Email: pavlov[remove this text]@math.berkeley.edu.
Postdoc at the University of Regensburg from October 2015.
Office M 005, phone: +49 941 943 4907.
Previous positions: 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).
Research interests: geometric homotopy theory, abstract homotopy theory, factorization algebras, functorial field theory, Tomita-Takesaki theory.
Invited talks I have given. A complete list of talks is also available.
A list of papers is also available from arXiv.
(with Jakob Scholbach) Modules over the de Rham cohomology spectrum. arXiv:1611.10134.
(with Owen Gwilliam) Enhancing the filtered derived category. Accepted for publication by the Journal of Pure and Applied Algebra. arXiv:1602.01515.
(with Jakob Scholbach) Homotopy theory of symmetric powers. Submitted. arXiv:1510.04969.
(with Daniel Berwick-Evans) Smooth one-dimensional topological field theories are vector bundles with connection. Submitted. arXiv:1501.00967.
(with Jakob Scholbach) Symmetric operads in abstract symmetric spectra. Submitted. arXiv:1410.5699.
(with Jakob Scholbach) Admissibility and rectification of colored symmetric operads. Accepted for publication by the Journal of Topology. arXiv:1410.5675.
Algebraic tensor products and internal homs of noncommutative Lp-spaces. Accepted for publication by the Journal of Mathematical Analysis and Applications. arXiv:1309.7856.
(with Yury Lifshits) Potential theory for mean payoff games. Journal of Mathematical Sciences (Springer) 145:3 (2007), 4967--4974.
Brown representability via concordance. Preliminary draft: PDF.
(with Daniel Berwick-Evans and Pedro Boavida de Brito) Classifying spaces of homotopy sheaves. Manuscript in preparation.
(with Stephan Stolz and Peter Teichner) Differential cohomology via smooth topological field theories. Preliminary draft (please do not redistribute): PDF.
Noncommutative Lp-spaces of W*-categories and their applications to Lp-modules. Preliminary draft: PDF.
Jones index as a bicategorical trace. Preliminary draft: PDF.
In Spring 2011 I took notes for a course by Peter Teichner on the Atiyah-Singer index theorem.
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.
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.
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: Daniel Berwick-Evans • Pedro Boavida de Brito • Owen Gwilliam • Alex Kahle • Santosh Kandel • Jakob Scholbach • Stephan Stolz • Peter Teichner
MathSciNet • zbMATH • arXiv • Library Genesis • Sci-Hub • Google Scholar