Postdoc at the University of Göttingen, Germany from July 2014.
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: functorial field theory, quantization, differential homotopy theory, motives, topological modular forms, noncommutative geometry of higher Lie groupoids.
Email: pavlov[remove this text]@math.berkeley.edu.
A list of invited talks I have given. A complete list of talks is also available.
Also available on arXiv.
Algebraic tensor products and internal homs of noncommutative Lp-spaces. TeX, DVI, PostScript, PDF, arXiv.
(with Stephan Stolz and Peter Teichner) Differential cohomology via smooth topological field theories. Preliminary draft (please do not redistribute): PDF.
(with Daniel Berwick-Evans and Pedro Boavida de Brito) Concordance theory of homotopy sheaves. Preliminary draft: PDF.
(with Daniel Berwick-Evans and Pedro Boavida de Brito) K-theory as the classifying space of 1|1-dimensional Euclidean field theories. Preliminary draft: PDF.
(with Jakob Scholbach) Strictification of commutative ring spectra in model categories. Preliminary draft: PDF.
(with Jakob Scholbach) Higher algebraic cobordism groups. In preparation.
(with Daniel Berwick-Evans) Two-dimensional Yang-Mills theory and its quantization as a local functorial geometric field theory. In preparation.
Noncommutative Lp-spaces of W*-categories and their applications to Lp-modules. Preliminary draft: PDF.
Jones index as a bicategorical trace. Preliminary draft: PDF.
Tomita-Takesaki theory via modular algebras. In preparation.
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.
Ancient history: I passed my Ph.D. qualifying examination on August 25, 2008. Syllabus: TeX, DVI, PostScript, PDF. Transcript: TeX, DVI, PostScript, PDF.
Scans of papers by other authors.
article, a bash script to download a paper indexed by arXiv, Mathematical Reviews, or Zentralblatt MATH and save it under a file name like smith-brown-an-example-of-a-model-category.pdf.
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 available under the link above.
monitor, a Linux program that monitors a given file and runs a specified command whenever it is modified, moved, or deleted.
Macros for Knuth's TeX system.