Professor Jorgen Rasmussen
Professor

Jorgen Rasmussen

Email: 
Phone: 
+61 7 336 58506

Availability

Professor Jorgen Rasmussen is:
Available for supervision

Fields of research

Algebra and number theory Algebraic structures in mathematical physics Integrable systems (classical and quantum) Mathematical Sciences Mathematical aspects of quantum and conformal field theory, quantum gravity and string theory Mathematical physics Pure mathematics Statistical mechanics, physical combinatorics and mathematical aspects of condensed matter

Qualifications

  • Doctor of Philosophy, University of Copenhagen

Research interests

  • Mathematical physics

  • Conformal field theory

  • Representation theory

  • Integrable systems

  • Diagram and planar algebras

Search Professor Jorgen Rasmussen’s works on UQ eSpace

95 works between 1995 and 2023
All (95) Journal Article (94) Conference Publication (1)

41 - 60 of 95 works

2009

Journal Article

Polynomial fusion rings of W-extended logarithmic minimal models

Rasmussen, Jorgen (2009). Polynomial fusion rings of W-extended logarithmic minimal models. Journal of Mathematical Physics, 50 (4) 043512, 043512.1-043512.46. doi: 10.1063/1.3093265

Polynomial fusion rings of W-extended logarithmic minimal models

2009

Journal Article

W-extended logarithmic minimal models

Rasmussen, Jorgen (2009). W-extended logarithmic minimal models. Nuclear Physics B, 807 (3), 495-533. doi: 10.1016/j.nuclphysb.2008.07.029

W-extended logarithmic minimal models

2009

Journal Article

Geometric exponents, SLE and logarithmic minimal models

Saint-Aubin, Yvan, Pearce, Paul A. and Rasmussen, Jorgen (2009). Geometric exponents, SLE and logarithmic minimal models. Journal of Statistical Mechanics: Theory and Experiment, 2009 (2) P02028, P02028.1-P02028.39. doi: 10.1088/1742-5468/2009/02/P02028

Geometric exponents, SLE and logarithmic minimal models

2008

Journal Article

W-extended fusion algebra of critical percolation

Rasmussen, Jorgen and Pearce, Paul A. (2008). W-extended fusion algebra of critical percolation. Journal of Physics A: Mathematical and Theoretical, 41 (29) 295208, 295208.1-295208.30. doi: 10.1088/1751-8113/41/29/295208

W-extended fusion algebra of critical percolation

2008

Journal Article

Integrable boundary conditions and W-extended fusion in the logarithmic minimal models LM(1,p)

Pearce, Paul A., Rasmussen, Jorgen and Ruelle, Philippe (2008). Integrable boundary conditions and W-extended fusion in the logarithmic minimal models LM(1,p). Journal of Physics A: Mathematical and Theoretical, 41 (29) 295201, 295201.1-295201.16. doi: 10.1088/1751-8113/41/29/295201

Integrable boundary conditions and W-extended fusion in the logarithmic minimal models LM(1,p)

2008

Journal Article

Polynomial fusion rings of logarithmic minimal models

Rasmussen, Jorgen and Pearce, Paul A. (2008). Polynomial fusion rings of logarithmic minimal models. Journal of Physics A: Mathematical and Theoretical, 41 (17) 175210, 175210.1-175210.17. doi: 10.1088/1751-8113/41/17/175210

Polynomial fusion rings of logarithmic minimal models

2007

Journal Article

Fusion algebras of logarithmic minimal models

Rasmussen, Jorgen and Pearce, Paul A. (2007). Fusion algebras of logarithmic minimal models. Journal of Physics A: Mathematical and Theoretical, 40 (45), 13711-13733. doi: 10.1088/1751-8113/40/45/013

Fusion algebras of logarithmic minimal models

2007

Journal Article

Fusion algebra of critical percolation

Rasmussen, Jorgen and Pearce, Paul A. (2007). Fusion algebra of critical percolation. Journal of Statistical Mechanics: Theory and Experiment, 2007 (09) P09002, P09002.1-P09002.15. doi: 10.1088/1742-5468/2007/09/P09002

