UNCE / SCI / 022
Papers
The list below contains
papers with one or more authors partially supported by the
project (jr-members or students).
The online info in each item (usually ArXiv or DOI) points to a web page where is
(or eventually will be) a complete biblio info.
Published in
2018,
2019,
2020,
2021,
2022,
2023.
Preprints
Chris Lambie-Hanson and Davd Uhrik,
Hajnal-Mate graphs, Cohen reals, and disjoint type guessing,
ArXiV: https://browse.arxiv.org/abs/2312.01828
O.Celikbas,
S.Dey, T.Kobayashi and H.Matsui,
On reducing projective dimension over local rings,
preprint 2023,
DOI: https://doi.org/10.1017/S0017089523000368
Michael Kompatscher,
The subpower membership problem of 2-nilpotent algebras,
ArXiv: 2309.16549, preprint 2023.
O.Celikbas, S.Dey, T.Kobayashi, H.Matsui and A.Sadeghi,
Two theorems on the vanishing of Ext
DOI: https://doi.org/10.48550/arXiv.2308.08999
Isaac Bird and Jordan Williamson,
Definable functors between triangulated
categories with applications to tensor-triangular geometry and representation
theory,
DOI: https://doi.org/10.48550/arXiv.2310.02159
Souvik Dey,
Strong generation and (co)ghost index for module categories,
DOI: https://doi.org/10.48550/arXiv.2307.13675
D. Gil-Munoz, M. Tinkova,
The lifting problem for universal quadratic forms over
simplest cubic fields,
Bull. Aust. Math. Soc. (to appear)
M. Melistas,
Torsion and twists of abelian varieties
D. Gil-Munoz,
A generalization of Kummer theory to Hopf-Galois extensions
ArXiv: https://arxiv.org/abs/2305.08648
V. Kala, M. Zindulka,
Partitions into powers of an algebraic number
ArXiv: http://arxiv.org/abs/2305.16688
H. Rada, S. Starosta, V. Kala,
Periodicity of general multidimensional continued
fractions using repetend matrix form
ArXiv: https://arxiv.org/abs/2307.00898
B. Zmija,
Large gaps between values of several quadratic forms
J. Marchwicki, B. Zmija,
Bounded ranges of cardinal functions
N. Daans, V. Kala, S. H. Man,
Universal quadratic forms and Northcott property
of infinite number fields
ArXiv: https://arxiv.org/abs/2308.16721
Michael Kompatscher,
CSAT and CEQV for nilpotent algebras of Fitting length > 2, submitted
ArXiv:
https://arxiv.org/abs/2105.00689
K. J. Becher, N. Daans, D. Grimm, G. Manzano-Flores, M. Zaninelli,
The
Pythagoras number of a rational function field in two variables.
ArXiv: https://arxiv.org/abs/2302.11425
V. Kala, P. Yatsyna, B. Zmija,
Real quadratic fields with a universal form of
given rank have density zero.
ArXiv: https://arxiv.org/abs/2302.12080
T. Crespo, D. Gil-Munoz, A. Rio, M. Vela,
Double semidirect products and skew
left braces of size np.
ArXiv: https://arxiv.org/abs/2302.13098
V. Kala, E. Sgallova, M. Tinkova,
Arithmetic of cubic number fields:
Jacobi-Perron, Pythagoras, and indecomposables.
ArXiv: https://arxiv.org/abs/2303.00485
V. Kala, T. Kepka, M. Korbelar,
Congruence-simple matrix semirings.
ArXiv: http://arxiv.org/abs/2303.06921
I. Araujo, B. Frederickson, R. A. Krueger, B. Lidicky, T. B. McAllister, F.
Pfender, S. Spiro, E. N. Stucky,
Triangle Percolation on the Grid.
ArXiv: https://arxiv.org/abs/2303.15402
Isaac Bird and Jordan Williamson,
The homological spectrum via definable
subcategories
DOI: https://doi.org/10.48550/arXiv.2304.05179
D.Uhrik,
Complete Bipartite Partition Relations in Cohen Extensions,
ArXiv: https://arxiv.org/abs/2302.05634
G. Cherubini, P. Mercuri,
Parity of 4-regular and 8-regular partition functions
Ramanujan J., to app.,
ArXiv: https://arxiv.org/abs/2212.11356
G. Cherubini, P. Yatsyna,
Degrees of Salem numbers of trace −3,
ArXiv: https://arxiv.org/abs/2301.06536
D. Gil-Munoz, M. Tinkova,
Additive structure of non-monogenic simplest cubic fields.
