# 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)

[Apr 07, 2023] | Canonical IBL algebra on cyclic words in Wolfram Mathematica |

[Aug 25, 2021] | Measuring land tax in old Egypt |

[Apr 29, 2021] | My university theses |

[Apr 29, 2021] | Proseminar on geometry of curves |