Browsing Theses - Dept. of Mathematics by Title
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Browsing Theses - Dept. of Mathematics by Title
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(Massachusetts Institute of Technology, 1988)
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(Massachusetts Institute of Technology, 1994)
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(Massachusetts Institute of Technology, 2003)We classify a certain class of vertex algebras, finitely generated by a Virasoro field and even (resp. odd) primary fields of conformal weight 1 (resp 3/2). This is the first interesting case to consider when looking at ...
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(Massachusetts Institute of Technology, 1974)
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(Massachusetts Institute of Technology, 2007)We present a general theory for the dynamics of thin viscous sheets. Employing concepts from differential geometry and tensor calculus we derive the governing equations in terms of a coordinate system that moves with the ...
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(Massachusetts Institute of Technology, 2015)We tell the story of the stable homotopy groups of spheres for odd primes at chromatic height 1 through the lens of the Adams spectral sequence. We find the "dancers to a discordant system." We calculate a Bockstein spectral ...
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(Massachusetts Institute of Technology, 1998)
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(Massachusetts Institute of Technology, 2013)The goal of this thesis is to begin to lay the foundations for a theory of enriched [infinity]categories. We introduce a definition of such objects, based on a non-symmetric version of Lurie's theory of [infinity]-operads. ...
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(Massachusetts Institute of Technology, 1991)
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(Massachusetts Institute of Technology, 1996)
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(Massachusetts Institute of Technology, 2010)The theory of Whittaker functions is of crucial importance in the classical study of automorphic forms on adele groups. Motivated by the appearance of Whittaker functions for covers of reductive groups in the theory of ...
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(Massachusetts Institute of Technology, 1979)
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(Massachusetts Institute of Technology, 2000)
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(Massachusetts Institute of Technology, 2016)We develop an analog of the harmonic replacement technique of Colding and Minicozzi in the gauge theory context. The idea behind harmonic replacement dates back to Schwarz and Perron, and the technique involves taking a ...
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(Massachusetts Institute of Technology, 2003)In this thesis, I consider generalisations of geometric stability theory to minimal Lascar Strong Types definable in simple theories. Positively, we show that the conditions of linearity and 1-basedness are equivalent for ...
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