Michael ThaddeusAssociate Professor of Mathematics

Algebraic Geometry, Spring 2015
Columbia Algebraic Geometry Seminar
Slides from lecture at AGNES, April 27, 2014
Lecture notes from the 2005 AMS Summer Institute on Algebraic Geometry in Seattle
Papers (mostly, but not entirely, available from ArXiv.org):
Variations on a theme of Grothendieck (with Johan Martens)
On nonabelian symplectic cutting (with Johan Martens)
Compactifications of reductive groups as moduli stacks of bundles (with Johan Martens)
Resolving toric varieties with Nash blowups (with Atanas Atanasov, Christopher Lopez, Alexander Perry, Nicholas Proudfoot)
Mirror symmetry, Langlands duality, and the Hitchin system (with Tamás Hausel)
Examples of mirror partners arising from integrable systems (with Tamás Hausel)
Mirror symmetry, Langlands duality, and commuting elements of Lie groups
Variation of moduli of parabolic Higgs bundles
Relations in the cohomology ring of the moduli space of rank 2 Higgs bundles (with Tamás Hausel)
Generators for the cohomology ring of the moduli space of rank 2 Higgs bundles (with Tamás Hausel)
A perfect Morse function on the moduli space of flat connections
Complete collineations revisited
On the quantum cohomology of a symmetric product of an algebraic curve (with Aaron Bertram)
An introduction to the topology of the moduli space of stable bundles on a Riemann surface
Geometric invariant theory and flips
Stable pairs, linear systems and the Verlinde formula
Conformal field theory and the cohomology of the moduli space of stable bundles
Publication data may be found in my entry on MathSciNet.