Dominik Wrazidlo
Mathematisches Institut
Heidelberg University Mathematikon Im Neuenheimer Feld 205 69120 Heidelberg |
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I am a member of the research group on Geometry and Topology of Prof. Dr. Markus Banagl.
My research interests are in the fields of differential topology and algebraic topology. I am especially interested in global singularity theory of differentiable maps, and in the study of stratified spaces by topological invariants.
Publications
- Spatial Homology Truncation for Path Connected CW-Complexes, in preparation.
- Detecting Exotic Smooth Structures on Spheres via Indefinite Fold Singularities, in preparation.
- On special generic maps of rational homology spheres into Euclidean spaces, submitted.
Preprint: http://arxiv.org/abs/2009.05928 - Cusp cobordism group of Morse functions, accepted for publication in: Journal of Topology and Analysis.
Preprint: https://arxiv.org/abs/1905.05712 - (with L.F. Müller) The chromatic Brauer category and its linear representations, Applied Categorical Structures 29 (2021), 349-377.
Open Access: https://doi.org/10.1007/s10485-020-09619-5 - On the rational homotopy type of intersection spaces, Journal of Singularities 20 (2020), 251-273.
Free Access: http://www.journalofsing.org/volume20/article11.html - A fundamental class for intersection spaces of depth one Witt spaces, to appear in: manuscripta mathematica.
Open Access: http://link.springer.com/article/10.1007/s00229-020-01238-7 - Singular patterns of generic maps of surfaces with boundary into the plane, in: Singularities - Kagoshima 2017, Proceedings of the 5th Franco-Japanese-Vietnamese Symposium on Singularities (2020), 235-263.
https://doi.org/10.1142/9789811206030_0012 - Standard special generic maps of homotopy spheres into Euclidean spaces, Topology and its Applications 234 (2018), 348-358.
https://doi.org/10.1016/j.topol.2017.11.037