ArXiv: https://arxiv.org/abs/2212.00364 (preprint)
V. Kala,
On continued fraction coefficients of square roots of primes.
ArXiv: https://arxiv.org/abs/2212.07198 (preprint)
B. Zmija,
High order congruences for M-ary partitions.
Z. Patakova: Bounding Radon number via Betti numbers
https://arxiv.org/pdf/1908.01677.pdf
David Uhrik,
The Uncountable Hadwiger Conjecture and Characterizations of
Trees Using Graphs,
ArXiv: https://arxiv.org/abs/2212.02169
T.Kania, D.H.Leung and M.Rmoutil,
Erratum and addendum to
"Recovering a compact Hausdorff space X
from the compatibility ordering on C(X)",
Fund. Math. 242 (2018), 187-205.
DOI: 10.4064/fm170-2-2022
B.Hudcova, T.Mikolov,
Classification of Discrete Dynamical Systems Based on Transients
doi: 10.1162/artl_a_00342
B.Hudcova, T.Mikolov,
Computational Hierarchy of Elementary Cellular Automata
doi: 10.1162/isal_a_00447
Liran Shaul,
Sequence-regular commutative DG-rings,
ArXiv.
X.Goaoc, A.Holmsen, Z.Patakova,
A Stepping-Up Lemma for Topological
Set Systems
ArXiv/pdf.
J. Dudak and B. Vejnar,
The complexity of homeomorphism relations on some classes
of compacta with bounded topological dimension
ArXiv
L.Shaul and J.Williamson,
Lifting (co)stratifications between tensor triangulated categories,
Israel Journal of Mathematics, accepted.
ArXiv
A.Slavik, J.Stovicek,
On flat generators and Matlis duality for
quasicoherent sheaves,
Bulletin of the London Mathematical Society,
DOI
M.Hrbek, L.Positselski, A.Slavik,
Countably generated flat modules are quite flat,
to appear in the Journal of Commutative Algebra,
Project Euclid.
M.Prest, A.Slavik,
Purity in categories of sheaves,
Mathematische Zeitschrift,
DOI.
P.Kawalek,
M.Kompatscher, and J.Krzaczkowski,
Circuit equivalence in 2-nilpotent algebras.
ArXiv
A.Slavik,
Purity in categories of sheaves,
ArXiv
A.Slavik,
On flat generators and Matlis duality for quasicoherent sheaves
ArXiv
A.Slavik,
Countably generated flat modules are quite flat,
ArXiv
A.Vernerova and J.Verner,
PyVallex: a processing system for valnce lexicon data,
preprint 2019.
J.Saroch,
On the nontrivial solvability of systems of homogeneous linear equations
over Z in ZFC,
Comm.Math.Univ.Carolinae, accepted.
ArXiv.
T.Lavicka and J. Verner,
Completely separably MAD families and the modal
logic of $\beta\omega$,
J. of Symbolic Logic, to appear.
ArXiv.
Jan Hubicka, Michael Kompatscher
and Matej Konecny,
Forbidden cycles in metrically homogeneous graphs,
European J. of Combinatorics, to app.,
ArXiv.
G. Cherubini, A. Fazzari,
Hyperbolic angles from Heegner points.
Michigan Math J., to app.
ArXiv: https://arxiv.org/abs/2206.08282
V. Kala, L. Sima,
On generators of commutative semifields,
ArXiv: https://arxiv.org/abs/2307.07287
P. Miska, J. Toth, B. Zmija,
On distribution of subsequences of primes having
prime indices with respect to the (R)-densness and convergence exponent.
ArXiv: https://arxiv.org/abs/1908.10421.pdf
S.Opper,
Spherical objects, transitivity and auto-equivalences of
Kodaira cycles via gentle algebras,
J.EMS, to app.
