Measure theory, probability theory, infinite dimensional analysis
Main publications:
Egor Kosov, “Fractional smoothness of images of logarithmically concave measures under polynomials”, Journal of Mathematical Analysis and Applications, 462:1 (2018), 390–406
Vladimir I. Bogachev, Egor D. Kosov, Georgii I. Zelenov, “Fractional smoothness of distributions of polynomials and a fractional analog of the Hardy-Landau-Littlewood inequality”, Transactions of the American Mathematical Society, 370:6 (2018), 4401–4432
Egor D. Kosov, “Total Variation Distance Estimates via $L^2$-Norm for Polynomials in Log-concave Random Vectors”, International Mathematics Research Notices, 2021:21 (2021), 16492–16508