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Browsing Theses  Mathematics by Title

Oprea, Dragos Nicolae
(Massachusetts Institute of Technology, 2005)
We study the tautological classes of the KontsevichManin moduli spaces of genus 0 stable maps to SL flag varieties. We prove that the rational cohomology and rational Chow rings of these spaces are isomorphic and that ...

Yin, Yiqun
(Massachusetts Institute of Technology, 1994)

Matulef, Kevin Michael
(Massachusetts Institute of Technology, 2009)
Given a function f on n inputs, we consider the problem of testing whether f belongs to a concept class C, or is far from every member of C. An algorithm that achieves this goal for a particular C is called a property ...

Hua, Xia, Ph. D. Massachusetts Institute of Technology
(Massachusetts Institute of Technology, 2010)
Abstract In polynomial regression ... . In this thesis, I developed a residual based test, the turning point test for residuals, which tests the hypothesis that the kth order polynomial regression holds with ... while the ...

Dubiner, Moshe
(Massachusetts Institute of Technology, 1981)

Yan, Catherine Huafei
(Massachusetts Institute of Technology, 1997)

Worley, Dale Raymond
(Massachusetts Institute of Technology, 1984)

Preygel, Anatoly
(Massachusetts Institute of Technology, 2012)
The derived category of a hypersurface has an action by "cohomology operations" k[[beta]], deg[beta] = 2, underlying the 2periodic structure on its category of singularities (as matrix factorizations). We prove a ...

Stephens, Benjamin K. (Benjamin Keith)
(Massachusetts Institute of Technology, 2006)
This thesis studies surfaces which minimize area, subject to a fixed boundary and to a free boundary with length constraint. Based on physical experiments, I make two conjectures. First, I conjecture that minimizers supported ...

Steeg, Carl W
(Massachusetts Institute of Technology, 1952)

Kim, Boguk, Ph. D. Massachusetts Institute of Technology
(Massachusetts Institute of Technology, 2006)
Fully localized threedimensional solitary waves, commonly referred to as 'lumps', have received far less attention than twodimensional solitary waves in dispersive wave systems. Prior studies have focused in the longwave ...

Wu, Hao, 1975
(Massachusetts Institute of Technology, 2004)
In this thesis, we discuss the relation between the Euler number of a tight contact small Seifert space and the contact framing of Legendrian vertical circles in it, and apply this relation to classify up to isotopy tight ...

Ocone, Daniel
(Massachusetts Institute of Technology, 1980)

Vera, Daniel Joseph
(Massachusetts Institute of Technology, 2006)
Let G be a group and A be a ring. There is a stable equivalence of orthogonal spectra ... between the topological Hochschild homology of the group algebra A[G] and the smash product of the topological Hochschild homology ...

Metzler, David S. (David Scott)
(Massachusetts Institute of Technology, 1997)

Laures, Gerd
(Massachusetts Institute of Technology, 1996)

Walker, James William
(Massachusetts Institute of Technology, 1981)

Anderson, Laura Marie
(Massachusetts Institute of Technology, 1994)

Sabatini, Silvia
(Massachusetts Institute of Technology, 2009)
This thesis primarily consists of results which can be used to simplify the computation of the equivariant cohomology of a GKM space. In particular we investigate the role that equivariant maps play in the computation of ...

Gunnells, Paul E. (Paul Edward)
(Massachusetts Institute of Technology, 1994)