Leonid Positselski's homepage

I am a mathematician specializing in Homological Algebra.  I have written papers about Koszul duality, semi-infinite cohomology, and Galois cohomology.

I am presently an acting Senior Researcher in the Sector of Algebra and Number Theory (http://www.iitp.ru/ru/researchlabs/277.htm) of the Institute for Information Transmission Problems.  Sometimes I teach advanced courses at the Independent University of Moscow (http://www.mccme.ru/ium/english/).

My preprints in the arXiv can be accessed from the link http://arxiv.org/a/positselski_l_1.html or http://arxiv.org/a/positselski_l_1.atom 

My monograph "Homological algebra of semimodules and semicontramodules", containing appendices written in collaboration with Sergey Arkhipov (http://www.math.toronto.edu/cms/arkhipov-sergey/) and Dmitriy Rumynin (http://www2.warwick.ac.uk/fac/sci/maths/people/staff/dmitriy_rumynin/), is planned to be published by Birkhauser Basel in 2010. See http://www.springer.com/birkhauser/mathematics/book/978-3-0346-0435-2

My Spring 2009 lectures on the comodule-contramodule correspondence and representations of infinite-dimensional Lie algebras (in Russian) are available from http://club.pdmi.ras.ru/moodle/course/view.php?id=10

My book "Quadratic Algebras", written jointly with Alexander Polishchuk (http://www.uoregon.edu/~apolish/), was published by the American Mathematical Society in 2005.  See http://www.ams.org/bookstore?fn=20&arg1=ulectseries&item=ULECT-37

I received my Ph.D. from Harvard University in 1998.  An expanded version of my thesis is available from the K-theory preprint archives at http://www.math.uiuc.edu/K-theory/0730/

My very first paper was published by Functional Analysis and its Applications in 1991.  See http://mi.mathnet.ru/rus/faa/v25/i4/p74 (Russian; notice the mistake in the title) or http://dx.doi.org/10.1007/BF01080085 (English).

My other coauthors are Roman Bezrukavnikov (http://en.wikipedia.org/wiki/Roman_Bezrukavnikov), Alexander Braverman (http://research.brown.edu/myresearch/Alexander_Braverman), and Alexander Vishik (http://www.maths.nottingham.ac.uk/personal/index.html/homepage.php?initials=av).

I cannot undertake to mention here all my teachers, but most of the mathematics I ever knew I learned from Michael Finkelberg (http://www.hse.ru/org/persons/2806441/index.html) and Arkady Vaintrob (http://www.uoregon.edu/~vaintrob/).

To see my photograph, click on the link "Person profile" in the left frame.  To access the list of my publications with hyperlinks, click on the "Publications" link.  My extended CV with a research summary (outdated) is available from http://www.iitp.ru/upload/content/277/posicelskiCV.pdf

Draft versions of my unfinished works are being posted from time to time on the page http://positselski.narod.ru 

My questions and answers on mathoverflow.net can be accessed through the page http://mathoverflow.net/users/2106/