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Mathematical Tripos, Part III, 2001: Notice by the Examiners

In accordance with Regulations 17 and 18 for the Mathematical Tripos (Statutes and Ordinances, p. 318), the Examiners give notice that a candidate may submit an essay on any one of the following topics:

Rational Double Points
The Moment Map
Sparse Ramsey Theory
Ergodic Theory and Ramsey Theory
D-Branes and Mirror Symmetry
Grassmannians and Derived Categories
Flops and Derived Categories
Hodge and de Rham in characteristic p
Representations of SL2 and the Langlands Theory
The Weyl-Kac Character Formula
Finite Model Theory and Complexity Theory
Rewriting Systems for Groups
Representations of SL(2, R)
Symplectic 4-manifolds
The Set of Exceptional Values for a Meromorphic Function
Nevallina Theory and Meromorphic Solutions of Algebraic Differential Equations
The Travelling Salesman Problem and Harmonic Analysis
K-Theory and Representation Theory
Algebraic K-Theory
Cohomology of Finite Groups over Modular Fields
Blocks with a Cyclic Defect Group
Polynomial Invariants of Finite Groups
Iwasawa Theory of Elliptic Curves
Covering Space Techniques in Knot Theory
Arithmetic of Quadratic Forms
Etale Cohomology and Arithmetic
Elliptic Curves and Number-theoretical Algorithms
Predictive Inference
The r* Formula
Analysis of a Large and Complex Data Set
Epidemic Models
Imperfect and/or Perfect Simulation
Random Fractals
Quantum Shannon Theorems
Quantum Coding: Hamming, Reed-Muller, and Beyond
Entanglement, Quantum Fourier Transform, and Fast Computations
Conservative Delta Hedging
Random Matrices
Mathematical Models for Coagulation and Coalescence
Type Ia Supernovae
Element Abundance in the Solar Atmosphere and Solar Wind
Age Structure in Ecological Models
The Evolution of Altruism
The Cauchy Problem and Singularities in General Relativity
What is a Glueball?
Elastic Jumps in Flexible Fluid-filled Tubes
Lunate-tail Swimming
Magnetic Fields in Galaxies
Turbulent Magnetic Fields
Dynamics of Convection in Magnetic Fields
Heteroclinic Cycles in Symmetric Systems
Numerical Methods in Hamiltonian Dynamics
Numerical Solutions to Two-dimensional Driven Cavity Flow
Numerical Solutions of Incompressible Two-dimensional Turbulence
Instability Analysis for Swirling Jets: Vortex Breakdown?
Separation on a Free Surface
Drips to Drops - Bridging the Gap
The Fluid Dynamics of the Earth's Outer Core
Boundary-integral Representations for Curved Cracks
Instabilities of a Sheared Elastic Liquid
Disappearing Plumes
Particle Laden Gravity Currents Travelling Up-slope
Internal Wave Focusing in a Non-uniform Stratification
Fluctuations in the Cosmic Microwave Background
Localized Solutions in Pattern-forming Instabilities
Sonic Booms
Nongaussian Perturbations and Cosmic Microwave Sky
The Condition of the B-spline Basis
The Formation and Dynamical Evolution of Globular Clusters
Evidence for Cosmic Acceleration and Models of Quintessence
What is Dark Matter?
Gravity Wave Data Analysis
Global Modes in Slowly Spatially Developing Flows
Non-commutative Geometry Applied to Physics
Discrete Hair on Black Holes
The Ads/CFT Correspondence and Black Hole Physics
Passive Scalars in the Batchelor Regime of Turbulence

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, Centre for Mathematical Sciences, Wilberforce Road, not later than 1 February 2001.

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 4 May 2001, and should submit the essay, through his or her Tutor, so as to reach the Chairman of Examiners not later than 17 May 2001.

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Cambridge University Reporter, 22 November 2000
Copyright © 2011 The Chancellor, Masters and Scholars of the University of Cambridge.