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Ph.D.
FME, IM DAAG – Associate professor
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2026
KUREŠ, M.; MIKULSKI, W. Liftings of (0, q)-tensor fields to (0, p)-tensor fields on Weil bundles. Mathematica Slovaca, 2026, vol. 76, iss. 1, p. 253-264.
WoS Article
2025
WARREN, B.; KUREŠ, M. Every positive integer is a sum of at most n+2 centered n-gonal numbers. Mathematica Slovaca, 2025, vol. 75, iss. 3, p. 515-524. ISSN: 1337-2211.
KUREŠ, M. Instructions for carpenters on how to cut a tetrahedron. MATerials MATemàtics, 2025, vol. 2025, iss. 3, p. 1-5.
Peer-reviewed article not indexed in WoS or Scopus
2024
KOČENDOVÁ, A.; KUREŠ, M. Inverze matic nad nekomutativními okruhy pomocí Schurových doplňků. Kvaternion, 2024, roč. 2024, č. 1-2, s. 73-82. ISSN: 1805-1324.
2023
KUREŠ, M. A Proof of Pollock’s Conjecture on Centered Nonagonal Numbers. MATHEMATICAL INTELLIGENCER, 2023, iss. 2023, p. 1-2. ISSN: 0343-6993.
2022
MAYA, B.; KUREŠ, M. Some tridiagonal matrices and determinants of Schur-Cohn criterion for trinomials. University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics, 2022, vol. 84, iss. 4, p. 67-80. ISSN: 1223-7027.
ČERMÁK, J.; FEDORKOVÁ, L.; KUREŠ, M. Complete classification scheme for the distribution of trinomial zeros with respect to their moduli. PUBLICATIONES MATHEMATICAE DEBRECEN, 2022, vol. 101, iss. 1-2, p. 119-146. ISSN: 0033-3883.
KUREŠ, M. A Note on the Remarkable Expression of the Number 8/pi(2) That the Ramanujan Machine Discovered. MATHEMATICAL INTELLIGENCER, 2022, vol. 44, iss. 2, p. 150-152. ISSN: 0343-6993.
2021
KUREŠ, M. On coordinate expressions of jet groups and their representations. Geometry, Integrability and Quantization, 2021, vol. 22, iss. 1, p. 142-153. ISSN: 1314-3247.
Scopus Article
KUREŠ, M. On Münchhausen numbers. Notes on Number Theory and Discrete Mathematics, 2021, vol. 27, iss. 1, p. 14-21. ISSN: 1310-5132.
KUREŠ, M. Cube-root-subgroups of SL_2 over imaginary quadratic integers. Computer Science Journal of Moldova, 2021, vol. 29, iss. 2, p. 227-240. ISSN: 1561-4042.
2019
KUREŠ, M. Two definitions of connections on manifolds and operations on the differential forms in local coordinates. Asia Pacific Journal of Mathematics, 2019, vol. 6, iss. 11, p. 1-10. ISSN: 2357-2205.
KUREŠ, M. On elliptic curves with a closed component passing through a hexagon. Analele Universităţii "Ovidius" Constanţa. Seria Matematică, 2019, vol. 27, iss. 2, p. 67-82. ISSN: 1224-1784.
KUREŠ, M. A characterization of sliding vectors by dual numbers, some dual curves and the screw calculus. Procedia Structural Integrity, 2019, vol. 23, iss. 4, p. 396-401. ISSN: 2452-3216.
KUREŠ, M. Straddled numbers: numbers equal to the sum of powers of consecutive primes from the least prime factor to the largest prime factor. Notes on Number Theory and Discrete Mathematics, 2019, vol. 25, iss. 2, p. 8-15. ISSN: 1310-5132.
KUREŠ, M. Number theoretical views on resonant Rossby wave triads: graphs with vertices on quartics. Nonlinear Phenomena in Complex Systems, 2019, vol. 22, iss. 3, p. 285-291. ISSN: 1561-4085.
KUREŠ, M.; ŠÚTORA, J. On some connected groups of automorphisms of Weil algebras. Transylvanian Journal of Mathematics and Mechanics, 2019, vol. 11, iss. 1-2, p. 117-121. ISSN: 2067-239X.
