Philippe Mathieu
Visiting Assistant Professor
M.S., AixMarseille Universite, Marseille., 2015
PhD, Laboratory of AnnecyleVieux of Theoretical Physics, 2018
Email: pmathieu@nd.edu
Office: 108 HayesHealy Bldg
Phone: (574) 6318706
Fax: (574) 6316579
Mailing Address:
255 Hurley Bldg
Notre Dame, IN 465564618
Research Interests
I am interested in quantum field theory which remains illdefined in many ways. During my PhD I focused on U(1) ChernSimons and BF theories in the formalism of the path integral and established new connections with ReshetikhinTuraev and TuraevViro quantum invariants. I would like now to understand the relation between the operator approach and the functional integral approach of those theories. I want also to extend my views to conformal field theory and noncommutative geometry.
Selected Publications

Mathieu, Ph. and Thuillier, F. (2016a). Abelian BF theory and TuraevViro invariant. Journal of Mathematical Physics, 57.

Mathieu, Ph. and Thuillier, F. (2016b). A reciprocity formula from abelian BF and Turaev–Viro. Nuclear Physics B, 912:327–353.

Mathieu, Ph. and Thuillier, F. (2017). Abelian TuraevVirelizier theorem and U(1) BF surgery formulas. Journal of Mathematical Physics, 58.

Guadagnini, E., Mathieu, Ph., and Thuillier, F. (2017). Flat connections in threemanifolds and classical ChernSimons invariant. Nuclear Physics B, 925:536–559.

Gallot, L., Mathieu, Ph., Pilon, E., and Thuillier, F. (2018). Geometric aspects of interpolating gaugefixing in ChernSimons theory. Modern Physics Letters A, 33(2).
Please direct questions and comments to: pmathieu@nd.edu