Mark Andrea De Cataldo
Mathematics
Freiburg Institute for Advanced Studies
Germany
Biography
Mark Andrea got his Ph.D. in mathematics from the University of Notre Dame in 1995. He has been a postdoc at Washington University in St. Louis, Max Planck Institute for Mathematics in Bonn, Harvard University. He joined the Faculty of Stony Brook University in 1998. His long-term visits include the Institute for Advanced Study (Princeton), the MPI (Bonn), the University of Michigan (Ann Arbor). He works in algebraic geometry, more precisely on the top.ology of algebraic varieties and maps.
Research Interest
His current research focuses on the Support and symmetries for Hitchin fibrations The Hitchin fibration is of fundamental importance in algebraic geometry, number theory and representation theory.
Publications
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The perverse filtration and the Lefschetz Hyperplane Theorem (with L. Migliorini), Annals of Mathematics, Vol. 3, 2010, 2089-2113.
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Topology of Hitchin systems and Hodge theory of character varieties: the case A1 (with T. Hausel and L. Migliorini), Annals of Mathematics 175 (2012), 1329-1407.
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A support theorem for the Hitchin fibration: the case of SL_n, to appear in Compositio math.
