phone: +31 24 3653233
fax: +31 24 3652140
office: Huygens Building, HG 03.737
address: Heyendaalseweg 135, 6525 AJ Nijmegen
e-mail: g.heckman"at"math.ru.nl
Jesse J. Heckman, Rémi Proville, Gert J. Heckman, Alireza Azarfar, Tansu Celikel and Bernhard Englitz:
High-precision spatial localization of mouse vocalizations during social interaction,
Scientific Reports, June 2017.
Gert Heckman and Sander Rieken:
Hyperbolic Geometry and Moduli of Real Curves of Genus Three,
Math. Annalen, 370 (2018), 1321-1360.
Gert Heckman and Lei Zhao:
Angular Momenta of Relative Equilibrium Motions and Real Moment Map Geometry
Invent. Math. 205 (2016), 671–-691.
Gert Heckman and Eric Opdam:
Jacobi Polynomials and Hypergeometric Functions associated with Root Systems
Preprint September 2017. This will be Chapter 8 of Volume 5 (Multivariable Special Functions)
of the new Askey-Bateman project, edited by Tom Koornwinder and Jasper Stokman.
Gert Heckman and Sander Rieken:
Two Lorentzian Lattices
Preprint December 8, 2014.
The first sentence on page 19 in incorrect, as I overlooked the possibility
of codimension 2 intersections of the mirrors with the real form. Therefore
additional work is needed, and for the moment Theorem 5.2 is not yet proved.
Gert Heckman and Sander Rieken:
An Odd Presentation for W(E6)
In: K3 Surfaces and Their Moduli, Progress in Math. 315 (2016), 97-110,
Proceedings of the Schiermonnikoog Conference 2014, Birkhäuser.
Gert Heckman and Maarten van Pruijssen:
Matrix Valued Orthogonal Polynomials for Gelfand Pairs of Rank One
Tohoku Mathematical Journal, 68:3 (2016).
Gert Heckman:
The Allcock Ball Quotient
Pure and Applied Mathematics Quarterly, 11:4 (2015), 655–681.
Gert Heckman and Tim de Laat:
On the Regularization of the Kepler Problem
Journal of Symplectic Geometry, 10:3 (2012), 463-473.
Gert Heckman and Eduard Looijenga:
Hyperbolic Structures and Root Systems
Casimir Force Casimir Operators and the Riemann Hypothesis, de Gruyter (2010), 211-228.
Maris van Haandel and Gert Heckman:
Teaching the Kepler Laws for Freshmen
The Mathematical Intelligencer 31:2 (2009),40-44.
Wim Couwenberg, Gert Heckman and Eduard Looijenga:
On the geometry of the Calogero-Moser system
Indag. Math., N.S., 16 (2005), 443-459.
Wim Couwenberg, Gert Heckman and Eduard Looijenga:
Geometric structures on the complement of a projective arrangement
Publications mathematiques de l'IHES 101 (2005), 69-161.
Gert Heckman and Eduard Looijenga:
The moduli space of rational elliptic surfaces
Algebraic Geometry 2000, Azumino,
Advanced Studies in Pure Mathematics 36 (2002), 185-248.
Gert Heckman:
Quantum integrability of the Kovalevsky top
Indag. Math. NS 9 (1998), 223-246.
Gert Heckman:
Dunkl Operators
Sem. Bourbaki 828, Asterisque 245 (1997), 223-246.
Gert Heckman and Eric Opdam:
Harmonic analysis for affine Hecke algebras
Current developments in Mathematics 1996, Intern. Press (1997), 37-60.
Gert Heckman and Eric Opdam:
Yang's system of particles and Hecke algebras
Ann. of Math. 145 (1997), 139-173.
Gert Heckman:
The volume of hyperbolic Coxeter polytopes of even dimension
Indag. Math. NS 6 (1995), 189-196.
Rogier Brussee, Gert Heckman and Eric Opdam:
Variation on a theme of Macdonald
Math. Z. 208 (1991), 1-10.
Gert Heckman:
An elementary approach to the hypergeometric shift operators of Opdam
Invent. Math. 103 (1991), 341-350.
Gert Heckman:
A remark on the Dunkl differential difference operators
Harmonic Analysis on Reductive Groups,
Proceedings Bowdoin College 1989, Progr. Math. 101,
Birkhauser (1991), 181-191.
Gert Heckman:
Hecke algebras and hypergeometric functions
Invent. Math. 100 (1990), 403-417.
F. Beukers and G. Heckman, Monodromy for the generalized hypergeometric function of Thomae, Invent. math. 95 (1989), 325-354.
