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Mathematical Tripos, Part III, 2000: Notice by the Examiners

In accordance with Regulations 17 and 18 for the Mathematical Tripos (Statutes and Ordinances, p. 319), the Examiners give notice that a candidate may submit an essay on any one of the following topics:

Elliptic Curves with Complex Multiplication
Descent Theory on Elliptic Curves, Illustrated by the 3 Curves of Conductor 11
Euler Characteristics of Profinite Groups
Analysis of a Large and Complex Data Set
Quantum Entropy
Quantum Codes and Channels
Congestion Control for the Internet
Rearranged Fourier Series
Hilbert's Thirteenth Problem
Shrinkage Estimators
Young Tableaux and Modular Representations of Symmetric Groups
Representations of Quivers
Polynomial Representations of General Linear Groups
Group Cohomology and Representations of Finite Groups
Set Theory without the Axiom of Foundation
Surface Classifications and Geography
Mixed Poisson Distributions
Mathematical Theory of Wavelets
Covering Space Techniques in Knot Theory
Random Matrices
Gaussian Processes
Heat Flow in a Rough Medium
Homogenization
Mathematical Models for Coagulation and Coalescence
The Michael Conjecture and Entire Functions of Several Complex Variables
Vector Bundles on K3 Surfaces and the Fourier-Mukai Transform
The Hilbert Scheme of Points on Algebraic Surfaces
Algebraic Curves in Projective 3-space: from Castelnuovo to Mukai
Comparison Methods in Riemannian Geometry
Pseudoholomorphic Curves in Symplectic Manifolds
Isospectral Riemann Surfaces
Hodge and deRham in Characteristic p
Exotic 7-spheres
Non-abelian Hodge Theory
Allegories
Model Theory
Finite Model Theory and Complexity
Realizability Models
The Kakeya Problem and Harmonic Analysis
Canonical Ramsey Theory
Weyl Algebras
Isoperimentric Inequalities and Dehn Functions for Group Presentations
Groups of Piecewise Linear Homeomorphisms of the Real Line
Braid Groups
Epidemic Models
Chen-Stein Method for Convergence of Distributions
Imperfect and/or Perfect Simulation
Higgs Searches into the Next Millennium
Thermal Field Theory and Applications in Cosmology
Gauge Theories in Two Dimensions
Flows of Granular Media
Polydisperse Particle-driven Gravity Currents
Dark Matter in Galaxies
The Dynamics of Heterogenous Populations
The Unsteady Kutta Condition
Sonic Booms
Nonlinear Aspects of Fast Dynamo Theory
Localized Solutions in Pattern-Forming Instabilities
Radiation from a Circular Transducer into an Elastic Half-Space
The Effects of Surfactants on the Motion of Long Bubbles in Tubes
Fingering Instabilities in Thin Wetting Films
Critical Behaviour in Gravitational Collapse
High Reynolds Number Flow in Collapsible Channels and Tubes
Bioconvection
Shear-induced Migration and Diffusion in a Suspension of Spheres
Testing Fundamental Physics with Surveys of Large Scale Structure
Numerical Methods for Differential Equations in Lie Groups
Drips to Drops - Bridging the Gap
The Fluid Dynamics of the Earth's Outer Core
Predicting the Path of Killer Hurricanes
Turbulence-generated Noise
Electron and Plasma Flows in Submicron Devices
Ionization with Two Active Target Electrons
Erythrogigantism
Numerical Solutions of Two-Dimensional Driven Cavity Flow
The Boundary Integral Technique for Inviscid Flows
Element Abundances in the Solar Atmosphere and Solar Wind
The Use of Thermostatted Systems in Non-Equilibrium Statistical Mechanics
Brane World
Dynamics of Convection in Magnetic Fields
Nonlinear Dynamics of Water Waves
Instability Analysis for Swirling Jets
Separation on a Free Surface
Numerical Simulations of Incompressible Two-Dimensional Turbulence
Magnetic Buoyancy
Linear and Nonlinear MHD in Accretion Discs
Chaotic Advection in the Atmosphere
Front Conditions for non-Boussinesq Gravity Currents
Internal Wave Focusing by Boundary Reflections in Non-uniform Stratification
Representations of the N=1 Neveu-Schwarz Superconfromal Algebra
Is the Universe Infinite?
The Real Space Renormalization Group and Applications

Candidates are reminded that they may request leave to submit an essay on a topic other than those given above provided that the request is made, through their Tutor, so as to reach the Chairman of Examiners, Mathematics Faculty Office, Department of Applied Mathematics and Theoretical Physics, Silver Street, not later than 1 February 2000.

A candidate who proposes to submit an essay should inform the Chairman of Examiners, through his or her Tutor, on a form which will be provided, by 5 May 2000, and should submit the essay, through his or her Tutor, so as to reach the Chairman of Examiners not later than 11 May 2000.


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Cambridge University Reporter, 24 November 1999
Copyright © 1999 The Chancellor, Masters and Scholars of the University of Cambridge.