Visitor at the Hausdorff Research Institute for Mathematics from May 2015 till August 2015. Office phone number: +49 228 73 62120.
Postdoc at the University of Göttingen, Germany from July 2014 till April 2015.
Postdoc at the University of Münster, Germany from July 2011 till June 2014.
Graduate student at the University of California, Berkeley from August 2007 till June 2011. Advised by Peter Teichner.
Research interests: geometric homotopy theory, model categories, functorial field theory, quantization, Tomita-Takesaki theory.
Email: pavlov[remove this text]@math.berkeley.edu.
Invited talks I have given. A complete list of talks is also available.
Also available on arXiv.
(with Daniel Berwick-Evans) Smooth one-dimensional topological field theories are vector bundles with connection. arXiv.
(with Jakob Scholbach) Symmetric operads in abstract symmetric spectra. arXiv.
(with Jakob Scholbach) Admissibility and rectification of colored symmetric operads. arXiv.
Algebraic tensor products and internal homs of noncommutative Lp-spaces. TeX, DVI, PostScript, PDF, arXiv.
(with Daniel Berwick-Evans and Pedro Boavida de Brito) Concordance theory of homotopy sheaves. Preliminary draft: PDF.
(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 bilbiographic information based on title or repository id.
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.
My 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
My collaborators: Daniel Berwick-Evans • Pedro Boavida de Brito • Owen Gwilliam • Jakob Scholbach • Stephan Stolz • Peter Teichner
MathSciNet • zbMATH • arXiv • Library Genesis • Sci-Hub • Google Scholar