“The world is as young today, as when it was created...Nor has Nature been all over ransacked by our progenitors, so that no new charms and mysteries remain for this latter generation to find. Far from it. The trillionth part has not yet been said, and all that has been said, but multiplies the avenues to what remains to be said.” Herman Melville

Michael Thaddeus

Michael Thaddeus

Associate Professor of Mathematics

Department of Mathematics
Columbia University
2990 Broadway
New York, N.Y. 10027
212-854-4308
thaddeus@math.columbia.edu

The Teaching of Mathematics, Spring 2016

Honors Mathematics A, Fall 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

Old Directories of Classes

Papers (mostly, but not entirely, available from ArXiv.org):

Variations on a theme of Grothendieck (with Johan Martens)

On non-abelian symplectic cutting (with Johan Martens)

Compactifications of reductive groups as moduli stacks of bundles (with Johan Martens)

Resolving toric varieties with Nash blow-ups (with Atanas Atanasov, Christopher Lopez, Alexander Perry, Nicholas Proudfoot)

Floer cohomology with gerbes

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

Toric quotients and flips

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.