Algebraic geometry. Moduli problems and enumerative algebraic geometry. Derived categories, mirror symmetry and Calabi-Yau manifolds.

1. Thomas R, Feyzbakhsh S, “Rank $r$ DT theory from rank $0$”, Duke Mathematical Journal, 2023 http://hdl.handle.net/10044/1/106468
2. Thomas R, Oh J, “Counting sheaves on Calabi-Yau 4-folds, I”, Duke Mathematical Journal, 172 (2023), 1333–1409  
3. Feyzbakhsh S, Thomas R, “Curve counting and S-duality”, Épijournal de Géométrie Algébrique, 7, 1–25  
4. Feyzbakhsh S, Thomas RP, “Rank $r$ DT theory from rank $1$”, Journal of the American Mathematical Society, 36 (2023), 795-826  
5. Tanaka Y, Thomas RP, “Vafa-Witten invariants for projective surfaces I: stable case”, Journal of Algebraic Geometry, 29 (2020):603–668  

• Imperial College London