Alisa Sedunova
I received my PhD degree in June 2017 under the supervision of Harald Andrés Helfgott at ED 142 Paris Sud (Orsay).
I was a postodoctoral fellow at Max Planck Institut für Mathematik in 2017/19. I am an Associate professor in Saint Petersburg State University since September 2019.
Research interests: integral points on algebraic curves, function fields, circle method, primes in arithmetic progressions, polynomial equations in prime variables.
Education
PhD, Mathematics
MSc, Applied Mathematics
MSc, Applied Mathematics and Physics
Teaching
Fourier Analysis, Winter term 2021
Bounded gaps between primes, Winter term 2021
Elementary number theory, Spring 2021
Asymptotic sieve for primes, Winter 2020
Mathematical analysis 1st year, 2019/22
Sieve methods in analytic number theory, Winter 2019
In 2018/19 I supervised Lukas Prader for his Master Thesis called "Local Methods in Diophantine equations".
Bounded gaps between primes, 2018/19
Diophantine equations in primes, 2018/19
Selected Topics in Algebra: Analytic number theory, 2018
Advanced Algebra 2: Diophantine equations, 2017/18
Together with Efthymios Sofos, Pieter Moree and, earlier, Kevin Destagnol we organized PLeaSANT (Participative learning seminar analytic number theory).
In September 2017 I supervised several high school interns at Max Planck Institut für Mathematik for the project "Ramanujan tau-function".
Publications
A higher order Levin-Fainleib theorem (joint with O. Ramare and R. Sharma), Proc. Indian Acad. Sci. Math. Sci. 133 (2023), no. 1, Paper No. 1, 14 pp.
Intersections of binary quadratic forms in primes and the paucity phenomenon, J. Number Theory 235 (2022), 305–327
Computation of the Kummer ratio of the class number for prime cyclotomic fields (joint with A. Languasco, P. Moree and S. Saad Eddin).
A computational history of prime numbers and Riemann zeros (joint with P. Moree and I. Petrykiewicz).
Jordan totient quotients (joint with P. Moree, S. Saad Eddin and Y. Suzuki), J. Number Theory 209 (2020), 147–166.
Constrained ternary integers (joint with F. Luca, P. Moree, R. Osburn and S. Saad Eddin), Int. J. Number Theory, 15 (2019), no. 2, 407–431.
Bounds for the integral points on elliptic curves over function fields.
A logarithmic improvement in the Bombieri-Vinogradov theorem, J. Théor. Nombres Bordeaux 31 (2019), no. 3, 635–651.
A variant of Bombieri-Vinogradov theorem with explicit constants, Publ. Math. Besançon Algèbre Théorie Nr., 2018, Presses Univ. Franche-Comté, Besançon, 2018.
On the Bombieri-Pila Method Over Function Fields, Acta Arith., 181 (2017), no. 4, 321–331.
On the asymptotic formulae for some multiplicative functions in short intervals, Int. J. Number Theory, 11 (2015), no. 5, 1571–1587.
On the mean values of some multiplicative functions on the short interval, Mat. Zametki, 97 (2015), no. 1, 115–128; translation in Math. Notes 97 (2015), no. 1–2, 111–123.