Team publications

Last update on March 7, 2025

Yellow: our students
Orange: our postdocs
Red: PI

Submitted

K. J. Becher, N. Daans, V. Mehmeti, The u-invariant of function fields in one variable, arxiv
N. Daans, S. Gajović, S. H. Man, P. Yatsyna, Pythagoras numbers for infinite algebraic fields, arxiv
S. Gajović, L. Radičević, M. Verzobio, The density of elliptic curves over Qp with a rational 3-torsion point or a rational 3-isogeny, arxiv
M. Tinková, R. Visser, P. Yatsyna, Sums of two units in number fields, arxiv
V. Kala, J. Krásenský, D. Park, P. Yatsyna, B. Żmija, Kitaoka’s conjecture for quadratic fields, arxiv
S. Gajović, J. Hanselman, A. Koutsianas, Local-global principle for isogenies of elliptic curves over quadratic fields, arxiv
M. Zindulka, Counting principal ideals of small norm in the simplest cubic fields, arxiv
D. Park, Almost regularity of m-gonal form
V. Kala, J. Krásenský, G. Romeo, Universality criterion sets for quadratic forms over number field, arxiv
M. Zindulka, Norm bounds for non-uniquely decomposable elements in real quadratic fields, arxiv
D. Gil-Muñoz, Hopf-Galois module structure of degree p extensions of p-adic fields, arxiv
M. Doležálek, Generalizing Hurwitz’s quaternionic proof of Lagrange’s and Jacobi’s four-square theorems, arxiv
N. Daans, V. Kala, S. H. Man, M. Widmer, P. Yatsyna, Most totally real fields do not have universal forms or Northcott property, arxiv
K. J. Becher, N. Daans, D. Grimm, G. Manzano-Flores, M. Zaninelli, The Pythagoras number of a rational function field in two variables, arxiv
O. Chwiedziuk, M. Doležálek, S. Hlavinková, E. Pěchoučková, Z. Pezlar, O. Prakash, A. Růžičková, M. Zindulka, No proper generalized quadratic forms are universal over quadratic fields, arxiv
V. Kala, D. Kim, S. H. Lee, Universality lifting from a general base field, arxiv
T. Crespo, D. Gil-Muñoz, A. Rio, M. Vela, Determining skew left braces of size np, arxiv
M. Bordignon, G. Cherubini, Coprime-universal quadratic forms, arxiv
M. Bordignon, D. R. Johnston, V. Starichkova, An explicit version of Chen’s theorem, arxiv
M. Zindulka, Sums of Hurwitz class numbers, CM modular forms, and primes of the form x^2+ny^2, arxiv
N. Daans, P. Dittmann, Universally defining subrings in function fields, arxiv
O. Chwiedziuk, M. Doležálek, E. Pěchoučková, Z. Pezlar, O. Prakash, G. Romeo, A. Růžičková, M. Zindulka, Representing rational integers by generalized quadratic forms over quadratic fields, arxiv
V. Kala, P. Yatsyna, Even better sums of squares over quintic and cyclotomic fields, arxiv
K. J. Becher, N. Daans, P. Dittmann, Uniform existential definitions of valuations in function fields in one variable, arxiv
M. Doležálek, M. Raška, E. Sgallová, E. N. Stucky, M. Zindulka, The six-vertex model with a non-standard boundary condition, arxiv
J. Marchwicki, B. Żmija, Bounded ranges of cardinal functions
V. Kala, P. Yatsyna, B. Żmija, Real quadratic fields with a universal form of given rank have density zero, arxiv
S. H. Man, Distribution of parity differences in partitions into distinct parts, arxiv
B. Żmija, Large gaps between values of several quadratic forms
M. Bordignon, E. S. Lee, Explicit upper bounds for the number of primes simultaneously representable by any set of irreducible polynomials, arxiv
P. Miska, J. Tóth, B. Żmija, On distribution of subsequences of primes having prime indices with respect to the (R)-denseness and convergence exponent, arxiv
J. Kerner, P. Yatsyna, On the spectral gap of the path graph in the limit of large volume, arxiv

To appear

G. Cherubini, A. Fazzari, Hyperbolic angles from Heegner points, Michigan Math. J. (to appear), arxiv, journal
G. Cherubini, P. Yatsyna, There are Salem numbers with trace −3 and every degree at least 34, Exp. Math. (to appear), arxiv, journal
D. Park, Completing an universal m-gonal form with a closing unary piece, Res. Number Theory (to appear), arxiv, journal
O. Prakash, Northcott property and universality of higher degree forms, Int. J. Number Theory (to appear), arxiv, journal
S. Gajović, J. S. Müller, Computing p-adic heights on hyperelliptic curves, Math. Comp. (to appear), arxiv, journal
N. Daans, V. Kala, J. Krásenský, P. Yatsyna, Failures of integral Springer’s theorem, Proc. Amer. Math. Soc. (to appear), arxiv, journal
N. Bátorová, S. Gajović, Arithmetic-geometric mean sequences over finite fields Fq, where q ≡ 5 (mod 8), Bull. Aust. Math. Soc. (to appear), arxiv, journal
S. Gajović, J. S. Müller, Linear quadratic Chabauty, Israel J. Math. (to appear), arxiv
M. Tinková, Bounds on the Pythagoras number and indecomposables in biquadratic fields, Proc. Edinb. Math. Soc. (to appear), arxiv

