Dominik Wrazidlo
Institut für Mathematik
Universität Heidelberg Mathematikon Im Neuenheimer Feld 205 69120 Heidelberg |
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I am a member of the research group in Geometry and Topology of Prof. Dr. Markus Banagl.
My research interests are in the fields of differential topology and algebraic topology. I am studying Singularities in Geometry and Topology from various perspectives, including characteristic classes of complex algebraic varieties, global singularity theory of differentiable maps, and homotopy theory of stratified spaces.
Publications
- (with M. Banagl and J. Schürmann) Topological Gysin Coherence for Algebraic Characteristic Classes of Singular Spaces, preprint.
http://arxiv.org/abs/2310.15042 - (with M. Banagl) The Uniqueness Theorem for Gysin Coherent Characteristic Classes of Singular Spaces, accepted for publication in: J. London Math. Soc.
Open Access: https://doi.org/10.1112/jlms.12823 - A short note on simplicial stratifications, Proceedings of the American Mathematical Society Series B 10 (2023) 195-207.
Open Access: https://doi.org/10.1090/bproc/168 - Cusp cobordism group of Morse functions, Journal of Topology and Analysis 15 (2023) 615-649.
Open Access: https://doi.org/10.1142/S1793525321500485 - On special generic maps of rational homology spheres into Euclidean spaces, Pure and Applied Mathematics Quarterly 19 (2023), 713-730.
https://dx.doi.org/10.4310/PAMQ.2023.v19.n2.a11 - (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 - A fundamental class for intersection spaces of depth one Witt spaces, manuscripta mathematica 166 (2021) 199-236.
Open Access: http://link.springer.com/article/10.1007/s00229-020-01238-7 - On the rational homotopy type of intersection spaces, Journal of Singularities 20 (2020), 251-273.
Free Access: http://www.journalofsing.org/volume20/article11.html - 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