Name 
Agol, Ian 
Location

University of California, Berkeley 
Primary Field

Mathematics 
Election Citation

Agol is a leading researcher in 3dimensional hyperbolic geometry/topology. His results include the proof that hyperbolic 3manifolds are geometrically tame, implying that Ahlfors conjecture about limit sets of Kleinian groups is true, and the remarkable fact that every compact hyperbolic 3manifold is finitely covered by one fibering over the circle. 
Research Interests

Agol's research focusses on 3dimensional topology, principally the study of hyperbolic 3manifolds. One main theme is the interaction of topology and geometry, and the study of 2dimensional surfaces sitting in 3dimensional spaces. He resolved the tameness conjecture of Marden (and by implication the Ahlfors measure conjecture), which was independently resolved by Danny Calegari and David Gabai. In 2012, he announced the solution of the virtual Haken and virtual fibering conjectures (partly in joint work with Daniel Groves and Jason Manning). The resolution of these conjectures followed from a conjecture of Dani Wise in geometric group theory regarding cube complexes and wordhyperbolic groups (in the sense of Mikhail Gromov), and made extensive use of the techniques of Wise and his collaborators. 


