Erdal Emsiz

Doctor en Matemáticas, Universiteit van Amsterdam, Amsterdam, Holanda, 2006.
Profesor Asociado. Departamento de Matemática.
Oficina 213.
Teléfono 23544465.
eemsiz@mat.puc.cl
http://www.mat.puc.cl/~eemsiz/

Áreas de Investigación

Quantum integrable systems, q-boson systems, representation theory of (double) affine Hecke algebras, quantum groups, Macdonald polynomials associated to root systems and spherical functions,

Publicaciones Seleccionadas

van Diejen J. F., Emsiz E. , Spectrum and eigenfunctions of the lattice hyperbolic Ruijsenaars-Schneider system with exponential Morse term, Annales Henri Poincaré, vol.17:1615-1629,2016.

van Diejen, J. F.; Emsiz, E., Integrable Boundary Interactions for Ruijsenaars' Difference Toda Chain, Communications in Mathematical Physics , vol.337(1):171-189,2015.

van Diejen, Jan Felipe; Emsiz, Erdal, Quantum integrals for a semi-infinite q-boson system with boundary interactions, SIGMA. Symmetry, Integrability and Geometry. Methods and Applications , vol.11,2015.

van Diejen, J. F.; Emsiz, E., Difference equation for the Heckman-Opdam hypergeometric function and its confluent Whittaker limit, Advances in Mathematics , vol.285:1225-1240,2015.

van Diejen, J. F.; Emsiz, E., Branching formula for Macdonald-Koornwinder polynomials, Journal of Algebra , vol.444:606-614,2015.

van Diejen, J. F.; Emsiz, E., Orthogonality of Macdonald polynomials with unitary parameters, Mathematische Zeitschrift , vol.276:517-542,2014.

van Diejen, J. F.; Emsiz, E., Diagonalization of the infinite q-boson system, Journal of Functional Analysis, vol.266:5801-5817,2014.

van Diejen, Jan Felipe; Emsiz, Erdal, The semi-infinite q-boson system with boundary interaction, Letters in Mathematical Physics , vol.104(1):103-113,2014.

Van Diejen, Jan ;Emsiz, Erdal, Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials, Symmetry Integrability and Geometry-Methods and Applications, vol.9,2013.

van Diejen, J. F.; Emsiz, E., Discrete harmonic analysis on a Weyl alcove, Journal of Functional Analysis , vol.265:1981-2038,2013.

van Diejen, Jan; Emsiz, Erdal, A discrete Fourier transform associated with the affine Hecke algebra, Advances in Applied Mathematics, vol.49:24-38,2012.

van Diejen, Jan; Emsiz, Erdal, Unitary representations of affine Hecke algebras related to Macdonald spherical functions, Journal of Algebra , vol.354:180-210,2012.

Emsiz, E. and van Diejen, JF., A generalized macdonald operator, Mathematische Zeitschrift(1157):1-11,2010.

Emsiz, E., Completeness of the bethe ansatz on weyl alcoves., Letters in Mathematical Physics, vol.91(1159):61-70,2010.

Emsiz, E. and van Diejen, F., Pieri formulas for macdonald's spherical functions and polynomials., Mathematische Zeitschrift(1158):1-11,2010.

Emsiz, E. and Opdam EM. and Stokman JV., Trigonometric cherednik algebra at critical level and quantum many-body problems., Selecta Mathematica. New Serie, vol.14(1063):571-605,2009.

Emsiz, E. and Opdam EM. and Stokman JV., Periodic integrable systems with delta-potentials., Communications in Mathematical Physics, vol.264(832):191-225,2006.

Proyectos Seleccionados

Orthogonal Polynomials And Spherical Functions. Zurrián, Ignacio; Emsiz, Erdal. Fondecyt Postdoctorado, 2016

Reglas de Pieri Para Polinomios de Macdonald Asociados a Sistemas de Raíces y en el Super-Espacio. Gatica, Jessica; Emsiz, Erdal. Fondecyt Postdoctorado, 2016

Discretization Of Spin-Particle Systems And Q-Boson Systems With Boundary Interaction. Emsiz, Erdal; van Diejen, Felipe. Fondecyt Regular, 2014

Discrete Integrable Systems Associated With Periodic Spherical Functions. Van Diejen, Jan; Emsiz, Erdal. Fondecyt Regular, 2013

Pieri And Expansion Formulas For Macdonald Spherical Functions And Polynomials. Emsiz, Erdal. Fondecyt Iniciación, 2010

Hecke Algebras And Quantum Integrable Models With Delta-Potentials. Emsiz, Erdal. Fondecyt Postdoctorado, 2008

Cursos Seleccionados

MAT2218 Álgebra Abstracta II 2012 2', 2015 1', 2016 1', 2013 2'
MPG3200 Álgebra I 2014 1'
MAT1203 Álgebra Lineal 2012 2'
MAT210E Cálculo I 2011 1'
MAT1126 Calculo II 2015 1'
MAT1136 Calculo III 2016 2'
MAT1630 Cálculo III 2013 1', 2014 2'
MAT1135 Cálculo III 2011 2'
MAT1640 Ecuaciones Diferenciales 2015 2', 2016 1', 2013 2'

Responsabilidades Administrativas

  • Miembro de la Comisión del Posgrado
  • Co-organizador del Coloquio UC (http://www.mat.uc.cl/seminarios/coloquio-de-matematica-uc.html)
  • Co-organizador del Seminario Charla Informal  (2011-2014)