Selected talks

Selected talks at international conferences, symposia, workshops etc
Other selected talks
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Selected talks

  • Complex Absorbing Potential method for perturbed Dirac operators, May 8, 2014, "Mathematics of Nonlinear Phenomena", Dublin Institute of Technology, Dublin, Republic of Ireland.

  • Variational problems with nonlocal operators -- Applications to Boson Stars, August 30, 2013, Special Session "Variational Problems of Physical Origin", AMMCS 2013, WLU, Waterloo, Canada

  • Kohn-Sham models with heavy atoms, August 26, 2013, Special Session "Density Functional Theory", AMMCS 2013, WLU, Waterloo, Canada

  • Elliptic variational problems with nonlocal operators, July, 2012, Special Session "Existence and Multiplicity Results in Elliptic Variational Problems", AIMS 2012, Orlando, Florida, U.S.A.

  • Solutions to the Kohn-Sham model for heavy atoms, July 1, 2012, Special Session "Analysis of PDEs and Particle Systems: From Life Sciences, Economics and Materials Science", AIMS 2012, Orlando, Florida, U.S.A.

  • Solutions to locally compact variational problems with nonlocal operators, June 4, 2012, Spring School in Nonlinear Partial Differential Equations, Brussels, Belgium.

  • The complex absorbing potential method and resonances in physics and chemistry, May 18, 2012. University of Limerick, Ireland.

  • Weakly coupled semi-linear equations with nonlocal operators, March 27, 2012, Trinity Collge Dublin, Ireland.

  • Operator theoretical approach to Stiefel and Grassmann manifolds in Quantum Chemistry, April 27, 2011, Conference on "Operator Theory and its Applications", Chalmers University of Technology, Gothenburg, Sweden.

  • Existence of a ground state for relativistic Kohn-Sham models, April 1, 2011, Mini-Symposium on "Analysis and PDEs", Uppsala University, Sweden.

  • Resonances in Quantum Chemistry: Complex absorbing potential method for systems, September 2, 2010, Annual Meeting of the Irish Mathematical Society, Dublin Institute of Technology, Dublin, Ireland.

  • Resonances in Quantum Chemistry: Complex absorbing potential method for systems, July 13, 2010, 21th International Workshop on Operator Theory and its Applications (IWOTA 2010), July 12-16, 2010, Technische Universität, Berlin, Germany.

  • Existence of a ground state and excited states of quasi-relativistic Hartree-Fock equations , Emerging Topics in Dynamical Systems and Partial Differential Equations, DSPDEs'10, June 1, 2010,Barcelona, Spain.

  • Critical point theory and applications in Quantum Chemistry, Special Session "Mathematical Analysis of PDE Models in Material Science", AIMS 2010, May 26, 2010, Dresden, Germany.

  • Recent results on models of Quantum Chemistry, February 11, 2010, The Mittag-Leffler Institute, The Royal Swedish Academy of Sciences, Stockholm, Sweden.

  • Existence of a ground state and excited states of quasi-relativistic Hartree- Fock equations , Bogolyubov Kyiv Conference "Modern Problems of Theoretical and Mathematical Physics", September 16, 2009, Kyiv, Ukraine.

  • Existence of inifinitely many solutions to the quasi-relativistic Hartree-Fock equations, Mathematical Methods in Quantum Mechanics, February 19, 2009, Bressanone, Italy

  • Existence vs non-existence of minimizers for Hartree-Fock equations with external fields, "CVA 2008", Caparica, September 8-11, 2008 Lisboa, Portugal.

  • Hartree-Fock equations with magnetic fields, International Conference on Nonlinear Partial Differential Equations, September 10-14, 2007, Yalta, Crimea, Ukraine.

  • Confinement effects on scattering for a nanoparticle, "APLIMAT07", February 6-9, 2007, Bratislava, Slovak Republic.

  • Hartree-Fock equations with magnetic fields, September 28, 2007, Växjö University, Sweden.

  • Spectral properties of coupled differential equations, "ICL100", September 12-17, 2006, Lviv, Ukraine.

  • Strong asymptotic completeness of a quantum wire, "Days of Diffraction", May 30 -- June 2, 2006. Steklov Math. Inst., St. Petersburg, Russia.