ArXiv:
https://arxiv.org/pdf/2011.08288
Published in 2023
B. Zmija, Arithmetic properties of colored p-ary partitions,
Acta Math. Hungar., 171 (1) (2023), 53-66
V. Kala,
Universal quadratic forms and indecomposables in number fields: A
survey.
Commun.Math, 31(2), (2023), pp.81-114
DOI: https://doi.org/10.46298/cm.10896
J. Glivicka, E. Sgallova, J. Saroch,
Controlling distribution of prime sequences in discretely ordered principal
ideal subrings of Q[x],
Proc. Amer. Math. Soc., 151, (2023), pp.3281-3290..
DOI: https://doi.org/10.1090/proc/16358
V. Kala, P. Miska,
On continued fraction coefficients of square roots of primes.
\J/Number Th., 253, (2023), pp.215-234.
DOI: https://dx.doi.org/10.1016/j.int.2023.06.013
V. Kala, M. Tinkova,
Universal quadratic forms, small norms and traces in
families of number fields,
Int. Math. Res. Not. IMRN, 9, (2023), pp.7541-7577.
DOI: https://doi.org/10.1093/imrn/rnac073
G. Cherubini, A. Fazzari, A. Granville, V. Kala, P. Yatsyna,
Consecutive real
quadratic fields with large class numbers,
Int. Math. Res. Not. IMRN (2023), pp.12052-12063..
DOI: https://doi.org/10.1093/imrn/rnac176
F.Genovese,
T-structures on unbounded twisted complexes,
Mathematische Zeitschrift, 305, Articl eno.18 (2023).
DOI: https://doi.org/10.1007/s00209-023-03340-4
M. Tinkova,
On the Pythagoras number of the simplest cubic fields,
Acta Arith.
208, (2023) 325-354.
DOI: https://doi.org/10.4064/aa221003-27-6
Jakub Bulin, Michael Kompatscher,
Short definitions in constraint languages.
Proceedings of the 48th International Symposium on Mathematical
Foundations of Computer Science (MFCS 2023), p28:1--28:15.
DOI: https://doi.org/10.4230/LIPIcs.MFCS.2023.28
M.Tinkova,
Trace and norm of indecomposable integers in cubic orders,
Ramanujan J. 61, (2023) 1121-1144.
DOI: https://doi.org/10.1007/s11139-022-00669-y
G. Cherubini, P. Yatsyna,
Cyclic polytope of the simplest cubic fields,
Discrete Comput. Geom. 69 (2023), 338-348.
DOI: https://doi.org/10.1007/s00454-021-00369-2
ArXiv: https://arxiv.org/abs/2011.04326
V. Kala,
Number fields without universal quadratic forms of small rank exist in
most degrees,
Math. Proc. Cambridge Philos. Soc. 174 (2023), 225-231.
DOI: https://www.doi.org/10.1017/S0305004122000214
ArXiv: https://arxiv.org/abs/2101.10364
J. Krasenska, P. Yatsyna,
On quadratic Waring's problem in totally real number
fields,
Proc. Amer. Math. Soc. 151 (2023), 1471-1485.
DOI: https://doi.org/10.1090/proc/16233
ArXiv: https://arxiv.org/abs/2112.15243
T. Crespo, D. Gil-Munoz, A. Rio, M. Vela,
Inducing braces and Hopf Galois
structures,
J. Pure Appl. Algebra 227 (9) (2023), 107371.
DOI: https://doi.org/10.1016/j.jpaa.2023.107371
ArXiv: https://arxiv.org/abs/2206.03810
V. Kala, P. Yatsyna,
On Kitaoka's conjecture and lifting problem for universal
quadratic forms,
Bull. Lond. Math. Soc. 55 (2), 854-864.
DOI: http://doi.org/10.1112/blms.12762
ArXiv: https://arxiv.org/abs/2110.06260
D. Gil-Munoz,
The ring of integers of Hopf-Galois degree p extensions of p-adic
fields with dihedral normal closure,
J.of Number Theory, 245 (2023), 65-118.
DOI: https://doi.org/10.1016/j.jnt.2022.10.002
ArXiv: https://arxiv.org/abs/2205.13517
M. Tinkova, E. Waxman and M. Zindulka,
Artin twin primes, J. Number Theory 245,
(2023) 203-232.
