Hjalmar Rosengren

Biträdande professor at Chalmers, Mathematical Sciences, Analysis and Probability Theory

The research area of Hjalmar Rosengren is special functions, with an emphasis on relations to other areas such as representation theory, combinatorics, number theory and mathematical physics. During recent years the main focus has been on the eight-vertex model and other elliptic lattice models of statistical mechanics, and their relation to elliptic quantum groups, elliptic hypergeometric functions and algebraic solutions of Painlevé equations.My real homepage is here. My real publication list is here.

Source: chalmers.se

Projects

2016–2019

Matematiken bakom supersymmetriska gittermodeller och supersymmetriska kvantfältteorier

Hjalmar Rosengren Analysis and Probability Theory
Swedish Research Council (VR)

2016–2017

The mathematics of superconformal indicies

Hjalmar Rosengren Analysis and Probability Theory
Knut and Alice Wallenberg Foundation

2011–2013

Algebraic and combinatorial analysis of elliptic lattice models

Hjalmar Rosengren Analysis and Probability Theory
Swedish Research Council (VR)

There might be more projects where Hjalmar Rosengren participates, but you have to be logged in as a Chalmers employee to see them.

Publications

2017

Gustafson-Rakha-Type Elliptic Hypergeometric Series

Hjalmar Rosengren
Symmetry, Integrability and Geometry - Methods and Applications. Vol. 13, p. Article Number: 037-
Journal article
2016

Selberg integrals, Askey-Wilson polynomials and lozenge tilings of a hexagon with a triangular hole

Hjalmar Rosengren
Journal of Combinatorial Theory - Series A. Vol. 138, p. 29-59
Journal article
2016

Elliptic pfaffians and solvable lattice models

Hjalmar Rosengren
Journal of Statistical Mechanics: Theory and Experiment. Vol. 2016 (8), p. artikel nr 083106-
Journal article
2016

Elliptic hypergeometric functions

Hjalmar Rosengren
Preprint
2016

Integral pentagon relations for 3d superconformal indices

I. Gahramanov, Hjalmar Rosengren
String-Math 2014. Vol. 93, p. 167-175
Paper in proceedings
2016

Basic hypergeometry of supersymmetric dualities

Ilmar Gahramanov, Hjalmar Rosengren
Nuclear Physics B. Vol. 913, p. 747-768
Journal article
2015

Special Polynomials Related to the Supersymmetric Eight-Vertex Model: A Summary

Hjalmar Rosengren
Communications in Mathematical Physics. Vol. 340 (3), p. 1143-1170
Journal article
2014

Inclusions of Waterman-Shiba spaces into generalized Wiener classes

Mahdi Hormozi, F. Prus-Wisniowski, Hjalmar Rosengren
Journal of Mathematical Analysis and Applications. Vol. 419 (1), p. 428-432
Journal article
2014

Evaluation modules for the q-tetrahedron algebra

Tatsuro Ito, Hjalmar Rosengren, Paul Terwilliger
Linear Algebra and Its Applications. Vol. 451, p. 107-168
Journal article
2014

Integral pentagon relations for 3d superconformal indices

Hjalmar Rosengren, Ilmar Gahramanov
Preprint
2013

A new pentagon identity for the tetrahedron index

Ilmar Gahramanov, Hjalmar Rosengren
Journal of High Energy Physics (128), p. 1-11
Journal article
2012

New proofs of determinant evaluations related to plane partitions

Hjalmar Rosengren
Electronic Journal of Combinatorics. Vol. 19 (4), p. Paper 15-
Journal article
2011

The three-colour model with domain wall boundary conditions

Hjalmar Rosengren
Advances in Applied Mathematics. Vol. 46 (1-4), p. 481-535
Journal article
2011

Felder's Elliptic Quantum Group and Elliptic Hypergeometric Series on the Root System A(n)

Hjalmar Rosengren
International Mathematics Research Notices (13), p. 2861-2920
Journal article
2009

An Izergin-Korepin-type identity for the 8VSOS model, with applications to alternating sign matrices

Hjalmar Rosengren
Advances in Applied Mathematics. Vol. 43 (2), p. 137-155
Journal article
2008

Schur Q-polynomials, multiple hypergeometric series and enumeration of marked shifted tableaux

Hjalmar Rosengren
Journal of Combinatorial Theory - Series A. Vol. 115 (3), p. 376-406
Journal article
2008

