**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

Lecture notes for my students (in Hungarian):

Egyváltozós analízis 1 előadásjegyzet

Bevezető analízis 2 előadásjegyzet

Analízis jegyzet

Operátorfélcsoportok jegyzet

Old pages for my students

Magyar Tudományos Művek Tára (MTMT)

MathSciNet

M. Kovács and E. Sikolya, Stochastic reaction–diffusion equations on networks, JOURNAL OF EVOLUTION EQUATIONS 21 (2021), pp. 4213–4260. 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 52 (2021), 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. pdf

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

Download**Personal**

Born: January 19, 1976 Budapest, Hungary

Nationality: Hungarian

Marital status: married, 3 children
**Current position
**

2020–2022 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 Bolyai Mathematical Society

2004 "Promotionspreis" (Award for the best PhD thesis of the faculty) University of Tübingen, Faculty

for Mathematics 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**

2022 Mathematics of Large Networks Workshop, Alfréd Rényi Institute of Mathematics, Budapest (Hungary)

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– Analysis lecturer and tutor of seminar for teacher students, ELTE Budapest

2005– Operator Semigroups lecturer for MSc and PhD Students in Mathematics, ELTE Budapest

2005–2010 Analysis lecturer and tutor of seminar for BSc students in Mathematics, Physics and Meteorology, ELTE Budapest

2002–2004 Tutor of seminar in Functional Analysis and Operator Theory, University of Tübingen

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