DOI: 10.1016/j.jnt.2022.10.006
ArXiv: https://arxiv.org/abs/2010.15988
T.Crespo, D.Gil-Munoz, A.Rio, M.Vela,
Left braces of size 8p,
J.of Algebra, 617 (2023), 317-339.
DOI:
https://doi.org/10.1016/j.jalgebra.2022.11.011
ArXiv: https://arxiv.org/abs/2205.04201
Published in 2022
Pierre Gillibert, Julius Jonuas, M.Kompatscher, Antoine Mottet,
Michael Pinsker,
When symmetries are not enough: A hierarchy of hard constraint satisfaction problems.
SIAM Journal on Computing, 5(2), 175-213, 2022.
DOI: https://doi.org/10.1137/20M1383471
M.Kompatscher,
CC-circuits and the expressive power of nilpotent algebras.
Logical Methods in Computer Science, 18(2), 12:1-12:15, 2022.
DOI:
https://doi.org/10.46298/lmcs-18(2:12)2022
Z. Patakova, M. Sharir:
Covering Points by Hyperplanes and Related Problems
Proceedings of SoCG 2022: 57, 1--7
DOI: https://doi.org/10.4230/LIPIcs.SoCG.2022.57
Z. Patakova, M. Tancer, U. Wagner:
Barycentric Cuts Through a Convex Body
Discrete & Computational Geometry volume??68,??pages 1133???1154 (2022)
DOI: https://doi.org/10.1007/s00454-021-00364-7
Bruin, B.Vejnar:
Classification of one dimensional dynamical systems by countable structures
Journal of symbolic Logic,
published online
DOI: https://doi.org/10.1017/jsl.2022.67
J. Krasensky, M. Raska, E. Sgallova,
Pythagoras numbers of orders in biquadratic
fields,
Expo. Math. 40, 1181???1228 (2022).
DOI: 10.1016/j.exmath.2022.06.002
G. Cherubini, P. Yatsyna,
Potential energy of totally positive algebraic
integers,
J. Math. Anal. Appl. 516 (2) (2022), 126518.
DOI:??https://doi.org/10.1016/j.jmaa.2022.126518
ArXiv:??https://arxiv.org/abs/2202.05235
G. Cherubini, P. Yatsyna,
Cyclic polytope of the simplest cubic fields, Discrete
Comput Geom (to app).
DOI:??https://doi.org/10.1007/s00454-021-00369-2
ArXiv:??https://arxiv.org/abs/2011.04326
Tomas Hejda, Vitezslav Kala,
Ternary quadratic forms representing a given
arithmetic progression,
J. Number Theory??234 (2022), 140???152.
DOI: https://doi.org/10.1016/j.jnt.2021.09.017
ArXiv:??https://arxiv.org/abs/1906.02538
Alexandr Kazda, Peter Mayr, Dmitriy Zhuk,
Small Promise CSPs that reduce
to large CSPs,
Logical Methods in Computer Science, August 22, 2022,
Volume 18, Issue 3
DOI,
ArXiv
Alexandr Kazda, Michael Kompatscher,
Local-global property for
G-invariant terms,
International Journal of Algebra and Computation.
Vol. 32, No. 06, pp. 1209-1231 (2022)
DOI,
ArXiv.
S.Opper and A.Zvonareva,
Derived equivalence classification of Brauer graph algebras
Advances in Mathematics, Vol.402, (June 2022), 108341.
DOI
and
ArXiv.
D.Gil-Munoz, A.Rio,
Hopf Galois module structure of quartic Galois extensions
of Q, J. Pure Appl. Algebra 226 (9) (2022), 107045
DOI: https://doi.org/10.1016/j.jpaa.2022.107045
ArXiv: https://arxiv.org/abs/2107.13515
L.Shaul,
Open loci results for commutative DG-rings,
Journal of Pure and Applied Algebra,
Volume 226, Issue 5, May 2022, No.106922.
ArXiv.
J. Krasensky,
A cubic ring of integers with the smallest Pythagoras number,
Arch. Math. (Basel) 118, 39-48 (2022).
DOI,
also available at arXiv:2107.11772.
E.Pelantova, T.Vavra,
On positional representations of integer vectors,
Linear
Algebra Appl. 633 (2022), 316-331.
