OLENA KARPEL

Citizenship: Ukraine

Address : Mathematical Division,
B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine,
47 Nauky Ave, Kharkiv, 61103, Ukraine

Tel: +38 (057) 341-09-85

Fax: +38 (057) 340-33-70

E-mail: helen.karpel@gmail.com, karpel@ilt.kharkov.ua

CURRENT POSITION

Research Fellow, Mathematical Division, B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, Kharkiv, Ukraine, February 2015 – present.

 Assistant Professor, Faculty of Applied Mathematics, AGH University of Science and Technology, October 2018 – present.

PREVIOUS POSITIONS

 Assistant Professor, Department of Dynamical Systems, Institute of Mathematics of the Polish Academy of Sciences, September 2015 – August 2018.

Junior Research Fellow, Mathematical Division, B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, Kharkiv, Ukraine, November 2012 – January 2015.

EDUCATION

Ph.D. in Mathematics, B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, Kharkiv, Ukraine, 2013. Dissertation: “Measures on Cantor sets and their classification”.
Advisor: Dr. S. Bezuglyi.

M.Sc. in Mathematics (with Distinction), Kharkiv National University, Ukraine, 2009. Master’s thesis: “Ergodic measures invariant with respect to homeomorphisms of a Cantor set”. Advisor: Dr. S. Bezuglyi.

B.Sc. in Mathematics (with Distinction), Kharkiv National University, 2008.
Bachelor’s thesis: “Bernoulli measures on a Cantor set”. Advisor: Dr. S. Bezuglyi.

RESEARCH INTERESTS

Ergodic Theory and Topological Dynamics, Orbit Equivalence, Symbolic Dynamical Systems.

RESEARCH AWARDS AND SCHOLARSHIPS

  •  Grant of the President of Ukraine for young scientists 2018.
  •  Award of the National Academy of Sciences of Ukraine for young scientists 2015.
  •  Scholarship of the National Academy of Sciences of Ukraine for young scientists 2014.
  •  The winner of the Mathematics Competition of Shevchenko Scientific Society and U.S.- Ukraine Foundation 2013.
  •  Scholarship of the Akhiezer Foundation 2010.
  •  Scholarship of the Yuri Sapronov fund 2008 - 2009.
  •  First place at All-Ukrainian competition of student research papers, Donetsk, Ukraine, 2008.

LIST OF PUBLICATIONS AND PREPINTS

  1. 1. S. Bezuglyi, O. Karpel and J. Kwiatkowski, Exact number of ergodic invariant measures for Bratteli diagrams, submitted.
  2. 2. T. Downarowicz and O. Karpel, Decisive Bratteli-Vershik models, to appear in Studia Math.
  3. 3. T. Downarowicz and O. Karpel, Dynamics in dimension zero. A survey, Discrete Contin. Dyn. Syst. 38 (2018), 1033-1062.
  4. M. Adamska, S. Bezuglyi, O. Karpel and J. Kwiatkowski, Subdiagrams and invariant measures on Bratteli diagrams (submitted)Ergodic Theory Dynam. Syst. 37 (2017), 2417-2452.
  5. S. Bezuglyi, O. Karpel, Bratteli diagrams: structure, measures, dynamics (submitted), Contemp. Math. 669 (2016), 1-36.
  6. S. Bezuglyi, O. Karpel and J. Kwiatkowski, Subdiagrams of Bratteli diagrams supporting finite invariant measures, J Math Phys Anal Geo 11 (2015), 3-17.
  7. 7. O. Karpel, Invariant measures on Bratteli diagrams (in Ukrainian), Visn. Nac. Akad. Nauk Ukr. – 2015(9). – P. 80-85.
  8. S. Bezuglyi and O. Karpel, Orbit Equivalent Substitution Dynamical Systems and Complexity, Proc. Amer. Math. Soc. 142 (2014), 4155-4169.
  9. O.M. Karpel, Good Measures on Locally Compact Cantor Sets, J Math Phys Anal Geo, 8(2012), 260-279.
  10. O. Karpel, Infinite measures on Cantor spaces, J Difference Equ. Appl. 18 (2012), 703-720.
  11. S.Bezuglyi and O.Karpel, Homeomorphic Measures on Stationary Bratteli Diagrams, J. Funct. Anal. 261(2011), 3519-3548.

