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.
Brown representability via concordance. Manuscript in preparation.
(with Daniel Berwick-Evans and Pedro Boavida de Brito) Classifying spaces of infinity-sheaves. 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.
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.
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.
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.
Spring 2019: Mathematics 5325 (Topology II), TuTh 11–12:30 in MA 113. Syllabus, notes.
Fall 2018: Mathematics 5324 (Topology I), TuTh 11–12:30 in MA 113. Syllabus, notes. Midterm 1, Midterm 2.
Fall 2018: Mathematics 5365 (Analysis of Algorithms), TuTh 12:30–2 in MA 113. Syllabus, homework: 1, 2, 3. Midterm 1, Midterm 2.
Spring 2018: Mathematics 6325 (Category Theory), MWF 9–10 in MA 115. Office hours: MWF 3–4 in MA 19D. Syllabus, notes, homework: 1, 2, 3.
Fall 2017: Mathematics 2360 (Linear Algebra), Section 002, MWF 2–3 in MA 110. Syllabus, notes.
MathSciNet • zbMATH • arXiv • MathOverflow • Kerodon • Library Genesis • Sci-Hub 1 • Sci-Hub 2 • Sci-Hub 3 • Google Scholar
My sister's paintings