Assistant Professor of Mathematics, Department of Mathematics and Statistics, Texas Tech University.
An online course on functorial field theory and the geometric cobordism hypothesis (starts October 15, 2023).
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 motivated by physics, including functorial field theory, higher and derived differential geometry, factorization algebras, and other relevant areas of homotopy theory.
(with Daniel Grady)
Extended field theories are local and have classifying spaces.
(with Daniel Berwick-Evans)
Smooth one-dimensional topological field theories are vector bundles with connection.
Algebraic & Geometric Topology 23 (2023), 3707–3743.
Numerable open covers and representability of topological stacks.
Topology and its Applications 318:108203 (2022), 1–28.
The enriched Thomason model structure on 2-categories.
Journal of Pure and Applied Algebra 228:5 (2023), 107496.
(with Jakob Scholbach)
Admissibility and rectification of colored symmetric operads.
Journal of Topology 11:3 (2018), 559–601.
Gelfand-type duality for commutative von Neumann algebras.
Journal of Pure and Applied Algebra 226:4 (2022), 106884, 1–53.
Algebraic tensor products and internal homs of noncommutative Lp-spaces.
Journal of Mathematical Analysis and Applications 456:1 (2017), 229–244.
Topology. Notes of a class taught in Fall 2018 and Spring 2019.
Category Theory. Notes of a class taught in Spring 2018.
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.
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.
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
Graduated PhD and MSc students:
Fall 2023: Mathematics 4350 (Advanced Calculus I), TuTh 9:30–11.
Fall 2023: Mathematics 1451 (Calculus I), TuTh 3–5.
Spring 2023: Mathematics 6332 (Geometric Mechanics), TuTh 11–12:30.
Fall 2022: Mathematics 4362 (Theory of Numbers), TuTh 2–3:30 in MA 12.
Spring 2022: Mathematics 4351 (Advanced Calculus II), TuTh 2–3:20 in MA 109.
Fall 2021: Mathematics 2450.021 (Calculus III), TuTh 9:30–11:30 in MA 16. Syllabus.
Fall 2017: Mathematics 2360.002 (Linear Algebra), MWF 2–3 in MA 110. Syllabus.