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Dan Fox

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Which mathematical ideas have done most to change history?

When is a closed differential form harmonic relative to some metric?

“Famous” 2d Riemannian manifolds with non-constant curvature

“Noncommutative heat equation” — a strange generalization of Killing vectors for a flat metric

Why symmetric spaces?

Examples of Non-Power Associative Algebras

What is the precise statement of the correspondence between stable Higgs bundles on a Riemann surface, solutions to Hitchin’s self-duality equations on the Riemann surface, and representations of the fundamental group of the Riemann surface?

Conformal structure determined by principal curvatures

basics of classification of trilinear forms (when is it non-discrete)

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dg.differential-geometry× 4
riemannian-geometry× 3
soft-question× 2
symmetric-spaces
smooth-manifolds
riemann-surfaces
reference-request
ra.rings-and-algebras
multilinear-algebra
mp.mathematical-physics

ho.history-overview
gauge-theory
cv.complex-variables
classification
ag.algebraic-geometry
ac.commutative-algebra

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