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- > Prof. Dr. Katrin Wendland

Since conformal field theory is at the heart of most of my research projects, the apparent lack of mathematical literature on the subject is problematic. The various approaches to conformal field theory on the market are either not accepted as mathematically sound theories, or their applications in string theory have not been successful, so far. I have therefore developed an axiomatic formulation of conformal field theory, to be presented in a book, which is now close to completion. I have a preliminary contract for publication of this book in the AMS-Series Graduate Studies in Mathematics. Summaries of my approach have already been published:

On the geometry of singularities in quantum field theory

- Proceedings of the International Congress of Mathematicians Hyderabad, August 19-27, 2010
- Hindustan Book Agency (2010), 2144-2170

Mathematical Foundations of Conformal Field Theory and Applications

- Proceedings of the COPROMAPH International School, Cotonou, Benin, October 26 - November 4, 2012, ICMPA-UNESCO Chair, 180-223

- Mathematical Aspects of Quantum Field Theories, D. Calaque and Th. Strobl, eds.
- Mathematical Physics Studies, Springer 2015, pp. 89-129
- arXiv:1404.3108 [hep-th]

K3 en route From Geometry to Conformal Field Theory

- Proceedings of the 2013 Summer School “Geometric, Algebraic and Topological Methods for Quantum Field Theory” in Villa de Leyva, Colombia, World Scientific (2017), pp 75-110
- arXiv:1503.08426 [math.DG]

The Conway Moonshine Module is a Reflected K3 Theory

- accepted for publication by Adv. Theor. Math. Phys.
- arXiv:1704.03813 [hep-th]