Dmitri Pavlov

Papers • Texts • Notes • Software • People • Teaching • Resources

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.

Curriculum Vitæ.

Papers

Dmitri Pavlov's articles on arXiv.

arXiv:2011.01208: (with Daniel Grady)
Extended field theories are local and have classifying spaces.
Submitted.
arXiv:2005.05284: Gelfand-type duality for commutative von Neumann algebras.
Submitted.
arXiv:1912.10544: (with Daniel Berwick-Evans and Pedro Boavida de Brito)
Classifying spaces of infinity-sheaves.
Submitted.
arXiv:1602.01515: (with Owen Gwilliam)
Enhancing the filtered derived category.
Journal of Pure and Applied Algebra 222:11 (2018), 3621–3674.
doi:10.1016/j.jpaa.2018.01.004
arXiv:1510.04969: (with Jakob Scholbach)
Homotopy theory of symmetric powers.
Homology, Homotopy, and Applications 20:1 (2018), 359–397.
doi:10.4310/HHA.2018.v20.n1.a20
arXiv:1501.00967: (with Daniel Berwick-Evans)
Smooth one-dimensional topological field theories are vector bundles with connection.
Submitted.
arXiv:1410.5699: (with Jakob Scholbach)
Symmetric operads in abstract symmetric spectra.
Journal of the Institute of Mathematics of Jussieu 18:4 (2019), 707–758.
doi:10.1017/S1474748017000202
arXiv:1410.5675: (with Jakob Scholbach)
Admissibility and rectification of colored symmetric operads.
Journal of Topology 11:3 (2018), 559–601.
doi:10.1112/topo.12008
arXiv:1309.7856: Algebraic tensor products and internal homs of noncommutative L^p-spaces.
Journal of Mathematical Analysis and Applications 456:1 (2017), 229–244.
doi:10.1016/j.jmaa.2016.11.060

Expository texts

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, PostScript, PDF.

Software

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.

Macros for Knuth's TeX system.

Git tutorial for mathematicians.

Teaching

Topology and Geometry Seminar.

Quantum Homotopy Seminar.

Spring 2021: Mathematics 5399.002 (Introduction to Modern Algebra II), TuTh 9:30–11 in MA 17. Syllabus, 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, 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, homework: 1, 2, 3.

Fall 2017: Mathematics 2360 (Linear Algebra), Section 002, MWF 2–3 in MA 110. Syllabus.

Resources

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

My sister's paintings