Fields of interest:
Algebraic and Symplectic Geometry, Homological Mirror Symmetry. The main focus of my research is in the above three areas. I apply ideas coming from String theory in order to attack classical problems in Algebraic Geometry.
- Kerr, G. Compactifications of spaces of Landau-Ginzburg models, (Diemer, C.; Katzarkov, L.), Izv. Ross. Akad. Nauk Ser. Mat. 77 (2013), no. 3, 55--76; translation in Izv. Math. 77 (2013), no. 3, 487–508.
- Homological mirror symmetry for punctured spheres, (Abouzaid, Mohammed; Auroux, Denis; Efimov, Alexander I.; Katzarkov, Ludmil; Orlov, Dmitri), J. Amer. Math. Soc. 26 (2013), no. 4, 1051–1083.
- Linear Shafarevich conjecture,(Eyssidieux, P.; Katzarkov, L.; Pantev, T.; Ramachandran, M.), Ann. of Math. (2) 176 (2012), no. 3, 1545–1581.