Theses  Dept. of Mathematics
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On the v₁periodicity of the Moore space
(Massachusetts Institute of Technology, 2019)We present progress in trying to verify a longstanding conjecture by Mark Mahowald on the v₁periodic component of the classical Adams spectral sequence for a Moore space M. The approach we follow was proposed by John ... 
Combinatorial incremental problems
(Massachusetts Institute of Technology, 2018)We study the class of Incremental Combinatorial optimization problems, where solutions are evaluated as they are built, as opposed to only measuring the performance of the final solution. Even though many of these problems ... 
Largescale optimization Methods for datascience applications
(Massachusetts Institute of Technology, 2019)In this thesis, we present several contributions of large scale optimization methods with the applications in data science and machine learning. In the first part, we present new computational methods and associated ...