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Dr habil. Christian Jäkel

Overview

Dr habil. Christian Jäkel Position: Senior Lecturer Email: JaekelCD@cardiff.ac.uk
Telephone: +44(0)29 208 70617
Fax: +44(0)29 208 74199
Extension: 70617
Location: M/2.03

Research Interests

My main research area is mathematical physics, especially mathematical aspects of quantum field theory and statistical mechanics. My early work concentrated on non-relativistic Fermions with (a large class of) pair-interactions, both in and out of equilibrium. In the sequel I turned to relativistic field theory, working in an operator algebraic setting and concentrating on structural aspects like statistical dependence of measurements in spatially separated regions, cluster theorems, phase-space properties encoded in inclusions of operator algebras, and the construction of a quantum field theory at arbitrary temperature if it is given at a fixed temperature. Currently I am working in constructive quantum field theory, lastly on curved space-times. Future work will concentrate on non-equilibrium statistical mechanics.

Research Group

Analysis and Differential Equations

 

Teaching

MA0123 Analysis I

MA0126 Analysis II

MA0346 Quantum Mechanics

MA3003 Groups, Rings and Fields

MA4007 Measure Theory

MA0213 Group Theory (Winter term 2007)

MA0212 Linear Algebra (Summer term 2007)

Operator Algebras (Winter term 2006)

Quantum Statistical Mechanics (Summer term 2001)

General Relativity (Summer term 2001)

Mathematics for Physicists (Part III, Winter term 2000)

Mathematics for Physicists (Part I, Summer term 2000)

Mathematics for Physicists (Part III, Winter term 1999)

Publications

 

Research

Current and Past Collaborators

Joao Barrata , Universidade de Sao Paulo, Brazil

Jürg Fröhlich, ETH Zurich, Switzerland

Christian Gerard , Universite Paris XI (Orsay), France

Günther Hörmann, University Vienna, Austria

Arthur Jaffe , Harvard University

Jens Mund , Juiz de Fora, Brazil

Heide Narnhofer, University Vienna, Austria

Florian Robl, Cardiff University, Wales

Rainer Verch, University Leipzig, Germany

Urs Wiedemann, CERN, Switzerland

Walter Wreszinski, Universidade de Sao Paulo, Brazil

External Funding Since 2000

Leverhulme research grant, "Particle Aspects of Thermal Quantum Fields", Duration: three years, starting April 1, 2009, funded by the Leverhulme Trust.

CONDECYT research network grant between the University of Talca, Chile, and the Operator Algebra Research Group in Italy, approved in November 2007

Fondecyt international visitors research grant (Chile), approved June 2007 .

Fondecyt visitors research grant (Chile), approved March 2007 (this is a four years grant, but it will be prematurely terminated in March 2008).

Visiting Professorship, Univ. de Sao Paulo, awarded by FAPESP (2004-2005)

Marie Curie Individual Fellowship, awarded by the EC (2001-2003)

Major Conference Talks Since 2004

Rigorous QFT in the LHC era, Workshop at the Erwin Schrödinger Institute (ESI), Vienna, Austria, September 20 to October 1, 2011. (together with Christoph Kopper (Ecole Ploytechnique, Palaiseau) and Gandalf Lechner (University of Vienna).

Dynamics of infinite quantum systems, Workshop at the Erwin Schrödinger Institute (ESI), Vienna, Austria, June 1-14, 2009.

"Interacting Quantum Fields on de Sitter space" talk given on joint work with Joao Barata and Jens Mund, XVII Congreso de Matematica Capricornio COMCA 2007, Copiapo, Chile, August 2007;

"Interacting Quantum Fields on de Sitter space" talk given on joint work with Joao Barata and Jens Mund, Conference "Topics in Mathematical Physics", Sao Paulo, Brazil, August 2006;

"The relativistic KMS condition", talk given on joint work with Christian Gerard, Brazilian Operator Conference, Florianopolis, Brazil, July 2006;

"Interacting Quantum Fields on de Sitter space" talk given on joint work with Joao Barata and Jens Mund, Workshop on "Complex Quantum and Classical Systems and Effective Equations", Erwin Schrödinger Institute (ESI), Vienna, Austria, June 2006

Research Visits Since 2004

Harvard University, USA, January 2012
Aarhus University, Denmark, December 2011
Erwin Schrödinger Institut, Vienna, Austria, September 2011
Harvard University, Cambridge, USA, April 2010.
Erwin Schrödinger Institute, Vienna, Austria, July 2009.
Swiss Federal Institute of Technology (ETH Zurich), May 2009.
University of Sao Paulo, Brazil, Dezember 2009 to January 2010.
September 2008: Erwin Schrödinger Institute, Vienna, Austria
May 2008: IHES, Bures-sur-Yvette, France
April 2008: Universidade de Sao Paulo, Brazil
Feb.-March 2008: Harvard University, Cambridge, USA
Dec. 2006-Feb. 2007: IHES, Bures-sur-Yvette, France
June 2006: Erwin Schrödinger Institute, Vienna, Austria
Oct.-Dec. 2005: ETH Zurich, Switzerland
September 2005: Centre de Physique Théorique, Marseille, France
February 2005: Harvard University, Cambridge, USA
March 2005: Erwin Schrödinger Institute, Vienna, Austria
April-July 2004: ETH Zurich, Switzerland

Postgraduate Students

Ph.D. Students

Dr. Florian Robl, Thesis: Relativistic quantum field theory at positive temperature, April 25, 2012.

Final Year project students

Magarete Levi, Project title: Foundations of Modern Analysis, since October 1, 2010

Heledd Iorwerth, Project title: Dynamical Systems, Cardiff University, School of Mathematics (2010)

Sian Halcrow, Project title: Dynamical Systems and Hopf Bifurcation, Cardiff University, School of Mathematics (2009).

Geoffrey Jones, Project title: Divergent series and Borel Summation, Cardiff University, School of Mathematics (2009).

Biography

Msc - University of California at Davis, USA 1989

Mag. rer. nat. - University of Vienna, Austria 1991, Adviser: Prof. W. Thirring

PhD - University of Vienna, Austria 1993, Adviser: Prof. Walter Thirring

Habilitation - LMU Munich, Germany 2004

Previous Positions

2007-2009 Lecturer, School of Mathematics, Cardiff University

2006-2007 Associate Professor, Universidad Talca, Chile

2004-2005 Visiting Professor, Universidade de Sao Paulo, Brazil

2003-2004 Researcher (BAT Ib), LMU Munich, Germany

2001-2003 EC-Marie Curie Individual Fellowship, École Polytechnique, Palaiseau, France

1999-2001 Assistant Professor (Vertrags-Ass.), Theor. Physics, Univ. Innsbruck, Austria

1998-1999 Postdoctoral fellow, TMR-network Operator Algebras and Non Commutative Geometry, Universita di Roma Tor Vergata, Italy

1995-1998 Postdoctoral fellow, University of Vienna, Austria

1993-1995 Erwin Schrödinger fellow of the Austrian Academy of Science, University of Hamburg, Germany