MATHEMATICAL TRIPOS Part III
Wednesday 2 June, 2004 9 to 12
PAPER 17
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
in

MATHEMATICAL TRIPOS Part III
Wednesday 6 June 2001 1.30 to 4.30
PAPER 19
ELLIPTIC CURVES
Attempt ALL 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

MATHEMATICAL TRIPOS Part III
Monday 3 June 2002 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 Part III
Thursday 8 June, 2006 9 to 12
PAPER 18
CURVES AND JACOBIANS
Attempt THREE questions.
There are FIVE questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS SPECIAL REQUIREMENTS
Cover sheet None
Treasury T

MATHEMATICAL TRIPOS Part III
Wednesday, 3 June, 2009 1:30 pm to 4:30 pm
PAPER 18
CURVES AND ABELIAN VARIETIES
Attempt no more than THREE questions.
There are SIX questions in total.
The questions carry equal weight.
In questions (1)-(5) C is a curve of ge

MATHEMATICAL TRIPOS Part III
Monday 7 June, 2004 9 to 11
PAPER 20
LIE GROUPS
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 subsequent pages until
instruc

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
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
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 SPECIAL REQUIREMENTS
Cover sheet

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 SPECIAL REQUIREMENTS
Cover sheet None
Treasury Tag
Scrip

MATHEMATICAL TRIPOS Part III
Friday 31 May 2002 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 Part III
Friday 9 June, 2006 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 7 June, 2004 1.30 to 4.30
PAPER 18
SPECTRAL GEOMETRY
Attempt THREE questions.
There are four questions in total.
The questions carry equal weight.
You may use without proof results from other areas of Mathematics, such

MATHEMATICAL TRIPOS Part III
Friday 3 June, 2005 9 to 12
PAPER 18
FIBRE BUNDLES
Attempt FOUR questions.
There are FIVE questions in total.
The questions carry equal weight.
As in the course, you may assume that whatever spaces come up are paracompact,
and

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 SPECIAL REQUIREMENTS
Cover she

MATHEMATICAL TRIPOS Part III
Friday 6 June 2008 9.00 to 12.00
PAPER 17
THE X-RAY TRANSFORM IN GEOMETRY AND DYNAMICS
Attempt no more than THREE questions.
There are FIVE questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS SPECIAL

MATHEMATICAL TRIPOS Part III
Thursday 29 May 2003 9 to 12
PAPER 19
SET THEORY
Attempt FOUR questions.
There are eight 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
Wednesday 6 June 2001 1.30 to 3.30
PAPER 18
LOGIC AND COMBINATORICS
Answer any THREE questions. The questions carry equal weight.
You may not start to read the questions
printed on the subsequent pages until
instructed to do s

MATHEMATICAL TRIPOS Part III
Thursday 31 May 2007 1.30 to 4.30
PAPER 17
TORIC GEOMETRY
Attempt THREE questions.
There are FOUR questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS SPECIAL REQUIREMENTS
Cover sheet None
Treasury Tag

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 SPECIAL REQUIREMENTS
Cover

MATHEMATICAL TRIPOS Part III
Friday 2 June, 2006 1.30 to 4.30
PAPER 17
ALGEBRAIC GEOMETRY
Attempt THREE questions.
There are FOUR questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS SPECIAL REQUIREMENTS
Cover sheet None
Treasury

MATHEMATICAL TRIPOS Part III
Monday 6 June, 2005 1.30 to 4.30
PAPER 17
TOPICS IN ALGEBRAIC GEOMETRY
Attempt ALL questions.
Question 1 carries 10 marks
and the others 30 marks each.
STATIONERY REQUIREMENTS SPECIAL REQUIREMENTS
Cover sheet None
Treasury Tag

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
Monday 9 June 2003 1.30 to 4.30
PAPER 17
SYMPLECTIC GEOMETRY
Attempt THREE 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

MATHEMATICAL TRIPOS Part III
Thursday 31 May 2001 1.30 to 4.30
PAPER 17
CATEGORY THEORY
Attempt SIX 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 Invig

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
Tuesday 6 June, 2006 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
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 SPECIAL REQUIREMENTS
Cov

MATHEMATICAL TRIPOS Part III
Tuesday, 1 June, 2010 1:30 pm to 4:30 pm
PAPER 17
ALGEBRAIC TOPOLOGY
Attempt no more than FOUR questions.
There are FIVE questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS SPECIAL REQUIREMENTS
Cover

MATHEMATICAL TRIPOS Part III
Friday 4 June, 2004 9 to 12
PAPER 19
RIEMANNIAN GEOMETRY
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