Теория вероятностей, стохастическая геометрия, выпуклая геометрия.
Основные публикации:
G. Bonnet, A. Gusakova, Ch. Thäle, and D. Zaporozhets,, “Sharp inequalities for the mean distance of random points in convex bodies”, Adv. Math., 326 (2021)
Friedrich Götze, Dzianis Kaliada, and Dmitry Zaporozhets, “Joint distribution of conjugate algebraic numbers: a random polynomial approach”, Adv. Math., 359 (2020)
Zakhar Kabluchko, Vladislav Vysotsky, and Dmitry Zaporozhets, “Convex hulls of random walks: Expected number of faces and face probabilities”, Adv. Math., 320 (2017), 595-629
Zakhar Kabluchko, Vladislav Vysotsky, and Dmitry Zaporozhets, “Convex hulls of random walks, hyperplane arrangements, and Weyl chambers”, Geom. Funct. Anal., 27:4 (2017), 880-918
Zakhar Kabluchko, Dmitry Zaporozhets, “Asymptotic distribution of complex zeros of random analytic functions”, Ann. Probab., 42:4 (2014), 1374-1395