ArXiv: https://arxiv.org/abs/2103.02599,
DOI: https://doi.org/10.1016/j.laa.2021.10.018.
Z.Masakova, T.Vavra, F.Veneziano,
Finiteness and periodicity of continued fractions over quadratic number fields,
Bull. Soc. Math. Fr. 150 (1) (2022), 77???109.
ArXiv: https://arxiv.org/abs/1911.07670
Published in 2021
X. Goaoc, A. Holmsen, Z. Patakova: Stepping-up Lemma for Topological Set Systems
Proceedings of SoCG 2021: 40, 1--17
DOI: https://doi.org/10.4230/LIPIcs.SoCG.2021.40
https://arxiv.org/abs/2103.09286
B. Vejnar:
There is no compact metrizable space containing all
continua as unique components,
Topology and its Applications, Volume 299, 1 August 2021, 107742
DOI: doi.org/10.1016/j.topol.2021.107742
B. Faye, L. Matthiesen, D. Schindler, M. Tinkova and K. Zemkova,
Integers
Represented by Ternary Quadratic Forms,
Women in Numbers Europe III: Research
Directions in Number Theory,
Association for Women in Mathematics Series, vol
24, Springer, (2021) 207-231.
DOI: https://doi.org/10.1007/978-3-030-77700-5_7
T. Vavra,
Periodic representations in Salem bases.
Isr. J. Math. 242 (2021),
83-95.
DOI,
ArXiv.
Libor Barto, Jakub Bulin, Andrei Krokhin, Jakub Oprsal,
Algebraic approach to promise constraint satisfaction,
ArXiv
Journal of the ACM 68/4 (2021), 1-66
Vitezslav Kala, Pavlo Yatsyna,
Lifting problem for universal quadratic forms,
Adv. Math. 377 (2021), 107497
DOI,
ArXiv.
Magdalena Tinkova,
Arithmetics in number systems with cubic base
Publ. Math. Debrecen 99, (2021) 25-50.
DOI,
ArXiv,
Alexandr Kazda, Dmitriy Zhuk,
Existence of cube terms in finite finitely generated clones",
Algebra Univers. 82, 11 (2021).
DOI
and ArXiv.
Liran Shaul,
Koszul complexes over Cohen-Macaulay rings,
Advances in Mathematics, Volume 386, 2021, 107806
DOI
ArXiv.
Liran Shaul,
Smooth flat maps over commutative DG-rings,
Mathematische Zeitschrift,
(2021) Volume 299, pp. 1673 - 1688.
ArXiv,
DOI.
Alexandr Kazda,
Deciding the existence of quasi weak near unanimity
terms in finite algebras,
Journal of Multiple-Valued Logic and Soft
Computing,36(4-5) (2021) 337-352.
URL:
https://www.oldcitypublishing.com/journals/mvlsc-home/mvlsc-issue-contents/mvlsc-volume-36-number-4-5-2021/mvlsc-36-4-5-p-337-352/
ArXiv.
L.Shaul and V.Vinnikov,
Pole placement for overdetermined 2D systems,
Linear Algebra and its Applications Volume 610, 1 February 2021, Pages
529-559.
DOI
and
ArXiv.
Published in 2020
P. Krupski and B. Vejnar,
The complexity of homeomorphism relations on some classes
of compacta,
Journal of Symbolic Logic 85 (2020) 733-748.
ArXiv.
DOI.
L.Shaul,
The Cohen-Macaulay property in derived commutative algebra,
Transactions of the American Mathematical Society,
373 (2020), no. 9, 6095 - 6138
DOI,
ArXiv.
Tomas Hejda, Vitezslav Kala,
Additive structure of totally positive quadratic integers,
Manuscripta Math. 163 (2020), 263 - 278.
DOI: 10.1007/s00229-019-01143-8
ArXiv.
Alexandr Kazda, Matt Valeriote.
Deciding some Maltsev conditions in
finite idempotent algebras,
J.Symbolic Logic,
85 (2), 2020.
DOI: 10.1017/jsl.2019.73.
URL: https://doi.org/10.1017/jsl.2019.73
ArXiv,
Alexandr Kazda, Jakub Oprsal, Matt Valeriote, Dmitriy Zhuk.
