Erdal Emsiz
Associate Professor, Facultad de Matemáticas, Pontificia Universidad Católica de Chile

Facultad de Matemáticas
Pontificia Universidad Católica de Chile
4860, Av. Vicuna Mackenna
Macul, Santiago
Room: 213
Telephone: (+56)(2)23544465
Fax: (+56)(2) 25525916
Email: eemsizATmatXucXcl (X is a dot!)
My Curriculum Vitae


Research interests:

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

Some other interests: Programming, random processes, statistics.


20. J. F. van Diejen, EE & I. N. Zurrián Completeness of the Bethe Ansatz for an open $q$-boson system with integrable boundary interactions, 2016, 31 pages. [PDF]

19. J. F. van Diejen & EE. Branching rules for symmetric hypergeometric polynomials , 2016, 22 pages. (To appear in Advanced Studies in Pure Mathematics). [PDF]

See also the arXiv or its mirror.


18. J. F. van Diejen & EE. Orthogonality of Bethe Ansatz eigenfunctions for the Laplacian on a hyperoctahedral Weyl alcove, Communications in Mathematical Physics 350 (2017), 1017-1067 [PDF]

17. J. F. van Diejen & EE. Spectrum and eigenfunctions of the lattice hyperbolic Ruijsenaars-Schneider system with exponential Morse term. Annales Henri Poincaré 17 (2016), 1615-1629 [PDF]

16. J. F. van Diejen & EE. Branching formula for Macdonald-Koornwinder polynomials. Journal of Algebra 444 (2015), 606-6014 [PDF]

15. J. F. van Diejen & EE. Difference equation for the Heckman-Opdam hypergeometric function and its confluent Whittaker limit. Advances in Mathematics 285 (2015), 1225-1240 [PDF]

14. J. F. van Diejen & EE. Quantum integrals for a semi-infinite q-boson system with boundary interactions. SIGMA 11 (2015), 037, 9 pages [PDF]

13. J. F. van Diejen & EE. Integrable boundary interactions for Ruijsenaars' difference Toda chain. Communications in Mathematical Physics 337 (2015), 171--189 [PDF]

12. J. F. van Diejen & EE. The semi-infinite q-boson system with boundary interaction. Letters in Mathematical Physics 104 (2014), 103--113 [PDF]

11. J. F. van Diejen & EE. Diagonalization of the infinite q-boson system. Journal of Functional Analysis 266 (2014), 5801--5817 [PDF]

10. J. F. van Diejen & EE. Orthogonality of Macdonald polynomials with unitary parameters. Mathematische Zeitschrift 276 (2014), 517--542 [PDF]

9. J. F. van Diejen & EE. Boundary interactions for the semi-infinite q-boson system and hyperoctahedral Hall-Littlewood polynomials. SIGMA 9 (2013), 077, 12 pages [PDF]

8.J. F. van Diejen & EE. Discrete harmonic analysis on a Weyl alcove. Journal of Functional Analysis 265 (2013), 1981--2038 [PDF]

7. J. F. van Diejen & EE. A discrete Fourier transform associated with the affine Hecke algebra. Advances in Applied Mathematics 49 (2012), 24--38 [PDF]

6. J. F. van Diejen & EE. Unitary representations of affine Hecke algebras related to Macdonald spherical functions. Journal of Algebra 354 (2012), 180--210 [PDF]

5. J. F. van Diejen & EE. Pieri formulas for Macdonald's spherical functions and polynomials. Mathematische Zeitschrift 269 (2011), 281--292 [PDF]

4. J. F. van Diejen & EE. A generalized Macdonald operator. International Mathematics Research Notices IMRN 2011 , no. 15 , 3560--3574 [PDF]

3. EE. Completeness of the Bethe ansatz on Weyl alcoves. Letters in Mathematical Physics 91 (2010), 61--70 [PDF]

2. EE, E. M. Opdam & J. V. Stokman. Trigonometric Cherednik algebra at critical level and quantum many-body problems. Selecta Mathematica 14 (2009), 571--605 [PDF]

1. EE, E. M. Opdam & J. V. Stokman. Periodic integrable systems with delta-potentials. Communications in Mathematical Physics 264 (2006), 191--225 [PDF]

For reviews of my published papers see MathSciNet or Zentralblatt.

Recent conferences, workshop and meetings:

* PRIMA third congress, Oaxaca, Mexico, August 14-18, 2017

* XXX Jornada de Matemática de la zona sur, Concepción, Chile, Abril 26-28, 2017

* Algebra and Geometry Seminar, Università di Roma "La Sapienza", Roma, Italia, September 21, 2016

* COMCA 2016 - XXV Congreso de Matemáticas Capricornio (COMCA), Universidad Católica del Norte, Antofagasta, Chile, Agosto 2-5, 2016

* Congreso Latinoamericano de Matemáticos (CLAM), Universidad del Norte, Barranquilla, Colombia, Julio 11-15, 2016 (canceled for personal reasons)

* Coloquios del Departamento de Matemática, Universidad Nacional de La Plata, La Plata, Argentina, Abril 18, 2016

* Mathematical Physics Seminar, University of Stockholm and KTH, Sweden, February 10, 2016

* Geometry Seminar at Radboud Universiteit Nijmegen, The Netherlands, February 4, 2016

* Coloquio del CIEM, FAMAF, Univ. Nac. de Córdoba, Argentina, September 9, 2015

* XVIIIth International Congress on Mathematical Physics , Santiago, Chile, July 27 - August 1, 2015

* The 13th International Symposium on Orthogonal Polynomials, Special Functions and Applications (OPSFA-13) , June 1-5, 2015, National Institute of Standards and Technology (NIST), Gaithersburg, Maryland, USA

* Jornada de Matemática de la Zona Sur 2015 , Abril 11-24, 2015, Termas de Chillán, Chillán, Chile

* LXXXIII Encuentro Anual de la Sociedad de Matemática de Chile , Termas de Quinamávida, Linares, del 4 al 6 de Diciembre de 2014. Si trabajas en Física Matemática y estas interesado en dar una charla en el encuentro entonces por favor póngase en contacto conmigo.

* International Conference Spectral Theory and Mathematical Physics, Santiago de Chile, 24 - 28 November 2014

* Exact Solvability and Symmetry Avatars, Conference held on the occasion of Luc Vinet's 60th birthday. August 25-29, 2014, Centre de recherces mathemématiques, Montréal, Canada

* From Macdonald Processes to Hecke Algebras and Quantum Integrable Systems , Institut Henri Poincaré, May 26-30, 2014, Paris, France

Coloquio General:

Giancarlo Úrzua y yo organizamos el Coloquio de Matemática UC.


* Véase LABMAT (intranet)


* Jan Felipe van Diejen: ResearchGate page and Google Scholar page

* Marina Gerosa's drawings and illustrations

* Amsterdam Tours With Dushka
(In case you are ever in Amsterdam and would like to know new, charming, old and inspiring places in Amsterdam under the guidance of an expert and nice guide!)

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