Keller, Christoph Andreas, Prof. Dr.

Prof. Dr.  Christoph Andreas Keller


ETH Zürich

Dep. of Mathematics 

Prof. Dr. Christoph Andreas Keller

Dep. Mathematik 

HG  G 23.2 

Rämistrasse 101

8092 Zürich


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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
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