Students

Students advised

Ph.D.

Om Prakash, Representations of algebraic integers by higher degree forms (from 2023)
Mikuláš Zindulka, Arithmetics of number fields: partitions, norms, and quadratic forms (from 2021)
Jakub Krásenský, Universal quadratic forms over orders in number fields (2018–2023)
     next job: assistant professor (tenure track) at Czech Technical University in Prague, Faculty of Information Technology, Department of Applied Mathematics
Magdaléna Tinková, Arithmetics of number fields and generalized continued fractions (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

Master’s

Matěj Doležálek, Quaternion orders and quadratic forms (2024)
Martin Kuděj, Semilattices and indecomposable elements (2024)
Martin Raška, Geometry of multidimensional continued fractions (2024)
Bára Tížková, Adeles and class fields (2023)
Sára Vyhnalová, Ideal lattices in cryptography (co-advised by Pavlo Yatsyna, 2021)
Kristína Mišlanová, Quaternion algebras and units (2021)
Ester Sgallová, Periodicity of Jacobi-Perron algorithm (co-advised by Magda Tinková, 2021)
     2nd place in SVOC research competition
Lucien Šíma, Finitely generated semirings and semifields (2021)
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
     Dean’s prize
Dominik Lachman, Bruhat-Tits buildings (2017)
     1st place in SVOC research competition
     Dean’s prize
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

Natália Bátorová, Arithmetic-geometric mean sequences and elliptic curves over finite fields (co-advised by Stevan Gajović, 2024)
Jan Kotyk, Congruent numbers, elliptic curves, and L-functions (co-advised by Stevan Gajović, 2024)
Žaneta Lipertová, Non-unique factorization in number fields (2024)
Emma Pěchoučková, Conway’s topograph (2024)
Anna Růžičková, Two-dimensional integer trigonometry (co-advised by Martin Raška, 2024)
Tomáš Sklenář, Proving combinatorial identities via formal power series (co-advised by Siu Hang Man, 2024)
František Couf, Fourier transform on polytopes and tiling with rectangles (co-advised by Mikuláš Zindulka, 2023)
Simona Hlavinková, The structure of generalized Pythagorean triples (2023)
Veronika Jarrahová, Cyclotomic extensions and the Kronecker-Weber theorem (2023)
Filip Kucka, RSA in number fields and on lattices (2023)
David Stern, Partitions of totally positive elements in real quadratic fields (co-advised by Mikuláš Zindulka, 2023)
Matěj Doležálek, Subfields of number field extensions and quadratic forms (2022)
     3rd place in SVOC research competition
Daniela Lněničková, Geometric solution of quadratic diophantine equations (2022)
Martin Raška, Sums of squares in number fields (2021)
     Dean’s prize
     Honorable mention in SVOC research competition
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, unofficial research project)
     Award of The Learned Society of the Czech Republic
     1st place in SVOC research competition
Alexandr Beneš, Counting extensions of imaginary quadratic fields (2020)
     Dean’s prize
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 SOČ research competition, České hlavičky award
Matěj Doležálek, The congruent number problem (2018)

List of supervised theses at CUNI

Student articles

See yellow authors here.

Student grants

Additive structure of integral elements in number fields

Number systems in lattices and number field orders

Indecomposable integers and universal quadratic forms

  • Magdaléna Tinková (PI), Martin Čech, Jakub Krásenský, Kristýna Zemková
  • GAUK, 2018–2020
  • the outcomes of the grant were evaluated by the grant agency as exceptionally good

Numerous smaller Student faculty grants

Tips & links

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.
Teorie čísel na matfyzu
Jak na vybírání vedoucího

above Gondla village