Browsing Mathematics - Ph.D. / Sc.D. by Title
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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 ...
(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 ...