MATHEMATICAL TRIPOS Part III
Friday 6 June 2003 1.30 to 4.30
PAPER 27
MORSE 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 until
in
MATHEMATICAL TRIPOS Part III
Thursday 27 May, 2004 1.30 to 4.30
PAPER 28
ADVANCED PROBABILITY
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 pag
MATHEMATICAL TRIPOS Part III
Friday 3 June, 2005 9 to 11
PAPER 29
DIOPHANTINE ANALYSIS AND TRANSCENDENCE THEORY
Attempt TWO questions.
There are SIX questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS SPECIAL REQUIREMENTS
Cover s
MATHEMATICAL TRIPOS Part III
Friday 30 May 2003 9 to 12
PAPER 28
GEOMETRY OF 3-DIMENSIONAL MANIFOLDS
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 subse
MATHEMATICAL TRIPOS Part III
Wednesday 6 June 2007 1.30 to 3.30
PAPER 28
LOCAL FIELDS
Attempt THREE questions.
There are FOUR questions in total.
The questions carry equal weight.
Qp denotes the field of p-adic numbers, Fp the field with p elements, and n
MATHEMATICAL TRIPOS Part III
Friday 1 June 2007 9.00 to 11.00
PAPER 31
INFORMATION AND CODING
Attempt THREE questions.
There are FOUR questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS SPECIAL REQUIREMENTS
Cover sheet None
Treas
MATHEMATICAL TRIPOS Part III
Monday 5 June, 2006 1.30 to 3.30
PAPER 31
ROUGH PATH THEORY AND APPLICATIONS
Attempt THREE questions.
There are FOUR questions in total.
The question carry equal weight.
STATIONERY REQUIREMENTS SPECIAL REQUIREMENTS
Cover sheet
MATHEMATICAL TRIPOS Part III
Tuesday 14 June, 2005 9 to 12
PAPER 30
CYCLOTOMIC FIELDS
Attempt ALL questions.
There are FOUR questions in total.
The questions carry equal weight.
Notation: Throughout, p will denote an odd prime, and Zp the ring of p-adic
i
MATHEMATICAL TRIPOS Part III
Thursday 31 May 2001 9 to 11
PAPER 27
ACTUARIAL STATISTICS
Attempt 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 so by the
MATHEMATICAL TRIPOS Part III
Friday 4 June, 2004 9 to 12
PAPER 32
QUANTUM INFORMATION 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 page
MATHEMATICAL TRIPOS Part III
Wednesday 4 June 2008 9.00 to 12.00
PAPER 28
ELLIPTIC CURVES
Attempt ALL questions.
There are FOUR questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS SPECIAL REQUIREMENTS
Cover sheet None
Treasury ta
MATHEMATICAL TRIPOS Part III
Tuesday 4 June 2002 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 Part III
Thursday 8 June, 2006 9 to 11
PAPER 30
INFORMATION AND CODING
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
Thursday 5 June 2003 1.30 to 4.30
PAPER 30
INTERACTING PARTICLE SYSTEMS
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 subsequ
MATHEMATICAL TRIPOS Part III
Thursday 29 May 2008 1.30 to 3.30
PAPER 29
LOCAL FIELDS
Attempt no more than THREE questions.
There are FOUR questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS SPECIAL REQUIREMENTS
Cover sheet None
T
MATHEMATICAL TRIPOS Part III
Tuesday, 2 June, 2009 1:30 pm to 4:30 pm
PAPER 28
LOCAL FIELDS
Attempt no more than FOUR questions.
There are FIVE questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS SPECIAL REQUIREMENTS
Cover sheet
MATHEMATICAL TRIPOS Part III
Tuesday 6 June, 2006 9 to 12
PAPER 29
ELLIPTIC CURVES
Attempt ALL questions.
There are FOUR questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS SPECIAL REQUIREMENTS
Cover sheet None
Treasury Tag
Scrip
MATHEMATICAL TRIPOS Part III
Monday 31 May, 2004 1.30 to 4.30
PAPER 30
STOCHASTIC CALCULUS AND APPLICATIONS
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
MATHEMATICAL TRIPOS Part III
Thursday 8 June, 2006 1.30 to 3.30
PAPER 28
ANALYTIC NUMBER THEORY
Attempt TWO questions.
There are FIVE questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS SPECIAL REQUIREMENTS
Cover sheet None
Treas
MATHEMATICAL TRIPOS Part III
Wednesday 2 June, 2004 1.30 to 3.30
PAPER 31
LARGE DEVIATIONS AND QUEUES
Attempt THREE questions.
There are four questions in total.
The questions carry equal weight.
While rigorous answers are preferred, heuristic answers wil
MATHEMATICAL TRIPOS Part III
Friday 30 May 2003 1.30 to 3.30
PAPER 31
POISSON PROCESSES
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 un
MATHEMATICAL TRIPOS Part III
Wednesday 4 June 2008 1.30 to 4.30
PAPER 30
ERGODIC THEORY
Attempt no more than THREE questions.
There are FOUR questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS SPECIAL REQUIREMENTS
Cover sheet Non
MATHEMATICAL TRIPOS Part III
Tuesday, 2 June, 2009 1:30 pm to 4:30 pm
PAPER 30
STOCHASTIC NETWORKS
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
Tuesday 7 June, 2005 9 to 12
PAPER 28
PRIME NUMBERS
Attempt ONE question from each of Sections A, B and C.
There are SEVEN questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS SPECIAL REQUIREMENTS
Cove
MATHEMATICAL TRIPOS Part III
Friday 8 June 2007 9.00 to 12.00
PAPER 27
ELLIPTIC CURVES
Attempt ALL questions.
There are FOUR questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS SPECIAL REQUIREMENTS
Cover sheet None
Treasury Tag
S
MATHEMATICAL TRIPOS Part III
Friday 1 June 2001 9 to 12
PAPER 28
APPLIED STATISTICS
Attempt any FOUR questions. The questions carry equal weight.
Candidates will be handed appropriate pages of S-Plus5 output at the start of the examination.
You may not st
MATHEMATICAL TRIPOS Part III
Monday, 8 June, 2009 1:30 pm to 4:30 pm
PAPER 29
STOCHASTIC CALCULUS AND APPLICATIONS
Attempt no more than FOUR questions.
There are SIX questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS SPECIAL REQ
MATHEMATICAL TRIPOS Part III
Tuesday 1 June, 2004 9 to 11
PAPER 29
POISSON PROCESSES
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
MATHEMATICAL TRIPOS Part III
Thursday 7 June 2007 9.00 to 12.00
PAPER 30
ADDITIVE NUMBER THEORY
Attempt THREE questions, exactly ONE of these being from Section A.
There are SIX questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
MATHEMATICAL TRIPOS Part III
Monday 11 June 2007 1.30 to 4.30
PAPER 29
MODULAR FORMS
Attempt FOUR questions.
There are SIX questions in total.
The questions carry equal weight.
( )
a b
For any = SL2 (Z) we write f |[]k ( ) = (c + d)kf ( ).
c d
STATIONERY