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, 2004)We define a moduli functor parametrizing finite maps from a projective (locally) Cohen-Macaulay curve to a fixed projective space. The definition of the functor includes a number of technical conditions, but the most ...
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(Massachusetts Institute of Technology, 2007)In this thesis a conjecture of Okounkov, a conjecture of Fomin-Fulton-Li-Poon, and a special case of Lascoux-Leclerc-Thibon's conjecture on Schur positivity of certain differences of products of Schur functions are proved. ...
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(Massachusetts Institute of Technology, 1991)
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(Massachusetts Institute of Technology, 2002)This thesis details a new vantage point for attacking longstanding problems in machine learning. We use tools from computational complexity theory to make progress on problems from computational learning theory. Our methods ...
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(Massachusetts Institute of Technology, 2006)This is an exposition of the Compression Theorem of Colin Rourke and Brian Sanderson, which leads to a new proof of the Immersion Theorem.
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(Massachusetts Institute of Technology, 2003)This thesis is concerned with the study of the noise sensitivity of boolean functions and its applications in theoretical computer science. Noise sensitivity is defined as follows: Let f be a boolean function and let ... ...
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(Massachusetts Institute of Technology, 1995)
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(Massachusetts Institute of Technology, 2006)We begin by present a new Hopf algebra which can be used to compute the tmf homology of a space or spectrum at the prime 3. Generalizing work of Mahowald and Davis, we use this Hopf algebra to compute the tmf homology of ...
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(Massachusetts Institute of Technology, 1973)
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(Massachusetts Institute of Technology, 2011)Training, Research, Isotopes, General Atomics (TRIGA) reactors have the unique capability of generating high neutron flux environments with the removal of a transient control rod, creating conditions observed in fast fission ...
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(Massachusetts Institute of Technology, 1982)
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(Massachusetts Institute of Technology, 1992)
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(Massachusetts Institute of Technology, 2013)In this dissertation we apply computer-assisted proof techniques to two problems, one in discrete geometry and one in celestial mechanics. Our main tool is an effective inverse function theorem which shows that, in favorable ...
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(Massachusetts Institute of Technology, 1980)
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(Massachusetts Institute of Technology, 1989)
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(Massachusetts Institute of Technology, 2009)Using the tools developed by Colding and Minicozzi in their study of the structure of embedded minimal surfaces in R3 [12, 19-22], we investigate the conformal and asymptotic properties of complete, embedded minimal surfaces ...
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(Massachusetts Institute of Technology, 2011)For an algebraic group G and a projective curve X, we study the category of D-modules on the moduli space Bung of principal G-bundles on X using ideas from conformal field theory. We describe this category in terms of the ...
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(Massachusetts Institute of Technology, 2004)In this thesis we use gravitational lensing statistics to constrain the QSO luminosity function at a variety of redshifts. We present a theoretical discussion of gravitational lensing statistics and illustrate how high ...
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(Massachusetts Institute of Technology, 1965)
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(Massachusetts Institute of Technology, 1976)
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