Algebraic Number Theory - (Summer 2019/2020), (Summer 2021/2022), (Summer 2023/2024).
Modular forms and L-functions II - (Summer 2019/2020)
Quadratic forms and class fields I - (Winter 2020/2021), (Winter 2024/2025)
Quadratic forms and class fields II - (Summer 2020/2021)
I am a postdoctoral researcher at Charles University in Prague, supported by a PRIMUS grant. Previously, I worked in Camilla Hollanti's ANTA group at Aalto University (2022–2023) and Vitezslav Kala's UFOCLAN research group (2020–2023). In 2017, I was an Oberwolfach Leibniz Fellow. I completed my PhD at Royal Holloway, University of London, under the supervision of James McKee.
The Prague number theory group may hire new PhD students starting in October 2026. More information can be found here.
My research is in number theory and discrete geometry. I am interested in problems related to:
totally real algebraic integers;
representation of integers by quadratic forms;
unimodular lattices;
integer symmetric matrices;
interlacing polynomials;
equiangular lines;
Salem numbers;
cyclotomic polynomials;
small trace/discriminant polynomials.
My email address is pyatsyna [at] outlook [dot] com