Research Interests
 Stochastic and convex geometry
 Zeroes of random polynomials and point processes
 Number theory
Short CV
 Since April 2019: PostDoc in RTG 2131 at Ruhr University Bochum
 2017  2018: Ph.D. student in IRTG 2235 at Bielefeld University (advisor Prof. Dr. Friedrich Götze)
 2014  2015: Master of Science in Mathematics  Researchers Training Institute of National Academy of Sciences of the Republic of Belarus (advisor: Prof. Dr. Vasili Bernik)
 2013  2015: Junior Researcher at Institute of Mathematics, National Academy of Science of Belarus (Department of Number Theory)
 2009  2014: Bachelor of Science in Security Engineering and Mathematics  Belarusian State University
Publications

The volume of simplices in highdimensional PoissonDelaunay tessellations (joint work with
Christoph Thäle)
Preprint: arXiv:1909.05589 . 
Concentration inequalities for functionals of Poisson cylinder processes (joint work with Anastas Baci, Carina Betken and
Christoph Thäle)
Preprint: arXiv:1908.02112 . 
On the distribution of Salem numbers (joint work with
Friedrich Götze)
Preprint: arXiv:1904.03068 . 
Random affine simplexes (joint work with
Friedrich Götze and Dmitry Zaporozhets)
Journal of Applied Probability 56 (2019), no. 1 (to appear) . 
Distribution of complex algebraic numbers on the unit circle (joint work with
Friedrich Götze, Zakhar Kabluchko and Dmitry Zaporozhets)
Zap. Nauchn. Sem. S.Peterburg. Otdel. Mat. Inst. Steklov. 474 (2018), pp. 90  107 . 
On algebraic integers in short intervals and near smooth curves (joint work with Friedrich Götze)
Acta Arithmetica 179 (2017), no. 3, pp. 251  265 . 
Upper and lower bounds for the number of algebraic points on short intervals (joint work with Vasili Bernik and Alexey Kudin)
Chebyshevskii Sb. 18 (2017), no. 4, pp. 115  126 (Russian). 
On distribution of points with conjugate algebraic integer coordinates close to planar curves (joint work with Vasili Bernik and Friedrich Götze)
Anal. Probab. Methods Number Theory (2017), pp. 11  23 . 
On points with algebraically conjugate coordinates in neighbourhood of smooth curves (joint work with Vasili Bernik and Friedrich Götze)
Zap. Nauchn. Sem. S.Peterburg. Otdel. Mat. Inst. Steklov. 448 (2016), pp. 14  47.
Translation in Journal of Math. Sci. 224 (2017), no. 2, pp. 176  198. 
On points with algebraically conjugate coordinates close to smooth curves (joint work with Vasili Bernik and Friedrich Götze)
Moscow Journal of Combinatorics and Number Theory 6 (2016), no. 2  3, pp. 57  100 (2016). 
Distribution of special algebraic points in domains of small measure
Chebyshevskii Sb. 17 (2016), no. 1, pp. 50  69 (Russian) . 
Distribution of algebraic points in domains of
small measure and near the surfaces (joint work with Vasili Bernik and Alexey Ustinov)
Chebyshevskii Sb. 16 (2015), no. 3, pp. 78  94 (Russian) .

Application of Probability Methods in Number Theory and Integral Geometry
Ph.D. thesis (advisor Prof. Dr. Friedrich Götze)
Selected talks

Limiting theorems for PoissonDelaunay tessellation
Asymptotic Geometric Analysis, July 1  6, 2019, Euler International Mathematical Institute, SaintPetersburg, Russia 
Concentration inequalities for functionals of Poisson cylinder processes
Conference "Stochastic Geometry", September 16  20, 2019, Euler International Mathematical Institute, SaintPetersburg, Russia 
Distribution of algebraic numbers and their connection to the roots of random polynomials
Seventh BielefeldSNU Joint Workshop in Mathematics, February 26  March 1, 2019, Center for Interdisciplinary Research, Bielefeld. 
Counting complex algebraic numbers on the unit circle.
International Conference on Number Theory, September 9  15, 2018, Palanga, Lithuania. 
Random affine simplexes.
Probability Seminar, April 3, 2018, KAIST, Daejeon, South Korea. 
Distribution of complex algebraic numbers on the unit circle.
The third IndoRussian meeting in probability and statistics, January 8  12, 2018, Indian Institute of Science, Bangalore, India. 
Random affine simplexes.
Seminar on Probability Theory and Mathematical Statistics, November 24, 2017, PDMI, St. Petersburg, Russia. 
Integral geometry formulas for ellipsoids.
Stochastic Geometry Seminar, July 27, 2017, KIT, Karlsruhe, Germany. 
On the distribution of points with conjugate algebraic coordinates near smooth curves.
Workshop on Diophantine approximation and related fields, June 26  30, 2017, University of York, York, England. 
Davenport’s problem: an overview.
Arbeitsgemeinschaft: Diophantine Approximation, Fractal Geometry and Dynamics, October 9  14, 2016, Mathematisches Forschungsinstitut, Oberwolfach, Germany. 
On algebraic integers in short intervals and near the smooth curves.
Yu.V.Linnik Centennial Conference: Analytical methods in number theory, probability theory and mathematical statistics. September 14  18 , 2015, Euler International Mathematical Institute, St. Petersburg, Russia.
Research visits
 March  August, 2018: Visiting Student Researcher in Korea Advanced Institute of Science and Technology, Daejeon, South Korea (advisor: JiOon Lee)
 Visiting Researcher of CRC 701 (Bielefeld University), see visits .
Address
Dr. Anna Gusakova
Faculty of Mathematics
Ruhr University Bochum
Room IB 2/121
44780 Bochum
Germany
Phone: 0234  32  28988