2007 Clay Research Fellows Announced
The Clay Mathematics Institute announces the appointment of four Research Fellows: Mohammed Abouzaid of the Massachusetts Institute of Technology, Soren Galatius of Stanford University, Davesh Maulik of Princeton University, and Teruyoshi Yoshida of Harvard University. They were selected for their research achievements and their potential to make significant future contributions to the field.
Mohammed Abouzaid, born in 1981, received his Ph.D. in 2007 from the University of Chicacgo under the direction of Paul Seidel. In his thesis Abouzaid used techniques from tropical geometry to give a new approach to the homological mirror symmetry conjecture for toric varieties. He is interested in symplectic topology and its interactions with algebraic geometry and differential topology.
Soren Galatius, born in 1976, is a native of Denmark and received his Ph.D. from the University of Aarhus in 2004 under the direction of Ib Madsen. The focus of his research is in algebraic topology, especially the interplay between stable homotopy theory and geometry. A recent result involves automorphism groups of free groups; he proved that the stable rational homology is trivial.
Davesh Maulik is completing his Ph.D. at Princeton University under the direction of Rahul Pandharipande. His mathematical interests are algebraic geometry and its connections with symplectic geometry, mathematical physics, and combinatorics. His current research focus is in the area of Gromov-Witten theory and enumerative geometry.
Teruyoshi Yoshida completed his Ph.D. at Harvard University last year under the direction of Richard Taylor. Since then he has been a member of the Society of Fellows at Harvard. Yoshida's current mathematical interest is in the interface between automorphic forms and arithmetic algebraic geometry, with much of his work concerned with the geometric structure of Shimura varieties at places of bad reduction.
Current Clay Research Fellows include Artur Avila, Maria Chudnovsky, Boaz Klartag, Ciprian Manolescu, Maryam Mirzakhani, Sophie Morel, Samuel Payne, and David Speyer.