Browsing Mathematics  Ph.D. / Sc.D. by Title
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The tautological classes of the moduli spaces of stable maps to flag varieties
(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 ... 
Teaching, learning, and exploration
(Massachusetts Institute of Technology, 1994) 
Testing and learning Boolean functions
(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 ... 
Testing regression models with residuals as data by Xia Hua.
(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 ... 
Theoretical and numerical analysis of conformal mapping
(Massachusetts Institute of Technology, 1981) 
The theory of commuting Boolean algebras
(Massachusetts Institute of Technology, 1997) 
A theory of shifted Young tableaux
(Massachusetts Institute of Technology, 1984) 
Theta functions and division points on Abelian varieties of dimension two
(Massachusetts Institute of Technology, 1985) 
ThomSebastiani and duality for matrix factorizations, and results on the higher structures of the Hochschild invariants
(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 ... 
Threadwire surfaces
(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 ... 
Threedimensional aerodynamic trajectories
(Massachusetts Institute of Technology, 1952) 
Threedimensional solitary waves in dispersive wave systems
(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 ... 
Tight contact structures on small Seifert spaces
(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 ... 
Topics in linear spectral statistics of random matrices
(Massachusetts Institute of Technology, 2017)The behavior of the spectrum of a large random matrix is a topic of great interest in probability theory and statistics. At a global level, the limiting spectra of certain random matrix models have been known for some time. ... 
Topics in nonlinear filtering theory
(Massachusetts Institute of Technology, 1980) 
Topological Hochschild homology of twisted group algebras
(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 ... 
Topological invariants of symplectic quotients
(Massachusetts Institute of Technology, 1997) 
The topological qexpansion principle
(Massachusetts Institute of Technology, 1996) 
Topology and combinatorics of ordered sets
(Massachusetts Institute of Technology, 1981) 
The topology of Baues complexes and flip graphs
(Massachusetts Institute of Technology, 2017)This thesis contains several results on the connectedness of Baues complexes and flip graphs, which are topological spaces modeling certain sets coming from geometric combinatorics. These sets include the triangulations ...