Papers

Jun
12
Linking number of grid models

Linking number of grid models

New preprint on random links by Senja Barthel and Yuka Kotorii. We study the linking numbers of random links within
1 min read
Jun
12
The Hopf-Rinow theorem and the Mañé critical value for magnetic geodesics on odd-dimensionl spheres

The Hopf-Rinow theorem and the Mañé critical value for magnetic geodesics on odd-dimensionl spheres

Peter Albers, Gabriele Benedetti, and Levin Maier Abstract The subject of this article are magnetic geodesics on odd-dimensional spheres endowed
1 min read
Apr
04
On the additive image of 0th persistent homology

On the additive image of 0th persistent homology

General audience intro: Persistent homology in multiple parameters takes a topological space filtered in multiple ways as input and produces
3 min read
Jan
12
Scissors congruence K-theory for equivariant manifolds

Scissors congruence K-theory for equivariant manifolds

Mona Merling, Ming Ng, Julia Semikina, Alba Sendón Blanco, Lucas Williams Imagine that you are given a manifold, a pair
1 min read
Dec
03
Understanding mobile particles in solid-state materials

Understanding mobile particles in solid-state materials

A perspective published in Chemistry of Materials by Fabian Schwarz, Senja Barthel, and Amber Mace. Open access DOI:10.1021/
1 min read
Oct
12
Vanishing cycles of symplectic foliations

Vanishing cycles of symplectic foliations

Fabio Gironella, Klaus Niederkrüger, Lauran Toussaint Recent years have shown that the usual generalizations of taut foliations to higher dimensions,
1 min read
Oct
02
Properties of leveled spatial graphs

Properties of leveled spatial graphs

New preprint on leveled embeddings of spatial graphs By Senja Barthel and Fabio Buccoliero. Leveled spatial graphs are studied regarding
Sep
21
The relative cup-length in local Morse cohomology

The relative cup-length in local Morse cohomology

Published in "Topologial Methods in Nonlinear Analysis" Thomas Rot, Maciej Starostka, Nils Waterstraat The relative cup-length in local
2 min read
Sep
04
Signed Barcodes for Multi-parameter Persistence via Rank Decompositions and Rank-Exact Resolutions

Signed Barcodes for Multi-parameter Persistence via Rank Decompositions and Rank-Exact Resolutions

Magnus Bakke Botnan, Steffen Oppermann, Steve Oudot In this paper, we introduce the signed barcode, a new visual representation of
1 min read
Aug
07
Maximal Colourings for Graphs

Maximal Colourings for Graphs

Raffaella Mulas Coming, colours in the air Oh, everywhere She comes in colours —The Rolling Stones, She’s a Rainbow.
1 min read