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Eszter Sikolya

adjunct professor

ELTE TTK Institute of Mathematics
Department of Applied Analysis and Computational Mathematics
H-1117 Budapest, Pázmány Péter sétány 1/C

Postal Address:
ELTE TTK, Department of Applied Analysis and Computational Mathematics
H-1518 Budapest, Pf. 120  

E-mail: eszter[dot]sikolya[at]ttk[dot]elte[dot]hu

Teaching

Publications

CV

Old webpage (Hungarian)

Publications

Magyar Tudományos Művek Tára (MTMT)

MathSciNet

M. Kovács and E. Sikolya, Stochastic reaction–diffusion equations on networks, JOURNAL OF EVOLUTION EQUATIONS (2021), pp. 1424--3199 (online first) arXiv

M. Kovács and E. Sikolya, Corrigendum to "On the stochastic Allen–Cahn equation on networks with multiplicative noise", ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS 2021, 52, 1--4. arXiv

M. Kovács and E. Sikolya, On the stochastic Allen–Cahn equation on networks with multiplicative noise,
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 7 (2021), pp. 1--24. arXiv

P. Csomós and E. Sikolya, Numerical analysis view on the general Trotter-Kato product formulae, ACTA SCIENTIARUM MATHEMATICARUM - SZEGED, 87 (2021), pp. 307--329. pdf

B. Andreianov, M. Kramar Fijavž, A. Peperko, and E. Sikolya, Semigroups of max-plus linear operators, SEMIGROUP FORUM, 94 (2017), pp. 477--479. arXiv

M. Kramar Fijavž, A. Peperko, and E. Sikolya, Semigroups of max-plus linear operators, SEMIGROUP FORUM, 94 (2017), pp. 463--476. arXiv

A. Bátkai, I. Z. Kiss, E. Sikolya, and P. L. Simon, Differential equation approximations of stochastic network processes: An operator semigroup approach, NETWORKS AND HETEROGENEOUS MEDIA, 7 (2012), pp. 43--58. arXiv

A. Bátkai and E. Sikolya, The norm convergence of a Magnus expansion method, CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 10 (2012), pp. 150--158. arXiv

K.-J. Engel, M. Kramar Fijavž, B. Klöss, R. Nagel, and E. Sikolya, Maximal controllability for boundary control problems, APPLIED MATHEMATICS AND OPTIMIZATION, 62 (2010), pp. 205--227. pdf

B. Dorn, V. Keicher, and E. Sikolya, Asymptotic periodicity of recurrent flows in infinite networks, MATHEMATISCHE ZEITSCHRIFT, 263 (2009), pp. 69--87. pdf

K.-J. Engel, M. Kramar Fijavž, R. Nagel, and E. Sikolya, Vertex control of flows in networks, NETWORKS AND HETEROGENEOUS MEDIA, 3 (2008), pp. 709--722. pdf

M. Kramar Fijavž, D. Mugnolo, and E. Sikolya, Variational and semigroup methods for waves and diffusion in networks, APPLIED MATHEMATICS AND OPTIMIZATION, 55 (2007), pp. 219--240. arXiv

T. Mátrai and E. Sikolya, Asymptotic behavior of flows in networks, FORUM MATHEMATICUM, 19 (2007), pp. 429--461. pdf

E. Sikolya, A functional analytic method for the analysis of general partial differential equations, PROBLEMY PROGRAMMIROVANIYA / PROBLEMS OF PROGRAMMING, 2-3 (2006), pp. 669--673.

