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Mathematical Tripos, Part III, 1999: Notice by the Examiners

In accordance with Regulations 17 and 18 for the Mathematical Tripos (Statutes and Ordinances, p. 326), the Examiners give notice that a candidate may submit an essay on any one of the following topics:

Random Fractals
Epidemic Models
The Percolation Phase Transition
Analysis of a Large and Complex Data Set
Integer Programming: Algorithms and Applications
The Evolution of Internet Congestion and Control
Stein Confidence Sets
Finite Dimensional Stochastic Filters
Gaussian Processes
Heat Flow in a Rough Medium
Homogenization
Mathematical Models for Coagulation and Coalescence
Dynamics of Sigma-Delta Converters
Dynamics of Games
Bayesian Analysis of Queueing Systems
Three-dimensional Manifolds
Skein Theory and Quantum Invariants of 3-manifolds
Synthetic Differential Geometry
The Atiyah-Singer Index Theorem
Subfactors and Knots
Algebraic Conformal Field Theory
The Fermion-Boson Correspondence and Solitons
Eigenvalues of the Laplacian on a Riemann Surface
Plancherel's Theorem for 3-dimensional Matrix Groups
The Weil Algebra
Analytic Pro-p Groups
Complex Multiplication
Arithmetic of QuadraticForms
Algebraic K-theory
Néron Models
Intermediate Jacobians of Conic Bundles
Groups of Lie Type
Reflection Groups and Coxeter Groups
Surface Classification and Geography
Du Val Singularities
Left-distributive Algebras
Non-abelian Hodge Theory
Three-dimensional Geometries
Classical Results in Homotopy Groups of Spheres
Morse Theory
Hills Equation and Integrable Systems
Model Theory
Finite Model Theory and Complexity Theory
Constructive Mathematics
The Spectral Function of an Elliptic Operator
Scattering Theory
Fourier Integral Operators
The Mathematical Theory of Wavelets
The Cohomological Approach to Class Field Theory
The Kakeya Problem
Structural Ramsey Theory
Szemerédi's Regularity Lemma
Random Walks on Graphs
The Hilbert Metric
Representation Theory of the Symmetric Groups
Re-arranged Fourier Series
Hilbert's Thirteenth Problem
Mirror Symmetry and Elliptic Curves
Topology of Algebraic Varieties
Stable Vector Bundles on K3 Surfaces
Weyl Algebras
Isoperimetric Inequalities and Dehn Functions
Automorphisms of Free Groups
Teichmüller Space and the Deformation of Riemann Surfaces
Continued Fractions and Fuchsian Groups
Belyĭ Functions and Riemann Surfaces Defined over the Algebraic
Pseudoholomorphic Curves in Symplectic Manifolds
Comparison Methods in Riemannian Geometry
The Mechanism of Earthquakes
Dynamics of the Human Tear Film
The Effects of Surfactants on the Motion of Long Bubbles in Tubes
Lunate-tail Swimming
Flow in curved tubes
The Dynamics of Heterogeneous Populations
Drips to Drops - Bridging the Gap
The Fluid Dynamics of the Earth's Outer Core
The Unsteady Kutta Condition
Jet Noise
Stretching Filaments of Elastic Liquids
Baroclinic Instability
High-Reynolds-Number Laminar Separation
Unsteady Axisymmetric Vortex Breakdown
Front Conditions for Non-Boussinesq Gravity Currents
(e,2e) and Related Processes
Ergodic Theory
Stochastic Stability
Coupled Map Lattices
Element Abundances in the Solar Atmosphere and Solar Wind
Helioseismology and the Internal Rotation of the Sun
Modulation of Stellar Activity Cycles
Pattern Formation in Nature and Experiment
Structure and Stability of Localized States in Subcritical Instability Problems
The Alpha-effect and Turbulent Diffusion in Nonlinear Fast Dynamos
Global Dynamics in Symmetric Systems
The Fast Multipole Method
The Multiscale and Wavelet Methods for Partial Differential Equations
Galaxies
Evidence for a Cosmological Constant
Evolution of Eccentricity of X-ray Binaries
Electron-Phonon Systems
Dynamical System Approach to the Water Wave Problem
Perturbation of Integrable Hamiltonian Systems
Application of Toric Varieties to CAGD
Quantum Groups and Renormalization Theory
T-Duality in String Theory
Conformal Invariance in N=1 Supersymmetric Theories
Neutrino Masses
Quantum Cloning
Discrete Approaches to Quantum Cosmology
Thermal Field Theory and the Quark Gluon Plasma
Numerical Probes of Spacetime Singularities
Black Holes in Higher Dimensions
Approaches to Cosmological Perturbation Theory
Quantum Cosmology, with and without Supergravity
Glueballs

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 1999.

A candidate who proposes to submit an essay should submit the essay, through his or her Tutor, so as to reach the Chairman of Examiners not later than 13 May 1999.


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Cambridge University Reporter, 25 November 1998
Copyright © 1998 The Chancellor, Masters and Scholars of the University of Cambridge.