Christoph A. Keller
Visiting Assistant Professor
|Email:||cakeller (at) math.arizona.edu|
|Mail:|| Mathematics Dept, Univ. of Arizona
617 N. Santa Rita Ave.
P.O. Box 210089
Tucson, AZ 85721-0089
|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.|
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
I am currently on leave of absence from ETH Zürich.