UFOCLAN (Universal quadratic forms and class numbers) is the number theory research group at Charles UniversityFaculty of Mathematics and Physics, Department of Algebra.

Team members

  • Vita Kala (PI)
PhD students

We regularly have funding for hiring new postdocs and PhD students. Interested very strong candidates are welcome to email Vita with informal inquiries.


Two of our postdocs will soon start their new jobs – Błażej at the Polish Academy of Sciences, and Daniel at the University of Barcelona.

We welcome our newest UFOCLAN team member Leila (age 0).

We had three more visitors in April: Adel Betina, Daniel Kriz, and Anna Rio.

Vita was elected chair of the evaluation panel for mathematics and computer science at Czech Science Foundation.

Karim Becher is visiting us as a guest from Antwerp.

Giacomo Cherubini, our recent postdoc, received the Bolzano Award for his work on Prime geodesic theorem.

In our perhaps best paper so far, Blazej, Pavlo, and Vita proved that real quadratic fields with a universal form of given rank have density zero. This result concludes a part of the story that started eight years ago when Valentin Blomer and Vita constructed the first very sparse sequence of quadratic fields without n-ary universal forms.

Vita wrote a survey paper that gives a (hopefully) accessible overview of our research in the last few years – have a look!


GAČR Junior Star project

from the Czech Science Foundation GAČR, 2021–2025
success rate 9%, total budget 1 000 000 USD

Primus grant

Universal quadratic forms: geometry and analysis
from Charles University, 2020–2022

GAČR Junior grant 

Quadratic forms and numeration systems over number fields
from the Czech Science Foundation GAČR, 2017–2019
outcomes of the grant were evaluated by the grant agency as excellent (top 20%)

University research center UNCE

PI Jan Krajíček
Methods of Algebra and Logic

Our seminars

Number Theory Seminar
Algebra Colloquium
If you want to give a talk in either of these seminars, please let one of the organizers (eg Vita) know!
We have mailing lists for both seminars with weekly talk announcements – if you want to join them, please also let Vita know.

Team publications

See here.

Past team members