Man

Erdal Emsiz

Associate Professor

Pontificia Universidad Católica de Chile

Santiago, Chile

Líneas de Investigación


Mathematical Physics; Macdonald Polynomials; Quantum Integrable Systems; q-Boson Systems; Symmetric Functions; Representation Theory; Double Affine Hecke Algebras;

Educación

  •  Mathematics, UNIVERSITEIT VAN AMSTERDAM. Holanda, 2006
  •  Mathematics, RIJKS UNIVERSITEIT LEIDEN. Chile, 2001

Experiencia Académica

  •   Assistant professor Full Time

    PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

    Facultad de Matemáticas

    Santiago, Chile

    2011 - 2015

  •   Associate Professor Full Time

    PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

    Facultad de Matemáticas

    Santiago, Chile

    2015 - A la fecha

  •   Postdoc Full Time

    UNIVERSIDAD DE TALCA

    Talca, Chile

    2009 - 2011

  •   Postdoc FONDECYT #3080006 Full Time

    UNIVERSIDAD DE TALCA

    Talca, Chile

    2007 - 2009

  •   Postdoc Full Time

    UNIVERSIDAD DE CHILE

    Talca, Chile

    2007 - 2007

Formación de Capital Humano


Number of master thesis directed: 1.

I co-tutored a Master's student (Gabriel Munñoz Zolotoochin) of the Pontificia Universidad Católica de Chile with his Master's thesis ("Representaciones de grupos e idempotentes de $\mathbb{Q}G$"). He graduated in October 2014.

I am at this moment tutoring an undergraduate student (Pablo Herrera Ortiz) with his undergraduate thesis (Taller de Iniciación Científica).

Graudate mathematics courses teached:

Second semester of 2014: "Algebra II", Pontificia Universidad Católica de Chile.
First semester of 2014: "Algebra I", Pontificia Universidad Católica de Chile.

Undergraduate mathematics courses teached:

First semester of 2015: Álgebra Abstracta 2 and Calculo 2
First semester of 2016: Álgebra Abstracta 2
First semester of 2017: Álgebra Abstracta 2


Premios y Distinciones

  •   Postdoctoral General Member at MSRI

    Mathematical Sciences Research Institute (MSRI), Berkeley

    Estados Unidos, 2008

    Combinatorial Representation Theory Program, January-May 2008. https://www.msri.org/programs/248


 

Article (17)

Orthogonality of Bethe Ansatz Eigenfunctions for the Laplacian on a Hyperoctahedral Weyl Alcove
Spectrum and Eigenfunctions of the Lattice Hyperbolic Ruijsenaars-Schneider System with Exponential Morse Term
Branching formula for Macdonal-Koornwinder polynomials
Difference equation for the Heckman-Opdam hypergeometric function and its confluent Whittaker limit
Integrable Boundary Interactions for Ruijsenaars' Difference Toda Chain
Quantum Integrals for a Semi-Infinite q-Boson System with Boundary Interactions
Diagonalization of the infinite q-boson system
Orthogonality of Macdonald polynomials with unitary parameters
The Semi-Infinite q-Boson System with Boundary Interaction
Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials
Discrete harmonic analysis on a Weyl alcove
A discrete Fourier transform associated with the affine Hecke algebra
Unitary representations of affine Hecke algebras related to Macdonald spherical functions
A Generalized Macdonald Operator
Pieri formulas for Macdonald's spherical functions and polynomials
Completeness of the Bethe ansatz on Weyl alcoves
Trigonometric Cherednik algebra at critical level and quantum many-body problems
15
Jan Felipe van Diejen

Professor

Instituto de Matemáticas

Universidad de Talca

Talca, Chile

17
Erdal Emsiz

Associate Professor

Facultad de Matemáticas

Pontificia Universidad Católica de Chile

Santiago, Chile