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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-afarevi 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

^{2} *S*^{3}

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.