derived categories of twisted sheaves on calabi-yau manifolds
derived categories of twisted sheaves on calabi-yau manifolds
derived categories of twisted sheaves on calabi-yau manifolds
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Acknowledgements<br />
This dissertati<strong>on</strong> would not have existed without the c<strong>on</strong>tinuous effort <str<strong>on</strong>g>of</str<strong>on</strong>g> my advisor,<br />
Mark Gross. Taking me from the stage when doing research in mathematics<br />
seemed impossible to the point <str<strong>on</strong>g>of</str<strong>on</strong>g> writing this finished result required lots <str<strong>on</strong>g>of</str<strong>on</strong>g> hours,<br />
patience, and encouragement, and I want to thank him for this.<br />
Another pers<strong>on</strong> whose effort to give me a mathematical educati<strong>on</strong> is invaluable<br />
is Sorin Popescu, who completed and complemented Mark’s work. Mult¸umesc.<br />
The ragged trajectory <str<strong>on</strong>g>of</str<strong>on</strong>g> the six years that lead to this dissertati<strong>on</strong> has carried<br />
me in numerous places. Am<strong>on</strong>g these I want to particularly thank Cornell (for<br />
being a true alma mater to me), Warwick, Columbia. The Einaudi Center at<br />
Cornell provided generous funding for part <str<strong>on</strong>g>of</str<strong>on</strong>g> my travels to England.<br />
Of course <strong>on</strong>e’s educati<strong>on</strong> (mathematical and otherwise) is the result <str<strong>on</strong>g>of</str<strong>on</strong>g> interacti<strong>on</strong>s<br />
with many more people. S¸tefan Davidovici, Mirel and Luminit¸a Caibăr,<br />
Luis O’Shea and David Tang have made my life better during these six years. The<br />
c<strong>on</strong>versati<strong>on</strong>s with Titus Teodorescu, Tom Bridgeland, T<strong>on</strong>y Pantev, and Miles<br />
Reid have led to many <str<strong>on</strong>g>of</str<strong>on</strong>g> the ideas in this work.<br />
Last, and first, there is my family. Without my wife, Dana, and without my<br />
parents, M<strong>on</strong>ica and Horia, nothing would have been possible. Their c<strong>on</strong>tributi<strong>on</strong><br />
was essential to the existence <str<strong>on</strong>g>of</str<strong>on</strong>g> this work, and I want to thank them for everything.<br />
And then there are those people whose influence can not be traced directly<br />
to this work, but whose ideas and example pervade everything I do. I cannot<br />
overestimate the influence Florian Colceag and Doru Davidovici have had in my<br />
life. I wish I could be like them.<br />
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