Jasper Stokman's home page
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Jasper V. Stokman
Universiteit van Amsterdam
Faculty of Science
Kortewegde Vries
Institute for Mathematics
Visiting address:
Science Park 105107, 3rd floor (entrance via Nikhef)
1098 XG Amsterdam
The Netherlands
Postal address:
P.O.Box 94248
1090 GE Amsterdam
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). I am a member
of the mathematical research cluster
Geometry and Quantum theory
and of the research centre Qusoft.
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. For more information and the schedule please consult
the website of the seminar.
Recent publications
2016.
 Boundary quantum KnizhnikZamolodchikov equations and fusion, Ann. Henri
Poincaré 17 (2016), no. 1, 137177, with
N. Reshetikhin
and B. Vlaar.
2015.
 Connection problems for quantum affine KZ equations and integrable lattice
models, Comm. Math. Phys. 338 (2015), no. 3, 13631409.
 Koornwinder polynomials and the XXZ spin chain, J. Approx. Theory
197 (2015), 69100 (special issue dedicated to the 80th birthday
of Dick Askey), with B. Vlaar.
 Boundary quantum KnizhnikZamolodchikov equations and Bethe vectors,
Comm. Math. Phys. 336 (2015), no. 2, 953986, with
N. Reshetikhin
and B. Vlaar.
2014.
 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.
Preprints
 Integral solutions to boundary quantum KnizhnikZamolodchikov equations,
arXiv:1602.08457,
with N. Reshetikhin
and B. Vlaar.
 On connection matrices of quantum KnizhnikZamolodchikov equations based on
Lie super algebras,
arXiv:1510.04318,
with W. Galleas. To appear in Advanced Studies in Pure Mathematics.
Miscellaneous
 Matching probabilities and loop models, Amsterdam Science no. 3 (2016),
1415 (pdf), with Bernard Nienhuis.

MacdonaldKoornwinder polynomials,
arXiv:1111.6112.
This is a provisional version of a chapter for volume 5 of the
AskeyBateman project. Comments are welcome.

Informal handwritten notes on the 6vertex and dense loop model from the
GQT graduate school course "Quantum integrable systems"
of November 4, 2014.
Editor
PhD students, postdocs, and master students (current and past)
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
Current master students
 Niels Disveld, Nonsymmetric interpolation Macdonald polynomials (master
Mathematics).
 Luuk de Gruijter, Perfect state transfer (double master Mathematics and Physics).
 Emile van der Kuyp, Mathematical crystallography (double master Mathematics and Physics).
 Tijmen Veltman, qOnsager algebra and Heisenberg XXZ spin chain with boundaries
(master Mathematical Physics).
 Milan Wernke, Cluster algebras (master Mathematical Physics).