Homepage of
doc. Mgr. Diana Barseghyan, Ph.D.


Personal

  • Place of birth:
  • Yerevan, Armenia
  • Languages:
  • English, Czech, Armenian, Russian
  • e-mail:
  • diana.barseghyan[at]osu.cz
  • Office address:
  • Department of Mathematics, Faculty of Science, University of Ostrava,
    30. dubna 22 (Room A 120, Building A), 71103 Moravskį Ostrava, Czech Republic
  • Official webpage:
  • https://prf.osu.cz/diana-barseghyan/66239/
  • Office tel.:
  • +420 553 462135

    Education

  • PhD course at Moscow State University
  • 2007-2010
  • Master course at Yerevan State University
  • 2005-2017
  • Bachelor course at Yerevan State University
  • 2001-2005

    Academic degrees

  • Habilitation (mathematics)
  • 2015 University of Ostrava, Czech Republic
      Thesis title: Spectral analysis of Schrödinger operators with unusual semiclassical behaviour
  • PhD (mathematical analysis)
  • 2010 Moscow State University, Russia
      Thesis title: Lieb-Tirring inequalities and their applications in spectral theory
      Thesis adviser: Prof. Boris Kashin
  • Master (mathematics)
  • 2010 Yerevan State University, Armenia

    Professional career

  • 2011 - 2013
  • PostDoc Nuclear Physics Institute of the ASCR, Ųe˛, Czech Republic
  • 2013
  • PostDoc Mittag-Leffler Institute, Sweden
  • 2013 - 2014
  • PostDoc Friedrich-Alexander Universität Erlangen-Nürnberg, Germany
  • since 2014
  • Researcher Nuclear Physics Institute of the ASCR, Ųe˛, Czech Republic
  • 2014 - 2016
  • Researcher University of Ostrava, Czech Republic
  • since 2016
  • Associated professor University of Ostrava, Czech Republic

    Teaching Experience

  • Calculus of Variations
  • tutorialErlangen-Nürnberg UniversitySS 2013
  • Spectral theory of Schrödinger operators
  • lecturesErlangen-Nürnberg UniversityWS 2013/2014
  • Some topics in functional analysis
  • seminarErlangen-Nürnberg UniversitySS 2014
  • Introduction to function analysis
  • lectures and tutorialUniversity of OstravaWS 2014/2015, WS 2015/2016, WS 2016/2017
  • Complex analysis
  • tutorialUniversity of OstravaSS 2015, SS 2017, WS 2018/2019
  • Introduction to function analysis
  • for Erasmus studentsUniversity of OstravaSS 2016
  • Introduction to linear algerbra
  • for Erasmus studentsUniversity of OstravaSS 2016

    Research interests

    Publications

    Preprints

    Articles in peer-reviewed journals (published or accepted)

    1. Spectral estimates for Dirichlet Laplacian on tubes with exploding twisting velocity
      Diana Barseghyan, Andrii Khrabustovskyi
      Operators and Matrices 13, No. 1, 311-322 (2019)
      preprint, article
    2. Magnetic Dirichlet Laplacian with radially symmetric magnetic field
      Diana Barseghyan, Franēoise Truc
      Operator Theory: Advances and Applications (2019), to appear.
      preprint
    3. A magnetic version of the Smilansky model
      Pavel Exner, Diana Barseghyan
      Journal of Physics A: Mathematical and Theoretical 50, No. 48, 485203, 24 pp. (2017)
      preprint, article
    4. A regular analogue of the Smilansky model:spectral properties
      Diana Barseghyan, Pavel Exner
      Reports on Mathematical Physics 80, No. 2, 177-192 (2017)
      preprint, article
    5. On a class of Schroedinger operators exhibiting spectral transition
      Diana Barseghyan, Olga Rossi
      Functional analysis and operator theory for quantum physics. The Pavel Exner anniversary volume.
      Zürich: European Mathematical Society (EMS). EMS Series of Congress Reports, 55-70 (2017)

      article
    6. Spectral analysis of a class of Schrödinger operators exhibiting a parameter-dependent spectral transition
      Diana Barseghyan, Pavel Exner, Andrii Khrabustovskyi, Milos Tater
      Journal of Physics A: Mathematical and Theoretical 49, No. 16, Article ID 165302, 19 pp. (2016)
      preprint, article
    7. Semiclassical bounds in magnetic bottles
      Diana Barseghyan, Pavel Exner, Hynek Kovaųik, Timo Weidl
      Reviews in Mathematical Physics 28, No. 1, Article ID 1650002, 29 pp. (2016)
      preprint, article
    8. Gaps in the spectrum of a periodic quantum graph with periodically distributed δ'-type interactions
      Diana Barseghyan, Andrii Khrabustovskyi
      Journal of Physics A: Mathematical and Theoretical 48, No. 25, Article ID 255201, 19 pp. (2015)
      preprint, article
    9. A regular version of Smilansky model
      Diana Barseghyan, Pavel Exner
      Journal of Mathematical Physics 55, No. 4, Article ID 042104, 13 pp. (2014)
      preprint, article
    10. Spectral estimates for Dirichlet Laplacians on perturbed twisted tubes
      Pavel Exner, Diana Barseghyan
      Operators and Matrices 8, No. 1, 167-183 (2014)
      preprint, article
    11. Spectral estimates for Dirichlet Laplacians and Schrödinger operators on geometrically nontrivial cusps
      Diana Barseghyan, Pavel Exner
      Journal of Spectral Theory 3, No. 4, 465-484 (2013)
      preprint, article
    12. Spectral estimates for a class of Schrödinger operators with infinite phase space and potential unbounded from below
      P.Exner, Diana Barseghyan
      Journal of Physics A: Mathematical and Theoretical 45, No. 7, Article ID 075204, 14 p. (2012)
      preprint, article
    13. Possibility to strengthen the Lieb-Thirring inequality for systems of functions of special type
      Diana Barseghyan
      Moscow University Mathematics Bulletin 66, No. 3, 93-100 (2011)
      article
    14. Applications of inequalities of Lieb-Thirring type to spectral theory
      Diana Barseghyan
      Mathematical Notes 88, No. 2, 160-164 (2010)
      article
    15. On the possibility of strengthening the Lieb-Thirring inequality
      Diana Barseghyan
      Mathematical Notes 86, No. 6, 753-766 (2009)
      article
    16. On inequalities of Lieb-Thirring type
      Diana Barseghyan
      Mathematical Notes 82, No. 4, 451-460 (2007)
      article

    Proceedings

    Conferences

    Research visits

    Collaborators

    Editorial work

    Editor in the journal "Communications in Mathematics" published by the University of Ostrava and "Sciendo" (former "De Gruyter Open")