Interes de cercetare predare

Calculus of variations and elliptic PDEs; Riemann-Finsler and Sub-Riemannian geometry; Geometric and Functional inequalities; Optimization on Riemannian manifolds.

Publicatii (top 5)

Kristály A Mondino A Principal frequency of clamped plates on RCD(0N) spaces: sharpness rigidity and stability PROC. LOND. MATH. SOC. (3) 131 (2025) no. 2 Paper No. e70079 Kristály A Sharp Sobolev inequalities on noncompact Riemannian manifolds with ??-?𝗂??-?≥0 via Optimal Transport theory CALCULUS OF VARIATIONS AND PDE (2024) 63:200 Balogh Z Kristály A Sharp isoperimetric and Sobolev inequalities in spaces with nonnegative Ricci curvature MATH ANNALEN 385 (2023) no. 3-4 1747–1773. Kristály A Lord Rayleigh’s Conjecture for Vibrating Clamped Plates in Positively Curved Spaces GEOM FUNCT ANAL (GAFA) 32 (2022) 881–937. Kristály A Fundamental tones of clamped plates in nonpositively curved spaces ADV. MATH. 367 (2020) 107113 p. 39.

Activitate profesionala

Activitate didactica

Activitate de cercetare

Data nasterii:	00-00---00
Nationalitate:	Maghiara
Experienta Profesionala:	1.) 01.04.2013 - prezent Universitatea Babeş-Bolyai Cluj-Napoca Facultatea de Stiinte Economice si Gestiunea Afacerilor Profesor universitar. 2.) 01.10. 2007 - 31.03.2013 Universitatea Babeş-Bolyai Cluj-Napoca Facultatea de Stiinte Economice si Gestiunea Afacerilor Conferentiar universitar. 3.) 01.10. 2004 - 30.09.2007 Universitatea Babeş-Bolyai Cluj-Napoca Facultatea de Stiinte Economice si Gestiunea Afacerilor Lector universitar. 4.) 01.10. 2003 - 30.09. 2004 Universitatea Babeş-Bolyai Cluj-Napoca Facultatea de Business Asistent universitar. 5.) 01.10. 2000 - 30.09. 2003 Universitatea Babeş-Bolyai Cluj-Napoca Facultatea de Matematica si Informatica Asistent universitar. 6.) 01.10. 1998 - 30.09. 2000 Universitatea Babeş-Bolyai Cluj-Napoca Facultatea de Matematica si Informatica Preparator universitar.
Educatie Formare:	1.) 09.2000-02.2005 Universitatea din Debrecen Debrecen Scoala Doctorala (Ph.D.) 2.) 10. 1998-03. 2003 Universitatea Babe?-Bolyai Cluj-Napoca Scoala doctorala (Diploma de doctor in matematica). 3.) 10. 1997-06. 1998 Universitatea Babe?-Bolyai Cluj-Napoca Studii aprofundate (Diploma de studii aprofundate). 4.) 10. 1993-06. 1997 Universitatea Babe?-Bolyai Cluj-Napoca Licen?iat in Matematic? (Diploma de licenta).
Limba materna:	Maghiara
Limbi Straine:	- Engleza: a. Examen TOEFL-Computer based Test punctaj: 237; b. Pitman Qualification Certificate Intermediate level "English for Speakers of Other Languages" (ESOL); - Franceza: nivel de baza.
Aptitudini organizatorice:	0.) Proiect CNCS-UEFISCDI project no. PN-III-ID-PCE-2020-1001 Director de proiect. Titlul proiectului: Valori proprii pe spatii curbate (2021-2023). 1.) Proiect CNCS-UEFISCDI project no. PN-II-ID-PCE-2011-3-0241 Director de proiect. Titlul proiectului: Simetrii in probleme eliptice: tehnici euclidiene si ne-euclidiene (2011-2016). A se vedea site-ul: https://sites.google.com/site/idei0241/ 2.) Grant pentru Sustinerea Cercetarii de Excelenta GSCE-30218-2015 Director de proiect. Titlul proiectului: Probleme eliptice singulare (2015). 3.) Proiect CNCSIS Tip PN II IDEI (Cod: 527) Director de proiect (2007-2010). A se vedea site-ul: http://idei.527.googlepages.com 4.) Proiect CNCSIS Tip AT 8/70 Director de proiect 05.2006-10.2007. A se vedea site-ul: http://194.102.64.7/GranturiFinalizate/faces/Projects/ProjectsList.jsp
Aptitudini calculator:	LaTex Maple.
