Mikuláš Zindulka

Postdoc at the University of Hong Kong.

Research

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

  • Hurwitz class numbers, families of elliptic curves, and applications of modular forms in number theory
  • Arithmetics of number fields
  • Theory of partitions
  • Numeration – representation in non-integer bases
  • Questions related to Artin's conjecture for primitive roots

Contact

zinmik2[at]gmail.com
zinmik[at]hku.hk
mikulas.zindulka[at]matfyz.cuni.cz

Papers

(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, New York Journal of Mathematics, Vol. 32, May 2026

Totally positive elements with m partitions exist in almost all real quadratic fields, Proceedings of the Edinburgh Mathematical Society, Vol. 69, April 2026

(with O. Chwiedziuk, M. Doležálek, S. Fryšová, E. Pěchoučková, Z. Pezlar, O. Prakash, and A. Růžičková) No proper generalized quadratic forms are universal over quadratic fields, The Ramanujan Journal, Vol. 69, March 2026

(with D. Stern) Partitions in real quadratic fields, Mathematische Nachrichten, Vol. 298, February 2025

(with V. Kala) Partitions into powers of an algebraic number, The Ramanujan Journal, Vol. 64, April 2024

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

Preprints

(with B. Kane) Negative bias in moments of the Legendre family of elliptic curves, preprint on arXiv, August 2026

Counting principal ideals of small norm in the simplest cubic fields, preprint on arXiv, January 2025

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