Published 2025

D. Gil-Muñoz, M. Tinková, Additive structure of non-monogenic simplest cubic fields, Ramanujan J. 66 (2025), article 47, 56 pp., arxiv, journal
I. Araujo, B. Frederickson, R. A. Krueger, B. Lidický, T. B. McAllister, F. Pfender, S. Spiro, E. N. Stucky, Triangle percolation on the grid, Discrete Comput. Geom. 73 (2) (2025), 569-593, arxiv, journal
D. Stern, M. Zindulka, Partitions in real quadratic fields, Math. Nachr. 298 (2) (2025), 548-566, arxiv, journal
V. Kala, S. H. Man, Sails for universal quadratic forms, Selecta Math. (N.S.) 31 (2025), article 26, 31 pp., arxiv, journal
V. Kala, E. Sgallová, M. Tinková, Arithmetic of cubic number fields: Jacobi-Perron, Pythagoras, and indecomposables, J. Number Theory 273 (2025), 37-95, arxiv, journal

Published 2024

A. Fazzari, A weighted one-level density of families of L-functions, Algebra Number Theory 18 (1) (2024), 87-132, arxiv, journal
N. Daans, Universally defining Z in Q with 10 quantifiers, J. Lond. Math. Soc. 109 (2) (2024), article e12864, 18 pp., arxiv, journal
S. Gajović, Reverse engineered Diophantine equations, Expo. Math. 42 (2) (2024), article 125545, 11 pp., arxiv, journal
V. Kala, L. Šíma, On minimal semiring generating sets of finitely generated commutative parasemifields, Algebra Universalis 85 (2024), article 24, 19 pp., arxiv, journal
H. Řada, Š. Starosta, V. Kala, Periodicity of general multidimensional continued fractions using repetend matrix form, Expo. Math. 42 (2024), article 125571, 36 pp., arxiv, journal
M. Melistas, Torsion and twists of abelian varieties, Bull. Lond. Math. Soc. 56 (2) (2024), 589-601, arxiv, journal
S. H. Man, Minimal rank of universal lattices and number of indecomposable elements in real multiquadratic fields, Adv. Math. 447 (2024), article 109694, 38 pp., arxiv, journal
V. Kala, M. Zindulka, Partitions into powers of an algebraic number, Ramanujan J. 64 (2024), 537-551, arxiv, journal
B. Hudcová, J. Krásenský, Simulation limitations of affine cellular automata, Theoret. Comput. Sci. 1003 (2024), article 114606, 17 pp., arxiv, journal
V. Kala, T. Kepka, M. Korbelář, Congruence-simple matrix semirings, Internat. J. Algebra Comput. 34 (3) (2024), 407-424, arxiv, journal
S. H. Man, Fourier coefficients Sp(4) Eisenstein series, Acta Arith. 213 (2024), 227-271, arxiv, journal
V. Kala, M. Melistas, Universal quadratic forms and Dedekind zeta functions, Int. J. Number Theory 20 (7) (2024), 1833-1847, arxiv, journal
B. Żmija, High order congruences for M-ary partitions, Period. Math. Hungar. 89 (2024), 155-167, arxiv, journal
M. Melistas, Reduction and isogenies of elliptic curves, Acta Arith. 215 (2024), 179-192, arxiv, journal
D. Gil-Muñoz, M. Tinková, The lifting problem for universal quadratic forms over simplest cubic fields, Bull. Aust. Math. Soc. 110 (1) (2024), 77-89, journal
V. Blomer, S. H. Man, Bounds for Kloosterman sums on GL(n), Math. Ann. 390 (2024), 1171-1200, arxiv, journal
M. Melistas, Reduction types of CM curves, Pacific J. Math. 329 (2) (2024), 233-257, arxiv, journal
K. G. Hare, T. Vávra, Self-similar sets and self-similar measures in the p-adics, J. Fractal Geom. 11 (2024), 247-287, arxiv, journal
D. Lachman, Distance formulas in Bruhat-Tits building of SL_d(Q_p), Internat. J. Math. 35 (4) (2024), article 2450005, 23 pp., arxiv, journal
D. Gil-Muñoz, A generalization of Kummer theory to Hopf-Galois extensions, J. Algebra 660 (2024), 190-235, arxiv, journal
N. Daans, Linkage of Pfister forms over semi-global fields, Math. Z. 308 (2024), article 41, 20 pp., arxiv, journal
M. Bordignon, V. Starichkova, An explicit version of Chen’s theorem assuming the Generalized Riemann Hypothesis, Ramanujan J. 64 (2024), 1213–1242, arxiv, journal
N. Daans, V. Kala, S. H. Man, Universal quadratic forms and Northcott property of infinite number fields, J. Lond. Math. Soc. 110 (5) (2024), article e70022, 20 pp., arxiv, journal
V. Kala, O. Prakash, There is no 290-Theorem for higher degree forms, Math. Nachr. 297 (11) (2024), 4322-4332, arxiv, journal
M. Melistas, An analogue of a conjecture of Rasmussen and Tamagawa for abelian varieties over function fields, Indag. Math. (N. S.) 35 (6) (2024), 1270-1281, arxiv, journal
K. Bringmann, S. H. Man, L. Rolen, M. Storzer, Asymptotics of parity biases for partitions into distinct parts via Nahm sums, Proc. Lond. Math. Soc. 129 (6) (2024), article e70010, 40 pp., arxiv, journal
E. N. Stucky, M. Thiel, N. Williams, Strange expectations in affine Weyl groups, Algebr. Comb. 7 (2024), 1551-1574, arxiv, journal
G. Cherubini, P. Mercuri, Parity of the 8-regular partition function, Ramanujan J. 63 (2024), 715-722, arxiv, journal