Alte competente:	- Burse postdoctorale (castigate prin competitie): 1.) Central European University Special and Extension Programs Budapesta Ungaria 3 luni (1 noiembrie 2005 - 31 ianuarie 2006). 2.) Bursa "Domus Hungarica" Academia Maghiara Institutul de Matematica Universitatea din Debrecen Debrecen Ungaria 3 luni (1 - 31 martie 2005; 1-30 iunie 2005; 1-30 septembrie 2006). 3.) Bursa Bolyai Academia Maghiara 2009-2012 2013-2016 (in derulare). - Alte burse (lista selectiva): 1.) Centro di Ricerca Matematica Ennio De Giorgi Scuola Normale Superiore Pisa "Two weeks on Global Analysis" 13 - 23 februarie 2005 2.) Financial Mathematics Non-Smooth Analysis and Game Theory Bankya Bulgaria 28 ianuarie - 8 februarie 2002 finantata de programul DAAD "Akademischer Neuaufbau Sudosteuropa" 3.) CEEPUS: mai multe luni (Szeged DebrecenPecs).
Permis Conducere:	B
Informatii suplimentare:	Invitatii (lista selectiva): 1.) Senior Research Fellow City University of Hong Kong Hong Kong 2014 (4 saptamani) 2015 (4 saptamani). 2.) Universitat Bern Bern Elvetia 2010 (2 saptamani) 2011 2012 (6 saptamani) 2013 (4 saptamani) 2014 (2 saptamani) 2015 (3 saptamani) 2017 (1 luna) 2019 (1 luna). 3.) Institut des Hautes Etudes Scientifiques (IHES) Bures-sur-Yvette France 2011 (1 luna) 2013 (1 luna). 4.) Professori visitatori INDAM (Istituto Nazionale di Alta Matematica) Universita di Catania Catania Italia 2005 (8 saptamani) 2009 (2 saptamani) 2011 (2 saptamani). 5.) Young researcher (Cercetator) "Geometrical Analysis" EU Research Training Network PRN-CT-1999-00118/2000-2004 finantata de Uniunea Europeana Academia Poloneza Institutul de Matematica Varsovia Polonia 01.06.2003 - 31.08.2003; si 18.01.2004 - 18.02. 2004. Men?iuni (premiidistinctii etc): 8.) Premiul „Arany János” pentru Performan?e ?tiin?ifice Excep?ionale Budapesta Academia Maghiar? de ?tiin?e 2021 mai. 7.) Premiul "Ad Astra" Domeniul Matematica si Informatica Bucuresti 2020 decembrie. 6.) Premiul "Spiru Haret" al Academiei Romane Bucuresti 2014 decembrie. 5.) Premiul "Bolyai Plakett" al Academiei Maghiare de ?tiin?e Budapesta 2013 iunie. 4.) Best Dissertation Award Central European University Budapesta 2010. 3.) Diploma pentru excelenta stiintifica Universitatea Babe?-Bolyai Nr. 20.418/21.12.2007. 2.) Premiul Cercetarii Stiintifice Universitatea Babe?-Bolyai Nr. 21.121/14.12.2009. 1.) Premiul Cercetarii Stiintifice Universitatea Babe?-Bolyai Nr. 20.373/19.12.2011. Conferinte: 80 conferinte internationale 4 conferinte nationale. Cele mai importante prezentari: 16.) 30th European conference on operational research Dublin Ireland 23 – 26 June 2019. Titlul lectiei: Equality in Riemannian geometric inequalities via optimal mass transportation. 15.) Workshop “Geometry and Probability” Fukuoka Japan 29 January-2 February 2019. Invited speaker. Titlul lectiei: Geometric interpolation inequalities on Heisenberg/Carnot groups. 14.) International Conference in Nonlinear Analysis and Boundary Value Problems 2018 University of Santiago de Compostela Santiago de Compostela Spain 4-7 September 2018. Session organizer. Titlul lectiei: Nodal solutions for the fractional Yamabe problem on Heisenberg groups. 13.) XIV-ème colloque franco-roumain de mathématiques appliquées Université de Bordeaux Bordeaux France 27-31 August 2018. Plenary speaker. Titlul lectiei: Geometric inequalities: Riemannian vs. sub-Riemannian. 12.) 23rd Rolf Nevanlinna Colloquium Zurich Switzerland 12-16 June 2017. Session speaker. Titlul lectiei: Intrinsic Jacobian determinant inequalities on corank 1 Carnot groups. 11.) The 2016 International Conference Applied Mathematics Computational Science and Systems Engineering Rome Italy 5-7 November 2016. Plenary speaker. Titlul lectiei: Anisotropic Versus Isotropic Phenomena in Elliptic Problems: A Geometric Approach. 10.) Workshop in Avances in Game Theory Reggio Calabria Italia. 7 mai 2015. Invited speaker. Titlul lectiei: Geometric aspects of Nash equilibria: the influence of curvature. 9.) MAnET Workshop in sub-Riemannian geometry PDE and Applications Berna Elvetia. 