Fusion algebra of critical percolation

2007

Journal Article

Solvable critical dense polymers

Pearce, Paul A. and Rasmussen, Jorgen (2007). Solvable critical dense polymers. Journal of Statistical Mechanics: Theory and Experiment, 2007 (02) P02015, P02015.1-P02015.32. doi: 10.1088/1742-5468/2007/02/P02015

Solvable critical dense polymers

2007

Journal Article

Jordan cells in logarithmic limits of conformal field theories

Rasmussen, Jorgen (2007). Jordan cells in logarithmic limits of conformal field theories. International Journal of Modern Physics A, 22 (1), 67-82. doi: 10.1142/S0217751X07035136

Jordan cells in logarithmic limits of conformal field theories

2007

Journal Article

On SU(2) Wess-Zumino-Witten models and stochastic evolutions

Rasmussen, Jorgen (2007). On SU(2) Wess-Zumino-Witten models and stochastic evolutions. African Journal of Mathematical Physics, 4 (1), 1.1-1.9.

On SU(2) Wess-Zumino-Witten models and stochastic evolutions

2006

Journal Article

Logarithmic minimal models

Pearce, Paul A., Rasmussen, Jorgen and Zuber, Jean-Bernard (2006). Logarithmic minimal models. Journal of Statistical Mechanics, 2006 (11 Article #P11017) P11017, P11017-P11017. doi: 10.1088/1742-5468/2006/11/P11017

Logarithmic minimal models

2006

Journal Article

On ADE quiver models and F-theory compactification

Belhaj, A., Rasmussen, J., Sebbar, A. and Sedra, M. B. (2006). On ADE quiver models and F-theory compactification. Journal of Physics A: Mathematical and General, 39 (29) 024, 9339-9354. doi: 10.1088/0305-4470/39/29/024

On ADE quiver models and F-theory compactification

2006

Journal Article

Superstring theory on pp waves with ADE geometries

Abounasr, R., Belhaj, A., Rasmussen, J. and Saidi, E. H. (2006). Superstring theory on pp waves with ADE geometries. Journal of Physics A: Mathematical and General, 39 (11), 2797-2841. doi: 10.1088/0305-4470/39/11/015

Superstring theory on pp waves with ADE geometries

2006

Journal Article

Affine Jordan cells, logarithmic correlators, and Hamiltonian reduction

Rasmussen, J. (2006). Affine Jordan cells, logarithmic correlators, and Hamiltonian reduction. Nuclear Physics B, 736 (3), 225-258. doi: 10.1016/j.nuclphysb.2005.12.009

Affine Jordan cells, logarithmic correlators, and Hamiltonian reduction

2005

Journal Article

On logarithmic solutions to the conformal Ward identities

Rasmussen, Jørgen (2005). On logarithmic solutions to the conformal Ward identities. Nuclear Physics B, 730 (3), 300-311. doi: 10.1016/j.nuclphysb.2005.09.014

On logarithmic solutions to the conformal Ward identities

2005

Journal Article

Non-commutative ADE geometries as holomorphic wave equations

Belhaj, Adil, Rasmussen, Jørgen, Saidi, El Hassan and Sebbar, Abdellah (2005). Non-commutative ADE geometries as holomorphic wave equations. Nuclear Physics B, 727 (3), 499-512. doi: 10.1016/j.nuclphysb.2005.08.039

Non-commutative ADE geometries as holomorphic wave equations

2005

Journal Article

On conformal Jordan cells of finite and infinite rank

Rasmussen, J. (2005). On conformal Jordan cells of finite and infinite rank. Letters in Mathematical Physics, 73 (2), 83-90. doi: 10.1007/s11005-005-0001-2

On conformal Jordan cells of finite and infinite rank

2005

Journal Article

Toric Calabi-Yau supermanifolds and mirror symmetry

Belhaj, A., Drissi, L. B., Rasmussen, J., Saidi, E. H. and Sebbar, A. (2005). Toric Calabi-Yau supermanifolds and mirror symmetry. Journal of Physics A: Mathematical and General, 38 (28), 6405-6418. doi: 10.1088/0305-4470/38/28/013

