Browsing Department of Mathematics by Title
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Nearoptimal bin packing algorithms
(Massachusetts Institute of Technology, 1973) 
Negative answers to some positivity questions
(Massachusetts Institute of Technology, 2014)We construct counterexamples to a number of questions related to positivity properties of line bundles on algebraic varieties. The examples are based on studying the geometry of varieties that admit pseudo automorphisms ... 
The NeronTate height and intersection theory on arithmetic surfaces
(Massachusetts Institute of Technology, 1983) 
Never breaking quasiperiodic solutions of weakly nonlinear gas dynamics
(Massachusetts Institute of Technology, 1997) 
New bounds on optimal binary search trees
(Massachusetts Institute of Technology, 2006)Binary search trees (BSTs) are a class of simple data structures used to store and access keys from an ordered set. They have been around for about half a century. Despite their ubiquitous use in practical programs, ... 
A new completely integrable system on the symmetric periodic Toda lattice phase space
(Massachusetts Institute of Technology, 1995) 
A new construction of the Joseph ideal
(Massachusetts Institute of Technology, 1982) 
New examples of four dimensional ASregular algebras
(Massachusetts Institute of Technology, 2005)This thesis deals with ASregular algebras, first defined by Michael Artin and William Schelter in Graded Algebras of Global Dimension 3. All such algebras of dimension three have been classified, but the corresponding ... 
A new framework of iterated forcing along a gap one morass at [omega]1
(Massachusetts Institute of Technology, 1993) 
New progress towards three open conjectures in geometric analysis
(Massachusetts Institute of Technology, 2019)This thesis, like all of Gaul, is divided into three parts. In Chapter One, I study minimal surfaces in R⁴ with quadratic area growth. I give the first partial result towards a conjecture of Meeks and Wolf on asymptotic ... 
New statistical genetic methods for elucidating the history and evolution of human populations
(Massachusetts Institute of Technology, 2014)In the last few decades, the study of human history has been fundamentally changed by our ability to detect the signatures left within our genomes by adaptations, migrations, population size changes, and other processes. ... 
A new structure on Khovanov's homology
(Massachusetts Institute of Technology, 2003)The purpose of this thesis is proving conjectures in [1] on the Khovanov invariant. Khovanov invariant [6] is an invariant of (relatively) oriented links which is a cohomology theory over the cube of the resolutions of a ... 
Nilpotent orbits and multiplictyfree representations
(Massachusetts Institute of Technology, 1994) 
Nilpotent orbits and the affine flag manifold
(Massachusetts Institute of Technology, 1997) 
Nilpotent orbits in bad characteristic and the Springer correspondence
(Massachusetts Institute of Technology, 2010)Let G be a connected reductive algebraic group over an algebraically closed field of characteristic p, g the Lie algebra of G and g* the dual vector space of g. This thesis is concerned with nilpotent orbits in g and g* ... 
Nonarchimedean differential modules and ramification theory
(Massachusetts Institute of Technology, 2009)In this thesis, I first systematically develop the theory of nonarchimedean differential modules, deducing fundamental theorems about the variation of generic radii of convergence for differential modules over polyannuli. ... 
Noncommutative rational double points
(Massachusetts Institute of Technology, 1999) 
Noncommutative ring spectra
(Massachusetts Institute of Technology, 2006)Let A be an Ax ring spectrum. We give an explicit construction of topological Hochschild homology and cohomology of A using the Stasheff associahedra and another family of polyhedra called cyclohedra. Using this construction ... 
Noncommutative ruled surfaces
(Massachusetts Institute of Technology, 1997) 
Noncommutative symmetric functions of type B
(Massachusetts Institute of Technology, 2001)The noncommutative symmetric functions Sym of Gelfand et al. give not only a lifting of the welldeveloped commutative theory of symmetric functions to the noncommutative level, but also relate the descent algebras of ...