Integral Geometry, Convex and Discrete Geometry, Number Theory, Random Matrix Theory.
Publications
Bernik, V.; Götze, F.; Gusakova, A. On the distribution of points with algebraically conjugate coordinates in a neighborhood of smooth curves, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 448 (2016),pp. 14-47; translation in J. Math. Sci. (N.Y.) 224 (2017), no. 2, pp. 176–198.
Bernik, V.; Götze, F.; Gusakova, A. n points with algebraically conjugate coordinates close to smooth curves, Mosc. J. Comb. Number Theory 6 (2016), no. 2-3, pp. 56–101.
Friedrich Götze, Anna Gusakova, On algebraic integers in short intervals and near smooth curves, Acta Arithmetica 179 (2017), no. 3, PP. 251–265.
Friedrich Götze, Anna Gusakova, Dmitry Zaporozhets, Random affine simplexes , arXiv:1711.06578