Tamás F. Görbe
The main interests of my research are Integrable Systems and their algebraic, geometric, and fieldtheoretic aspects. For more, see my publications and my CV.
Research
Research Papers
 (with M. Hallnäs) Quantisation of compact forms of the trigonometric RuijsenaarsSchneider system, in preparation (2017)
 (with L. Fehér) Trigonometric and elliptic RuijsenaarsSchneider systems on the complex projective space, Lett. Math. Phys. 106 (2016) 14291449; doi:10.1007/s110050160877z; arXiv:1605.09736 [mathph]
 (with B.G. Pusztai) Lax representation of the hyperbolic van Diejen dynamics with two coupling parameters, Commun. Math. Phys. 354 (2017) 829864; doi:10.1007/s0022001729355; arXiv:1603.06710 [mathph]
 (with L. Fehér) The full phase space of a model in the CalogeroRuijsenaars family, J. Geom. Phys. 115 (2017) 139149; doi:10.1016/j.geomphys.2016.04.018; arXiv:1603.02877 [mathph]
 A simple proof of Sklyanin's formula for canonical spectral coordinates of the rational CalogeroMoser system, SIGMA 12 (2016) 027; doi:10.3842/SIGMA.2016.027; arXiv:1601.01181 [mathph]
 (with L. Fehér) On a PoissonLie deformation of the BC$_n$ Sutherland system, Nucl. Phys. B 901 (2015) 85114; doi:10.1016/j.nuclphysb.2015.10.008; arXiv:1508.04991 [mathph]
 (with L. Fehér) Equivalence of two sets of Hamiltonians associated with the rational BC$_n$ RuijsenaarsSchneidervan Diejen system, Phys. Lett. A 379 (2015) 26852689; doi:10.1016/j.physleta.2015.08.014; arXiv:1503.01303 [mathph]
 On the derivation of Darboux form for the actionangle dual of trigonometric BC$_n$ Sutherland system, J. Phys.: Conf. Ser. 563 (2014) 012012; doi:10.1088/17426596/563/1/012012; arXiv:1410.0301 [mathph]
 (with L. Fehér) Duality between the trigonometric BC$_n$ Sutherland system and a completed rational RuijsenaarsSchneidervan Diejen system, J. Math. Phys. 55 (2014) 102704; doi:10.1063/1.4898077; arXiv:1407.2057 [mathph]
 (with V. Ayadi and L. Fehér) Superintegrability of rational RuijsenaarsSchneider systems and their actionangle duals, J. Geom. Symmetry Phys. 27 (2012) 2744; doi:10.7546/jgsp2720122744; arXiv:1209.1314 [nlin.SI]
Posters
 Elliptic RuijsenaarsSchneider models on the complex projective space, Elliptic Hypergeometric Functions in Combinatorics, Integrable Systems and Physics 2017; [PDF, 519 kB]
 Lax representation of the hyperbolic van Diejen system with two coupling parameters, Integrable Systems Conference at the CSF Ascona 2016; [PDF, 4.4 MB]
 The trigonometric BC$_n$ Sutherland system: actionangle duality and applications, Finite Dimensional Integrable Systems in Geometry and Mathematical Physics 2015; [PDF, 82 kB]
PhD Thesis
Integrable manybody systems of CalogeroRuijsenaars type, 2017; doi:10.14232/phd.3595
arXiv:1705.01333 [mathph];
url: http://doktori.bibl.uszeged.hu/3595/
Bachelor & Master Theses
Lie groups and related algebraic structures, 2010.
Grouptheoretic treatment of integrable systems, 2013.
Scientific Students' Associations Essay
The BC$_n$ Sutherland model of charged particles as the reduction of free particles on Lie group SU$(n+1,n)$, spring 2012.
Textbooks, Supplementary Material (published in Hungarian)
 (with I. Gyémánt) Lineáris algebra fizikusoknak, Polygon Jegyzettár, 2011.
 Lineáris algebra fizikusoknak  Internetes melléklet, 2011.
 Lineáris algebra feladatgyűjtemény, 2011.
Courses
Events
(Conferences, Summer/Winter Schools, Seminars, Workshops)
Upcoming events
2017. July  Finite Dimensional Integrable Systems in Geometry and Mathematical Physics (FDIS 2017) Conference, Centre de Recerca Matematica (CRM) Barcelona, Spain 
Past events

String art
Az alkotások magyar nyelvű weboldala ide kattintva érthető el.