MATHEMATICAL TRIPOS
Friday 31 May 2002
Part III
1.30 to 4.30
PAPER 3
CONSTRUCTIVE GALOIS THEORY
Attempt THREE questions
There are five questions in total
The questions carry equal weight
You may not start to read the questions
printed on the subsequent pa
MATHEMATICAL TRIPOS
Thursday 6 June 2002
Part III
1.30 to 4.30
PAPER 16
SYMPLECTIC GEOMETRY AND HAMILTONIAN SYSTEMS
Attempt FOUR questions
There are five questions in total
The questions carry equal weight
You may not start to read the questions
printed o
MATHEMATICAL TRIPOS
Thursday 30 May 2002
Part III
9 to 12
PAPER 21
SET THEORY
Full marks may be obtained by complete answers to FOUR questions
There are six questions in total
The questions carry equal weight
You may not start to read the questions
printe
MATHEMATICAL TRIPOS
Friday 31 May 2002
Part III
1.30 to 3.30
PAPER 18
COMPACT LIE GROUPS
Attempt THREE questions
There are four questions in total
The questions carry equal weight
You may not start to read the questions
printed on the subsequent pages unt
MATHEMATICAL TRIPOS
Thursday 30 May 2002
Part III
9 to 12
PAPER 8
HARMONIC ANALYSIS
Attempt THREE questions
There are five questions in total
The questions carry equal weight
You may not start to read the questions
printed on the subsequent pages until
in
MATHEMATICAL TRIPOS
Monday 3 June 2002
Part III
1.30 to 4.30
PAPER 45
PHYSICAL COSMOLOGY
Attempt THREE questions
There are four questions in total
The questions carry equal weight, parts of questions may have different weights
You may not start to read th
MATHEMATICAL TRIPOS
Thursday 30 May 2002
Part III
1.30 to 4.30
PAPER 6
INTRODUCTION TO FUNCTIONAL ANALYSIS
Attempt THREE questions
There are four questions in total
The questions carry equal weight
You may not start to read the questions
printed on the su
MATHEMATICAL TRIPOS
Monday 3 June 2002
Part III
9 to 12
PAPER 23
INFINITE AND FINITE MODEL THEORY
Attempt THREE questions from Section A AND THREE questions from Section B
There are five questions in Section A and five questions in Section B
The questions
MATHEMATICAL TRIPOS
Friday 7 June 2002
Part III
1.30 to 4.30
PAPER 26
MODULAR FORMS
Attempt THREE questions
There are six questions in total
The questions carry equal weight
Mk (resp. Sk ) denotes the space of modular forms (resp. cusp forms) of weight k
MATHEMATICAL TRIPOS
Tuesday 4 June 2002
Part III
1.30 to 3.30
PAPER 10
RAMSEY THEORY
Attempt THREE questions
There are four questions in total
The questions carry equal weight
You may not start to read the questions
printed on the subsequent pages until
i
MATHEMATICAL TRIPOS
Monday 3 June 2002
Part III
1.30 to 4.30
PAPER 17
ALGEBRAIC TOPOLOGY
Attempt THREE questions, one of which should be question 4 or question 5
There are five questions in total
The questions carry equal weight
You may not start to read
MATHEMATICAL TRIPOS
Friday 7 June 2002
Part III
9 to 12
PAPER 19
KNOT THEORY
Attempt THREE questions
There are five questions in total
The questions carry equal weight
You may not start to read the questions
printed on the subsequent pages until
instructe
MATHEMATICAL TRIPOS
Thursday 6 June 2002
Part III
9 to 12
PAPER 7
BANACH ALGEBRAS
Attempt THREE questions
There are six questions in total
The questions carry equal weight
All Banach algebras should be taken to be over the complex field.
