News

Our students Matěj Doležálek and Martin Raška both got the First Prize at the International Mathematics Competition for University Students.

Apply to our new postdoc opening! (Applications should be received ideally by Sep 15.)

Vita will give an invited series of introductory lectures on universal quadratic forms at XXIII International Workshop for Young Mathematicians in Krakow in September.

Giacomo’s and Pavlo’s paper on the potential energy of algebraic integers is accepted by J. Math. Anal. Appl.

The paper by Ester, Jakub, and Martin on Pythagoras numbers in biquadratic fields got accepted by Expositiones Math.

Pavlo will soon start a new postdoc at Aalto University, where he’ll work with Camilla Hollanti.

Our paper on large class numbers of real quadratic fields (by Andrew Granville, Ale, Giacomo, Pavlo, and Vita) got accepted by IMRN! This also gives us Erdős number 2 (thanks to Andrew).

Matěj Doležálek received the Award of The Learned Society of the Czech Republic for his work Quaternions and universal quadratic forms over number fields.

Dayoon Park is again visiting us for collaboration on universal forms (May & June 2022).

Vita’s paper on the non-existence of universal quadratic forms of small rank over certain number fields of large degrees was accepted by Math. Proc. Cambridge Philos. Soc.

In March we were happy to welcome Bryce Kerr (MPIM Bonn) and Karim Becher (U. Antwerp) as guests.

Neelam Saikia and Siu Hang “Gordon” Man won our job call and will join UFOCLAN as new postdocs!

Magda’s and Vita’s paper on universal forms and indecomposables over the simplest cubic fields was accepted by IMRN.

Pavlo received the Bolzano Award for his work on Representation of algebraic integers by quadratic forms.

We welcome Matteo Bordignon as our newest group member! Matteo recently got his PhD in analytic number theory from UNSW Canberra under the supervision of Tim Trudgian.

Jakub and Pavlo proved a new, strong bound on the number of squares of linear forms required to represent all suitable quadratic forms of rank r over a totally real number field. See preprint for this and more at https://arxiv.org/abs/2112.15243.

Ale’s position with us already ended – he’ll soon join the American Institute of Mathematics for his next postdoc.

We have a 3-year postdoc position available! See https://www.mathjobs.org/jobs/list/18130 (deadline is February 15).

Magda Tinková was awarded the prestigious Postdoc Individual Fellowship from Czech Science Foundation, which will provide her with full funding for a 2-year position at Technical University Graz (Austria).

We (Andrew Granville and Ale, Giacomo, Pavlo, Vita) proved that there exist long sequences of consecutive real quadratic fields that all have large class numbers. The preprint is at http://arxiv.org/abs/2111.11549.

Vita gave an invited online talk at the International Conference on Class Groups of Number Fields and Related Topics. Video, slides.

Vita’s habilitation got officially approved and he became docent (associate professor equivalent).

As another guest, we welcome Sudhir Pujahari from Warsaw University (Poland), 10/01-10/16, 2021.

Six new team members are joining UFOCLAN in Fall 2021: postdocs Alessandro, Blazej, Daniel, and Eric, and PhD students Ester and Mikulas!

Our new website is gradually coming alive, thanks to Martina Vaváčková.

Dayoon Park is visiting us as a guest from Ulsan National Institute of Science and Technology (Korea) for 09/01–11/30, 2021.

Magda Tinková defended her PhD thesis “Arithmetic of number fields and generalized continued fractions” and received the best evaluation grade for her GAUK project.

Today, Jasmi joined UFOCLAN as its youngest member (aged 0).

Vita Kala was elected vice chair of the new GACR panel for mathematics and computer science.

UFO was spotted!