Sums of squares from elliptic pfaffians

Hjalmar Rosengren
International Journal of Number Theory. Vol. 4, p. 873-902
Journal article
2007

Sums of triangular numbers from the Frobenius determinant

Hjalmar Rosengren
Advances in Mathematics. Vol. 208, p. 935-961
Journal article
2007

An elementary approach to 6j-symbols (classical, quantum, rational, trigonometric, and elliptic)

Hjalmar Rosengren
Ramanujan Journal. Vol. 13, p. 133-168
Journal article
2006

Multivariable Christoffel-Darboux kernels and characteristic polynomials of random Hermitian matrices

Hjalmar Rosengren
Symmetry, Integrability and Geometry: Methods and Applications. Vol. 2, p. Paper 085-
Journal article
2006

Elliptic determinant evaluations and the Macdonald identities for affine root systems

Hjalmar Rosengren, Michael Schlosser
Compositio Mathematica. Vol. 142, p. 937-961
Journal article
2006

New transformations for elliptic hypergeometric series on the root system An

Hjalmar Rosengren
Ramanujan Journal. Vol. 12, p. 155-166
Journal article
2005

An elliptic determinant transformation

Hjalmar Rosengren
M. Noumi and K. Takasaki (eds.), Elliptic Integrable Systems, p. 241-246
Conference contribution
2005

On Warnaar's elliptic matrix inversion and Karlsson-Minton-type elliptic hypergeometric series

Hjalmar Rosengren, Michael Schlosser
Journal Of Computational and Applied Mathematics. Vol. 178, p. 377-391
Journal article
2005

Continuous Hahn functions as Clebsch-Gordan coefficients

Hjalmar Rosengren, Erik Koelink, Wolter Groenevelt
M. E. H. Ismail and E. Koelink (eds.), Theory and Applications of Special Functions - A Volume Dedicated to Mizan Rahman, p. 221-284
Paper in proceedings
2005

A bilateral series involving basic hypergeometric functions

Hjalmar Rosengren
M. E. H. Ismail and E. Koelink (eds.), Theory and Applications of Special Functions - A Volume Dedicated to Mizan Rahman, p. 361-366
Paper in proceedings
2004

Reduction formulas for Karlsson-Minton-type hypergeometric functions

Hjalmar Rosengren
Constructive Approximation. Vol. 20, p. 525-548
Journal article
2004

Elliptic U(2) quantum group and elliptic hypergeometric series

Hjalmar Rosengren, Erik Koelink, Yvette van Norden
Communications in Mathematical Physics. Vol. 245, p. 519-537
Journal article
2004

Duality and self-duality for dynamical quantum groups

Hjalmar Rosengren
Algebras and Representation Theory. Vol. 7, p. 363-393
Journal article
2004

Elliptic hypergeometric series on root systems

Hjalmar Rosengren
Advances in Mathematics. Vol. 181, p. 417-447
Journal article
2004

Sklyanin invariant integration

Hjalmar Rosengren
International Mathematics Research Notices. Vol. 2004, p. 3207-3232
Journal article
2003

Karlsson-Minton type hypergeometric functions on the root system Cn

Hjalmar Rosengren
Journal of Mathematical Analysis and Applications. Vol. 281, p. 332-345
Journal article
2003

On a hypergeometric identity of Gelfand, Graev and Retakh

Hjalmar Rosengren, Christian Krattenthaler
Journal of Computational and Applied Mathematics. Vol. 160, p. 147-158
Journal article
2003

Summations and transformations for multiple basic and elliptic hypergeometric series by determinant evaluations

Hjalmar Rosengren, Michael Schlosser
Indagationes Mathematicae. Vol. 14, p. 483-514
Journal article
2002

Transmutation kernels for the little q-Jacobi function transform

Hjalmar Rosengren, Erik Koelink
Rocky Mountain Journal of Mathematics. Vol. 32, p. 703-738
Journal article
2001

A proof of a multivariable elliptic summation formula conjectured by Warnaar

Hjalmar Rosengren
Contemporary Mathematics. Vol. 291, p. 193-202
Journal article
2001

Harmonic analysis on the SU(2) dynamical quantum group

Hjalmar Rosengren, Erik Koelink
Acta Applicandae Mathematicae. Vol. 69, p. 163-220
Journal article