Ivan Smith

Ivan Smith is a British mathematician who studies symplectic topology and how it interacts with algebraic geometry, low-dimensional topology and dynamics. He is a professor at Cambridge University .

Life

Smith studied at Oxford University , where he received his doctorate under Simon Donaldson in 1999 ( Symplectic Geometry of Lefschetz Fibrations ). He is in Cambridge at Gonville & Caius College.

Among other things, Smith derived node invariants from symplectic geometry.

In 2007 he received the Whitehead Prize for his work in symplectic topology (highlighting the breadth of the techniques used in algebraic geometry and topology) and the Adams Prize in 2013 .

Fonts

• with RP Thomas, Shing-Tung Yau : Symplectic conifold transitions , J. Diff. Geom., Vol. 62, 2002, pp. 209-242
• with Kenji Fukaya , Paul Seidel : Exact Lagrangian submanifolds in simply-connected cotangent bundles , Invent. Math., Vol. 172, 2008, pp. 1-27.
• with Denis Auroux : Lefschetz pencils, branched covers and symplectic invariants . In: Symplectic 4-manifolds and algebraic surfaces (Cetraro, 2003), Lect. Notes in Math. 1938, Springer, 2008, 1-53, Arxiv
• with Mohammed Abouzaid : Homological mirror symmetry for the 4-torus , -Duke Math. J., Volume 152, 2010, pp. 373-440, Arxiv
• Floer cohomology and pencils of quadrics , Inventiones Mathematicae, Volume 189, 2012, pp. 149-250, Arxiv
• A symplectic prolegomenon , Bulletin AMS, Volume 52, 2015, pp. 415-464, online
• Quiver algebras as Fukaya categories , Geom. Topol., Volume 19, 2015, 2557-2617, Arxiv
• with Mohammed Abouzaid: Khovanov homology from Floer cohomology , Arxiv 2015
• with Mohammed Abouzaid: The symplectic arc algebra is formal , Duke Math. J., Volume 165, 2016, pp. 985-1060, Arxiv

Web links

• Homepage in Cambridge

Individual evidence

1. ↑ Ivan Smith in the Mathematics Genealogy Project (English)
2. ↑ Whitehead Prize to Smith 2007 (pdf)