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, submitted.
Talks:
Central European Number Theory Conference 2025: Non-decomposable quadratic forms over biquadratic fields and the simplest cubic fields
Grants:
Team member of GAUK grant Universality of generalized higher degree forms over number fields, PI: Om Prakash
Team member of UFOCLAN: Universal quadratic forms and class numbers, PI: Vítězslav Kala