26-30 ianuarie 2015. Invited speaker. Titlul lectiei: Functional inequalities in metric measure spaces with applications. 8.) The 10th AIMS Conference on Dynamical Systems Differential Equations and Applications Madrid Spania. 7-11 iulie 2014. Invited speaker. Titlul lectiei: A variational approach to Nash equilibria on Riemannian manifolds. 7.) ALEL2014-International Conference on Optimization Seville Spania 5-7 iunie 2014. Invited speaker. Titlul lectiei: Nash-type equilibria on Riemannian manifolds: the effect of curvature. 6.) ICMC - Summer Meeting on Differential Equations (2014 Chapter) Sao Paulo Brazilia. 3-7 februarie 2014. Titlul lectiei: Caffarelli-Kohn-Nirenberg inequalities on metric measure spaces: symmetrization and rigidity. 5.) Université Paris-Sud Orsay Paris Franta 30 mai 2013. Titlul lectiei: Caffarelli-Kohn-Nirenberg inequalities on metric measure spaces: symmetrization and rigidity. 4.) University of Kyoto Kyoto Japonia. 9 octombrie 2012. Titlul lectiei: Caffarelli-Kohn-Nirenberg inequalities on Finsler manifolds. 3.) Spring School in Nonlinear Partial Differential Equations 26-30 mai 2008 Louvain-la-Neuve Belgia. Titlul lectiei: Detection of arbitrarily many solutions for perturbed elliptic problems involving oscillatory terms 2.) The 5th ISAAC Congress July 25-30 2005 University of Cantania Italy ("invited main speaker"). Titlul lectiei: Elliptic eigenvalue problems on unbounded domains involving sublinear terms. 1.) The 22th IFIP TC 7 Conference on System Modelling and Optimization July 18-22 2005 Politecnico di Torino Italy. Titlul lectiei: Infinitely many solutions for a differential inclusion problem in R^N. Organizator al ?colii de var? "Critical point theory and its applications" care a avut loc in perioada de 9-13 iulie 2006 Cluj-Napoca Facultatea de Matematic? ?i Informatic? in cadrul proiectului CEEX-M3-C3 -12441. Expert evaluator CNCS (PN II IDEI; RP; TE) in 2008 2009 si 2015. Membru CNCS (2011-2013). Membru CNCS Comisia de specialitate matematica (2020-prezent). Editorial Board: 1) Applied Mathematics Letters Elsevier (din 2024). 2) Journal of Inequalities and Applications Springer (din 2023). 3) Journal of Optimization Theory and Applications Springer (din 2017). 4) Studia Universitatis Babes-Bolyai Mathematica (din 2010). 5) Analele Universitatii din Timisoara Seria Matematica (din 2012). Membru al societ??ilor ?tiin?ifice: - American Mathematical Society (AMS); - Membru al corpora?iei publice al Academiei Maghiare. Colaborari stiintifice internationale: - Universitatea Oxford (prof. A. Mondino); - Universitat Bern Bern Elvetia (prof. Z. Balogh); - Federal University of Minas Gerais Belo Horizonte Brazilia (prof. E. Barbosa); - City University of Hong Kong Hong Kong (prof. Ph. Ciarlet); - Temple University Philadelphia USA (prof. C.E. Gutierrez); - National Technical University Atena Grecia (prof. N. S. Papageorgiou); - Universita di Catania Catania Italia (prof. B. Ricceri F. Faraci); - University of Perpignan Perpignan Franta (prof. D. Motreanu); - Central European University Budapesta Ungaria (prof. Gh. Morosanu); - Adam Mickiewicz University Poznan Polonia (prof. W. Marzantowicz); - Kyoto University Kyoto Japan (prof. S. Ohta); - Universitat Bern Bern Elvetia (prof. K. Sipos); - University of Rousse Rousse Bulgaria (prof. S. Tersian); - University of Debrecen Debrecen Ungaria (prof. L. Kozma). Referent la reviste cotate ISI: - Journal of Differential Geometry; - Transactions of the American Mathematical Society; - Journal of the European Mathematical Society; - Journal of Functional Analysis; - Journal of Differential Equations; - Journal of Mathematical Analysis and Applications; - Journal of Global Optimization; - Journal of Optimization Theory and Applications; - Nonlinear