Michael Bleher

Physics, Maths, and Science.

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Mathematikon 02/232

Im Neuenheimer Feld 205

69120 Heidelberg

Hi, I’m a Postdoc based at the Institute for Mathematics, Heidelberg University, and associated with STRUCTURES.

I recently finished my PhD in Mathematical Physics on connections between topologically twisted supersymmetric field theories, Floer theories, and knot homologies under the supervision of Johannes Walcher.

Currently, I’m switching gears and my new project revolves around geometric neighbour embeddings, with the ultimate goal of extracting dynamical information from single cell RNA velocity data during cell differentiation. This research is part of the Applied Analysis and Modelling in Biosciences group of Anna Marciniak-Czochra and developed in collarboration with Anna Wienhard at the MPI MiS.

In general, I’m fascinated by the unreasonable effectiveness of abstract mathematics in the natural sciences and vice versa. I’m always happy to chat about new examples!

news

Jan 3, 2025 New preprint: Adiabatic Solutions of the Haydys-Witten Equations and Symplectic Khovanov Homology! This is a slightly modified version of the final chapter of my PhD thesis, uploaded as an independent document for easier reference.
Dec 19, 2024 New preprint: A family of instanton-invariants for four-manifolds and their relation to Khovanov homology! This is a slightly modified version of the background chapter of my PhD thesis, uploaded as an independent document for easier reference.
Dec 1, 2024 Will be talking about my view on Persistence and Coarse-Graining in Dynamical Biological Systems at the MPI for molecular cell biology and genomics, Dec 12, Dresden.
Aug 30, 2024 This has been a fun little diversion: My Academic Family
Jul 15, 2024 Happy to be accepted for a contributed talk about our TDA work on the evolution of SARS-CoV-2 at the 4th workshop on Computational Persistence, Sep 23 to Sep 27, TU Graz.