4,491 research outputs found

    The concept of "character" in Dirichlet's theorem on primes in an arithmetic progression

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    In 1837, Dirichlet proved that there are infinitely many primes in any arithmetic progression in which the terms do not all share a common factor. We survey implicit and explicit uses of Dirichlet characters in presentations of Dirichlet's proof in the nineteenth and early twentieth centuries, with an eye towards understanding some of the pragmatic pressures that shaped the evolution of modern mathematical method

    Monoids in the mapping class group

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    In this article we survey, and make a few new observations about, the surprising connection between sub-monoids of mapping class groups and interesting geometry and topology in low-dimensions.Comment: 36 pages, 18 figure

    From Prefix Capitalism to Neoliberal Economism: Russia as a Laboratory in Capitalist Realism

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    This exploratory and review essay views Russia as a particular state-capital accommodation-assemblage characterized by neoliberal subjectivization of the population in a particularly stark manner. This argument is a departure from perspectives on Russia as a semi-periphery, instead proposing its thorough incorporation into the current moment of global capitalism. While 'state capitalism' has analytical purchase, 'authoritarian neoliberalism' is proposed as a more sharply focussed lens in examining Russia in the global context. This is important too in reorienting political economy to accommodate more grounded methodologies, including ethnography and other empirically subjective accounts. While beyond the scope of the essay, existing ethnographic accounts and empirical materials - particularly relating to Special Economic Zones in Russia are incorporated in the argument. In making its argument, the essay reviews the contribution of Foucauldian approaches to neoliberalism and neomarxian political economy. Then it reviews the varieties of capitalism approaches and their critics as well as the debates on state capitalism pertaining to Russia by Ilya Matveev, and as pertaining to state capitalism in general. Further the essay reviews recent work on Eastern Europe as providing examples of vanguard authoritarian neoliberal governance. Finally, this approach allows the essay to argue that Russia is not only a 'normal country', but that it anticipates contemporary developments towards more post-democratic capitalist futures, along with their counter-currents
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