Former student of the École Normale Supérieure de Cachan (1998-2002). PhD in Mathematics at Université Montpellier (2001-2005). Postdoctoral researcher at Université de Genève and Université de Neuchâtel (2005-2008). Associate professor at Université de Lille (2008-2018). Ramón y Cajal researcher at UAB (2018-2023). Professor titular at UAB since 2023.

Research field: Differential Geometry

Website: https://mat.uab.cat/~fbalacheff/index.html

Quantitative topology in Riemannian and Finsler geometry. Systolic geometry and topology. Convex geometry.

Estructuras y desigualdades geométricas universales (PID2021-125625NB).

The Santaló point for the Holmes-Thompson boundary area. With Gil Solanes and Kroum Tzanev. Advances in Mathematics, Vol. 397 (2022), Paper No. 108118.

The minimal length product over homology bases of manifolds. With Steve Karam and Hugo Parlier. Mathematische Annalen, Vol. 380 (2021), 825-854.

Systolic geometry and simplicial complexity for groups. With Ivan Babenko et Guillaume Bulteau. Journal für die reine und angewandte Mathematik, Vol. 757 (2019), 247-277.

Contact geometry and isosystolic inequalities. With Juan-Carlos Alvarez Paiva. Geometric And Functional Analysis, Vol. 24 (2014), No 2, 648-669.

Diastolic and isoperimetric inequalities on surfaces. With Stéphane Sabourau. Annales Scientifiques de l'École Normale Supérieure, Vol. 43 (2010), No 4, 579-605.