Students
This old website is no longer updated. My new website is https://www1.karlin.mff.cuni.cz/~kala/web/
Students advised
Ph.D.
Ester Sgallová, n-universal quadratic forms over number fields (from 2021)
Mikuláš Zindulka, Arithmetics of number fields: partitions, norms, and quadratic forms (from 2021)
Jakub Krásenský, Universal quadratic forms over orders in number fields (from 2018)
Magdaléna Tinková, Arithmetics of number fields and generalized continued fractions (2017-2021)
next job: assistant professor (tenure track) at Czech Technical University in Prague, Faculty of Information Technology, Department of applied mathematics
Master's
Sára Vyhnalová, Ideal lattices in cryptography (co-advised by Pavlo Yatsyna, from 2020)
Kristína Mišlanová, Quaternion algebras and units (2021)
Lucien Šíma, Finitely generated semirings and semifields (2021)
Ester Sgallová, Periodicity of Jacobi-Perron algorithm (co-advised by Magda Tinková, 2021)
2nd place in SVOC research competition
Pavel Surý, Local-global principle for quadratic forms (2020)
Martin Čech, Pretentious approach to analytic number theory (2018)
Kristýna Zemková, Composition of quadratic forms over number fields (2018)
3rd place in SVOC research competition
Dominik Lachman, Bruhat-Tits buildings (2017)
1st place in SVOC research competition
Jakub Hlavnička (FJFI ČVUT), Products of primes in arithmetic sequences and prime number theorem (2016)
Maroš Hrnčiar, Solving diophantine equations by factorization in number fields (2015)
Bachelor's
Martin Raška, Sums of squares in number fields (2021)
Bára Tížková, Universal quadratic forms and estimates of traces of algebraic integers (2021)
Ondrej Bínovský, Imaginary quadratic fields with class number 1 (2021)
Matěj Doležálek, Quaternions and universal quadratic forms over number fields (2021, only SVOC)
1st place in SVOC research competition
Alexandr Beneš, Counting extensions of imaginary quadratic fields (2020)
Veronika Hájková, Pythagoras numbers of orders in number fields (2020)
Martin Kuděj, Continued fractions with prescribed period (2020)
Kateřina Bžatková, Visibly irreducible polynomials (2019)
Kristína Mišlanová, Matrix of Legendre symbols (2019)
Sára Vyhnalová, Solovay-Strassen primality test (2019)
Anh Dung Le, Bernoulli numbers and ideal class groups (2017)
Martin Čech, Algebraic proofs of Dirichlet's theorem on arithmetic progressions (2016)
Josef Svoboda, Universal quadratic forms over number fields (2016)
High school (SOC research competition)
Matěj Doležálek, Quaternions and generalizations of four-square theorem (2019)
1st place in SOC research competition, České hlavičky award
Matěj Doležálek, The congruent number problem (2018)
List of supervised theses at CUNI
Student articles (without me as a co-author)
arxiv:1909.05422 (Proc. Edinb. Math. Soc. 63 (2020), 861-912)
arxiv:1812.03460 (J. Number Theory 212 (2020), 458-482)
arxiv:1807.03050 (Publ. Math. Debrecen 99 (2021), 25-50)
arxiv:1802.07811 (Math. Nachr. 292 (2019), 540-555)
arxiv:1712.00741 (Math. Slov., to appear)
Student grants
Number systems in lattices and number field orders
J. Krásenský (PI), K. Mišlanová, M. Zindulka
GAUK, 2020-2022
Indecomposable integers and universal quadratic forms
M. Tinková (PI), M. Čech, J. Krásenský, K. Zemková
GAUK, 2018-2020
the outcomes of the grant were evaluated by the grant agency as exceptionally good
Several smaller Student faculty grants
Tips
Jak na doktorát do USA (How to apply for PhD in the US, in Czech)
Na internetu je spousta příruček na to, jak psát matiku v angličtině, třeba tahle.
above Gondla village