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. See also this tenure-track position.

In particular, Vita may accept a new Ph.D. student who would start their studies in October 2023 (an earlier start is not possible).

Ph.D. studies at our faculty typically take 4 years; active students receive an adequate stipend (~1000 EUR per month).

Application requirements are

curriculum vitae,
motivation letter,
transcripts (from Bachelor’s and Master’s studies), and
1 recommendation letter,

and should be submitted by email to Vita Kala (see Contact info); the recommendation letter must be emailed directly by its author. Informal inquiries concerning the position are also welcome.
Evaluation of applications will start on February 1, 2023 and will continue until the position is filled.


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

We welcome several new postdocs to our team! Siu Hang “Gordon” Man (already from September 2022), Mentzelos Melistas, Nicolas Daans, and Stevan Gajović (from March 2023).

Magda Tinková received the Josef Hlávka prize for her research conducted during her PhD studies in our group.

Mentzelos Melistas will join us in Prague in January 2023 as the final postdoc hired in our recent job call.

Three guests are visiting us in October: Claire Burrin (ETH Zurich), Pietro Mercuri (La Sapienza, Rome), and Fabien Pazuki (Copenhagen).
Here we are having lunch with Fabien:

Our student Martin Raška, as well as Vita, both received Dean’s teaching award for excellent student questionnaire results in 2021/22. (Martin’s first solo paper also just got accepted by JNT.)

Pavlo’s and Vita’s short paper solving weak Kitaoka’s conjecture and weak lifting problem was accepted by Bulletin LMS.

The winner of the recent job call, Stevan Gajović, accepted our job offer. He should join our team in March 2023 (for 2.5 years).


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