Math

I have a PhD in mathematics. Have a look at my academic CV and arXiv preprints.

My background is in differential geometry and mathematical physics. I specialize in the following areas:

• Symplectic Geometry
• Chern-Simons Theory
• String Topology

My PhD research was on chain models of string topology coming from symplectic geometry (see my PhD thesis and 2022 research plan). I worked with the so called Chern-Simons Maurer-Cartan element that was later defined here. I approached the topic algebraically and gained hands-on experience with the following topics:

• Deformation theory of IBL-infinity algebras
• Sullivan and Poincaré duality models
• Hochschild and cyclic homology
• BV formalism
• Operads

I would like to do research in the following topics as well:

• String field theory and applications of higher algebra in physics.
• Classical and quantum integrability, quantization, semi-classical physics.
• Spinning tops and other concrete Hamiltonian systems.

Miscellaneous Projects

• PhD thesis and slides from defence.
• Proseminar on geometry of curves.
• Mathematica notebook implementing the canonical IBL algebra on cyclic words (defined here).
• Mathematica notebook (and library) demonstrating the search for trajectories with prescribed itineraries near Lyapunov orbits in the 3-body problem.
• Slides from my talks on chain models of string topology coming from symplectic geometry (Berlin, winter 2021).
• Notes from a summer preparatory course for master’s students of mathematical physics (Hamburg, summer 2023).

Links

• I am active on StackExchange.
• Here I collect links to seminars, lectures, and events I attend.
• ArXiv symplectic geometry
• The n-Category Café

Posts (Math)