UFOCLAN
UFOCLAN (Universal quadratic forms and class numbers) is the number theory research group at Charles University, Faculty of Mathematics and Physics, Department of Algebra.
Team members
- Vita Kala (PI)
- Pavlo Yatsyna (PI)
Postdocs
- Nicolas Daans (from 01/2023)
- Stevan Gajović (from 03/2023)
- Siu Hang “Gordon” Man (from 09/2022)
- Dayoon Park (from 03/2024)
PhD students
- Om Prakash (from 2023)
Ester Sgallová (from 2021)
Mikuláš Zindulka (from 2021)
We regularly have funding for hiring new postdocs and PhD students. Interested very strong candidates are welcome to email Vita with informal inquiries.
News
Gordon’s paper on large ranks of universal forms over almost all biquadratic fields got accepted by Adv. Math.
Martin Widmer has visited us in Prague, mainly for discussions about infinite extensions, Northcott property, and quadratic forms.
Gordon and Vita finished an exciting paper that establishes a new connection between sails, a key notion in the geometric theory of generalized continued fractions, and arithmetic of totally real number fields, specifically, universal quadratic forms and indecomposables.
Pavlo’s and Vita’s recent job call was won by Martin Čech, Subham Roy, and Robin Visser – they will join our team during the Summer.
Pavlo returned to Prague as the PI of Primus grant Statistical properties of totally real number fields. This prestigious grant will fund him and two postdocs for four years.
Funding
GAČR Junior Star project
from the Czech Science Foundation GAČR, 2021–2025
success rate 9%, total budget 1 000 000 USD
Primus grant
Statistical properties of totally real number fields
PI Pavlo Yatsyna
postdocs (partly) supported: Nicolas Daans, Siu Hang “Gordon” Man
from Charles University, 2024–2027
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 Libor Barto, 2024–2029
Intersections of algebra, geometry, and informatics - PI Jan Krajíček, 2018–2023
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
Postdocs
- Matteo Bordignon (01/2022–01/2023)
next job: postdoc at KTH Stockholm - Giacomo Cherubini (09/2020–10/2022)
next job: permanent position at Sapienza University of Rome - Alessandro Fazzari (09–12/2021)
next job: postdoc at American Institute of Mathematics - Daniel Gil Muñoz (08/2021–06/2023)
next job: postdoc at University of Barcelona - Tomáš Hejda (01/2017–12/2019)
next job: work for Overleaf - Mentzelos Melistas (01/2023–08/2023)
next job: tenure track lecturer at University of Twente - Eric Nathan Stucky (08/2021–08/2022)
next job: adjunct faculty member at Champlain College - Tomáš Vávra (01/2017–08/2020)
next job: postdoc at University of Waterloo - Ezra Waxman (08/2018–07/2019)
next job: postdoc at Dresden University with Minerva Fellowship - Pavlo Yatsyna (01/2020–07/2022)
next job: postdoc at Aalto University - Błażej Żmija (10/2021–06/2023)
next job: postdoc at Polish Academy of Sciences
Ph.D. students
- Jakub Krásenský (2018–2023)
next job: assistant professor (tenure track) at Czech Technical University in Prague, Faculty of Information Technology, Department of Applied Mathematics - Magdaléna Tinková (2017–2021)
next jobs: assistant professor (tenure track) at Czech Technical University in Prague, Faculty of Information Technology, Department of Applied Mathematics; and postdoc at TU Graz funded by Postdoc grant from Czech Science Foundation
