Raphael Senghaas

I work at the intersection of mathematics and theoretical physics, focusing on supersymmetry and mirror symmetry. My research is driven by questions from quantum field theory and string theory that lead to deep connections with algebraic geometry, higher and derived structures, and representation theory.
A central theme in my work is the study of BPS states in supersymmetric theories, which reveal a rich web of structures involving wall-crossing, homological mirror symmetry, stability conditions, and the close relationship between geometry and representation theory.
At a broader level, my research is guided by a simple question: What is the geometry of physics? Modern ideas from derived and higher geometry offer a natural language to explore this question, suggesting a unified geometric framework for understanding symmetries, dualities, and interactions in fundamental physics.
Research Interests
My research interests include, but are not limited to:
- Cluster theory and Wall-crossing of BPS states
- Derived and higher geometry
- Geometric representation theory
- Mirror symmetry
- Spectral and exponential networks
- Supersymmetry and the pure spinor formalism
My broader research interests include the condensed mathematics, geometric Langlands correspondence, topological string theory, and twisted supergravity.