You may not start
MATHEMATICAL TRIPOS
Wednesday 5 June 2002
Part III
9 to 12
PAPER 4
PARTIALLY ORDERED GROUPS
Attempt FOUR questions
There are six questions in total
The questions carry equal weight
NOTATION: In the questions, standard notation has been used: o-group is a
MATHEMATICAL TRIPOS
Tuesday 4 June 2002
Part III
1.30 to 4.30
PAPER 13
CURVES AND THEIR JACOBIANS
Attempt THREE questions
There are five questions in total
The questions carry equal weight
You may not start to read the questions
printed on the subsequent
MATHEMATICAL TRIPOS
Monday 3 June 2002
Part III
9 to 12
PAPER 5
COMPLEX ANALYSIS
Attempt FOUR questions
There are six questions in total
The questions carry equal weight
You may not start to read the questions
printed on the subsequent pages until
instruc
MATHEMATICAL TRIPOS
Friday 31 May 2002
Part III
9 to 12
PAPER 20
CATEGORY THEORY
Attempt SIX questions
There are twelve questions in total
The questions carry equal weight
You may not start to read the questions
printed on the subsequent pages until
instr
MATHEMATICAL TRIPOS
Monday 3 June 2002
Part III
9 to 12
PAPER 2
FURTHER CHARACTER THEORY
Attempt THREE questions
There are five questions in total
The questions carry equal weight
In questions of two parts the first(a) makes up for 30% and
the second(b) f
MATHEMATICAL TRIPOS
Thursday 30 May 2002
Part III
9 to 12
PAPER 12
TORIC VARIETIES
Attempt THREE questions
There are four questions in total
The questions carry equal weight
You may not start to read the questions
printed on the subsequent pages until
ins
MATHEMATICAL TRIPOS
Thursday 6 June 2002
Part III
1.30 to 4.30
PAPER 22
ELEMENTARY TOPOSES
Attempt THREE questions of which at most TWO should be from Section A
There are four questions in Section A and three questions in Section B
The questions carry equ
MATHEMATICAL TRIPOS
Thursday 30 May 2002
Part III
9 to 12
PAPER 1
TOPICS IN GROUP THEORY
Attempt THREE questions
There are five questions in total
The questions carry equal weight
You may not start to read the questions
printed on the subsequent pages unt
MATHEMATICAL TRIPOS
Wednesday 5 June 2002
Part III
9 to 11
PAPER 11
ALGEBRAIC METHODS IN COMBINATORICS
Attempt TWO questions
There are three questions in total
The questions carry equal weight
You may not start to read the questions
printed on the subsequ
MATHEMATICAL TRIPOS
Friday 31 May 2002
Part III
1.30 to 3.30
PAPER 32
MATHEMATICAL MODELS IN FINANCIAL MANAGEMENT
Attempt THREE questions
There are five questions in total
The questions carry equal weight
You may not start to read the questions
printed on
MATHEMATICAL TRIPOS
Monday 3 June 2002
Part III
9 to 12
PAPER 15
GEOMETRIC INVARIANT THEORY
Attempt FOUR questions
There are five questions in total
The questions carry equal weight
You may not start to read the questions
printed on the subsequent pages u
MATHEMATICAL TRIPOS
Wednesday 5 June 2002
Part III
9 to 12
PAPER 14
DIFFERENTIAL GEOMETRY
Attempt THREE questions, at most ONE of which should be from Section A
There are two questions in Section A and four in Section B
The questions carry equal weight
Al
MATHEMATICAL TRIPOS
Tuesday 4 June 2002
Part III
1.30 to 3.30
PAPER 28
INTERACTING PARTICLE SYSTEMS
Attempt THREE questions
There are four questions in total
The questions carry equal weight
You may not start to read the questions
printed on the subsequen
MATHEMATICAL TRIPOS
Tuesday 4 June 2002
Part III
1.30 to 4.30
PAPER 38
STATISTICAL THEORY
Attempt FOUR questions
There are six questions in total
The questions carry equal weight
You may not start to read the questions
printed on the subsequent pages unti
MATHEMATICAL TRIPOS
Friday 31 May 2002
Part III
9 to 12
PAPER 40
TIME SERIES AND MONTE CARLO INFERENCE
Attempt FOUR questions
There are six questions in total
The questions carry equal weight
Note: The following properties of the Inverse Gamma distributio
MATHEMATICAL TRIPOS
Tuesday 4 June 2002
Part III
1.30 to 4.30
PAPER 41
ASTROPHYSICAL FLUID DYNAMICS
Attempt THREE questions
There are four questions in total
The questions carry equal weight
Candidates may bring their notebooks into the examination
You ma