I am deeply interested in algebraic number theory, including quadratic forms over number fields, generalized quadratic forms, indecomposable integers, lattices over number fields.
Papers and preprints:
(with M. Tinková) Additively indecomposable quadratic forms over biquadratic and simplest cubic fields, submitted.
(with O. Chwiedziuk, M. Doležálek, E. Pěchoučková, O. Prakash, Z. Pezlar, A. Růžičková and M. Zindulka) No proper generalized quadratic forms are universal over quadratic fields, The Ramanujan Journal.
Talks:
ECENTSEE 2026: Indecomposable integers over number fields (slides)
QLP 2026: Additively indecomposable quadratic forms over biquadratic fields and the simplest cubic fields (slides)
WINGs 2026: Additively indecomposable quadratic forms over biquadratic fields and the simplest cubic fields (slides)
Central European Number Theory Conference 2025: Non-decomposable quadratic forms over biquadratic fields and the simplest cubic fields
Grants:
Principal investigator of GAUK grant Universal and indecomposable lattices over number fields (2026-2028)
Team member of GAČR grant Sailing to criterion sets for quadratic forms, PI: Vítězslav Kala (2026-)
Team member of PRIMUS grant Statistical properties of totally real number fields, PI: Pavlo Yatsyna (2026-)
Previous:
Team member of UFOCLAN Universal quadratic forms and class numbers, PI: Vítězslav Kala
Team member of GAUK grant Universality of generalized higher degree forms over number fields, PI: Om Prakash