Publications

Selected Publications

Equivariant Quantization, Schwarzian Derivatives, and Differential Geometry

• (With V. Ovsienko) Three Cocycles on Diff(S1) Generalizing the Schwarzian Derivative, Int. Math. Res. Not., (1998), No. 1, 25-39.

• Projectively Equivariant Quantization Map, Letters in Math. Phys., 51:4,  (2000), 265-274.

• Projective and Conformal Schwarzian Derivatives and Cohomology of Lie Algebras of Vector Fields Related to Differential Operators, Inter. J. of Geom. Methods in Mod. Phys., 3, no. 4, (2006), 667-696.

• On sl(2)-relative Cohomology of the Lie Algebra of Vector Fields and Differential Operators, J. Nonlinear Math. Phys., 14, no. 1, (2007), 112-127.

• (With V. Ovsienko) Riemannian Curl in Contact Geometry, Int. Math. Res. Not., (2015), no. 12, 3917-3942.

Modular Lie Superalgebras and Lie Theory

• (With P. Grozman and D. Leites) New Simple Modular Lie Superalgebras as Generalized Prolongs, Funct. Anal. and its Appl. 42, no. 3, (2008), 161-168.

• (With P. Grozman and D. Leites) Classification of Finite-Dimensional Modular Lie Superalgebras with Indecomposable Cartan Matrix, SIGMA, no. 5, (2010), 063, 63p. 

• (With S. Benayadi) Double Extensions of Lie Superalgebras in Characteristic 2 with Nondegenerate Invariant Supersymmetric Bilinear Form, J.  Algebra, 510,  (2018), 141-179.

• (With A. Lebedev, D. Leites and I. Shchepochkina) Classification of Simple Lie Superalgebras in Characteristic 2, Int. Math. Res. Not., no.1 (2023), 54-94.

Nonassociative Algebras and Related Structures

• (With F. Mashurov) On Zinbiel and Tortkara Superalgebras, Bull. Braz. Math. Soc. (N.S.), 2025,  56-49.

• (With Q. Ehret and S. Benayadi), Left-Symmetric Superalgebras and Lagrangian Extensions of Lie Superalgebras in Characteristic 2, J. Pure Appl. Algebra, 229, 2025. 

• (With S. Benayadi and H. El Ouali) Pseudo-Euclidean Novikov Superalgebras: Structure and Properties, (Preprint), 2026.