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Algebraic Groups and Number Theory
This milestone work on the arithmetic theory of linear algebraic groups is now available in English for the first time. Algebraic Groups and Number Theory provides the first systematic exposition in mathematical literature of the junction of group theory, algebraic geometry, and number theory. The exposition of the topic is built on a synthesis of methods from algebraic geometry, number theory, analysis, and topology, and the result is a systematic overview ofalmost all of the major results of the arithmetic theory of algebraic groups obtained to date.
Algebraic Groups and Number Theory: Volume 1
The first edition of this book provided the first systematic exposition of the arithmetic theory of algebraic groups. This revised second edition, now published in two volumes, retains the same goals, while incorporating corrections and improvements, as well as new material covering more recent developments. Volume I begins with chapters covering background material on number theory, algebraic groups, and cohomology (both abelian and non-abelian), and then turns to algebraic groups over locally compact fields. The remaining two chapters provide a detailed treatment of arithmetic subgroups and reduction theory in both the real and adelic settings. Volume I includes new material on groups with bounded generation and abstract arithmetic groups. With minimal prerequisites and complete proofs given whenever possible, this book is suitable for self-study for graduate students wishing to learn the subject as well as a reference for researchers in number theory, algebraic geometry, and related areas.
Andrei Platonov
This is a 1992 study in English of a writer who belongs to a Russian philosophical tradition that includes Bakhtin and Pasternak.
Putin’s Dark Ages
Two decades before the war against Ukraine, a “special operation” was launched against Russian historical memory, aggressively reshaping the nation’s understanding of its history and identity. The Kremlin’s militarization of Russia through World War II propaganda is well documented, but the glorification of Russian medieval society and its warlords as a source of support for Putinism has yet to be explored. This book offers the first comparison of Putin’s political neomedievalism and re-Stalinization and introduces the concept of mobmemory to the study of right-wing populism. It argues that the celebration of the oprichnina, Ivan the Terrible’s regime of state terror (1565–1572), has been fused with the rehabilitation of Stalinism to reconstruct the Russian Empire. The post-Soviet case suggests that the global obsession with the Middle Ages is not purely an aesthetic movement but a potential weapon against democracy. The book is intended for students, scholars, and non-specialists interested in understanding Russia’s anti-modern politics and the Russians’ support for the terror unleashed against Ukraine.
Algebraic Groups and Number Theory
The first volume of a two-volume book offering a comprehensive account of the arithmetic theory of algebraic groups.
Collected Works
None
A Companion to Andrei Platonov's The Foundation Pit
Written at the height of Stalin's first "five-year plan" for the industrialization of Soviet Russia and the parallel campaign to collectivize Soviet agriculture, Andrei Platonov's The Foundation Pit registers a dissonant mixture of utopian longings and despair. Furthermore, it provides essential background to Platonov's parody of the mainstream Soviet "production" novel, which is widely recognized as one of the masterpieces of twentieth-century Russian prose. In addition to an overview of the work's key themes, it discusses their place within Platonov's oeuvre as a whole, his troubled relations with literary officialdom, the work's ideological and political background, and key critical responses since the work's first publication in the West in 1973.
Algebraic Groups and Number Theory
"This is the first volume of a two-volume book that offers an in-depth, and essentially self-contained, treatment of the arithmetic theory of algebraic groups. It is accessible to graduate students and researchers in number theory, algebraic geometry, and related areas"--
