My current research is concerned with algebraic operads, their generalizations and related structures. The questions I am working on are motivated by the study of embedding spaces, deformation quantization, and Drinfeld's Grothendieck-Teichmueller group which, in turn, has links to the absolute Galois group of rational numbers and the theory of motives.

Deformation Theory Seminar at Penn.

Slides of some selected talks

Handwritten lectures on deformation quantization and the corresponding homework sets.
The software related to my joint paper with Geoffrey Schneider. This software allows one to compute Tamarkin's Ger-infinity structure on Hochschild cochains recursively. The documentation for this software can be found here.
The algebraic index theorem can be applied to the study of energy bands of molecular systems.

I serve on the editorial board of Tbilisi Mathematical Journal.

I came from a family of mathematicians.

Few articles of my father Alexandr N. Dolgushev are available on MathSciNet.

An article of my mother Nadezda V. Dolgusheva is also available on MathSciNet.