Biography
Research interests: Algebraic operads, homotopy algebras and their applications
to deformation theory and embedding spaces; problems motivated by foundational
questions of mathematical physics.
Courses Taught
Number | Name | Level |
|---|---|---|
MATH 2045 | Differential Equations with Linear Algebra | Undergraduate |
MATH 2943 | Honors Calculus III | Undergraduate |
MATH 3051 | Theoretical Linear Algebra | Undergraduate |
MATH 5001 | Linear Algebra | Graduate |
MATH 9110 | Topics in Algebra | Graduate |
Selected Publications
Recent
Dolgushev, V. & Rogers, C. (2020). The Cohomology of the Full Directed Graph Complex. Algebras and Representation Theory, 23(3), 917-961. doi: 10.1007/s10468-019-09875-7.
Dolgushev, V. & Schneider, G. (2019). When can a formality quasi-isomorphism over Q be constructed recursively? Journal of Pure and Applied Algebra, 223(5), 2145-2172. doi: 10.1016/j.jpaa.2018.07.012.
Altinay-Ozaslan, E. & Dolgushev, V. (2019). Towards deformation quantization over a Z-graded base. Journal of Noncommutative Geometry, 13(1), 227-256. doi: 10.4171/JNCG/318.
Dolgushev, V. (2018). A Formality Quasi-Isomorphism for Hochschild Cochains Over Rationals can be Constructed Recursively. International Mathematics Research Notices, 2018(18), 5729-5785. doi: 10.1093/imrn/rnx045.
Dolgushev, V. & Rogers, C. (2017). On an Enhancement of the Category of Shifted L
∞ -Algebras. Applied Categorical Structures, 25(4), 489-503. doi: 10.1007/s10485-016-9424-4.Dolgushev, V. & Willwacher, T. (2017). A direct computation of the cohomology of the braces operad. Forum Mathematicum, 29(2), 465-488. doi: 10.1515/forum-2016-0123.