MATHEMATICAL TRIPOS
Tuesday 6 June, 2006
Part III
1.30 to 4.30
PAPER 19
REPRESENTATIONS OF COMPACT LIE GROUPS
Attempt QUESTION 1 and THREE other questions.
There are SIX questions in total.
Question 1 carries 30 marks and all other questions carry 20 mark
MATHEMATICAL TRIPOS
Part III
Monday, 8 June, 2009 9:00 am to 12:00 pm
PAPER 20
FOUR-MANIFOLDS
Attempt no more than THREE questions.
There are FIVE questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
Cover sheet
Treasury Tag
Scrip
MATHEMATICAL TRIPOS
Friday 4 June, 2004
Part III
9 to 12
PAPER 19
RIEMANNIAN GEOMETRY
Attempt THREE questions.
There are ve questions in total.
The questions carry equal weight.
You may not start to read the questions
printed on the subsequent pages until
MATHEMATICAL TRIPOS
Part III
Wednesday 8 June, 2005 1.30 to 4.30
PAPER 19
GEOMETRISATION OF 3-MANIFOLDS
Attempt THREE questions.
There are FIVE questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
Cover sheet
Treasury Tag
Script p
MATHEMATICAL TRIPOS
Part III
Wednesday 4 June 2003 9 to 12
PAPER 20
CONSTRUCTIVE TOPOLOGY
Attempt THREE questions.
There are ve questions in total.
The questions carry equal weight.
You may not start to read the questions
printed on the subsequent pages u
MATHEMATICAL TRIPOS
Part III
Friday 7 June 2002 9 to 12
PAPER 19
KNOT THEORY
Attempt THREE questions
There are ve questions in total
The questions carry equal weight
You may not start to read the questions
printed on the subsequent pages until
instructed
MATHEMATICAL TRIPOS
Part III
Monday 2 June 2008 1.30 to 4.30
PAPER 19
DIFFERENTIAL GEOMETRY
Attempt THREE questions
There are FIVE questions in total
The questions are of equal weight
STATIONERY REQUIREMENTS
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Treasury Tag
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SPECIAL R
MATHEMATICAL TRIPOS
Part III
Wednesday 7 June, 2006 9 to 12
PAPER 20
SYMPLECTIC TOPOLOGY
Attempt THREE questions.
There are FIVE questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
Cover sheet
Treasury Tag
Script paper
SPECIAL RE
MATHEMATICAL TRIPOS
Part III
Tuesday 3 June 2008 1.30 to 4.30
PAPER 18
ALGEBRAIC TOPOLOGY
Attempt at most FOUR questions.
There are SEVEN questions in total.
All questions are of equal weight. Standard theorems from the course may be used
without proof if
MATHEMATICAL TRIPOS
Part III
Thursday 7 June 2007 1.30 to 4.30
PAPER 19
COBORDISM
Attempt FOUR questions.
There are FIVE questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
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Treasury Tag
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SPECIAL REQUIREMEN
MATHEMATICAL TRIPOS
Part III
Friday 30 May 2003 1.30 to 4.30
PAPER 18
CATEGORY THEORY
Attempt SIX questions.
There are ten questions in total.
The questions carry equal weight.
You may not start to read the questions
printed on the subsequent pages until
MATHEMATICAL TRIPOS
Part III
Tuesday, 2 June, 2009 9:00 am to 12:00 pm
PAPER 19
COMPLEX MANIFOLDS
Attempt no more than THREE questions.
There are FIVE questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
Cover sheet
Treasury Tag
S
MATHEMATICAL TRIPOS
Part III
Monday 13 June, 2005 9 to 12
PAPER 20
SPECTRAL GEOMETRY
Attempt THREE questions.
There are FIVE questions in total.
The questions carry equal weight.
Where necessary, you may quote standard results from analysis without proof.
MATHEMATICAL TRIPOS
Part III
Thursday 5 June 2008 1.30 to 4.30
PAPER 20
SPECTRAL GEOMETRY
Attempt no more than THREE questions.
