Higher Topos Theory

Higher Topos Theory

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In 'Higher Topos Theory', Jacob Lurie presents the foundations of this theory using the language of weak Kan complexes introduced by Boardman and Vogt, and show

Weil's Conjecture for Function Fields

Weil's Conjecture for Function Fields

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A central concern of number theory is the study of local-to-global principles, which describe the behavior of a global field K in terms of the behavior of vario

Mathematics without Apologies

Mathematics without Apologies

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An insightful reflection on the mathematical soul What do pure mathematicians do, and why do they do it? Looking beyond the conventional answers—for the sake