ANTON SOLOMKO. University of Bristol School of Mathematics Howard House, Queens Avenue Bristol, BS8 1SN, UK

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1 ANTON SOLOMKO University of Bristol School of Mathematics Howard House, Queens Avenue Bristol, BS8 1SN, UK Office: +44 (0) Fax: +44 (0) Skype: anton.solomko CURRENT POSITION Postdoctoral Research Assistant in Dynamical Systems, School of Mathematics, University of Bristol, UK, September 2014 August Funded by the ERC grant Chaos in Parabolic Dynamics, postdoctoral mentor: Prof. Corinna Ulcigrai. PREVIOUS POSITIONS Junior Research Fellow, Mathematical Division, Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, Kharkiv, Ukraine, November 2012 August EDUCATION Ph.D. in Mathematics, ILTPE, National Academy of Sciences of Ukraine, Dissertation: Measurable rank-one actions and its applications, adviser: Prof. Alexandre I. Danilenko. M.Sc. in Mathematics (with Distinction), Kharkiv National University, Ukraine, Master s thesis: Countable abelian group actions with homogeneous spectrum, adviser: Prof. Alexandre I. Danilenko. B.Sc. in Mathematics (with Distinction), Kharkiv National University, Ukraine, Bachelor s thesis: Infinite measure preserving flows with infinite ergodic index, adviser: Prof. Alexandre I. Danilenko. RESEARCH INTERESTS Ergodic Theory and Dynamical Systems: spectral theory of dynamical systems, rank-one and finite rank actions, (C,F)-construction, theory of joinings, special flows, interval exchange transformations and Teichmüller dynamics, infinite ergodic theory. RESEARCH AWARDS AND SCHOLARSHIPS Scholarship of the National Academy of Sciences of Ukraine for young scientist Grant of the Akhiezer Foundation Tarapov Fellowship for Young Researchers in Mathematics Silver medalist of the Ukrainian Olympiad on Analytical Mechanics for University Students Various travel grants to attend conferences.

2 Anton Solomko Page 2 PUBLICATIONS (6) On isomorphism problem for von Neumann flows with one discontinuity, with A. Kanigowski, submitted. (5) On rank of von Neumann special flows, with A. Kanigowski, to appear in Ergodic Theory and Dynamical Systems. (4) Simple mixing actions with uncountably many prime factors, with A. I. Danilenko, Colloquim Mathematicum, 139 (2015), (3) New spectral multiplicities for ergodic actions, Studia Mathematica, 208 (2012), (2) Ergodic abelian actions with homogeneous spectrum, with A. I. Danilenko, Contemporary Mathematics, Amer. Math. Soc., Volume 532 (2010), (1) Infinite measure preserving flows with infinite ergodic index, with A. I. Danilenko, Colloquim Mathematicum, 115 (2009), RESEARCH VISITS University of Maryland, College Park, MD (USA), 2 weeks in Pennsylvania State University, State College, PA (USA), 1 week in SEMINAR TALKS April 2017: Princeton University (USA), Ergodic Theory and Statistical Mechanics Seminar. April 2017: NYC Dynamics Seminar at CUNY and Yeshiva University (USA). April 2017: University of Maryland (USA), Dynamics Seminar. December 2016: Institute of Mathematics of the Polish Academy of Sciences, Warsaw (Poland), Dynamical Systems Seminar. November 2016: University of Manchester (UK), Dynamical Systems Seminar. December 2015: Imperial College London (UK), Dynamic Seminar. January 2015: University of Warwick (UK), Ergodic Theory and Dynamical Systems Seminar. October 2014: University of Bristol (UK), Ergodic Theory and Dynamical Systems Seminar. CONFERENCE AND COLLOQUIUM TALKS Ergodic Theory Workshop, Chapel Hill, NC (USA), April Contributed talk: On rank and isomorphism of von Neumann special flows. Wroclaw (Poland), 1 3 April Invited talk: Some invariants for von Neumann special flows. Workshop Spectral Theory of Dynamical Systems and Related Topics, CIRM,

3 Anton Solomko Page 3 Marseille (France), October Invited talk: On rank and isomorphism problem for von Neumann flows with one discontinuity. Warsaw (Poland), 1 3 April Invited talk: Spectral type of finite rank transformations via matrix Riesz products. Krakow (Poland), November Invited talk: (C, F )-construction, joinings and prime factors of simple actions. Visegrad Conference on Dynamical Systems, Olsztyn (Poland), 2 6 September Contributed talk: Simple weakly mixing transformation with uncountably many prime factors. Dynamical Systems Workshop, University of Maryland, College Park, MD (USA), 4 7 April Contributed talk: On spectral multiplicities for ergodic actions. Ergodic Theory Workshop, Chapel Hill, NC (USA), March Contributed talk: On spectral multiplicity for ergodic Abelian actions. International Conference Dynamical Systems and Applications, Kyiv (Ukraine), May Contributed talk: On spectral multiplicities for ergodic actions. Complex analysis and its applications, International conference dedicated to the 70th anniversary of A.F. Grishin, Kharkiv (Ukraine), August Contributed talk: New spectral multiplicities for ergodic actions. Modern Dynamics and its Interaction with Analysis, Geometry and Number Theory, Bȩdlewo (Poland), 27 June 24 July Colloquium talk: New spectral multiplicities for ergodic actions. International Conference for Young Scientists Low Temperature Physics, Kharkiv (Ukraine), 6 10 June Contributed talk: New spectral multiplicities for ergodic flows. Czech-Slovak-Spanish Workshop on Discrete Dynamical Systems, La Manga del Mar Menor (Spain), September Contributed talk: Ergodic abelian actions with homogeneous spectrum. International Conference Tarapov Readings, Kharkiv (Ukraine), April Contributed talk: Infinite measure preserving flows with infinite ergodic index. CONFERENCES AND SEMINARS ORGANIZATION Co-organizing the Ergodic Theory and Dynamical Systems Seminar at the School of Mathematics, University of Bristol, Organizing the Winter School Aubry-Mather Theory, Convex Billiards and Spectral Invariants, Kharkiv National University, December Organizing the Summer School Introduction to Hamiltonian Dynamics, Kharkiv National University, August 2013.

