List of Publications - Dmitry Tamarkin


  1. Another proof of M. Kontsevich's formality conjecture. Doctoral thesis, Penn. State University, 1999.

Published Papers

  1. Topological invariants of connections over symplectic manifolds, Funct. Anal. Appl. 29 (1995), no. 4, 258-267.
    Translated from Funktsional. Anal. i Prilozh. 29 (1995), no. 4, 45-56.
  2. Quantization of Poisson structures on R2, Electron. Res. Announc. Amer. Math. Soc. 3 (1997), 119-120.
  3. (with Philip A. Foth) Generalized topological index, K-Theory 12 (1997), no. 4, 361-369.
  4. Fedosov connections on Kähler symmetric manifolds and trace density computation, J. Differential Geom. 50 (1998), no. 2, 387-413.
  5. (with Boris Tsygan) Noncommutative differential calculus, homotopy BV algebras and formality conjectures, Methods Funct. Anal. Topology 6 (2000), no. 2, 85-100.
  6. (with Boris Tsygan) Cyclic formality and index theorems, EuroConférence Moshé Flato 2000, Part II (Dijon). Lett. Math. Phys. 56 (2001), no. 2, 85-97.
  7. Quantization of Lie bialgebras via the formality of the operad of little disks, Deformation quantization (Strasbourg, 2001), 203-236, IRMA Lect. Math. Theor. Phys., 1, de Gruyter, Berlin, 2002.
  8. Deformations of chiral algebras, Proceedings of the International Congress of Mathematicians, Vol. II, (Beijing, 2002), 105-116, Higher Ed. Press, Beijing, 2002.
  9. Formality of chain operad of little discs, Lett. Math. Phys. 66 (2003), no. 1-2, 65-72.
  10. (with Boris Tsygan) The ring of differential operators on forms in noncommutative calculus, Graphs and patterns in mathematics and theoretical physics, 105-131, Proc. Sympos. Pure Math., 73, Amer. Math. Soc., Providence, RI, 2005.
  11. Quantization of Lie bialgebras via formality of the operad of little disks, revision and expansion of [8]. To appear, Geom. Funct. Anal.
  12. What do DG categories form? To appear, Compositio Math.
  13. (with V. Dolgushev and B. Tsygan) The homotopy Gerstenhaber algebra of Hochschild cochains of a regular algebra is formal. To appear, Journal of Noncommutative Geometry.


  1. Deformation complex of a d-algabra is a d+1-algebra.
  2. Action of the Grothendieck-Teichmueller group on the operad of Gerstenhaber algebras.
  3. A formalism for the renormalization procedure.