Browsing Department of Mathematics by Title
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Unitarizing highenergy scattering amplitudes in YangMills theory
(Massachusetts Institute of Technology, 1978) 
Unitary representations of rational Cherednik algebras and Hecke algebras
(Massachusetts Institute of Technology, 2010)We begin the study of unitary representations in the lowest weight category of rational Cherednik algebras of complex reflection groups. We provide the complete classification of unitary representations for the symmetric ... 
Unitary representations of U (p,q) and generalized RobinsonSchensted algorithms
(Massachusetts Institute of Technology, 1998) 
Universal polynomials in lambda rings and the Ktheory of the infinite loop space tmf
(Massachusetts Institute of Technology, 2006)The algebraic structure of the Ktheory of a topological space is described by the more general notion of a lambda ring. We show how computations in a lambda ring are facilitated by the use of Adams operations, which are ... 
Unramified elliptic units
(Massachusetts Institute of Technology, 1993) 
The unramified principal series of padic groups : the Bessel function
(Massachusetts Institute of Technology, 2014)Let G be a connected reductive group with a split maximal torus defined over a nonarchimedean local field. I evaluate a matrix coefficient of the unramified principal series of G known as the "Bessel function" at torus ... 
Unstable chromatic homotopy theory
(Massachusetts Institute of Technology, 2015)In this thesis, I study unstable homotopy theory with chromatic methods. Using the v, self maps provided by the HopkinsSmith periodicity theorem, we can decompose the unstable homotopy groups of a space into its periodic ... 
Unstable operations in the BousfieldKan spectral sequence for simplicial commutative FF₂algebras
(Massachusetts Institute of Technology, 2015)In this thesis we study the BousfieldKan spectral sequence (BKSS) in the Quillen model category sCom of simplicial commutative FF₂ algebras. We develop a theory of unstable operations for this BKSS and relate these ... 
Uses of randomness in algorithms and protocols
(Massachusetts Institute of Technology, 1989) 
A van Kampen spectral sequence for higher homotopy groups
(Massachusetts Institute of Technology, 1988) 
Vector valued Poisson transforms on Riemannian symmetric spaces
(Massachusetts Institute of Technology, 1994) 
Vertex algebras generated by primary fields of low conformal weight
(Massachusetts Institute of Technology, 2003)We classify a certain class of vertex algebras, finitely generated by a Virasoro field and even (resp. odd) primary fields of conformal weight 1 (resp 3/2). This is the first interesting case to consider when looking at ... 
Vibrations and instabilities of a disk galaxy with modified gravity.
(Massachusetts Institute of Technology, 1974) 
Viscous fluid sheets
(Massachusetts Institute of Technology, 2007)We present a general theory for the dynamics of thin viscous sheets. Employing concepts from differential geometry and tensor calculus we derive the governing equations in terms of a coordinate system that moves with the ... 
The v₁periodic part of the Adams spectral sequence at an odd prime/
(Massachusetts Institute of Technology, 2015)We tell the story of the stable homotopy groups of spheres for odd primes at chromatic height 1 through the lens of the Adams spectral sequence. We find the "dancers to a discordant system." We calculate a Bockstein spectral ... 
Walking droplets confined by applied or topographicallyinduced potentials : dynamics and stability
(Massachusetts Institute of Technology, 2018)In 2005, Yves Couder and coworkers discovered that a millimetric droplet of silicone oil may walk on the surface of a verticallyvibrating fluid bath, displaying features that were once thought to be peculiar to quantum ... 
Wavelets and PDEs : the improvement of computational performance using multiresolution analysis
(Massachusetts Institute of Technology, 1998) 
Weakly enriched higher categories
(Massachusetts Institute of Technology, 2013)The goal of this thesis is to begin to lay the foundations for a theory of enriched [infinity]categories. We introduce a definition of such objects, based on a nonsymmetric version of Lurie's theory of [infinity]operads. ... 
Weakly nonlinear surface waves in a ferrofluid
(Massachusetts Institute of Technology, 1991) 
Weight varieties
(Massachusetts Institute of Technology, 1996)