Frits Beukers, W. Dale Brownawell and Gert Heckman, Siegel Normailty, Annals of Mathematics 127 (1988), 279-308.
G.J. Heckman, Root Systems and Hypergeometric Functions II, Compositio Mathematica 64 (1987), 353-373.
G.J. Heckman and E.M. Opdam, Root Systems and Hypergeometric Functions I, Compositio Mathematica 64 (1987), 329-352.
Michel Duflo, Gerrit Heckman et Michele Vergne, Projection d'orbites, formule de Kirillov et formule de Blattner, Mém. Soc. Math. France (N.S.) 15 (1984), 65-128.
J.J. Duistermaat and G.J. Heckman, Addendum to "On the Variation in the Cohomology of the Symplectic Form of the Reduced Phase Space", Invent. Math. 72 (1983), 153-158.
J.J. Duistermaat and G.J. Heckman, On the Variation in the Cohomology of the Symplectic Form of the Reduced Phase Space, Invent. Math. 69 (1982), 259-268.
G.J. Heckman, Projections of Orbits and Asymptotic Behavior of Multiplicities for Compact Connected Lie Groups, Invent. Math. 67 (1982), 333-356.
G.J. Heckman,
Projections of Orbits and Asymptotic Behaviour of Multiplicities for Compact Lie Groups,
Ph.D. University of Leiden, 1980.
PhD Gert Heckman
Gert Heckman:
Classical Differential Geometry, spring 2019
Gert Heckman:
Introduction to Riemannian Geometry, spring 2019
Gert Heckman:
Lie theory and Physics, fall 2018
Gert Heckman:
On the Shoulders of Giants, fall 2018
Gert Heckman:
Coxeter Groups, fall 2016
Gert Heckman:
Hypergeometric Functions, fall 2015
Gert Heckman:
Symplectic Geometry, fall 2014
Gert Heckman:
Exercises Complex Functions, spring 2013
Gert Heckman:
Lie algebras in Mathematics and Physics, fall 2009
Gert Heckman:
De Regenboog
Tekst Open Dag, November 2016
Gert Heckman:
In het paradijs van Cantor: spelen met oneindig
Tekst voordracht VWO-leerlingen, April 2016
Gert Heckman:
Escher en de wiskunde van betegelingen
Begeleidende tekst bij een voordracht voor Ars en Mathesis, 17 November 2012
Gert Heckman:
De Slinger van Foucault
Tekst voordracht VWO-leerlingen, Maart 2011
Maris van Haandel, Gert Heckman:
Kepler's wet over ellipsbanen onderwezen uit "Het Boek"
NTvN November 2007, 366-368
Gert Heckman:
In Memoriam Ton Levelt
Nieuw Archief Wiskunde, 2019
Gert Heckman:
Bespreking verzameld werk van Jacques Tits
Nieuw Archief Wiskunde, 2019
Gert Heckman:
Review of the book "Remembering Sofya Kovalevskaya" by M. Audin
Nieuw Archief Wiskunde, 2016
Gert Heckman:
In Memoriam Frans Clauwens
Nieuw Archief Wiskunde, 2012
Gert Heckman:
Hans Duistermaat and Henri Poincaré
Notices of the AMS, 2011
Gert Heckman:
Recollections of Hans Duistermaat
Nieuw Archief Wiskunde, 2010
Sander Rieken, Moduli of real curves of genus three, February 12, 2015: PhD Sander Rieken
Dali Shen, Hyperbolic structures on a toric arrangement complement February 4, 2015 (with Eduard Looijenga): PhD Dali Shen
Maarten van Pruijssen, Matrix Valued Orthogonal Polynomials related to Compact Gelfand Pairs of Rank One, December 19, 2012 (with Erik Koelink and Pablo Roman): PhD Maarten van Pruijssen
Peter Hochs, Quantisation Commutes with Reduction for Cocompact Hamiltonian Group Actions, February 8, 2008 (with Klaas Landsman): PhD Peter Hochs
Wim Couwenberg, Complex Reflections Groups and Hypergeometric Functions, November 21, 1994: PhD Wim Couwenberg
Eric Opdam, Generalized Hypergeometric Functions associated with Root Systems, January 29, 1988
Bert Ruitenburg, Invariant Ideals of Multiplicity Free Algebraic Group Actions, January 13, 1988
Hester Pieters:
Hyperbolic Reflection Groups and the Leech Lattice
Master thesis Hester Pieters, June 2011
Tim de Laat:
Regularization and Quantization of the Kepler Problem
Master thesis Tim de Laat, August 2010
Joris Mooij:
The vibrational spectrum of Buckminsterfullerene
Master thesis Joris Mooij, August 2003
Last modified: August 26, 2013