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, factorization algebras, functorial quantum field theory, derived manifolds, synthetic differential geometry, Tomita–Takesaki theory, locales and toposes.
Brown representability via concordance. 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.
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.
Topology and Geometry Seminar.
Quantum Homotopy Seminar.
Spring 2020: Mathematics 6322 (Homological Algebra II), TuTh 9:30–11 in MA 17. Syllabus, projects.
Spring 2020: Mathematics 6332 (Geometric Mechanics), TuTh 11–12:30 in MA 17. 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.
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, midterm 2, final.
Spring 2018: Mathematics 6325 (Category Theory), MWF 9–10 in MA 10. Syllabus, notes, homework: 1, 2, 3.
Fall 2017: Mathematics 2360 (Linear Algebra), Section 002, MWF 2–3 in MA 110. Syllabus.
MathSciNet • zbMATH • arXiv • MathOverflow • nLab • Kerodon • Library Genesis 1 • 2 • 3 • Sci-Hub 1 • 2 • Google Scholar
Cycling in Lubbock: city map with traffic lights • heat map • thoroughfare plan
My sister's paintings