2018
KUREŠ, M.; DECOME, T.; DRECOURT, G. LoRi-TTM cryptosystem. Annals of the University of Craiova-Mathematics and Computer Science Series, 2018, vol. 45, iss. 1, p. 137-150. ISSN: 1223-6934.
2017
Kureš, M, Šlapal, J. Professor Ladislav Skula is eighty. Mathematics for applications, 2017, vol. 6, iss. 1, p. 1-2. ISSN: 1805-3610.
KUREŠ, M. Higher order frames and material symmetries. Solid State Phenomena, 2017, vol. 258, iss. 1, p. 153-156. ISSN: 1662-9779.
2016
IVIČIČ, V.; KUREŠ, M. Two general examples of Weil algebras having the group of automorphisms connected. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2016, vol. 13, iss. 3, p. 1650035-1 (1650035-19 p.)ISSN: 0219-8878.
KUREŠ, M. Some Remarks to Higher Order Frames Occurring in Continuum Mechanics. In Continuous Media with Microstructure 2. Springer International Publishing, 2016. p. 45.ISBN: 978-3-319-28239-8.
Chapter in a book
HORNÍČEK, J.; KUREŠ, M.; MACÁLKOVÁ, L. Some properties of orders of quaternion algebras with regard to the discrete norm. Mathematica Bohemica, 2016, vol. 141, iss. 3, p. 285-405. ISSN: 0862-7959.
2015
KUREŠ, M. Subgroups of jet groups and material symmetries. In PCM-CMM-2015 Short Papers Vol. 2. Gdańsk: Polish Society of Theoretical and Applied Mechanics, 2015. p. 793-794. ISBN: 978-83-932107-6-3.
Paper in proceedings (conference paper)
KUREŠ, M. n-root near fractions. Asia Pacific Journal of Mathematics, 2015, vol. 2, iss. 2, p. 88-93. ISSN: 2357-2205.
KUREŠ, M. On fixed point subalgebras of some local algebras over a field. Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, 2015, vol. 77, iss. 1, p. 3-12. ISSN: 1024-7696.
KUREŠ, M. MMXV-numbers. The Mathematics Student, 2015, vol. 84, iss. 3-4, p. 123-125. ISSN: 0025-5742.
2014
KUREŠ, M. Algebraické a číselně teoretické pozadí eliptické kryptografie s vybranými algoritmy, zejména pro určení řádu eliptické křivky. Kvaternion, 2014, roč. 2014, č. 2, s. 63-78. ISSN: 1805-1324.
DOUPOVEC, M.; KUREŠ, M. Some geometric constructions on Frobenius Weil bundles. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2014, vol. 35, iss. S, p. 143-149. ISSN: 0926-2245.
KUREŠ, M. Weil algebras associated to functors of third order semiholonomic velocities. Mathematical Journal of Okayama University, 2014, vol. 56, iss. 1, p. 117-127. ISSN: 0030-1566.
KUREŠ, M. Jet theory in microstructures. Key Engineering Materials (print), 2014, vol. 592-593, iss. 1, p. 125-128. ISSN: 1013-9826.
KUREŠ, M. Variété des points proches: od definice Weilova bandlu až po nahlédnutí do syntetické diferenciální geometrie. In Sborník příspěvků 34. konference o geometrii a grafice. České Budějovice: Jihočeská univerzita v Českých Budějovicích, 2014. s. 147-152. ISBN: 978-80-7394-470-4.
KUREŠ, M. A note to geometry of Cosserat media and deformation bundles. Transylvanian Journal of Mathematics and Mechanics, 2014, vol. 6, iss. 1, p. 39-43. ISSN: 2067-239X.
2013
KUREŠ, M. On the S-operation in polynomial rings. JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2013, vol. 16, iss. 6, p. 329-336. ISSN: 0972-0529.
KUREŠ, M. Lagrangians on iterated tangent bundles and the Hamiltonization. Miskolc Mathematical Notes, 2013, vol. 14, iss. 2, p. 525-538. ISSN: 1787-2405.
