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Jasper Stokman's home page
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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: C3.116
Telephone: +31 20 525 5202
Fax: +31 20 525 5101
Email:
j.v.stokman AT uva.nl.
Research interests
I am an associate professor in mathematics at the KdV institute for Mathematics
(Universiteit van Amsterdam) and affiliate professor at IMAPP
(Radboud Universiteit Nijmegen) occupying the endowed chair
Integrable systems and Lie Theory for one day per week.
My research interests are
-
Lie theory, in particular representation theory of
quantum groups and affine Hecke algebras,
-
Integrable systems,
in particular integrable quantum many body systems
and integrable lattice models,
-
Hypergeometric functions, in particular basic and elliptic
hypergeometric functions associated to root systems,
and their interrelations.
Teaching
-
Second semester 2012-2013: bachelor course Topology. The course information is
on blackboard.
-
Second semester 2012-2013: mastermath course
Semisimple
Lie Algebras
(together with Eric Opdam).
Seminar
I am running a joint
UvA-RU seminar
Elliptic integrable systems and hypergeometric functions together with
Erik Koelink.
Everybody is welcome to participate. If you like to receive email announcements
about the seminar, please let me know.
Meeting dates:
-
Thursday February 7,
Science Park UvA, time 13:00-15:00, room B0.029.
-
Thursday February 28,
Huygensgebouw RU, time 14:00-16:00, room HG00.058.
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Thursday March 21,
Huygensgebouw RU, time 13:00-15:00, room HG00.058.
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Monday April 15,
Science Park UvA, time 13:00-15:00, room D1.112.
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Monday May 13,
Science Park UvA, time 14:30-16:30, room D1.112.
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Friday June 7, Huygensgebouw RU,
time 15:30-17:30, room HG00.058.
- Monday June 24, Science Park UvA,
time 13:00-15:00, room D1.115.
- Friday July 12, Huygensgebouw RU,
time 13:00-15:00, room HG00.058.
Workshop
I am co-organiser of the
Lorentz center workshop
Elliptic integrable systems and hypergeometric functions,
which takes place from July 15 until July 19, 2013.
Publications 2010-present
- Extended trigonometric Cherednik algebras and nonstationary
Schrodinger equations with delta-potentials, J. Math. Phys.
54, 021702 (2013), 20 pp., with
Jonas
T. Hartwig.
- Some remarks on very-well-poised 8phi7 series,
SIGMA Symmetry Integrability Geom. Methods Appl.
8 (2012), Paper 039, 17 pp.
- Quantum affine Knizhnik-Zamolodchikov equations and quantum
spherical functions, I, Int. Math. Res. Not. IMRN
2011, no. 5, 1023-1090.
- Double affine Hecke algebras and bispectral quantum
Knizhnik-Zamolodchikov equations, Int. Math. Res. Not.
IMRN 2010, no. 6, 969-1040, with Michel van Meer.
.
Click here for a complete list of
my publications (pdf).
Preprints
- Reflection quantum Knizhnik-Zamolodchikov equations and Bethe vectors,
arXiv:1305.1113, with
N. Reshetikhin
and B. Vlaar.
- Connection coefficients for basic Harish-Chandra series,
arXiv:1208.6145.
- The c-function expansion of a basic hypergeometric function
associated to root systems,
arXiv:1109.0613.
To appear in Ann. of Math.
Book chapters
Editorships
(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