Research output per year
Research output per year
Personal profile
Research
My research interests are in homotopy theory of DG-categories and homotopy descent, categorical braid group actions and their invariants, matrix factorizations and derived algebraic geometry, geometric representation theory, chiral algebras, and semiinfinite cohomology.
Teaching
Over the years, I have taught undergraduate and Master's courses such as Complex Analysis and Advanced Algebra, have organized graduate seminars such as DG Categories and Homotopical Algebra, and have supervised PhD students.
Areas of expertise
- Geometric representation theory
- DG categories
- Homological algebra
- Algebraic homotopy theory
- Algebraic operads
Fingerprint
Dive into the research topics where Sergey Arkhipov is active. These topic labels come from the works of this person. Together they form a unique fingerprint.
- 1 Similar Profiles
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Homotopy (Co)limits via Homotopy (Co)ends in General Combinatorial Model Categories
Arkhipov, S. & Ørsted, S., Nov 2023, In: Applied Categorical Structures. 31, 6, 47.Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
2 Citations (Scopus) -
Homotopy limits in the category of dg-categories in terms of A∞-comodules
Arkhipov, S. & Ørsted, S., Jun 2021, In: European Journal of Mathematics. 7, 2, p. 671-705 35 p.Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
6 Citations (Scopus) -
A note on a Holstein construction
Arkhipov, S. & Poliakova, D., Apr 2020, In: Homology, Homotopy and Applications. 22, 2, p. 151-162 12 p.Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
Open Access3 Citations (Scopus) -
Colored DG-operads and homotopy adjunction for DG-categories
Arkhipov, S. & Kanstrup, T., 26 Jun 2018, (arXiv).Research output: Working paper/Preprint › Working paper › Research
Open AccessFile68 Downloads (Pure) -
Homotopy (co)limits via homotopy (co)ends in general combinatorial model categories
Arkhipov, S. & Ørsted, S., 9 Jul 2018, (arXiv).Research output: Working paper/Preprint › Working paper › Research › peer-review
Open AccessFile218 Downloads (Pure)