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Mikuláš Zindulka

Hi! I'm a Ph.D. student at the Charles University in Prague. I work in the number theory group led by my advisor Víťa Kala.

Currently visiting professor Ben Kane at the University of Hong Kong, doing research on modular forms, elliptic curves, and Hurwitz class numbers (April–July).

Research

I'm interested in both algebraic and analytic number theory. My research interests include:

  • Arithmetics of number fields
  • Theory of partitions
  • Questions related to Artin's conjecture for primitive roots
  • Lattice models in combinatorics

Contact

mikulas.zindulka@matfyz.cuni.cz

Papers

Sums of Hurwitz class numbers, CM modular forms, and primes of the form x^2+ny^2, preprint on arXiv, May 2024

(with O. Chwiedziuk, M. Doležálek, E. Pěchoučková, Z. Pezlar, O. Prakash, G. Romeo, and A. Růžičková) Representing rational integers by generalized quadratic forms over quadratic fields, preprint on arXiv, March 2024

(with D. Stern) Partitions in real quadratic fields, preprint on arXiv, October 2023

(with M. Doležálek, M. Raška, E. Sgallová, and E. N. Stucky) The Six-Vertex Model with a Non-Standard Boundary Condition, preprint on arXiv, October 2023

(with V. Kala) Partitions into powers of an algebraic number, The Ramanujan Journal, published online, April 2024

(with M. Tinková and E. Waxman) Artin Twin Primes, Journal of Number Theory, Vol. 245, April 2023