Published 2023

K. Zemková, Composition of Bhargava’s cubes over number fields, Expo. Math. 41 (4) (2023), article 125515, 26 pp., arxiv, journal
B. Żmija, Arithmetic properties of colored p-ary partitions, Acta Math. Hungar. 171 (1) (2023), 53-66, journal
M. Tinková, On the Pythagoras number of the simplest cubic fields, Acta Arith. 208 (2023), 325-354, arxiv, journal
V. Kala, P. Miska, On continued fraction partial coefficients of square roots of primes, J. Number Theory 253 (2023), 215-234, arxiv, journal
G. Cherubini, A. Fazzari, A. Granville, V. Kala, P. Yatsyna, Consecutive real quadratic fields with large class numbers, Int. Math. Res. Not. IMRN (2023), 12052-12063, arxiv, journal
V. Kala, Universal quadratic forms and indecomposables in number fields: A survey, Commun. Math. 31 (2) (2023), 81-114, arxiv, journal
M. Tinková, Trace and norm of indecomposable integers in cubic orders, Ramanujan J. 61 (2023), 1121-1144, arxiv, journal
J. Glivická, E. Sgallová, J. Šaroch, Controlling distribution of prime sequences in discretely ordered principal ideal subrings of Q[x], Proc. Amer. Math. Soc. 151 (2023), 3281-3290, arxiv, journal
G. R. W. Greaves, J. Syatriadi, P. Yatsyna, Equiangular lines in low dimensional Euclidean spaces: dimensions 17 and 18, Math Comp. 92 (2023), 1867-1903, arxiv, journal
V. Kala, M. Tinková, Universal quadratic forms, small norms and traces in families of number fields, Int. Math. Res. Not. IMRN (2023), 7541-7577, arxiv, journal
R. Chen, Y. Kim, J. Lichtman, S. J. Miller, A. Shubina, S. Sweitzer, E. Waxman, E. Winsor, J. Yang, A refined conjecture for the variance of gaussian primes across sectors, Experiment. Math. 32 (1) (2023), 33-53, arxiv, journal
V. Kala, P. Yatsyna, On Kitaoka’s conjecture and lifting problem for universal quadratic forms, Bull. Lond. Math. Soc. 55 (2023), 854-864, arxiv, journal
T. Crespo, D. Gil-Muñoz, A. Rio, M. Vela, Left braces of size 8p, J. Algebra 617 (2023), 317-339, arxiv, journal
D. Gil-Muñoz, The ring of integers of Hopf-Galois degree p extensions of p-adic fields with dihedral normal closure, J. Number Theory 245 (2023), 65-118, arxiv, journal
M. Raška, Representing multiples of m in real quadratic fields as sums of squares, J. Number Theory 244 (2023), 24-41, arxiv, journal
M. Tinková, E. Waxman, M. Zindulka, Artin twin primes, J. Number Theory 245 (2023), 203-232, arxiv, journal
G. Cherubini, P. Yatsyna, Cyclic polytope of the simplest cubic fields, Discrete Comput Geom 69 (2023), 338-348, arxiv, journal
V. Kala, Number fields without universal quadratic forms of small rank exist in most degrees, Math. Proc. Cambridge Philos. Soc. 174 (2023), 225-231, arxiv, journal
J. Krásenský, P. Yatsyna, On quadratic Waring’s problem in totally real number fields, Proc. Amer. Math. Soc. 151 (2023), 1471-1485, arxiv, journal
T. Crespo, D. Gil-Muñoz, A. Rio, M. Vela, Inducing braces and Hopf Galois structures, J. Pure Appl. Algebra 227 (2023), article 107371, 16 pp., arxiv, journal

