Faculty of Mathematics Oskar-Morgenstern-Platz 1 Aleksey KOSTENKO 1090 Vienna T +43 1 4277 50482 B [email protected] Curriculum Vitæ Í http://www.mat.univie.ac.at/ kostenko/

Main Areas of Research Analysis: Spectral Theory and Education 2012 Habilitation, University of Vienna, . 2007 Ph.D in Mathematics, Institute of Appl. Math. & Mech., UKRAINE. 2002 MSc in Mathematics (with distinction), Donetsk National University, UKRAINE. Employment 2016-current Associated Professor, UNIVERSITY OF LJUBLJANA, SLOVENIA. 2011-current Principal Investigator, UNIVERSITY OF VIENNA, FWF PROJECT # 28807. 2013-2014 Scientific consultant, GEOLAB-IT, RUSSIA. 2008-2010 IRCSET Postdoctoral Fellow, Dublin Institute of Technology, IRLAND. 2008 ESI Junior Research Fellow, ESI, AUSTRIA. 2007 ESI Junior Research Fellow, ESI, AUSTRIA. 2006-2011 Researcher, Institute of Appl. Math. & Mech., UKRAINE. 2004-2005 Assistant Lecturer, Donetsk National University, UKRAINE. Supervised PhD Students (exp.) 2020 Noema Nicolussi, Infinite Quantum Graphs. Jan. 2018 Marcus Holzleitner, Dispersive Estimates for Spherical Schrödinger Equations, (co-advisor). 5 Selected Invited Lectures Feb. 2019 Differential Operators on Graphs and Waveguide, Infinite Quantum Graphs, Graz, Austria. June 2018 10th St. Petersburg Conference in Spectral Theory, dedicated to M. Sh. Birman’s 90th anniversary, Infinite Quantum Graphs, St. Petersburg, Russia. May 2018 Operators, Functions, and Systems of Mathematical Physics, Generalized Indefinite Strings, Baku, Azerbajan. Sep 2017 19th ÖMG Congress and Annual DMV Meeting, Infinite Quantum Graphs, Salzburg, Austria. July 2015 26th IWOTA, Generalized Indefinite Strings and the Camassa–Holm Equation, Tbilissi, Georgia. 5 Selected Academic Prizes/Awards 2019 Invited Speaker at the 8thECM, European Mathematical Society. 2016 Prize of the Austrian Mathematical Society.

CV KOSTENKO Page 1 of 6 2008 Diploma for the best research work in Math. (2007), NAS of Ukraine. 2007 Premium in honour of Ya.B.Lopatinskii, IAMM, NAS of Ukraine. 2003 Diploma for the best student work in Math. (2002), NAS of Ukraine. Most important peer review activities, editorships and/or memberships in academic organisations 2019 – Editor, Integral Equations and Operator Theory. 2016 – Editor, Advances in Operator Theory. 2010–2018 Reviewer, Zentralblatt Math. 2004 – Reviewer, Mathematical Reviews, (more than 85 reviews). Selected Research Projects 2016-2020 Principal Investigator, Infinite Quantum Graphs, FWF, (e 339.097). 2013-2016 Principal Investigator, Indefinite Spectral Problems and the Camassa–Holm Equation, FWF, (e 221.350). 2011-2013 Principal Investigator, Indefinite Spectral Problems and the Camassa–Holm Equation, FWF, (e 121.350). 2008-2010 Principal Investigator, Indefinite Spectral Problems, IRCSET. Cooperation Partners (in the last 5 years) Jonathan Eckhardt, Loughborough University, UK. Pavel Exner, Doppler Institute, CZECH REPUBLIC. , Baylor University, USA. , NTNU, NORWAY. Tom Koornwinder, University of Amsterdam, NETHERLANDS. Mark Malamud, RUDN University, RUSSIA. Delio Mugnolo, FernUni Hagen, GERMANY. Hagen Neidhardt, Weierstrass Institute, GERMANY. Noema Nicolussi, University of Vienna, AUSTRIA. Gerald Teschl, University of Vienna, AUSTRIA. Julio Toloza, CONICET, ARGENTINA.

CV KOSTENKO Page 2 of 6 10 Most Important Publications

1. A. Kostenko and N. Nicolussi, Spectral estimates for infinite quantum graphs, Calc. Var. Partial Differential Equations 58, no. 1, Art ID: 15 (2019); DOI: 10.1007/s00526-018-1454-3

2. T. Koornwinder, A. Kostenko and G. Teschl, Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator, Adv. Math. 333, 796–821 (2018); DOI: 10.1016/j.aim.2018.05.038

3. J. Eckhardt, A. Kostenko, and G. Teschl, Spectral asymptotics for canonical systems, J. reine angew. Math. (Crelle) 736, 285–315 (2018); DOI: 10.1515/crelle-2015-0034

4. J. Eckhardt and A. Kostenko, The inverse spectral problem for indefinite strings, Invent. Math. 204, no. 3, 939–977 (2016); DOI: 10.1007/s00222-015-0629-1

5. J. Eckhardt and A. Kostenko, An isospectral problem for global conservative multi-peakon solutions of the Camassa–Holm equation, Commun. Math. Phys. 329, 893–918 (2014); DOI: 10.1007/s00220-014-1905-4

6. A. Kostenko, The similarity problem for indefinite Sturm–Liouville operators and the HELP inequality, Adv. Math. 246, 368–413 (2013); DOI: 10.1016/j.aim.2013.05.025

7. A. Kostenko and G. Teschl, Spectral asymptotics for perturbed spherical Schrödinger operators and applications to quantum scattering, Commun. Math. Phys. 322, 255–275 (2013); DOI: 10.1007/s00220-013-1698-x

8. A. Kostenko, A. Sakhnovich, and G. Teschl, Weyl–Titchmarsh theory for Schrödinger operators with strongly singular potentials, Intern. Math. Res. Notices (IMRN) 2012, 1699–1747 (2012); DOI: 10.1093/imrn/rnr065.

9. A. Kostenko and M. Malamud, 1–D Schrödinger operators with local point interactions on a discrete set, J. Differential Equations 249, 253–304 (2010); DOI: 10.1016/j.jde.2010.02.011.

10. A. Boutet de Monvel, A. Kostenko, D. Shepelsky, and G. Teschl, Long-time asymptotics for the Camassa–Holm equation, SIAM J. Math. Anal. 41, 1559–1588 (2009); DOI: 10.1137/090748500.

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