Christoph A. Keller


Visiting Assistant Professor
Email: cakeller (at) math.arizona.edu
Office: MATH 321
Mail: Mathematics Dept, Univ. of Arizona
617 N. Santa Rita Ave.
P.O. Box 210089
Tucson, AZ 85721-0089
Tel: 520-626-8016
Research Interests: My research is in the mathematical structure of quantum field theory and string theory, and on the interplay between mathematics and physics more generally. I use a lot of tools from algebra and group theory. I am particularly interested in conformal field theories (CFT) and vertex operator algebras (VOA) and their applications to physics and mathematics.

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.

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.
Publications: My publications on arXiv and inSPIRE.
Brief CV: 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 became Assistant Professor in Mathematical Physics at ETH Zürich. In 2018 I moved to the University of Arizona. A more detailed CV can be found here.

I am currently on leave of absence from ETH Zürich.
Teaching: At Arizona:
  • Fall 2018: Mathematical Analysis for Engineers (MATH 322)
  • Spring 2018: Calculus II (MATH 129)
At ETH Zürich:
  • Summer 2018: Monstrous and Other Moonshine
  • Fall 2017: Introduction to Vertex Operator Algebras (lecture notes)
  • Spring 2017: Introduction to String Theory
  • Fall 2016: Mathematical Methods of Physics I
  • Spring 2016: Introduction to String Theory (lecture notes)
  • Fall 2015: Monstrous Moonshine