Richard Montgomery

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Name Richard Montgomery
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Seen Apr 30 at 20:40
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Age 56
I'm a professor at UC Santa Cruz currently on sabbatical at MSRI. I work mainly in differential geometry and dynamical systems, notably the classical Newtonian N-body problem. I am starting to dabble in algebraic geometry.
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Singularities of space curves: Open question lists?

sep 13 10 at 6:42 jlk 2,074●9●29

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A K3 over $P^1$ with six singular $A_1$- fibers?

oct 1 11 at 6:52 rita 4,439●1●9●24

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Dodecahedral K3?

oct 1 11 at 2:35 Noam D. Elkies 18.1k●4●62●90

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Space Curves as Determinantal Varieties

nov 9 10 at 7:28 Hailong Dao 15.4k●29●69

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Newton Puiseux expansions for singular surfaces?

jan 2 10 at 14:15 Felipe Voloch 16.6k●2●36●61

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Answers
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What is an integrable system
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2- and 3-body problems when gravity is not inverse-square
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Frobenius Theorem for subbundle of low regularity?
12
Good differential equations text for undergraduates who want to become pure mathematicians
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Where does a math person go to learn quantum mechanics?
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$G_2$ and Geometry
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Geodesics on a Grassmannian
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Varieties cut by quadrics
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G-bundles in classical mechanics (2)
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Probing a manifold with geodesics
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How can generic closed geodesics on surfaces of negative curvature be constructed?
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What manifolds are bounded by RP^odd?
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Two interacting bodies in an external field
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parallel transport along $W^{1,2}$-curves
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How can I conclude that I live in a solar system?
5
Classical analogue of the Stone-von Neumann Theorem?
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Projective Hilbert space: L^2
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What is the role of contact geometry in the hamiltonian mechanics?
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Navier-Stokes equations in riemannian geometry
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easy(?) probability/diff eq. question
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cotangent bundle symplectic reduction and fibre bundles
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Morse-Bott homology for infinite-dimensional manifolds
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Why Lagrangian cobordism?
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Are all parametrizations via polynomials algebraic varieties?
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What kind of Lagrangians can we have? (2)
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Projection of a gradient and the gradient of a projection (2)
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Nonconvex manhole covers
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Walking around Santa Cruz, track around the soccer field
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When do commuting Hamiltonian flows have commuting generators?
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Deformation of Lagrangian manifolds
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