Algorithms of lattices - (Winter 2025/2026).
Lattice-based cryptography - (Summer 2025/2026).
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.
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