Ludmil Katzarkov

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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.

Selected publications

• Families of K3 surfaces, (with Richard Borcherds et al.) J. Algebraic Geom. 7 (1998),183-193.
• Luttinger surgeries and applications, (with D. Auroux, S. Donaldson), Math. Ann. 326 (2003), 185-203.
• Fundamental groups of complements of plane curves and symplectic invariants, (with D. Auroux, S. Donaldson and M. Yotov), Topology 43 (2004), 1285-1318.
• Mirror symmetry for weighted projective planes and their noncommutative deformations, (with D.Auroux and D. Orlov), Ann. of Math. (2) 167 (2008), 867-943.
• Singular Lefschetz Pencils, (with D. Auroux et al.) Geom. Topol. 9 (2005), 1043-1114.
• Hodge Theoretic aspects of Homological Mirror Symmetry, (with M. Kontsevich and T. Pantev, Proceedings of Symp. of Pure Math., Vol. 78, 2008, pp. ???-???.