dijon), 255--307, Math. Phys. Stud., 21, Kluwer Acad. Publ., Dordrecht, 2000.
• Kontsevich, M. Periods. Mathimatique et physique, 28--39, SMF Journ. Annu., 1999, Soc. Math. France, Paris, 1999. 11-02
• Kontsevich, M. L.; Suhov, Yu. M. Statistics of Klein polyhedra and multidimensional continued fractions. Pseudoperiodic topology, 9--27, Amer. Math. Soc. Transl. Ser. 2, 197, Amer. Math. Soc., Providence, RI, 1999.
• Kenyon, Richard; Brenier, Yann; Kontsevich, Maxime Mathimatique et physique. (French) [Mathematics and physics] SMF Journie Annuelle [SMF Annual Conference], 1999. Sociiti Mathimatique de France, Paris, 1999. iv+39 pp.
• Kontsevich, Maxim; Rosenberg, Alexander L. Noncommutative smooth spaces. The Gelfand Mathematical Seminars, 1996--1999, 85--108, Gelfand Math. Sem., Birkhduser Boston, Boston, MA, 2000.
• Pseudoperiodic topology. Edited by Vladimir Arnold, Maxim Kontsevich and Anton Zorich. American Mathematical Society Translations, Series 2, 197. Advances in the Mathematical Sciences, 46. American Mathematical Society, Providence, RI, 1999. xii+178 pp. ISBN: 0-8218-2094-X 57-06
• Kontsevich, M. Lyapunov exponents and Hodge theory. The mathematical beauty of physics (Saclay, 1996), 318--332, Adv. Ser. Math. Phys., 24, World Sci. Publishing, River Edge, NJ, 1997.
• Kontsevich, Maxim Formality conjecture. Deformation theory and symplectic geometry (Ascona, 1996), 139--156, Math. Phys. Stud., 20, Kluwer Acad. Publ., Dordrecht, 1997.
• Kontsevich, Maxim Homological algebra of mirror symmetry. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zrich, 1994), 120--139, Birkhduser, Basel, 1995.
• Kontsevich, Maxim Rigorous results in topological $\sigma$-model. XIth International Congress of Mathematical Physics (Paris, 1994), 47--59, Internat. Press, Cambridge, MA, 1995.
• Kontsevich, Maxim Enumeration of rational curves via torus actions. The moduli space of curves (Texel Island, 1994), 335--368, Progr. Math., 129, Birkhduser Boston, Boston, MA, 1995.
• Kontsevich, Maxim; Vishik, Simeon Geometry of determinants of elliptic operators. Functional analysis on the eve of the 21st century, Vol. 1 (New Brunswick, NJ, 1993), 173--197, Progr. Math., 131, Birkhduser Boston, Boston, MA, 1995.
• Kontsevich, Maxim Feynman diagrams and low-dimensional topology. First European Congress of Mathematics, Vol. II (Paris, 1992), 97--121, Progr. Math., 120, Birkhduser, Basel, 1994.
• Kontsevich, Maxim Vassiliev's knot invariants. I. M. Gel\cprime fand Seminar, 137--150, Adv. Soviet Math., 16, Part 2, Amer. Math. Soc., Providence, RI, 1993.
• Kontsevich, Maxim Formal (non)commutative symplectic geometry. The Gel\cprime fand Mathematical Seminars, 1990--1992, 173--187, Birkhduser Boston, Boston, MA, 1993.
• Kontsevich, M.; Manin, Yu. Gromov-Witten classes, quantum cohomology, and enumerative geometry [MR 95i:14049]. Mirror symmetry, II, 607--653, AMS/IP Stud. Adv. Math., 1, Amer. Math. Soc., Providence, RI, 1997.
• Kontsevich, Maxim Deformation quantization of algebraic varieties Lett. Math. Phys. 56 3 (2001) 271-294
• Kontsevich, Maxim Operads and motives in deformation quantization Lett. Math. Phys. 48 1 (1999) 35-72
• Kontsevich, Maxim Rozansky-Witten invariants via formal geometry Compositio Math. 115 1 (1999) 115-127
• Kontsevich, M.;Manin, Yu. Relations between the correlators of the topological sigma-model coupled to gravity Comm. Math. Phys. 196 2 (1998) 385-398
• Kontsevich, Maxim Product formulas for modular forms on ${rm O}(2,n)$ (after R. Borcherds) Asterisque 245 (1997) 41-56
• Barannikov, Sergey;Kontsevich, Maxim Frobenius manifolds and formality of Lie algebras of polyvector fields Internat. Math. Res. Notices 4 (1998) 201-215
• Alexandrov, M.;Schwarz, A.;Zaboronsky, O.;Kontsevich, M. The geometry of the master equation and topological quantum field theory Internat. J. Modern Phys. A 12 7 (1997) 1405-1429
• Kontsevich, M.;Manin, Yu. Gromov-Witten classes, quantum cohomology, and enumerative geometry Comm. Math. Phys. 164 3 (1994) 525-562
• Kontsevich, Maxim Intersection theory on the moduli space of curves and the matrix Airy function Comm. Math. Phys. 147 1 (1992) 1-23
• Kontsevich, M. L. Intersection theory on the moduli space of curves Funct. Anal. Appl. 25 2 (1991) 123-129

• Institute for Information Transmission Problems, AS USSR
• Institut des Hautes Études Scientifiques