Broadly, my research interests are situated within homotopical (or: higher) algebra, which refers to homotopy theoretical and higher categorical generalisations of classical algebra. Various fields of mathematics are currently applying these types of frameworks with considerable success. This
includes, but is not limited to: Floer Theory, Algebraic Geometry, Arithmetic Geometry, Mathematical Physics, and Type Theory.

Floer Homotopy Theory: More specifically, I am currently interested in homotopy theoretical applications in Floer theory; what is sometimes referred to as Floer Homotopy Theory. The ideas go back to the 90s when Cohen, Jones, and Segal asked the question of whether various types of Floer homology could be upgraded to the homotopy level by constructing stable homotopy types encoding Floer data. My current research involves trying to understand how these Floer homotopy types behave.

Spectral Sequences: Since their conception, spectral sequences have proven to be immensely powerfultools in modern mathematics. One can view them as a generalisation of the concept of an exact sequence, and they are primarily used for the same purpose, namely for computations of homotopy and/or homology groups. I like to think about constructions and structural properties of spectral sequences, such as multiplicative structures and convergence.