I am a Junior Professor with Tenure Track (CPJ) at the Paul Sabatier University.

From 2017 to 2020, I was a Postdoc in the Villum Centre of Excellence for the Mathematics of Quantum Theory (QMATH) in the Department of Mathematical Sciences at University of Copenhagen. From 2020 to 2022, I was a PostDoc at the Max Planck Institute for Mathematics in the Sciences. From 2022 to 2023, I was a PostDoc in the Computational Complexity group at Saarland University.

I am one of the developers and maintainers of the MultilinearVerse.

### Contact Details:

Address: |
Université Paul Sabatier |

118, route de Narbonne | |

F-31062 Toulouse Cedex | |

France | |

Office: |
Institut de Mathématiques de Toulouse |

Building 1R 2, Office 121 | |

Email: |
fgesmund AT math.univ-toulouse.fr |

### Research Interests:

My areas of study are Algebraic Geometry and Representation Theory, with a focus toward problems originating in Theoretical Computer Science and Quantum Information Theory. Specifically, I work on tensor decomposition problems, a problem which is about "writing complicated objects in a way that is suitable for calculations" and can be interpreted as membership in some classically studied algebraic variety. This links a number of different areas, from classical invariant theory and the polynomial Waring problem, to the problem of determining the complexity of matrix multiplication, and to tensor network representation problems in quantum many-body physics.