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This research focuses on advanced mathematical concepts related to Gromov-Witten and Donaldson-Thomas invariants of Calabi-Yau 3-folds. It aims to solve classical problems in enumerative geometry on algebraic surfaces by exploring stable pairs.
The study of Gromov-Witten (GW), Donaldson-Thomas, and stable pair invariants of Calabi-Yau 3-folds X forms an active area of research for geometers and physicists.
These invariants play a central role in string theory and have relations with many branches of mathematics including number theory and representation theory. I am interested in questions of enumerative geometry on algebraic surfaces S.
Invariants of the total space X of the canonical bundle over S can be used to answer classical enu…
UNIVERSITEIT UTRECHT
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