“For a multitude of causes, unknown to former times, are now acting with a combined force to blunt the discriminating powers of the mind, and, unfitting it for all voluntary exertion, to reduce it to a state of almost savage torpor. The most effective of these causes are the great national events which are daily taking place, and the increasing accumulation of men in cities, where the uniformity of their occupations produces a craving for extraordinary incident, which the rapid communication of intelligence hourly gratifies.” William Wordsworth, 1800

Michael Thaddeus

Michael Thaddeus

Professor of Mathematics

Department of Mathematics
Columbia University
2990 Broadway
New York, N.Y. 10027

Modern Algebra II, Spring 2017

The Teaching of Mathematics, Spring 2017

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.