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In accordance with Regulations 18 and 19 for the Mathematical Tripos (Statutes and Ordinances, p. 323), the Examiners give notice that a candidate may submit an essay on any one of the following topics:
Representations of SL(2,R)
Symplectic 4-manifolds
Cohomology Operations
The Borel-Weil-Bott Theorem and Generalizations
The Narasimhan-Seshadri Theorem and Generalizations
The 3-manifold Geometrisation Conjecture of W. P. Thurston
Shannon Whittaker Reconstruction from Irregular Sampling
Bloch Functions
The Travelling Salesman Problem and Harmonic Analysis
Some Attempted Proofs of the Michael Conjecture
Proof Theory
Realizability
Allegories
Synthetic Differential Geometry
Set Theory without the Axiom of Foundation
Well-quasi-orders and Better-quasi-orders
Left-Distributive Algebras
Higher-Dimensional Algebras
Rational Double Points
Surface Classification and Geography
The Topology of Algebraic Varieties
The Mori Cone of the Moduli Space of Curves
Lehmer's Problem and Mahler's Measure
Cohomological Approach to Class Field Theory
Higher Ramification Theory
Intersecting Set Systems
Pseudo-random Graphs
Canonical Ramsey Theory
Lagrangians of Hypergraphs
Arithmetic Progressions in Sumsets
Sporadic Simple Groups
Simple Groups of Lie Type
Quivers and Finite-Dimensional Algebras
Symmetric Functions and Characters in GLn
Iwahori-Hecke Algebras
Zsigmondy's Theorem and its Algebraic Applications
Imperfect and/or Perfect Stimulation
Random Fractals
Conformal Invariance and Universality
Homogenization
Convergence of Markov Processes
Analysis of a Large and Complex Data Set
Game Contingent Plans
Advanced Methods of Classical and Quantum Coding
Mathematical Aspects of Quantum Computing: Beyond Shor's Algorithm
Perpetuities
Matching Priors
Least Favourable Families
Rotating Rayleigh Benard Convection
Faraday Waves
Global Bifurcations of Codimension Two and Three
Mean Flow Effects in Modulational Instabilities
Localized Solutions in Pattern Forming Instabilities
Baroclinic Instability and Baroclinic Turbulence
Instabilities of a Sheared Elastic Liquid
Dust Resuspension by Raindrops
Human Plumes
Internal Wave Focusing in a Non-uniform Stratification
Cold Room Storage and Turbulent Jets
Elastic Jumps in Flexible Fluid-filled Tubes
Balance and Lighthill Radiation in Atmosphere-Ocean Dynamics
Fast Flows in Curved pipes: a Conundrum?
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
CP Violation and B-Mesons
Chiral Symmetry and Lattice Fermions
The Real Space Renormalization Group and its Application in Two Dimensions
Quantification and Qualification of Mixed-state Entanglement 'Interaction Free' Measurements
A Recycling Universe from Colliding Branes
The Role of Metrics of Special and Exceptional Holonomy in M-Theory
Neutrino Oscillations
Brane World Cosmology
Mass Transfer in Eccentric Binary Stars
Warped Accretion Discs
Solar Activity and Climactic Change
Turbulent Magnetic Fields
Rotational Dynamics of the Sun
The Experimental Evidence for General Relativity
The Ionization History of the Universe
The End of Inflation: Reheating or Preheating the Universe
Quantum Cosmology
De Sitter Space Revisited
The N=1 Ramond Algebra
The Large N limit of SU(N) Gauge Theory
Spin Foam Models and Quantum Gravity
The Age of the Universe
Can an Even-arity Antiphase Interpolating Refinement Exist?
Level-set Methods
Applications of Integrable Systems to Geometry
Defect Formation in Phase Transitions
Algebraic K-Theory
Algebraic Cycles
Exotic Spheres with Positive Curvature
The Hofer-Zehnder Capacity
Cyclic Dynamics of Natural-Enemy Populations
The Power-Law Behaviour of Populations
Macro v Micro Parasites: a Comparison between Methods and Models
The Role of Volatiles in Volcanic Eruptions
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 Director of Studies, so as to reach the Secretary of the Faculty Board, Mathematics Faculty Office, Centre for Mathematical Sciences, Wilberforce Road, not later than 1 February 2002.
A candidate who proposes to submit an essay should inform the Chairman of Examiners, through his or her Director of Studies, on a form which will be provided, by 3 May 2002, and should submit the essay, through his or her Director of Studies, so as to reach the Chairman of Examiners not later than 16 May 2002.
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Cambridge University Reporter, 28 November 2001
Copyright © 2001 The Chancellor, Masters and Scholars of the University of Cambridge.