Dmitri Pavlov

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Assistant Professor of Mathematics, Department of Mathematics and Statistics, Texas Tech University.

I am currently looking for Ph.D. students. Email me for additional information.

Email: dmitri.pavlov[remove this text]@ttu.edu.

Research interests: homotopy theory, higher differential geometry, D-modules and mixed Hodge modules, factorization algebras, functorial quantum field theory, Tomita–Takesaki theory.

Invited talks I have given. A complete list of talks is also available.

Curriculum Vitæ: DVI, PostScript, PDF.

Dmitri Pavlov's articles on arXiv.

arXiv:1611.10134

(with Jakob Scholbach) Modules over the de Rham cohomology spectrum.

arXiv:1602.01515

(with Owen Gwilliam) Enhancing the filtered derived category.
doi:10.1016/j.jpaa.2018.01.004 (Journal of Pure and Applied Algebra 222:11 (2018), 3621–3674).

arXiv:1510.04969

(with Jakob Scholbach) Homotopy theory of symmetric powers.
doi:10.4310/HHA.2018.v20.n1.a20 (Homology, Homotopy, and Applications 20:1 (2018), 359–397).

arXiv:1501.00967

(with Daniel Berwick-Evans) Smooth one-dimensional topological field theories are vector bundles with connection.
Submitted.

arXiv:1410.5699

(with Jakob Scholbach) Symmetric operads in abstract symmetric spectra.
doi:10.1017/S1474748017000202 (Journal of the Institute of Mathematics of Jussieu).

arXiv:1410.5675

(with Jakob Scholbach) Admissibility and rectification of colored symmetric operads.
doi:10.1112/topo.12008 (Journal of Topology 11:3 (2018), 559–601).

arXiv:1309.7856

Algebraic tensor products and internal homs of noncommutative L^p-spaces.
doi:10.1016/j.jmaa.2016.11.060 (Journal of Mathematical Analysis and Applications 456:1 (2017), 229–244).

Drafts

Brown representability via concordance. Manuscript in preparation.

(with Daniel Berwick-Evans and Pedro Boavida de Brito) Classifying spaces of infinity-sheaves. Manuscript in preparation.

(with Stephan Stolz and Peter Teichner) Differential cohomology via smooth topological field theories. Manuscript in preparation.

Noncommutative L_p-spaces of W*-categories and their applications to L_p-modules. Draft: PDF.

Jones index as a bicategorical trace. Draft: PDF.

Expository texts

A very gentle introduction to functorial field theory and Chern–Simons theory via bundle 2-gerbes. Handwritten notes of a series of lectures given at Texas Tech in Fall 2017 and Spring 2018.

Classification of irreducible representations of Heisenberg groups and algebras, notes of a talk given on December 11, 2007 at QFT Mini Conference at UC Berkeley: TeX, DVI, PostScript, PDF.