Agenda

Appointments, conferences, meetings, events, visits, plans, & c. & c.

Agenda

Curriculum Vitae

Only as up-to-date as my patience will allow. Last update: August 2007

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D-Crystals

July 2006. Algebraic K-Theory in Oberwolfach. The (∞, 1)-category of D-crystals is a surrogate for the ∞-category of complexes of D-modules (i.e., modules over the ring of differential operators) that is well-behaved for arbitrary varieties, irrespective of characteristic or smoothness assumptions.

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∞-Groupoids, Stacks, and Segal Categories

December 2004. Lecture Series at the Mathematisches Institut Georg-August Universität Göttingen. Motivated by conjectures from K-theory, I provide a series of motivations for and the outlines of a theory of descent for higher categories.

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On the Dreaded Right Bousfield Localization

[arXiv:0708.3435] I introduce some technologies in the theory of right semimodel categories and right Bousfield localizations and present some elementary applications. In particular, I show that any tractable right semimodel category has a right Bousfield localization with respect to a set of objects, and I make use of this result to construct homotopy limits of left Quillen presheaves.

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On Reedy Model Categories

[arXiv:0708.2832] I introduce some elementary results on the structure and functoriality of Reedy model categories. I give a very useful little criterion to determine whether composition with a morphism of Reedy categories determines a left or right Quillen functor, and I use it to determine the conditions under which the Reedy model structure on diagrams valued in a symmetric monoidal model category is itself symmetric monoidal.

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On (Enriched) Left Bousfield Localizations of Model Categories

[arXiv:0708.2067] I introduce some technologies in the theory of combinatorial model categories and enriched model categories and to present some elementary applications. In particular, I give a brief but relatively complete exposition of the theory of tractable (enriched) model categories and (enriched) left Bousfield localizations, and I give a series of applications to diagram categories, section categories, homotopy limits of homotopy theories, Postnikov towers in model categories, and sheaf theory.

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