Toric Calabi-Yau supermanifolds and mirror symmetry

2005

Journal Article

On toric geometry, Spin(7) manifolds, and type II superstring compactifications

Belhaj, Adil and Rasmussen, Jørgen (2005). On toric geometry, Spin(7) manifolds, and type II superstring compactifications. Journal of Mathematical Physics, 46 (4) 043511, 043511.1-043511.9. doi: 10.1063/1.1873038

On toric geometry, Spin(7) manifolds, and type II superstring compactifications

Past funding

  • 2021 - 2024
    Towards logarithmic representation theory of W-algebras
    ARC Discovery Projects
    Open grant
  • 2016 - 2020
    Indecomposable representation theory
    ARC Discovery Projects
    Open grant
  • 2012 - 2015
    Representation theory of diagram algebras and logarithmic conformal field theory
    ARC Future Fellowships
    Open grant

Availability

Professor Jorgen Rasmussen is:
Available for supervision

Before you email them, read our advice on how to contact a supervisor.

Available projects

  • Representation theory of infinite-dimensional Lie algebras

    Conformal field theory plays a fundamental role in string theory and in the description of phase transitions in statistical mechanics. The basic symmetries of a conformal field theory are generated by infinite-dimensional Lie algebras including the Virasoro algebra. The representation theory of these algebras is a vast and very active area of research in pure mathematics and mathematical physics. Although reducible yet indecomposable representations are of great importance in logarithmic conformal field theory, relatively little is known about them. This project will examine such representations of the Virasoro algebra, of the affine Kac-Moody algebras and of certain classes of so-called W-algebras.

  • Diagram algebras and integrable lattice models

    Diagram algebras offer an intriguing mathematical environment where computations are performed by diagrammatic manipulations. Applications include knot theory and lattice models in statistical mechanics. Important examples of diagram algebras are the Temperley-Lieb algebras which can be used to describe lattice loop models of a large class of two-dimensional physical systems with nonlocal degrees of freedom in terms of extended polymers or connectivities. This project seeks to develop the representation theory of some of these diagram algebras and to apply the results to the corresponding integrable lattice loop models.

  • Lie superalgebras

    Lie algebras, Lie groups, and their representation theories are instrumental in our description of symmetries in physics and elsewhere. They also occupy a central place in pure mathematics where they often provide a bridge between different mathematical structures. Motivated in part by the proposed fundamental role played by supersymmetry in theoretical physics, Lie superalgebras have been introduced as the corresponding generalisations of Lie algebras. The aim of this project is to study Lie superalgebras, their rich representation theory, and some of their applications.

  • Braid groups

    The mathematical notion of a braid was introduced in the formalisation of objects that model the intertwining of strings in three dimensions. The act of braiding strings is thus described by operators that can be composed to form algebraic structures known as braid groups. These groups naturally play an important role in knot theory and low-dimensional topology, but also in representation theory and mathematical physics. This project concerns the algebraic properties of braid groups, their quotients and generalisations thereof, the associated representation theories, and applications to Yang-Baxter integrable systems where the so-called Temperley-Lieb and BMW algebras are of particular interest.

  • Discrete holomorphicity

    Lattice models are key tools in the analysis of a large class of physical systems in statistical mechanics. The inessential artefacts of the lattice are washed out in the continuum scaling limit. In this limit, many so-called critical lattice models in two dimensions are widely believed to be conformally invariant and admit holomorphic observables. However, this has only been established rigorously in very few cases. A key ingredient in these proofs is the introduction of lattice observables satisfying a discrete form of holomorphicity. This project aims to explore and extend recent breakthroughs on these matters. In a variety of lattice models, it will be examined how discrete complex analysis can be used to understand the emergence of holomorphic observables and how the existence of discrete holomorphicity is related to the notion of Yang-Baxter integrability of the lattice models.

Supervision history

Current supervision

Completed supervision

Enquiries

For media enquiries about Professor Jorgen Rasmussen's areas of expertise, story ideas and help finding experts, contact our Media team:

communications@uq.edu.au