4 Anton Solomko Page 4 CONFERENCES AND WORKSHOPS ATTENDED Workshop on Hyperbolic Dynamics, ICTP, Trieste (Italy), June Conference on dynamical systems (in memory of Jean-Christophe Yoccoz), Paris (France), 29 May 1 June Winter School on Conservative Dynamics, Engelberg (Switzerland), 5 11 February One Day Ergodic Theory Meeting, London (UK), 7 December Heilbronn Annual Conference, Bristol (UK), September School on Algebraic, Geometric and Probabilistic Aspect of Dynamical Systems and Control Theory, ICTP, Trieste (Italy), 4 15 July British Mathematical Colloquium, Bristol (UK), March Ergodic Theory of Dynamical Systems, Bȩdlewo (Poland), November Translation Surfaces and Dynamics, Bȩdlewo (Poland), November Ergodic Theory, Fractals and Groups, Jerusalem (Israel), October Summer School Thermodynamic Formalism and Transfer Operator Method, Göttingen (Germany), September School and Conference on Dynamical Systems, ICTP, Trieste (Italy), 20 July 7 August One Day Ergodic Theory Meeting, Bristol (UK), 18 June Flat Surface Day, Paris (France), 20 May One Day Ergodic Theory Meeting, Manchester (UK), 12 May Ergodic Theorems and Applications in Probability, Eilat (Israel), 3 8 May Wroclaw (Poland), April One Day Ergodic Theory Meeting, London (UK), 3 December Heilbronn Annual Conference, Bristol (UK), September Fifth International Conference and School Geometry, Dynamics, Integrable Systems GDIS 2014: Bicentennial of The Great Poncelet Theorem and Billiard Dynamics, ICTP, Trieste (Italy), June Ergodic Theory and Dynamical Systems, Toruń (Poland), May Poster: Prime factors of simple mixing actions. School on Geometry and Dynamics, CIRM, Marseille (France), 31 March 4 April Krakow (Poland), January Aubry-Mather Theory, Convex Billiards and Spectral Invariants, Kharkiv (Ukraine), December 2013 organizer. Introduction to Hamiltonian Dynamics, Kharkiv (Ukraine), August 2013 organizer.

5 Anton Solomko Page 5 Summer School Rigidity and Group Actions, Paris (France), June EMS-IAMP Summer School on Quantum Chaos, Vienna (Austria), 30 July 3 August Poster: Spectral multiplicities for ergodic actions. ICTP-ESF School and Conference in Dynamical Systems, ICTP, Trieste (Italy), 21 May 8 June Poster: Spectral multiplicities for ergodic actions. TEACHING EXPERIENCE University of Bristol, UK Graduate Course Spectral Theory of Dynamical Systems (Spring term 2016, lecturer) Kharkiv National University, Ukraine Undergraduate Courses Ergodic Theory (Spring term 2014, lecturer) Calculus (Fall term 2008, instructor) Minicourse Introduction to Ergodic Theory (Summer 2013, lecturer) Teacher at the Center of pre university training Leading of the mathematical circle, preparing pupils for participation in mathematical olympiads, organizing mathematical olympiads for students Gymnasium 55, Kharkiv, Ukraine Teacher Leading of the mathematical circle, preparing pupils for participation in mathematical competitions. PROFESSIONAL MEMBERSHIP Kharkiv Mathematical Society European Mathematical Society London Mathematical Society LANGUAGES Human: English (fluent), Ukrainian (native), Russian (native), Italian (basic). Programming: C, C++, Java, Python, HTML, PHP, SQL, Maple, L A TEX.

6 Anton Solomko Page 6 REFERENCES Prof. Corinna Ulcigrai Professor in Pure Mathematics School of Mathematics, University of Bristol, Howard House, Queens Avenue, BS8 1SN Bristol, UK +44 (0) Prof. Dr Hab. Mariusz Lemańczyk Chair of Ergodic Theory and Dynamical Systems Faculty of Mathematics and Computer Science, Nicolaus Copernicus University in Toruń, 12/18 Chopin street, Toruń, Poland Prof. Alexandre I. Danilenko Leading Researcher Mathematical Division, Institute for Low Temperature Physics & Engineering of the National Academy of Sciences of Ukraine, 47 Nauky Ave, Kharkiv, Ukraine +38(057) Prof. Sergii I. Bezuglyi Lecturer Department of Mathematics, University of Iowa, 14 MacLean Hall, Iowa City, IA Leading Researcher Mathematical Division, Institute for Low Temperature Physics & Engineering of the National Academy of Sciences of Ukraine, 47 Nauky Ave, Kharkiv, Ukraine Dr. Thomas Jordan (teaching reference) Senior Lecturer in Pure Mathematics School of Mathematics, University of Bristol, Howard House, Queens Avenue, BS8 1SN Bristol, UK +44 (0)