CURRICULUM VITAE
PERSONAL DETAILS:

Name: Gergely Pataki
Born: 1975, Debrecen, Hungary
Place of work:

Budapest University of Technology and Economics, Institute of Mathematics
H-1111 Egry József u. 1 (Building H), Budapest, Hungary.
Mailing address: H-1521 Budapest, Pf. 91, Hungary.
Phone: +36 1 463 2475
E-mail: pataki@math.bme.hu
URL: www.math.bme.hu/~pataki

EDUCATION:

University Diploma (M.Sc.) in Mathematics: 1998, Kossuth Lajos University, Debrecen.
Master Thesis Title: A relátorok jólláncoltsága (Well-chainedness of relators), (in hungarian).
Supervisor: Árpád Száz.

SCIENTIFIC DEGREE:

Ph.D. in Mathematics and Computer Sciences: 2005, University of Debrecen.
Ph.D. Thesis Title: Well-chained, connected and simple relators.
Supervisor: Árpád Száz.

JOBS:

University of Debrecen (UD), Faculty of Natural Sciences, Institute of Mathematics, Department of Analysis:
1998-2001: Computer assistant
2001-2004: PhD student in platform Mathematical Analysis, functional equations and inequalities
Szent István University (SZIU), Gödöllő, Faculty of Mechanical Engineering, Institute of Mathematics and Informatics, Department of Mathematics:
2004-2005: Department engineer
2005-2006: Assistant professor
2006-2022 : Senior lecturer
Budapest University of Technology and Economics (BUTE), Faculty of Natural Sciences, Institute of Mathematics, Department for Analysis:
2006-: Senior lecturer

LANGUAGES:

Hungarian (mother tongue)
English
German

PAPERS:Mathematical Reviews, Zentralblatt MATH Database

Two illustrating examples for comparison of uniform and proximal spaces using relators, Annales Mathematicae et Informaticae, 55 (2022), 137--157. , , Google Scholar, Ismert hivatkozások száma: 0.
Investigation of topological spaces using relators, Applied General Topology, 23(1) (2022), 45--54. , , Google Scholar, Ismert hivatkozások száma: 1.
Investigation of proximal spaces using relators, Axioms, 10(3) (2021), 1--10. , , Google Scholar, Ismert hivatkozások száma: 2.
On the right-continuity of infimal convolutions, Ann. Math. Inform., 45 (2015), 69--77. MR3438814, Zbl ????.?????, Google Scholar, Ismert hivatkozások száma: 0.
On a generalized infimal convolution of set functions, Ann. Math. Sil., 27 (2013), 99--106. MR3157122, Zbl 1321.03060, Google Scholar, Ismert hivatkozások száma: 5.
Well-chained, connected and simple relators, Ph.D. Thesis, University of Debrecen, (2004), 1--120.
On the convergence of some particular series, Tatra Mt. Math. Publ., 28 (2004), 169--177. MR2086989, Zbl 1112.40003, Google Scholar, Ismert hivatkozások száma: 1.
On the convergence of the series , Buletinul Stiintific, 18 (2002), Nr. 1, 65--68. MR2014284, Zbl 1030.40002, Google Scholar, Ismert hivatkozások száma: 1.
On the convergence of some particular series, Abstract of the 17TH Summer Conference on Real Functions Theory, Stará Lesná 2002, 56.
On the convergence of the series , Publikacije Elektrotechnickog Fakulteta 12 (2001), 61--63. MR1920359, Zbl 1051.40003, Google Scholar, Ismert hivatkozások száma: 0.
A unified treatment of well-chainedness and connectedness properties, Acta Math. Acad. Paedagog. Nyházi. (N.S.) 19 (2003), (elektronikus), 101--165 (with Árpád Száz). MR2037991, Zbl 1049.54023, Google Scholar, Ismert hivatkozások száma: 41.
On the extensions, refinements and modifications of relators, Mathematica Balkanica 15 (2001), no. 1-2, 155--186. MR1882531, Zbl 1042.08001, Google Scholar, Ismert hivatkozások száma: 40.
On the infinitesimal refinements of relators, Abstract of the Third Joint Conference on Mathematics and Computer Science, Visegrád 1999, 61.
Supplementary notes to the theory of simple relators, Radovi Matematički 9 (1999), no. 1, 101--118. MR1763711, Zbl 0943.54017, Google Scholar, Ismert hivatkozások száma: 26.
Well-chained relators revisited, Tech. Rep., Inst. Math. Inf., Univ. Debrecen, 98/15, 1--12 (with Árpád Száz).
Characterizations of nonexpansive multipliers on partially ordered sets, Mathematica Slovaca 51 (2001), no.4, 371--382 (with Árpád Száz). MR1864106, Zbl 0991.06001, Google Scholar, Ismert hivatkozások száma: 8.
A relátorok jólláncoltsága (Well-chainedness of relators), (in hungarian), Master Thesis, Kossuth Lajos University, Debrecen (1998), 1--39.

TALKS:

Az infimális konvolúcióról (On the infimal convolution), (in hungarian) Analysis Seminar, BUTE, 2016
Uniform, topologikus és relátor terek (Uniform, topological and relator spaces), (in hungarian) Analysis Seminar, BUTE, 2014
A relátor terekről (On the relator spaces), (in hungarian) Analysis Seminar, BUTE, 2013
Well-chained, connected and simple relators, (in hungarian) Ph.D. Defence, University of Debrecen, 2005.
A relátorok jólláncoltságairól (On the well-chainednesses of relators), (in hungarian) 10^th Síkfőkút Analysis Seminar, Síkfőkút 2004.
On the convergence of some particular series, 17^th Summer Conference on Real Functions Theory, Stará Lesná 2002.
A konvergenciájáról (On the convergence of ), (in hungarian) 8^th Síkfőkút Analysis Seminar, Síkfőkút 2001.
On the infinitesimal refinements of relators, Third Joint Conference of Mathematics and Computer Science, Visegrád 1999.
A relátorok infinitezimális kifinomításáról (On the infinitesimal refinements of relators), (in hungarian) 7^th Síkfőkút Analysis Seminar, Síkfőkút 1999.
Az egyszerűség fontosabb, mint a jólláncoltság (Simplicity is more important then well-chainedness), (in hungarian) 2^nd Analysis Miniseminar, Kossuth Lajos University, Debrecen, 1999.