Deciding the
existence of minority terms,
Canadian Mathematical Bulletin, 63(3):577-591, (2020).
ArXiv
DOI
V. Kala, P. Yatsyna,
Sums of squares in S-integers,
New York J. Math. 26 (2020), 1145 - 1154
( journal url),
ArXiv.
P.Gillibert, J.Jonusas, M.Kompatscher, A.Mottet, M.Pinsker,
Hrushovski's Encoding and omega-Categorical CSP Monsters,
47th International Colloquium on Automata, Languages, and Programming (ICALP
2020)
DOI: 10.4230/LIPIcs.ICALP.2020.131
J. Krasensky, M. Tinkova, K. Zemkova,
There are no universal ternary quadratic
forms over biquadratic fields,
Proc. Edinburgh Math. Soc. 63(3), 861???912 (2020).
doi:10.1017/S001309152000022X
Published in 2019
Jakub Bulin, Andrei Krokhin, Jakub Oprsal,
Algebraic approach to promise constraint satisfaction,
Proceedings of the 51st Annual ACM
SIGACT Symposium on Theory of Computing, June 2019, Pages 602???613.
DOI: 10.1145/3313276.3316300
ArXiv.
Alexandr Kazda,
Taylor term does not imply any nontrivial linear
one-equality Maltsev condition,
Algebra Univers. (2019) 80: 9.
DOI: 10.1007/s00012-019-0580-x
ArXiv.
Michael Kompatscher,
Some notes on extended equation solvability and identity checking
for groups,
Acta Mathematica Hungarica, 159(1) 246-256, Oct 2019.
DOI: 10.1007/s10474-019-00924-7
ArXiv.
A. Bartos, J. Bobok, P. Pyrih and B. Vejnar,
Compactifiable classes of compacta,
Topology and its Applications 266 (2019), 106836.
DOI: 10.1016/j.topol.2019.106836
ArXiv.
A. Bartos, J. Bobok, P. Pyrih, S. Roth and B. Vejnar,
Constant slope, entropy and horseshoes for a map on a tame dendrite,
Ergodic Theory and Dynamical Systems, 2019, pp.1-25.
DOI: 10.1017/etds.2019.29
ArXiv.
Magdalena Tinkova and Paul Voutier,
Indecomposable integers in real quadratic fields,
J. Number Theory, aa
DOI: 10.1016/j.jnt.2019.11.005
ArXiv,
Miha E. Habic, and Joel David Hamkins, and Lukas Daniel Klausner, and Jonathan
Verner, and Kameryn J. Williams,
Set-theoretic blockchains,
Arch. Math. Logic
(2019) 58: 965.
DOI: 10.1007/s00153-019-00672-z
Raghavan, Dilip, and Jonathan L. Verner,
Chains of P-Points,
Canadian Mathematical Bulletin 62, no. 4 (2019): 856???68.
DOI: 10.4153/S0008439519000043
Published in 2018
Michael Kompatscher,
The equation solvability problem over supernilpotent algebras with
Malcev term,
International Journal of Algebra and Computation,
(url),
28(6), 1005 - 1015, 2018.
DOI: 10.1142/S0218196718500443
Lovkush Agarwal and Michael Kompatscher
$2^{\aleph_0}$ pairwise nonisomorphic maximal-closed subgroups of Sym(N) via
the classification of the reducts of the Henson digraphs,
Journal of Symbolic Logic
(url), 83(2), 395-415, 2018.
DOI: 10.1017/jsl.2017.74
Vitezslav Kala, Miroslav Korbelar,
Idempotence of finitely generated commutative semifields,
Forum Mathematicum, 30(6), 2018.
Url,
DOI: 10.1515/forum-2017-0098.
Valentin Blomer, Vitezslav Kala,
On the Rank of Universal Quadratic Forms over Real Quadratic Fields,
Doc. Math. 23, 15-34 (2018),
Url,
DOI: 10.25537/dm.2018v23.15-34.
Alexander Dahl, Vitezslav Kala,
Distribution of Class Numbers in Continued
Fraction Families of Real Quadratic
Fields,
Proceedings of the Edinburgh Mathematical Society, 61(4), 2018, 1193-1212.
Url,
DOI: 10.1017/S0013091518000159.