  • Selected Results in Mathematical Quantum Mechanics , May 9, 2005, University of Strathclyde, Scotland, Great Britain.

  • On Aharonov-Bohm Hamiltonians , EPSRC Symposium "The Mathematics of Quantum Systems: Spectral Theory", April 2-8, 2005, University of Warwick, Great Britain.

  • Negative discrete spectrum of perturbed multi-vortex Aharonov-Bohm Hamiltonians , Conference "Qmath9: Mathematical Results in Quantum Mechanics", September 12 - 16, 2004, Giens, France.

  • Spectral properties of perturbed multi-vortex Aharonov-Bohm Hamiltonians , August 30, 2004, Institute of Mathematics, Ukrainian National Academy of Sciences, Kiev.

  • Spectral properties of Schrödinger and Dirac operators with external magnetic fields. Part II: Aharonov-Bohm Hamiltonians and Lieb-Thirring inequalities , November 20, 2003, Department of Mathematics, University of York, Great Britain.

  • Spectral properties of Schrödinger and Dirac operators with external magnetic fields. Part I: Eigenvalue Asymptotics , November 19, 2003, Department of Mathematics, University of York, Great Britain.

  • Spectral and scattering theory for Schrödinger and Dirac operators with external magnetic fields , May 21, 2003, Department of Mathematics, King's College, London, Great Britain.

  • Eigenvalue asymptotics for even-dimensional perturbed Dirac and Schrödinger operators with constant magnetic fields, Workshop on Spectral Theory of Schrödinger Operators. September 2 - 7, 2002. Royal Institute of Technology and the Mittag-Leffler Institute, Stockholm, Sweden.

  • The Schrödinger equation near a threshold, Universita di Roma I "La Sapienza", November 29, 2001, Rome, Italy.

  • Spectral properties in the low-energy limit of one-dimensional Schrödinger operators, Fifth European Meeting on Partial Differential Equations and Applications in Quantum Mechanics, July 14 - 16, 2001, School of Mathematics, University of Wales, Cardiff, Wales, Great Britain.

  • Perturbation of eigenvalues and half-bound states embedded at a threshold , ``XV Max Born Symposium'', June 26-30, 2001, Institute of Theoretical Physics, University of Wroclaw, Poland.

  • Quantum scattering near the lowest Landau threshold for a Schrödinger operator with a constant magnetic field , TMR Meeting and Conference on "Real and Complex Harmonic Analysis Related to Homogeneous Manifolds", January 11 - 19, 2001, Zakopane, Poland.

  • The Schrödinger equation near thresholds, One Day Meeting on Spectral Problems of ODE's and PDE's, June 28, 2000, Department of Computer Science and Department of Mathematics, University of Wales, Cardiff, Wales, Great Britain.

  • The Schrödinger equation near thresholds, Gregynog Mathematics Colloquium, May 22-24, 2000, Gregynog Hall, Wales, Great Britain.

Other selected talks

  • The complex absorbing potential method and resonances in physics and chemistry, March 29, 2012, Dublin City University, Dublin, Ireland.

  • Critical point theory and applications in Quantum Chemistry, Colloquium, April 22, 2010, Dublin City University, Dublin, Republic of Ireland.

  • Existence of a ground state and excited states of quasi-relativistic Hartree- Fock equations , September 24, 2009.Växjö University, Växjö, Sweden.

  • Mathematical Quantum Mechanics , May 6, 2008. Dublin Institute of Technology, Dublin, Republic of Ireland.

  • Recent results on rigorous Quantum Mechanics, June 25, 2007, University of Wales, Aberystwyth, Great Britain.

  • Why is Matter stable?, May 5, 2006, Department of Quantum Chemistry, Uppsala University, Sweden.

  • Schrödinger operators at thresholds , Docent Lecture, April 27, 2004, Department of Mathematics, Uppsala University, Sweden.

  • Stability of Matter, Colloquium, December 16, 2002, Department of Mathematics, University of Gothenburg, Sweden.

  • On bound states for systems of weakly coupled Schrödinger equations in one space dimension, May 21, 2002, Department of Mathematics, University of Gothenburg, Sweden.