ABOUT ME
I am a postdoctoral researcher at 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, in Paris, under the supervision of Bram Petri.
Before that, I was in Barcelona -at the UB-, where I did my bachelor and master, under the supervision of Xavier Massaneda and Joaquím Ortega.
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.
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. To appear 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 - Sept 30, 2025 - Informal workshop on Basics in Teichmüller Theory
Sorbonne Université - Paris, France | Nov 1, 2023 - Feb 20, 2024
TEACHING
T.A. to BSc and MSc students in Mathematics | Sorbonne Université
2023 - 2024
- Topology and Differential Calculus I (Sept 2023 - Jan 2024)
- Master course: Introduction to Teichmüller theory (Jan 2024 - Feb 2024)
2022 - 2023
- Topology and Differential Calculus I (Sept 2022 - Jan 2023)
- Introduction to Probability (Jan 2023 - May 2023)
TALKS
Upcoming
- Swiss Knots
University of Geneva - Geneva, Switzerland | June 4, 2025 - Séminaire de Géométrie et Topologie
Institut de Mathématiques de Toulouse - Toulouse, France | April 15, 2025
Past events
- 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 [at] mis.mpg.de | anna.roig-sanchis [at] imj-prg.fr
Address:MPI für Mathematik in den Naturwissenschaften
Inselstraße 22
04103 Leipzig
Germany