Research

On the Discrete Logarithm Problem in the Ideal Class Group of Multiquadratic Fields.
In LatinCrypt 2023.
Slides. Code: Github 
On ideal class group computation of imaginary multiquadratic fields.
Prikl. Diskr. Mat., 2022, no. 58, 22–30.
MathNet. Code: Github 
On the number of points on the curve \(y^2 = x^{7} + a x^4 + b x\) over a finite field (with Y. F. Boltnev).
In Journal of Applied and Industrial Mathematics, 2022, vol. 16, 302–312
SageMath: [code]. Examples: [2716 bit Jacobian] [3392 bit Jacobian] 
An algorithm for computing the Stickelberger ideal of multiquadratic number fields (with E. A. Kirshanova, E. S. Malygina, D. O. Olefirenko).
In Prikl. Diskr. Mat., 2021, no. 51, 9–30 [in Russian].
MathNet. 
Counting points on hyperelliptic curves of type \(y^2=x^{2g+1}+ax^{g+1}+bx\).
In Finite Fields and Their Applications, 2020, vol. 68.
Preprint: arXiv. SageMath Notebooks: [genus 3 algorithm]. [genus 4 algorithm]. 
On the distribution of orders of Frobenius action on \(\ell\)torsion of abelian surfaces (with N. S. Kolesnikov).
In Prikl. Diskr. Mat., 2020, no. 48, 22–33. MathNet. [SageMath Notebook for §7]. 
Characteristic polynomials of the curve \(y^2=x^7+ax^4+bx\) over finite fields (with Y. F. Boltnev).
In SibeCrypt'19. MathNet. SageMath: [genus 3 p.c. algorithm]. 
Hyperelliptic curves, Cartier–Manin matrices and Legendre polynomials.
In Prikl. Diskr. Mat., 2017, no. 37, 20–31.
PDF. 
On bounds for balanced embedding degree.
In Prikl. Diskr. Mat., 2016, no. 2(32), 63–86 [in Russian].
PDF. 
Thesis: Counting points on hyperelliptic curves with geometrically split Jacobians, 2022 [in Russian].
PDF.
Advisor: Ekaterina Malygina
Talks

ApproxSVP in multiquadratic ideal lattices [slides].
Séminaire de Théorie Algorithmique des Nombres, Université de Bordeaux, Febrary 13, 2024. 
Elliptic curve cryptography (in Russian) [slides] [video].
at Mathematical school, MEPhI University, December 4, 2023. 
Counting points on hyperelliptic curves with geometrically split Jacobians [poster].
at Fourteenth Algorithmic Number Theory Symposium, ANTSXIV,
University of Auckland, New Zealand June 30  July 4, 2020.
Teaching
2024 Autumn term
2023 Autumn term
2022 Autumn term
2022 Spring term
2021 Autumn term
2021 Spring term
2020 Autumn term