KUREŠ, M. Dwindlable R-algebras. Mathematics for applications, 2013, vol. 2, iss. 2, p. 125-133. ISSN: 1805-3610.
2012
KUREŠ, M. Finite dimensional factor algebras of F2[X1,...,Xn] and their fixed point subalgebras. Open Journal of Applied Sciences, 2012, vol. 2, iss. Suppl., p. 212-214. ISSN: 2165-3917.
KUREŠ, M. Weilovo párování na eliptických křivkách v kryptosystémech založených na totožnosti a kryptograficky randomizované odpovídací techniky. Kvaternion, 2012, roč. 2012, č. 2, s. 103-111. ISSN: 1805-1324.
2011
KUREŠ, M. Automorphisms of polynomial and local algebras over binary fields. In International Conference Applied Natural Sciences 2011 Proceedings. University of SS. Cyril and Methodius in Trnava, 2011. p. 128-130. ISBN: 978-80-8105-266-8.
KUREŠ, M.; SKULA, L. Reduction of matrices over orders of imaginary quadratic field. LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, vol. 435, iss. 6, p. 1903-1919. ISSN: 0024-3795.
KUREŠ, M. On some directions in the development of jet calculus. Banach Center Publications, 2011, vol. 93, iss. 1, p. 251-260. ISSN: 0137-6934.
KUREŠ, M. Looking at osculating bundles through the semiholonomity equalizations. Advances and Applications in Mathematical Sciences, 2011, vol. 10, iss. 7, p. 1-8. ISSN: 0974-6803.
KUREŠ, M. Fixed point subalgebras of Weil algebras: from geometric to algebraic questions. In Complex and Differential Geometry. Springer Proceedings in Mathematics. Berlin Heidelberg: Springer, 2011. p. 183-192. ISBN: 978-3-642-20299-5.
2010
HRDINA, J.; KUREŠ, M.; VAŠÍK, P. A note on tame polynomial automorphisms and the security of TTM cryptosystem. Applied and Computational Mathematics, 2010, vol. 9, iss. 2, p. 226-233. ISSN: 1683-3511.
DOBEŠ, J.; KUREŠ, M. Search for Wieferich primes through the use of periodic binary strings. Serdica Journal of Computing, 2010, vol. 4, iss. 3, p. 293-300. ISSN: 1312-6555.
KUREŠ, M. The composition of polynomials by the substitution principle. JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2010, vol. 13, iss. 6, p. 543-552. ISSN: 0972-0529.
KUREŠ, M. From optimal control problems to foliations, some kinds of multifoliations and relations to generalised jets. Journal of Quality Measurement and Analysis, 2010, vol. 6, iss. 2, p. 19-32. ISSN: 1823-5670.
2008
KUREŠ, M.; SKULA, L. Smith normal form of a matrix of generalized polynomials with rational exponents. Annales Universitatis Mariae Curie Sklodowska, 2008, vol. 62, iss. 1, p. 81-90. ISSN: 0365-1029.
KUREŠ, M. Kryptografické algoritmy v roli projektového učení a motivace pro matematicky nadané studenty. In Práce s talentovanou mládeží - Sborník příspěvků z mezinárodní konference (Editor: Jitka Šeneklová). Jihomoravské centrum pro mezinárodní mobilitu, Brno, 2008. s. 69-74. ISBN: 978-80-254-3376-8.
2007
KUREŠ, M. A note to the unipotency of the identity component of the group of algebra automorphisms. Analele Universităţii "Ovidius" Constanţa. Seria Matematică, 2007, vol. 2007 (15), iss. 1, p. 105-110. ISSN: 1224-1784.
KUREŠ, M. On the connectedness of jet groups and groups of automorphisms of Weil algebras. Journal of Applied Mathematics Statistics and Informatics, 2007, vol. 3, iss. 2, p. 209-214. ISSN: 1336-9180.
KUREŠ, M. On the computation of Smith normal form of a matrix of generalized polynomials with rational exponents. In APLIMAT 2007. Bratislava: Slovak University of Technology, 2007. p. 103-108.
