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:
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
Team member of UFOCLAN: Sailing to critetion sets for quadratic forms, PI: Vítězslav Kala