ABOUT ME
I'm an associate professor (maîtresse de conférences) at Université Côte d'Azur, in Nice, since September 2025.
Before that, I was a postdoctoral researcher at the Max Planck Institute for Mathematics in the Sciences (MPI MiS) in Leipzig, in the group of Anna Wienhard , mentored by James Farre . I did my PhD at Sorbonne Université (IMJ-PRG) , in Paris, under the supervision of Bram Petri.
I'm originally from Ibiza (Spain).
My research interests lie in low dimensional geometry and topology, hyperbolic geometry and random geometry. I'm also interested in the combinatorics of triangulations of manifolds and its related graphs. I'm currently working on random hyperbolic 3-manifolds.
Outside mathematics, I'm a typical person; I like spending my time with good company, having good food, in a good weather and with some good music (whatever that means).

RESEARCH
Publications and Prepints:
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The systole of random hypebolic 3-manifolds. Prepint. [Arxiv version]
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The length spectrum of random hypebolic 3-manifolds. In Adv. Math.
This is the [Arxiv version], and here is a video of me talking about this.
Organization
- Geometry seminar
Max Planck Institute for Mathematics (MPI MiS) - Leipzig, Germany | April 1, 2025 - Aug 31, 2025 - Informal workshop on Basics in Teichmüller Theory
Sorbonne Université - Paris, France | Nov 1, 2023 - Feb 20, 2024
TEACHING
2025 - 2026 | Lecturer and T.A. | Université Côte d'Azur
- Mathématiques 0
- Linear algebra CPES
- Introduction to Probability and Statistics
2023 - 2024 | T.A. | Sorbonne Université
- Topology and Differential Calculus I
- Introduction to Teichmüller theory (Master course)
2022 - 2023 | T.A. | Sorbonne Université
- Topology and Differential Calculus I
- Introduction to Probability
TALKS
Upcoming
Past events
- Swiss Knots
University of Geneva - Geneva, Switzerland | June 4, 2025 - Higher rank geometric structures, Higgs bundles and physics
Institut Henri Poincaré (IHP) - Paris, France | May 22, 2025 - Séminaire de Géométrie et Topologie
Institut de Mathématiques de Toulouse - Toulouse, France | April 15, 2025 - Le séminaire virtuel francophone Groupes et Géométrie
Online | Jan 30, 2025 - Séminaire Analyse
Institut de recherche mathématique avancée (IRMA) - Strasbourg, France | Oct 3, 2024 - Séminaire de Géométrie
Aix-Marseille Université - Marseille, France | June 13, 2024 - Conference: "Manifolds and groups in Bologna II"
Università di Bologna - Bologna, Italy | April 18, 2024 - Conference: "Knot Theory Informed by Random Models and Experimental Data"
Banff International Research Station - Banff, Canada | April 2, 2024 - Conference: "Surfaces, Manifolds and Related Topics"
University of Luxemburg - Luxemburg | March 20, 2024 - Graduate geometry colloquium
ETH - Zurich, Switzerland | March 7, 2024 - Spectra and Moduli seminar
Durham University - Durham, UK | Feb 26, 2024 - Conference: "Discrete Mathematics and Probability"
Alfréd Rényi Institute of Mathematics - Budapest, Hungary| Jan 29, 2024 - Conference: KAIST Geometric Topology Fair
University of Busan - Busan, Corea | Jan 19, 2024 - Geometry seminar
Universitat Autònoma de Barcelona - Barcelona, Spain | Dec 5, 2023 - Séminaire: "Les Probabilités de Demain"
Institut Henri Poincaré (IHP) - Paris, France | Nov 15, 2023 - Conference: "Geometry and Probability in, on and at non-Euclidean spaces"
C.I.R.M - Marseille, France | Oct 3, 2023 [Video] - Colloque de Géométrie
Université de Paris Est-Créteil - Créteil, France | April 14, 2023 - Geometry seminar
University of Luxemburg - Luxemburg | March 28, 2023 - Working group: Thin groups
Sorbonne Université - Paris, France | March 24, 2023 - Séminaire de Géométrie et Combinatoire
Sorbonne Université - Paris, France | Feb 21, 2023 - Conference: "Combinatorics of finite-index subgroups"
Institut Henri Poincaré (IHP) - Paris, France | Nov 2, 2022 - Conference: TSW2022
Georgia Tech - Atlanta, US | July 28, 2022 [Slides] - Journée d'équipe ACG
Sorbonne Université - Paris, France | June 16, 2022
CONTACT ME!
Email: Anna.ROIG-SANCHIS [at] univ-cotedazur.fr
Address:Laboratoire J. A. Dieudonné (LJAD)
Université Côte d'Azur
Campus Sciences, Parc Valrose, 28 avenue Valrose
06108 Nice Cedex 02
France