Research

On the number of points on curve \(y^2 = x^{7} + a x^4 + b x\) over a finite field (to appear), with Y. F. Boltnev.
SageMath: [code]. Examples: [2716 bit Jacobian] [3392 bit Jacobian] 
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.
Talks

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
2022 Spring term
2021 Autumn term
2021 Spring term
2020 Autumn term