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 105107, 3rd floor (entrance via Nikhef)
1098 XG Amsterdam
The Netherlands
Room number: F3.03
Telephone: +31 20 525 5202
Fax: +31 20 525 5101
Email:
j.v.stokman AT uva.nl.
Research interests
I am a full professor in mathematics (chair Lie theory) at the
KdV Institute for Mathematics
(Universiteit van Amsterdam) and affiliate professor
(endowed chair Integrable systems and Lie theory) at
IMAPP (Radboud Universiteit Nijmegen). 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
Representation Theory seminar
I am running a representation theory seminar together with
Eric Opdam. We regularly meet
on Thursday afternoons (3 pm). For more information and the schedule please consult
the website of the seminar.
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
 Connection problems for quantum affine KZ equations and integrable lattice
models, arXiv:1410.4383. To appear
in Comm. Math. Phys.
 Boundary quantum KnizhnikZamolodchikov equations and fusion,
arXiv:1404.5492,
with N. Reshetikhin
and B. Vlaar. To appear in Annales Henri Poincare.
 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).
 Boundary quantum KnizhnikZamolodchikov equations and Bethe vectors,
arXiv:1305.1113, with
N. Reshetikhin
and B. Vlaar. To appear in Comm. Math. Phys.
Miscellaneous
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