Address

Jasper V. Stokman
Universiteit van Amsterdam
Faculty of Science
Korteweg-de Vries Institute for Mathematics
Science Park 904
1098 XH Amsterdam
The Netherlands

Room number: C4.162
Telephone: +31 20 525 5202
Fax: +31 20 525 5101
Email: j.v.stokman AT uva.nl.

• representation theory of quantum groups and affine Hecke algebras,
• quantum integrable systems,
• special functions associated to root systems,

Teaching

• First semester 2011-2012: bachelor course Algebra 3; Representatietheorie.
• First semester 2011-2012: master course Quantum groups and knot theory (together with Eric Opdam).
• First semester 2011-2012 (second block): first year bachelor course Linear Algebra for Physics and Astronomy.

Publications 2009-present

• Quantum affine Knizhnik-Zamolodchikov equations and quantum spherical functions, I, International Mathematical Research Notices (2011) Vol. 2011, pp. 1023-1090.
• Double affine Hecke algebras and bispectral quantum Knizhnik-Zamolodchikov equations, International Mathematical Research Notices (2010) Vol. 2010, pp. 969-1040, with Michel van Meer.
• Reflection equation algebras, coideal subalgebras, and their centres, Sel. Math. New Ser. 15 (2009), pp. 621-664, with Stefan Kolb.
• Trigonometric Cherednik algebra at critical level and quantum many body problems, Sel. Math. New Ser. 14 (2009), pp. 571-605, with Erdal Emsiz and Eric Opdam.
• Book review: Double affine Hecke algebras by Ivan Cherednik, Bull. Amer. Math. Soc. 46 (2009), pp. 143-150, with Eric Opdam.

Click here for a complete list of my publications (pdf).

Preprints

• Extended trigonometric Cherednik algebras and nonstationary Schrodinger equations with delta-potentials, arXiv:1104.5489, with Jonas T. Hartwig.
• The c-function expansion of a basic hypergeometric function associated to root systems, arXiv:1109.0613.
• Macdonald polynomials, arXiv:1111.6112. This is a provisional version of a chapter on Macdonald polynomials for volume 5 of the Askey-Bateman project. Comments are welcome.

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Editorships

• I am a guest editor of the open access journal "Symmetry, Integrability and Geometry: Methods and Applications" (SIGMA) of a special issue on the relationship of orthogonal polynomials and special functions with quantum groups and integrable systems. Deadline for submissions is April 30, 2011.
• I am editor of ISRN Mathematical Analysis, a new peer-reviewed open access journal for research and review articles on mathematical analysis.

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(Former) PhD students and post-docs

• PhD students

  • Michel van Meer (2006-2010), PhD thesis "Bispectral quantum Knizhnik-Zamolodchikov equations".
  • Fokko van de Bult (2003-2007), PhD thesis "Hyperbolic hypergeometric functions".
  • Erdal Emsiz (2001-2006), PhD thesis "Affine Weyl Groups and Integrable Systems with Delta-Potentials" (joint supervision with E. Opdam).

• Post-docs

  • Bart Vlaar (2012-present).
  • Stefan Kolb, 2009-2010.
  • Hendrik de Bie, 2010.
  • Jonas Hartwig, 2008-2010.
  • Chris Field, 2007-2008.
  • Wolter Groenevelt, 2005-2007.

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