E. Sikolya, Operator semigroups and applications, IDŐJÁRÁS / QUARTERLY JOURNAL OF THE HUNGARIAN METEOROLOGICAL SERVICE, 110 (2006), pp. 417--425. pdf

E. Sikolya, Flows in networks with dynamic ramification nodes, JOURNAL OF EVOLUTION EQUATIONS, 5 (2005), pp. 441--463. pdf

M. Kramar and E. Sikolya, Spectral properties and asymptotic periodicity of flows in networks, MATHEMATISCHE ZEITSCHRIFT, 249 (2005), pp. 139--162. pdf

E. Sikolya, Simultaneous observability of networks of strings and beams, BOLETIM DA SOCIEDADE PARANAENSE DE MATEMATICA, 21 (2003), pp. 1--11. pdf

E. Sikolya and Z. Sebestyén, On Krein-von Neumann and Friedrichs extensions, ACTA SCIENTIARUM MATHEMATICARUM - SZEGED, 69 (2003), pp. 323--336. pdf

Curriculum Vitae

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Personal
Born: January 19, 1976 Budapest, Hungary
Nationality: Hungarian
Marital status: married, 3 children

Current position
2020-- host researcher, Alfréd Rényi Institute of Mathematics
2007– adjunct professor, Institute of Mathematics, ELTE
2011–2019 on maternity leave

Education
2004 PhD in Mathematics, University of Tübingen
2000 MSc in Mathematics with honours, ELTE Budapest
1998 BSc of Economic Science in General economics and management with excellence, Budapest University
of Economic Sciences

Languages
German (fluent), English (conversational), Italian (Beginner)

Honours & awards
2008 Farkas Gyula Award of the János BolyaiMathematical Society
2004 "Promotionspreis" (Award for the best PhD thesis of the faculty) University of Tübingen, Faculty
forMathematics and Physics
2000 award "Prominent Student of the Faculty" ELTE, Faculty of Science

Grants
2010–2020 Bolyai Grant of the Hungarian Academy of Sciences (paused 2011–2019)
2006–2007 Magyary Zoltán Postdoctoral Fellowship, ELTE Budapest
2003–2004 Baden-Württemberg Scholarship, University of Tübingen
2002–2003 EU Marie-Curie Fellowship, University of Tübingen
2001 Erasmus Scholarship, Université Louis Pasteur, Strasbourg

Conference talks and international seminars
2019 Women of mathematics on the Mediterranean shores, Bled (Slovenia)
2013–2014 17th Internet Seminar on Evolution Equations, project coordinator
2008 Encounters between Discrete and Continuous Mathematics, Blaubeuren (Germany)
2007 I. German-Hungarian Workshop on Evolution Equations, Dobogókő, (Hungary) – main organizer
2006 Evolution on Networks, Blaubeuren (Germany)
2004 Deutsche Mathematiker-Vereinigung-Tagung, Heidelberg (Germany)
2004 "Fourth European-Maghreb Workshop on Semigroup Theory, Evolution Equations and Applications",
Freudenstadt (Germany)
2003 "Interplay betweenC0-semigroups and PDEs: theory and applications" International Minicourse-
Workshop, Bari (Italy)
2003 "Third European-Maghreb Workshop on Semigroup Theory, Evolution Equations and Applications",
Marrakesh (Morocco)
2001–2004 Tübingen-Ulm-Karlsruhe Internet Seminars, project coordinator

Hungarian and international project participations
2019– COST Action CA18232 ”Mathematical models for interacting dynamics on networks” (participant)
2010–2015 Partial differential equations, complex networks and applications, OTKA project (participant)
2007–2010 Discrete and Continuous: interfaces between graph theory, algebra, analysis and geometry, OTKA
project (participant)
2006–2007 Hungarian-Slovenian Intergovernmental S& T Cooperation Program
2003–2004,
2006–2007 Budapest-Tübingen Project-related Exchange of People

Teaching
2020-- Lecturer and tutor of seminar for teacher students in Analysis, ELTE Budapest
2005--2010 Lecturer for MSc and PhD Students inMathematics in Operator Semigroups, ELTE Budapest
2005--2010 Lecturer and tutor of seminar for teacher students in Analysis, ELTE Budapest
2002–2004 Tutor of seminar in Functional Analysis and Operator Theory, University of Tübingen

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