Dmitri Pavlov

Papers • Drafts • Notes • Software • People • Teaching • Resources

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

I have some funds available (summer salary) for student research. Please email me if you are interested.

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

Office hours: MF 3–3:50 p.m., MA 19D

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.

Previous positions: Regensburg (postdoc from October 2015 till August 2017), MPIM Bonn (visitor in September 2015), HIM Bonn (visitor from May 2015 till August 2015), Göttingen (postdoc from July 2014 till April 2015), Münster (postdoc from July 2011 till June 2014), Berkeley (graduate student from August 2007 till June 2011, advised by Peter Teichner).

Papers

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.
Accepted by the Journal of Pure and Applied Algebra.
arXiv:1510.04969
(with Jakob Scholbach) Homotopy theory of symmetric powers.
Accepted by Homology, Homotopy, and Applications.
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).
arXiv:1309.7856
Algebraic tensor products and internal homs of noncommutative Lp-spaces.
doi:10.1016/j.jmaa.2016.11.060 (Journal of Mathematical Analysis and Applications 456 (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 Lp-spaces of W*-categories and their applications to Lp-modules. Draft: PDF.

Jones index as a bicategorical trace. Draft: PDF.

Notes

Lectures on the Atiyah-Singer index theorem, notes for a Spring 2011 course by Peter Teichner.

Notes of Spring 2010 Physics for Topologists Seminar at UC Berkeley.

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.

Notes from Michael Hutchings' Spring 2008 course on Floer theory at UC Berkeley: TeX, DVI, PostScript, PDF.

Notes from Tsit-Yuen Lam's Fall 2007 course on finite group representation theory at UC Berkeley: TeX, DVI, PostScript, PDF.

Scans of papers by other authors.

Software

Scripts for mathematics: automatic downloading of full texts and bibliographic information based on title or repository id.

tspell, a spell checker for TeX files like aspell (using libaspell), but with a much better support for TeX.

jpegtopdf and jbig2topdf, programs to assemble a bunch of JPEG/JBIG2 files into a PDF file. The latter was used to produce the bilevel PDF files on the scans page.

Macros for Knuth's TeX system.

Git tutorial for mathematicians.

People

Academic ancestors: Peter Teichner • Matthias Kreck • Friedrich Hirzebruch • Heinz Hopf / Heinrich Behnke • Erhard Schmidt / Erich Hecke • David Hilbert • Ferdinand von Lindemann • Felix Klein • Julius Plücker • Christian Ludwig Gerling • Carl Friedrich Gauß • Johann Friedrich Pfaff

Collaborators: Tom Bachmann • Daniel Berwick-Evans • Pedro Boavida de Brito • Owen Gwilliam • Alex Kahle • Santosh Kandel • Jakob Scholbach • Stephan Stolz • Peter Teichner

Teaching

Fall 2017: Mathematics 2360 (Linear Algebra), Section 002, MWF 2–3 pm in MA 110. Syllabus, notes, Piazza, WebWork.

Resources

MathSciNet • zbMATH • arXiv • MathOverflow • Library Genesis • Sci-Hub • Google Scholar