Jasper Stokman's home page
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Jasper V. Stokman
Universiteit van Amsterdam
Faculty of Science
Kortewegde 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

First semester 20132014: master course
Quantum groups and knot theory
(together with Eric Opdam).

First semester 20132014: Linear Algebra for first year Physics and Astronomy
bachelor students.

Second semester 20132014: second year bachelor course "Topology".

Second semester 20132014: master course "Representation Theory and Integrable
Systems" in Nijmegen (together with Erik
Koelink).
Workshop
I was a coorganiser of the
Lorentz center workshop
Elliptic integrable systems and hypergeometric functions,
which took place from July 15 until July 19, 2013.
Publications 2010present
 Connection coefficients for basic HarishChandra series, Adv. Math.
250 (2014), 351386.
 The cfunction expansion of a basic hypergeometric function associated to
root systems, Ann. of Math. (2) 179 (2014), no. 1, 253299.
 Extended trigonometric Cherednik algebras and nonstationary
Schrodinger equations with deltapotentials, J. Math. Phys.
54, 021702 (2013), 20 pp., with
Jonas
T. Hartwig.
 Some remarks on verywellpoised 8phi7 series,
SIGMA Symmetry Integrability Geom. Methods Appl.
8 (2012), Paper 039, 17 pp.
 Quantum affine KnizhnikZamolodchikov equations and quantum
spherical functions, I, Int. Math. Res. Not. IMRN
2011, no. 5, 10231090.
 Double affine Hecke algebras and bispectral quantum
KnizhnikZamolodchikov equations, Int. Math. Res. Not.
IMRN 2010, no. 6, 9691040, with Michel van Meer.
Click here for a complete list of
my publications (pdf).
Preprints
 Koornwinder polynomials and the XXZ spin chain,
arXiv:1310.5545, with B. Vlaar.
To appear in J. Approx. Theory (special issue dedicated to the 80th birthday
of Dick Askey).
 Reflection quantum KnizhnikZamolodchikov equations and Bethe vectors,
arXiv:1305.1113, with
N. Reshetikhin
and B. Vlaar.
Book chapters
Editorships
(Former) PhD students and postdocs
PhD students
 Kayed AlQasemi (2014present), jointly with
Bernard Nienhuis.
 Michel van Meer (20062010),
PhD thesis "Bispectral quantum KnizhnikZamolodchikov
equations".
 Fokko van de Bult
(20032007), PhD thesis "Hyperbolic hypergeometric functions".
 Erdal Emsiz (20012006), PhD thesis "Affine Weyl Groups and Integrable
Systems with DeltaPotentials" (jointly with
Eric Opdam).
Postdocs