Analysis Theory Methods and Applications; - Proceedings of the Edinburgh Mathematical Society; - Proceedings of the American Mathematical Society; - Glasgow Mathematical Journal; - Acta Mathematica Hungarica; - Applicable Analysis; - Applied Mathematics Letters; - Taiwanese Journal of Mathematics; - Optimization Letter etc. Monografii: N. Costea A. Kristály C. Varga Variational and Monotonicity Methods in Nonsmooth Analysis Frontiers in Mathematics Birkhäuser/Springer 2021. ISBN 978-3-030-81670-4 A. Kristaly V. Radulescu Cs. Varga: Variational Principles in Mathematical Physics Geometry and Economics Cambridge University Press Cambridge UK 2010. ISBN-10: 0521117828 http://www.cambridge.org/series/sSeries.asp?code=EOM&srt=P Coordonare teze de doctorat: 1. Szilárd Nagy Babe?-Bolyai University Cluj-Napoca Romania. title of the thesis: Variational Approach to Stackelberg Equilibria (Defended on 11 September 2015). 2. Csaba Farkas Óbuda University Budapest Hungary. title of the thesis: Sobolev-type inequalities on Riemannian manifolds with applications (Defended on 17 April 2018). 3. Orsolya Vas Babe?-Bolyai University Cluj-Napoca Romania. title of the thesis: Variational and topological methods in the study of elliptic inclusions and equations (taken from Cs. Varga after his death August 2021) 4. Ágnes Mester Doctoral School of Applied Informatics and Applied Mathematics Óbuda University Budapest Hungary. title of the thesis: Functional Inequalities on Riemann-Finsler Manifold (Defended on 7 March 2023) 5. Sándor Kajántó Babe?-Bolyai University Cluj-Napoca Romania. title of the thesis: New approach for Hardy-Rellich inequalities (Defended on 25 June 2024). 6. Károly Szilák Óbuda University Budapest Hungary. title of the thesis: Non-smooth elliptic problems on smooth manifolds (Defended on 22 July 2025) Membru in comisii de doctorat: - National: N1: Universitatea din Craiova (2009). Titlul tezei: Topological methods in the study of boundary value problems. Doctorand: M.-M. Boureanu. N2: UBB (2009). Titlul tezei: Contributii la conceperea proiectarea si implementarea unor sisteme de asistare a deciziilor utilizand algoritmi genetici. Doctorand: L. Illes. - International: I1: Universitatea din Debrecen Debrecen Ungaria (2009). Titlul tezei: Ehresmann-manifolds sprays and transformations of D-manifolds. Doctorand: Johanna Pek. I2: Central European University Budapesta Ungaria (2010). Titlul tezei: Eigenvalue problems for some elliptic partial differential operators. Doctorand: M. Mihailescu. I3: Central European University Budapesta Ungaria (2011). Titlul tezei: Iterative processes for solving nonlinear operator equations. Doctorand: Oganeditse Aaron Boikanyo. I4: Central European University Budapesta Ungaria (2015). Titlul tezei: Existence results for some differential inclusions and related problems. Doctorand: Nicusor Costea. I5: Universitat Bern Bern Elvetia (2018). Titlul tezei: Geometric inequalities on Heisenberg and Carnot groups. Doctorand: K. Sipos. I6: University of Jyvaskyla Jyvaskyla Finlanda (2018). Titlul tezei: Regularity of quasilinear sub-elliptic equations in the Heisenberg group. Doctorand: Shirsho Mukherjee. I7: University of Debrecen Debrecen Hungary (2021). Titlul tezei: Conditional equations for monomial functions. Doctorand: E. Garda-Matyas. Lucrari stiintifice (publicate sau acceptate spre publicare): - in reviste ISI: 90. - in reviste BDI: 15. Lucrarile publicate sau acceptate spre publicare sunt citate de specialistii in domeniu in diferite reviste (cel putin 1500 de citari independente din care minim 1400 in reviste cotate ISI si 30 citari independente in monografii la Cambridge University Press Elsevier si Springer). Indexul Hirsch (Web of Science): 18.
Ultima actualizare: 2026-02-16