Semi-Infinite Algebraic Geometry of Quasi-Coherent Sheaves on Ind-Schemes: Quasi-Coherent Torsion Sheaves, the Semiderived Category, and the Semitenso

Leonid Positselski did his undergraduate studies in Moscow in 1988-93 and received his Ph.D. in Mathematics from Harvard University in 1998. After a series of postdoctoral positions in the U.S. and Europe, he returned to Moscow in 2003. His first book was published in 2005 and the second one in 2010. In 2011-14 he taught as an Associate Professor at the Faculty of Mathematics of the Higher School of Economics in Moscow. Positselski emigrated from Russia to Israel in Spring 2014. Since 2018, he works as a researcher at the Institute of Mathematics of the Czech Academy of Sciences in Prague.
Positselski is an algebraist specializing in Homological Algebra and homological aspects of various branches of the "algebraic half" of mathematics, including algebraic geometry, representation theory, commutative algebra, and algebraic K-theory. He is known for his work on Koszul algebras and derived Koszul duality, as well as curved DG-rings, coderived and contraderived categories, and contramodules. Positselski penned more than 45 research papers and two survey papers. He is the author of five books and memoirs, including "Quadratic Algebras" (joint with A. Polishchuk, AMS University Lecture Series, 2005), "Homological algebra of semimodules and semicontramodules: Semi-infinite homological algebra of associative algebraic structures" (Monografie Matematyczne IMPAN, Birkhäuser Basel, 2010), "Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence" (AMS Memoir, 2011), "Weakly curved A-infinity algebras over a topological local ring" (SMF Memoir, 2018-19), and "Relative nonhomogeneous Koszul duality" (Frontiers in Mathematics, Birkhäuser Switzerland, 2021-22).

Leonid Positselski於1988年至1993年在莫斯科完成本科學業，並於1998年獲得哈佛大學數學博士學位。在美國和歐洲擔任了一系列的博士後職位後，他於2003年返回莫斯科。他的第一本書於2005年出版，第二本則在2010年出版。在2011年至2014年間，他在莫斯科高等經濟學院數學系擔任副教授。Positselski於2014年春季從俄羅斯移民至以色列。自2018年以來，他在捷克科學院數學研究所擔任研究員。

Positselski是一位專注於同調代數及數學「代數半部」各個分支的同調方面的代數學家，包括代數幾何、表示論、交換代數和代數K理論。他以對Koszul代數和導出Koszul對偶的研究而聞名，還涉及曲面DG-環、共導和反導類別以及反模。Positselski撰寫了超過45篇研究論文和兩篇綜述論文。他是五本書籍和回憶錄的作者，包括《Quadratic Algebras》（與A. Polishchuk合著，AMS大學講座系列，2005年）、《Homological algebra of semimodules and semicontramodules: Semi-infinite homological algebra of associative algebraic structures》（Monografie Matematyczne IMPAN，Birkhäuser Basel，2010年）、《Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence》（AMS Memoir，2011年）、《Weakly curved A-infinity algebras over a topological local ring》（SMF Memoir，2018-19年）以及《Relative nonhomogeneous Koszul duality》（Frontiers in Mathematics，Birkhäuser Switzerland，2021-22年）。