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.
(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 (in press).
Numerable open covers and representability of topological stacks.
Topology and its Applications 318:108203 (2022), 1–28.
(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 students:
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.