Research

I'm a permanent researcher at Inria and a member of the DataShape group. I am interested in:

Triangulation of high dimensional manifolds and their generalizations, stratified spaces.
The geometry of sets of positive reach and the medial axis
Topological Data Analysis

I am currently supported by:

The StratMesh project funded by the ANR.

I obtained my PhD in 2015. From 2015 to 2019, I was a postdoc in the Geometrica and then DataShape team, working with Jean-Daniel Boissonnat. From 2019 to 2023 I was a Postdoc in the group of Herbert Edelsbrunner at the IST Austria. While there I was funded by:

An ISTplus fellowship as part of the Marie Skłodowska-Curie Actions
A Lise Meitner Grant from the FWF.

The most up to date overview of my publications is likely to be found via OrcID . I post preprints on HAL .

Selected Publications (Chronological)

Dyer, Vegter & Wintraecken
Riemannian simplices and triangulations. Geometrica Dedicata 179, 91–138 (2015).
doi.org/10.1007/s10711-015-0069-5
Boissonnat, Lieutier & Wintraecken
The reach, metric distortion, geodesic convexity and the variation of tangent spaces. Journal of Applied and Computational Topology 3, 29–58 (2019).
doi.org/10.1007/s41468-019-00029-8
Boissonnat & Wintraecken
The Topological Correctness of PL Approximations of Isomanifolds. Foundations of Computational Mathematics 22, 967–1012 (2021).
doi.org/10.1007/s10208-021-09520-0
Lieutier & Wintraecken
Hausdorff and Gromov‑Hausdorff Stable Subsets of the Medial Axis. STOC ’23.
doi.org/10.1145/3564246.3585113
Attali, Dal Poz Kouřimská, Fillmore, Ghosh, Lieutier, Stephenson, and Wintraecken
Tight Bounds for the Learning of Homotopy à la Niyogi, Smale, and Weinberger for Subsets of Euclidean Spaces and of Riemannian Manifolds SoCG 2024, LIPIcs 293.
doi.org/10.4230/LIPIcs.SoCG.2024.11

Errata:

Erratum for Vegter & Wintraecken , A geometrical take on invariants of low-dimensional manifolds found by integration, Topology and its Applications , doi.org/10.1016/j.topol.2013.09.003

Theses:

My phd thesis and further information on my advisors and assessment committee can be found here.

My Master thesis in Mathematics is titled `Confluence of singular fibers on rational elliptic surfaces' and was written under the advisorship of Hans Duistermaat. This is a short version and this is the talk.