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Mathematical Tripos, Part III, 1998: Notice by the Examiners

In accordance with Regulations 17 and 18 for the Mathematical Tripos (Statutes and Ordinances, p. 324), the Examiners give notice that a candidate may submit an essay on any one of the following topics:

Random Cellular Automata
Stochastic Epidemics
Random Fractals
Models for Non-Parametric Bayesian Inference
James-Stein Estimation
Analysis of a Large and Complex Data Set
Integer Programming: Algorithms and Applications
Modifications to Profile Likelihood
Alternative Set Theories
Well-quasi-orders and Better-quasi-orders
Left-distributive Algebras
Surface Classification and Geography
Du Val Singularities
Selmer Groups and Tate-Safarevic Groups
Complex Multiplication
The Topology of Algebraic Varieties
The Moduli Space of Curves
Synthetic Differential Geometry
Coverings of the 3-sphere Branched over Knots and Links
Selberg's Trace Formula
The Plancherel Theorem for SL(2,R) and SL(2,C)
Representations of Affine Lie Algebras
von Neumann Algebras
Free Probability Theory
Noncommutative Geometry
Geometry and Non-linear Equations
Blocks with a Cyclic Defect Group
Polynomial Invariants of Finite Groups
Finite-dimensional Algebras
Atomic Decompositions in Hardy Spaces
Continuous Wavelets and their Uses
Littlewood-Paley Theory
The Hilbert Metric
The Spectral Function of an Elliptic Operator
Scattering Theory
Fourier Integral Operators
Re-arranged Fourier Series
Hilbert's Thirteenth Problem
The Piecewise Linear Schoenflies Theorem and its Higher Dimensional Generalizations
Seifert Fibered 3-Manifolds
Classifying Spaces of Categories
[Omega]2 S3
The Morava Stabiliser Group
Stable Homotopy Theory
Gröbner Bases
Weyl Algebras
Automorphisms of Free Groups
Isoperimetric Inequalities and Dehn Functions for Good Presentations
Proof Theory
Higher Dimensional Category Theory
The Density of Sets without Given Configuration
Seiberg-Witten Invariants
Floer Homology and the Arnol'd Conjecture
Pseudoholomorphic Curves in Symplectic Manifolds
Young Tableaux
Sporadic Simple Groups
The Leech Lattice
Serre's Conjecture
Modular Forms and Converse Theorems
Arithmetic of Elliptic Curves
Cohomology Operations
Algebraic K-Theory
Several Complex Variables and the Michael Problem
Nonabelian Hodge Theory
Teichmüller Space and Deformations of Riemann Surfaces
Continued Fractions and Discrete Groups
Connectivity of Graphs
Hills Equation and Integrable Systems
Global Modes in Shear Flow
Mean-flow Effects in Airway Closure
Surface-tension-driven Feeding in Shorebirds
Fluid Flow in a Tube with a Non-axisymmetric Indentation
Lunate-Tail Swimming
Symmetry-Breaking bifurcations in Convection
Elastic Flow Instabilities
Dynamics of Networks of Oscillators
Non-Hyperbolic Strange Attractors and Homoclinic Bifurcations
Coupled Map Lattices
Electron-Phonon Systems
Dynamical System Approach to the Water Wave Problem
Perturbation of Integrable Hamiltonian Systems
Asymptotics Beyond all Orders
High-Reynolds-Number Laminar Separation
Axisymmetric Vortex Breakdown and its Relation to Flow Reversal
Effective Response of a Weakly Heterogeneous Composite at Finite Deformation
Quantum Cryptography - Theory and Realisation
Branes, Solitons and Sources
Radiation from Highly Relativistic Particles in Dense Media
Cosmology in the Laboratory
't Hooft's Polygon Approach to Quantum Gravity
Effective Lagrangians
Gravitational Lensing
Canonical Quantization of Gravity and Supergravity
Critical Phenomena and Turbulence in Scalar Field Collapse
Binary Stars in Globular Clusters
Is the Cosmological Constant Non-Zero?
Angular Momentum Transport by Waves in the Sun
Dynamical Evolution of Globular Star Clusters
Black Hole Entropy from Branes
What has been Learnt from Calculations of Black Hole Pair Creation?
The Geometry of Killing Spinor Equations
The Fluid Mechanics of Solidification
Transport of Molten Rock through Fractors in the Earth's Crust
Discuss and Contrast the Ionisation Balance Calculations for Planetary Nebulae and the Solar Corona
Multiscale and Wavelet Methods for Partial Differential Equations
Optimal Arc-Spline Fitting
Pattern Formation in Nature and Experiment
Fast Dynamos
Influence of Distant Boundaries on Travelling-Wave Instabilities
The Mechanism of Earthquakes
The Inflationary University

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 Friday, 30 January 1998.

 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 14 April 1998, and should submit the essay, through his or her Tutor, so as to reach the Chairman of Examiners not later than 14 May 1998.

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Cambridge University Reporter, 26th November 1997
Copyright © 1997 The Chancellor, Masters and Scholars of the University of Cambridge.