Published 2022

J. Krásenský, A cubic ring of integers with the smallest Pythagoras number, Arch. Math. (Basel) 118 (2022), 39-48, arxiv, journal
G. Cherubini, H. Wu, G. Zábrádi, On Kuznetsov-Bykovskii’s formula of counting prime geodesics, Math. Z. 300 (2022), 881-928, arxiv, journal
E. Pelantová, T. Vávra, On positional representations of integer vectors, Linear Algebra Appl. 633 (2022), 316-331, arxiv, journal
T. Hejda, V. Kala, Ternary quadratic forms representing a given arithmetic progression, J. Number Theory 234 (2022), 140-152, arxiv, journal
D. Gil-Muñoz, A. Rio, Hopf Galois module structure of quartic Galois extensions of Q, J. Pure Appl. Algebra 226 (9) (2022), article 107045, 31 pp., arxiv, journal
G. Cherubini, P. Yatsyna, Potential energy of totally positive algebraic integers, J. Math. Anal. Appl. 516 (2) (2022), article 126518, 18 pp., arxiv, journal
J. Krásenský, M. Raška, E. Sgallová, Pythagoras numbers of orders in biquadratic fields, Expo. Math. 40 (2022), 1181-1228, arxiv, journal
A. Fazzari, A survey on a weighted one-level density of families of L-functions, Rend. Semin. Mat. Univ. Politec. Torino 80 (1) (2022), 29-40, journal

Published 2021

M. Tinková, Arithmetics in number systems with cubic base, Publ. Math. Debrecen 99 (2021), 25-50, arxiv, journal
K. Zemková, Composition of binary quadratic forms over number fields, Math. Slovaca 71(6) (2021), 1339-1360, arxiv, journal
G. R.W. Greaves, J. Syatriadi, P. Yatsyna, Equiangular lines in low dimensional Euclidean spaces, Combinatorica 41 (2021), 839-872, arxiv, journal
B. Faye, L. Matthiesen, D. Schindler, M. Tinková, K. Zemková, Integers represented by ternary quadratic forms, WINE III, Springer International Publishing (2021), 207-231, book
V. Kala, P. Yatsyna, Lifting problem for universal quadratic forms, Adv. Math. 377 (2021), article 107497, 24 pp., arxiv, journal
E. Waxman, Lower Order Terms for the One Level Density of a Symplectic Family of Hecke L-Functions, J. Number Theory 221 (2021), 447-483, arxiv, journal
T. Vávra, Periodic representations in Salem bases, Israel J. Math. 242 (2021), 83-95, arxiv, journal

Published 2020

T. Hejda, V. Kala, Additive structure of totally positive quadratic integers, Manuscripta Math. 163 (2020), 263-278, arxiv, journal
M. Tinková, P. Voutier, Indecomposable integers in real quadratic fields, J. Number Theory 212 (2020), 458-482, arxiv, journal
J. Krásenský, M. Tinková, K. Zemková, There are no universal ternary quadratic forms over biquadratic fields, Proc. Edinb. Math. Soc. 63 (2020), 861-912, arxiv, journal
V. Kala, P. Yatsyna, Sums of squares in S-integers, New York J. Math. 26 (2020), 1145-1154, arxiv, journal

Published 2019

V. Kala, J. Svoboda, Universal quadratic forms over multiquadratic fields, Ramanujan J. 48 (2019), 151-157, arxiv, journal
V. Kala, T. Vávra, Periodic representations in algebraic bases, Monatsh. Math. 188 (2019), 109-119, arxiv, journal
M. Čech, D. Lachman, J. Svoboda, M. Tinková, K. Zemková, Universal quadratic forms and indecomposables over biquadratic fields, Math. Nachr. 292 (2019), 540-555, arxiv, journal

Published 2018

V. Blomer, V. Kala, On the rank of universal quadratic forms over real quadratic fields, Doc. Math. 23 (2018), 15-34, arxiv, journal
T. Hejda, W. Steiner, Beta-expansions of rational numbers in quadratic Pisot bases, Acta Arith. 183 (2018), 35-51, arxiv, journal
T. Hejda, Multiple tilings associated to d-Bonacci beta-expansions, Monatsh. Math. 187 (2018), 275-291, arxiv, journal
A. Dahl, V. Kala, Distribution of class numbers in continued fraction families of real quadratic fields, Proc. Edinb. Math. Soc. 61 (2018), 1193-1212, arxiv, journal