CONFERENCES AND WORKSHOPS

  •  Summer School in Dynamics, ICTP, Trieste (Italy), 23 - 27 July 2018.
  •  Conference “Dynamics: Topology and Numbers”, Bonn (Germany), 2 - 6 July 2018. 
  •  Ergodic aspects of modern dynamics. A conference in honour of Mariusz Lemanczyk on his 60th birthday, Bedlewo (Poland), 10 - 16 June 2018.
  •  Dynamical Systems, Difference and Functional Equations. A conference in honor of Marek C. Zdun's 70th birthday, Krynica-Zdroj (Poland), 4 - 8 June 2018.
  •  Dynamics of Semigroups and Random Dynamical Systems (workshop), Warsaw, (Poland), 15-16 February 2018.
  • Wandering Seminar: A mini-conference on Ergodic Theory and Dynamical Systems, Lodz (Poland), 7 - 10 December 2017.
  • “Analysis and Applications”. A conference in honor of Elias M. Stein, Wroclaw  (Poland), 4 - 8 September 2017.
  •  Just a Little Calculation in Dynamics, Bedlewo (Poland), 13 - 19 August 2017.
  •  6th Pingree Park Dynamics Workshop, Denver, CO (USA), 17 - 20 July 2017.
  •  International Conference of Young Mathematicians, Kyiv (Ukraine), 7 - 10 June 2017.
  •  Ergodic Theory Workshop, Chapel Hill, NC (USA), 20 - 23 April 2017.
  •  Wandering Seminar: A mini-conference on Ergodic Theory and Dynamical Systems, Wroclaw (Poland), 2-5 March 2017.
  • New Advances in Symbolic Dynamics (CNRS Thematic School), Marseille (France), 30 January - 3 February 2017.
  • Applications of Ergodic Theory in Number Theory, Marseille (France), 17-21 October 2016.
  • 7 Forum of Polish Mathematicians with the Participation of Ukrainian Mathematicians, Olsztyn (Poland), 12-17 September 2016.
  • Transversal Aspects of Tilings, Oleron (France), 30 May - 24 June 2016.
  •  New developments around x2 x3 conjecture and other classical problems in Ergodic Theory, Cieplice (Poland), 23 – 27 May 2016.
  • Wandering Seminar: A mini-conference on Ergodic Theory and Dynamical Systems, Krakow (Poland), 19 – 22 May 2016.
  • Wandering Seminar: A mini-conference on Ergodic Theory and Dynamical Systems, Warsaw (Poland), 1 – 3 April 2016.
  • Simons Semester in Banach Center: "Dynamical Systems", Warsaw (Poland), September – December 2015.
  • School and Conference on Dynamical Systems, ICTP, Trieste (Italy), 20 July – 7 August 2015.
  • International Conference “Dynamical Systems and their Applications”, Kyiv (Ukraine), 22 – 26 June 2015.
  • Wandering Seminar: A mini-conference on Ergodic Theory and Dynamical Systems, Krakow (Poland), 20–23 November 2014.
  • Activity “Dynamics and Numbers”, Bonn (Germany), 1 June – 31 July 2014.
  • Ergodic Theory and Dynamical Systems, Torun (Poland), 12–16 May 2014.
  • Wandering Seminar: A mini-conference on Ergodic Theory and Dynamical Systems, Warsaw (Poland), 24-27 April, 2014.
  • School on Geometry and Dynamics, Marseille (France), 31 March–4 April 2014.
  • Wandering Seminar: A mini-conference on Ergodic Theory and Dynamical Systems, Jagiellonian University in Krakow (Poland), 23–26 January 2014.
  • 5th Visegrad Conference on Dynamical Systems, Olsztyn (Poland), 2–6 September 2013.
  • 28th Journees Arithmetiques, Grenoble (France), 1–5 July, 2013.
  • Summer School “Number Theory and Dynamics”, Grenoble (France), 17-28 June, 2013.
  • Dynamical Systems Workshop, University of Maryland, College Park, MD (USA), 4–7 April 2013.
  • Ergodic Theory Workshop, Chapel Hill, NC (USA), 21–24 March 2013.
  • EMS-IAMP Summer School on Quantum Chaos, Vienna (Austria), 30 July–3 August 2012.
  • ICTP-ESF School and Conference in Dynamical Systems, Trieste (Italy), 21 May–8 June 2012.
  • Modern Dynamics and its Interaction with Analysis, Geometry and Number Theory, Bedlewo (Poland), 27 June–24 July 2011.
  • Czech-Slovak-Spanish Workshop on Discrete Dynamical Systems, LaManga del Mar Menor (Spain), 20–24 September 2010.

SEMINAR AND COLLOQUIUM TALKS

  • The University of Iowa, Iowa City, IA, USA, April 2017.
  • AGH University of Science and Technology, Krakow, Poland, March 2017, December 2017.
  • Marseilles Institute of Mathematics, Marseille, France, October 2016.
  • Leipzig University, Leipzig, Germany, April 2016.
  • University of Bristol, Bristol, UK, May 2015.
  • Jagiellonian University, Krakow, Poland, November 2014, December 2017.
  • Nicolas Copernicus University, Torun, Poland, April 2014, November 2014, January 2016, February 2017, November 2017.
  • Institute of Mathematics of the Polish Academy of Sciences, Warsaw, Poland, November 2015, November 2016, December 2017.
  • Wroclaw University of Technology, Wroclaw, Poland, October 2015, April 2016, October 2016, November 2017
  • Institute of Mathematics NAS of Ukraine, Kyiv, Ukraine, December 2013.
  • University of Maryland, College Park, Maryland, United States, April 2013.

RESEARCH VISITS

  • Marseilles Institute of Mathematics, Marseille, France, one week in 2016.
  • Leipzig University, Leipzig, Germany, one week in 2016.
  • University of Bristol, Bristol, UK, one week in 2015.
  • Max Planck Institute for Mathematics, Bonn, Germany, two weeks in 2014.
  • Nicolaus Copernicus University, Torun, Poland, one month in 2014, one month in 2016, three weeks in 2017.
  • University of Maryland, College Park, MD, USA, two weeks in 2013.

ADDITIONAL INFORMATION

  • Reviewer for Mathematical Reviews Database.
  • Member of the Young Scientists Council of the Mathematical Department of the National Academy of Sciences of Ukraine.
  •  Member of Kharkiv Mathematical Society.