Keller, Christoph Andreas, Prof. Dr.

Prof. Dr.  Christoph Andreas Keller

Address

ETH Zürich

Dep. of Mathematics 

Prof. Dr. Christoph Andreas Keller

Dep. Mathematik 

HG  G 23.2 

Rämistrasse 101

8092 Zürich

Switzerland

  • phone +41 44 632 41 03 
  • mail
  • vcard www.math.ethz.ch/~kellechr
  • vcard V-Card (vcf, 1kb)

Additional information

Research area

My research is in the mathematical structure of quantum field theory and string theory, and on the interplay between mathematics and physics more generally. As a class of accessible examples, I am particularly interested in conformal field theories (CFT) and vertex operator algebras (VOA) and their applications to physics and mathematics.

On the physics side I have been working on the conformal bootstrap and on the AdS/CFT holography, with a goal of characterising and exploring the space of holographic CFTs. On the mathematics side I am exploring the connection to modular forms, with a particular focus on the growth properties of the Fourier coefficients of such forms in various limits. In a similar spirit I have also worked on old and new moonshines.

Motivated by holography, I am also pursuing the construction of new classes of VOAs with interesting properties, with a particular interest in the large central charge limit. To this end I am investigating the connection to lattices and finite groups, especially permutation groups.

Curriculum Vitae

I did my Ph.D. with Matthias Gaberdiel at ETH Zürich from 2006 through 2008. After that I spent a year as a postdoc at Harvard, three years as a McCone fellow at Caltech, and three years as a postdoctoral researcher at Rutgers University. In 2015 I moved to ETH Zürich.

Course Catalogue

Autumn Semester 2017

Number Unit
401-3177-67L Introduction to Vertex Operator Algebras 
401-5330-00L Talks in Mathematical Physics 

The Group

Ida Zadeh, Christoph Keller, Thomas Gemuenden  
Ida Zadeh, Christoph Keller, Thomas Gemuenden
 
 
Page URL: https://www.math.ethz.ch/research/mathematical-physics/christoph-keller.html
27.07.2017
© 2017 Eidgenössische Technische Hochschule Zürich