Bashkirov's homepage
Denis Bashkirov's homepage
I received my Ph.D. under the guidance of Alexander Voronov. Currently, I am an instructor at the University of Minnesota.
CV
Research
My research interests lie in algebraic topology and mathematical physics. More specifically, I am thinking about such things as operads, homotopy algebras, BVBRST formalism, quantum groups and their applications.
Some writings:

Modular operads and the quantum master equation pdf

The BV formalism for L_\inftyalgebras, joint with A.Voronov, to appear in Journal of Homotopy and Related Structures, arXiv

r\inftymatrices, triangular L_\inftyalgebras,
and quantum \inftygroups, joint with A.Voronov, Geometric Methods in Physics. XXXIII Workshop 2014,
arXiv

On homotopy Lie bialgebroids, joint with A.Voronov,
arXiv
Teaching
Various class materials.
Current teaching (Fall 2017): Math 1272  Calculus II (the course materials will be available on Moodle).
Slides and notes
UMN math physics seminar:
 Quantization of gauge systems and BRST formalism slides
 Quantum groups and integrable lattice models slides
 Lie conformal algebras and the variational complex slides
 Lie algebroids and their representations slides
UMN student topology seminar:
 Monads and (co)barconstruction slides
 Introduction to simplicial objects slides
 Cohomology operations slides
 Koszul resolutions slides
 SpanierWhitehead duality notes
Misc:
 Chern classes slides
 Gaussian integrals and Feynman diagrams slides
 Hilbert's third problem and Dehn's invariant slides
 DGLAs and deformation theory notes
 DuistermaatHeckman localization notes
Last updated: August 18, 2017
The views and opinions expressed in this page are strictly those of the page author.
The contents of this page have not been reviewed or approved by the University of Minnesota.