There are FIVE questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
Cover sheet
Treasury Tag
Script pa
MATHEMATICAL TRIPOS
Part III
Friday 31 May 2002 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
Part III
Thursday, 3 June, 2010 1:30 pm to 4:30 pm
PAPER 19
SPECTRAL GEOMETRY
Attempt no more than THREE questions.
There are FIVE questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
Cover sheet
Treasury Tag
S
MATHEMATICAL TRIPOS
Part III
Friday, 4 June, 2010 9:00 am to 12:00 pm
PAPER 20
SET THEORY AND LOGIC
Attempt no more than FOUR questions.
There are NINE questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
Cover sheet
Treasury Tag
MATHEMATICAL TRIPOS
Part III
Wednesday, 3 June, 2009 9:00 am to 12:00 pm
PAPER 21
ALGEBRAIC GEOMETRY
Attempt no more than FOUR questions.
There are FIVE questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
Cover sheet
Treasury Tag
MATHEMATICAL TRIPOS
Part III
Friday, 5 June, 2009 9:00 am to 12:00 pm
PAPER 22
SPECTRAL GEOMETRY
Attempt no more than THREE questions.
There are FIVE questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
Cover sheet
Treasury Tag
Sc
MATHEMATICAL TRIPOS
Part III
Friday, 4 June, 2010 9:00 am to 12:00 am
PAPER 22
ELLIPTIC CURVES
Attempt no more than THREE questions.
There are FOUR questions in total.
The questions carry equal weight.
E denotes an elliptic curve, Fqthe eld with q element
MATHEMATICAL TRIPOS
Part III
Thursday, 3 June, 2010 9:00 am to 12:00 pm
PAPER 23
IWASAWA THEORY OF ELLIPTIC CURVES
WITH COMPLEX MULTIPLICATION
Attempt no more than FOUR questions.
There are FIVE questions in total.
The questions carry equal weight.
STATIO
MATHEMATICAL TRIPOS
Part III
Friday, 5 June, 2009 1:30 pm to 4:30 pm
PAPER 24
TOPOS THEORY
Attempt TWO questions from Section I and ONE question from Section II.
There are SEVEN questions in total.
The questions carry equal weight.
The paper is in two sec
MATHEMATICAL TRIPOS
Part III
Thursday 8 June, 2006 9 to 12
PAPER 24
CATEGORY THEORY
Attempt ONE question from Section I and TWO from Section II.
There are SIX questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
Cover sheet
Treasu
MATHEMATICAL TRIPOS
Part III
Monday 4 June 2001 9 to 11
PAPER 23
MATHEMATICAL MODELS IN FINANCIAL MANAGEMENT
Attempt any THREE questions. The questions carry equal weight.
You may not start to read the questions
printed on the subsequent pages until
instr
MATHEMATICAL TRIPOS
Friday 9 June, 2006
Part III
1.30 to 3.30
PAPER 22
SMOOTH FOUR-MANIFOLDS
Attempt ONE question from Section A, and ONE from Section B.
There are FIVE questions in total.
Section A questions carry 40% weight; and Section B questions carr
MATHEMATICAL TRIPOS
Part III
Monday 4 June 2001 1.30 to 4.30
PAPER 21
ADVANCED PROBABILITY
Attempt FOUR questions. The questions carry equal weight.
You may not start to read the questions
printed on the subsequent pages until
instructed to do so by the I
MATHEMATICAL TRIPOS
Part III
Monday, 1 June, 2009 1:30 pm to 4:30 pm
PAPER 23
CATEGORY THEORY
Attempt no more than FIVE questions.
There are EIGHT questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
Cover sheet
Treasury Tag
Scrip
MATHEMATICAL TRIPOS
Friday 9 June, 2006
Part III
9 to 12
PAPER 23
SPECTRAL GEOMETRY
Attempt THREE questions.
There are FIVE questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
Cover sheet
Treasury Tag
Script paper
SPECIAL REQUIRE
MATHEMATICAL TRIPOS
Part III
Thursday 6 June 2002 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
Part III
Friday 30 May 2008 1.30 to 4.30
PAPER 22
COMPLEX MANIFOLDS
Attempt no more than THREE questions.
There are FIVE questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
Cover sheet
Treasury Tag
Script pape