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Browsing Department of Mathematics by Title
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(Massachusetts Institute of Technology, 2010)The radiation field introduced by Friedlander provides a direct approach to the asymptotic expansion of solutions to the wave equation near null infinity. We use this concept to study the asymptotic behavior of solutions ...
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(American Mathematical Society, 1965)
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(Massachusetts Institute of Technology, 1995)
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(Massachusetts Institute of Technology, 1984)
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(Massachusetts Institute of Technology, 2002)We find and describe the irreducible components of the space of rational curves on moduli spaces M of rank 2 stable vector bundles with odd determinant on curves C of genus g [greater than or equal to] 2. We prove that the ...
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(Massachusetts Institute of Technology, 1993)
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(Massachusetts Institute of Technology, 1971)
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(Massachusetts Institute of Technology, 1969)
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(Massachusetts Institute of Technology, 1976)
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(Massachusetts Institute of Technology, 1966)
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(Massachusetts Institute of Technology, 1997)
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(Massachusetts Institute of Technology, 2003)We examine the regularity properties of solutions to an elliptic free boundary problem, near a Neumann fixed boundary. Consider a nonnegative function u which minimizes the functional ... on a bounded, convex domain ... ...
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(Massachusetts Institute of Technology, 1994)
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(Massachusetts Institute of Technology, 2004)This thesis takes up a program initiated by S. Donaldson and I. Smith aimed at using symplectic Lefschetz fibration techniques to obtain information about pseudoholomorphic curves in symplectic 4-manifolds. Donaldson and ...
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(Massachusetts Institute of Technology, 1972)
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(Massachusetts Institute of Technology, 1996)
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(Massachusetts Institute of Technology, 2004)In this thesis, we first classify the irreducible representations of the rational Cherednik algebras of rank 1 in characteristic p > 0. There are two cases. One is the "quantum" case, where "Planck's constant" is nonzero ...
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(Massachusetts Institute of Technology, 1970)
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(Massachusetts Institute of Technology, 1995)
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(Massachusetts Institute of Technology, 1999)
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