algebraic geometry, number theory, finite fields, hyperelliptic curves
Main publications:
E. A. Kirshanova, E. S. Malygina, S. A. Novoselov, D. O. Olefirenko, “An algorithm for computing the Stickelberger ideal for multiquadratic number fields”, Prikl. Diskr. Mat., 2021, no. 51, 9–30
S. A. Novoselov, “Counting points on hyperelliptic curves of type $y^2=x^{2g+1}+ax^{g+1}+bx$”, Finite Fields and Their Applications, 68 (2020) , 27 pp., 101757
S. A. Novoselov, “Hyperelliptic curves, Cartier–Manin matrices and Legendre polynomials”, PDM, 2017, no. 37, 20–31
E. S. Malygina, A. V. Kutsenko, S. A. Novoselov, N. S. Kolesnikov, A. O. Bakharev, I. S. Khilchuk, A. S. Shaporenko, N. N. Tokareva, “Post-quantum cryptosystems: open problems and current solutions. Isogeny-based and code-based cryptosystems”, J. Appl. Industr. Math., 18:1 (2024), 103–121
2.
S. A. Novoselov, “The characteristic polynomials of geometrically split ordinary abelian varieties of dimension 3”, Prikl. Diskr. Mat. Suppl., 2024, no. 17, 12–16
2023
3.
E. S. Malygina, A. V. Kutsenko, S. A. Novoselov, N. S. Kolesnikov, A. O. Bakharev, I. S. Khilchuk, A. S. Shaporenko, N. N. Tokareva, “Main approaches in post-quantum cryptography: description, a comparative study”, Prikl. Diskr. Mat. Suppl., 2023, no. 16, 58–65
4.
E. S. Malygina, A. V. Kutsenko, S. A. Novoselov, N. S. Kolesnikov, A. O. Bakharev, I. S. Khilchuk, A. S. Shaporenko, N. N. Tokareva, “Post-quantum cryptosystems: open problems and solutions. Lattice-based cryptosystems”, J. Appl. Industr. Math., 17:4 (2023), 767–790
2022
5.
S. A. Novoselov, Yu. F. Boltnev, “On the number of points on the curve $y^2 = x^{7} + ax^4 + bx$ over a finite field”, Diskretn. Anal. Issled. Oper., 29:2 (2022), 62–79
6.
S. A. Novoselov, “On ideal class group computation of imaginary multiquadratic fields”, PDM, 2022, no. 58, 22–30;
E. A. Kirshanova, E. S. Malygina, S. A. Novoselov, D. O. Olefirenko, “An algorithm for computing the Stickelberger ideal for multiquadratic number fields”, Prikl. Diskr. Mat., 2021, no. 51, 9–30
8.
Yu. F. Boltnev, S. A. Novoselov, V. A. Osipov, “On construction of maximal genus 3 hyperelliptic curves”, Prikl. Diskr. Mat. Suppl., 2021, no. 14, 24–30
2020
9.
N. S. Kolesnikov, S. A. Novoselov, “On the distribution of orders of Frobenius action on $\ell$-torsion of abelian surfaces”, PDM, 2020, no. 48, 22–33;
10.
E. S. Malygina, S. A. Novoselov, “Division polynomials for hyperelliptic curves defined by Dickson polynomials”, Matem. vopr. kriptogr., 11:2 (2020), 69–81;
11.
E. A. Kirshanova, N. S. Kolesnikov, E. S. Malygina, S. A. Novoselov, “Post-quantum signature proposal for standardisation”, Prikl. Diskr. Mat. Suppl., 2020, no. 13, 44–51
12.
D. O. Olefirenko, E. A. Kirshanova, E. S. Malygina, S. A. Novoselov, “An algorithm for computing the Stickelberger elements for imaginary multiquadratic fields”, Prikl. Diskr. Mat. Suppl., 2020, no. 13, 12–17
13.
S. A. Novoselov, “Counting points on hyperelliptic curves of type $y^2=x^{2g+1}+ax^{g+1}+bx$”, Finite Fields and Their Applications, 68 (2020) , 27 pp., 101757
N. S. Kolesnikov, S. A. Novoselov, “On the order of the Frobenius endomorphism action on $l$-torsion subgroup of abelian surfaces”, Prikl. Diskr. Mat. Suppl., 2019, no. 12, 11–12
15.
S. A. Novoselov, Y. F. Boltnev, “Characteristic polynomials of the curve $y^2=x^7+ax^4+bx$ over finite fields”, PDM. Prilozhenie, 2019, no. 12, 44–46
E. M. Melnichuk, S. A. Novoselov, “On characteristic polynomials for some genus $2$ and $3$ curves with $p$-rank $1$”, Prikl. Diskr. Mat. Suppl., 2019, no. 12, 21–24
2018
17.
S. A. Novoselov, “Counting points on hyperelliptic curves of type $y^2=x^{2g+1}+ax^{g+1}+bx$”, PDM. Prilozhenie, 2018, no. 11, 30–33
2017
18.
S. A. Novoselov, “Hyperelliptic curves, Cartier–Manin matrices and Legendre polynomials”, PDM, 2017, no. 37, 20–31
2024
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