KUREŠ, M.; SEHNAL, D. The order of algebras with nontrivial fixed point subalgebras. Lobachevskii Journal of Mathematics, 2007, vol. 25, iss. 1, p. 187-196. ISSN: 1818-9962.
2006
KUREŠ, M. Weil modules and gauge bundles. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2006, vol. 22, iss. 1, p. 271-278. ISSN: 1439-8516.
KUREŠ, M. Local approach to higher order contact elements. REPORTS ON MATHEMATICAL PHYSICS, 2006, vol. 58, iss. 2, p. 393-409. ISSN: 0034-4877.
2005
KUREŠ, M. On the symmetrisation of nonholonomic jets. Mathematical Proceedings of Royal Irish Academy, 2005, vol. 105, iss. A, p. 1-14. ISSN: 0035-8975.
2004
KUREŠ, M. Normální křivka jako imperativní fenomén. Normální křivka jako imperativní fenomén. Brno: Akademické nakladatelství CERM, 2004. ISBN: 80-7204-376-5.
Book unreviewed
KUREŠ, M., MIKULSKI, W. Natural operators lifting vector fields to bundles of Weil contact elements. 2004, vol. 54 (129), iss. 6, p. 1-12.
2003
KUREŠ, M. Některé souvislosti variačního počtu a diferenciální geometrie z hlediska aplikací. Habilitační a inaugurační spisy 108. Brno: 2003. 38 s. ISBN: 80-214-2313-7.
Dissertation
KUREŠ, M., MIKULSKI, W. Liftings of linear vector fields to product preserving bundle functors on vector bundles. 2003, vol. 12, iss. 1, p. 1-11.
2002
KUREŠ, M., MIKULSKI, W. Natural operators lifting 1-forms to bundles of Weil contact elements. 2002, vol. 49, iss. 1, p. 1-18.
2001
KUREŠ, M. Generalizations of jets and reflections in the theory of connections. 2001, vol. 59, iss. 3-4, p. 1-14.
KUREŠ, M. Matematické problémy pro teenagery - inteligentní zábava, tvůrčí práce, výzkum. In Aktivní formy podpory rozvoje nadání s důrazem na rozvoj samostatných tvůrčích aktivit. Praha: Nadační fond Jaroslava Heyrovského, 2001. s. 1-4.
KUREŠ, M. Connections and torsions on TT*M. Annales Universitatis Mariae Curie Sklodowska, 2001, vol. LV, iss. 9, p. 1-12. ISSN: 0365-1029.
KUREŠ, M. Weil algebras of generalized higher order velocities bundles. In Global Differential Geometry: The Mathematical Legacy of Alfred Gray. Contemporary Mathematics 288. American Mathematical Society: American Mathematical Society, 2001. p. 1-5. ISBN: 0-8218-2750-2.
2000
KUREŠ, M. On the simplicial structure of some Weil bundles. 2000, vol. 2000, iss. 63, p. 1-10.
1999
KUREŠ, M. Affinors and connections in higher order geometry. In Differential Geometry and Applications. Brno: Ed.: I. Kolář,..., 1999. p. 1-7. ISBN: 80-210-2097-0.
1998
KUREŠ, M. Some properties of connections on iterated tangent bundles. ARCHIVES OF MECHANICS, 1998, vol. 50, iss. 3, p. 1-7. ISSN: 0373-2029.
KUREŠ, M. Torsions of connections on tangent bundles of higher order. 1998, vol. 54, iss. II, p. 1-9.
1996
KUREŠ, M. Natural lifts of clastical linear connections to the cotangent bundle. 1996, vol. 96, iss. 43, p. 181
1995
KUREŠ, M. Connections on cotangent bundles. Connections on Cotangent Bundles. PhD Thesis. Brno: KAG PřF MU Brno, 1995. 40 p. ISBN: 0000-0000.
1899
KUREŠ, M. In Differential geometry and Applications - Satellite Conferenc. Brno, ČR: MU Brno, 1899. p. 1-8. ISBN: 80-210-209.
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