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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.
Research interests: homotopy theory, higher differential geometry, functorial field theory, factorization algebras, derived manifolds, synthetic differential geometry, Tomita–Takesaki theory, locales and toposes.
Invited talks I have given. A complete list of talks is also available.
Dmitri Pavlov's articles on arXiv.
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.
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, PDF.
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.
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.
jbig2topdf, a program to assemble a bunch of JBIG2 files into a PDF file, which was used to produce the bilevel PDF files on the scans page.
Graduated PhD students:
Topology and Geometry Seminar.
Summer Seminar and Winter Seminar.
Spring 2021: Mathematics 5399.002 (Introduction to Modern Algebra II), TuTh 9:30–11 in MA 17. Syllabus, handwritten notes by Jack Weiland, homework 1, 2.
Spring 2021: Mathematics 2360.022 (Linear Algebra), TuTh 11–12:30 in HUMSCI 63. Syllabus, digest, WeBWorK, Blackboard.
Fall 2020: Mathematics 5317 (Introduction to Modern Algebra), TuTh 9:30–11 in MA 109. Syllabus, handwritten notes by Jack Weiland, homework 1, 2, 3, 4, 5, 6, 7, 8, 9.
Fall 2020: Mathematics 2360.121 (Linear Algebra), online. Syllabus, study guide, digest, review 1, 2, 3, WeBWorK, Blackboard.
Spring 2020: Mathematics 6322 (Homological Algebra II), TuTh 9:30–11 in MA 113 and online. Syllabus, handwritten notes by Rachel Harris, midterm, projects.
Spring 2020: Mathematics 6332 (Geometric Mechanics), TuTh 11–12:30 in MA 17 and online. Syllabus, projects.
Fall 2019: Mathematics 6321 (Homological Algebra I), TuTh 9:30–11 in MA 109. Syllabus, notes, handwritten notes by Rachel Harris, homework, projects.
Fall 2019: Mathematics 6333 (Lie Groups), TuTh 11–12:30 in MA 113. Syllabus, handwritten notes by Rachel Harris, homework, projects.
Summer 2019: Topology Doctoral Preliminary Examination. Practice problems, supplement, May 2019, August 2019, August 2020.
Spring 2019: Mathematics 5325 (Topology II), TuTh 11–12:30 in MA 113. Syllabus, notes, handwritten notes by Rachel Harris, midterm 1, 2, final.
Fall 2018: Mathematics 5324 (Topology I), TuTh 11–12:30 in MA 113. Syllabus, notes, midterm 1, 2, final.
Fall 2018: Mathematics 5365 (Analysis of Algorithms), TuTh 12:30–2 in MA 113. Syllabus, homework: 1, 2, 3, midterm 1, 2, final.
Spring 2018: Mathematics 6325 (Category Theory), MWF 9–10 in MA 10. Syllabus, notes, handwritten notes by Nilan Manoj Chathuranga, homework: 1, 2, 3.
Fall 2017: Mathematics 2360 (Linear Algebra), Section 002, MWF 2–3 in MA 110. Syllabus.
MathSciNet • zbMATH • Google Scholar
MathOverflow • nLab • Kerodon (PDF)
arXiv • Library Genesis 1 • 2 • 3 • 4 • 5 • 6 • Sci-Hub 1 • 2 • 3
Cycling in Lubbock: city map with traffic lights • heat map • thoroughfare plan