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Lecture Notes 4 [PDF 11,848KB]

Measure Theory Notes Week 4 [PDF 55KB]

 

 

Note on Basic and Advanced courses

Providing they have the pre-requisites, and the agreement of their supervisors, first year research students may choose to take one or more Advanced modules in place of Basic modules.

Registration

All students must register for LTCC courses by completing the online form on the Registration page. (Please note that attendance impacts departmental contributions, therefore students are encouraged to register and deregister correctly.)

(Please note that a fee of £185 per course is payable for students who do not belong to an LTCC member department.)

Register today

 

Assessments

'Light' assessments are held for every basic and advanced course. Basic exams will take place in the Spring term, usually in April. Assessments for advanced courses will take place at the end of each module. First year students are expected to take four assessments, although exceptions will apply in individual cases. Please check with your supervisors to confirm how many exams you should be taking.

 

Timetable 2019-2020

 

All lectures take place in the conference rooms at De Morgan House unless otherwise stated.

Lectures take place every Monday over five weeks (unless otherwise stated). For abstracts please click on the links in the table below. Links to notes are also provided where available. Please note that the rooms are subject to change.

The course leaflets, with a brief summary of each course, can also be viewed and downloaded by clicking the links below:

 

Basic Courses Leaflet 2019-2020 [PDF 162KB]

Advanced Courses Leaflet 2019-2020 [PDF 162KB]

 

7 October - 4 November 2019

 

10.50am-12.50pm

 

Measure Theory Basic Dr. Robert Simon De Morgan House

Measure Theory Abstract 2019-20 [PDF 7KB] 

Measure Theory Notes Week 1 [PDF 120KB]

Measure Theory Notes Week 2 [PDF 68KB]

Measure Theory Notes Week 3 [PDF 56KB]

Measure Theory Notes Week 4 [PDF 55KB]

Measure Theory Notes Week 5 [PDF 58KB]

Measure Theory 2019 Exercise 1 [PDF 21KB]

Measure Theory 2019 Exercises 2 [PDF 17KB]

Measure Theory 2019 Exercises 3 [PDF 57KB]

Measure Theory 2019 Exercises 4 [PDF 20KB]

Measure Theory 2019 Exercises 5 [PDF 19KB]

Note from lecturer:

"In the proof of the monotone convergence for simple functions, I erroneously mentioned the case where the target function f might have  infinite or unbounded values. Simple functions are defined only for  function with finitely many finite values, hence the case does not come  up. Simple functions are always bounded, hence the argument in the  lecture is sufficient without any recourse to what happens where the  values might be infinite or unbounded."

10.50am - 12.50pm

Models

 
Basic  Dr. Oliver Kerr  De Morgan House  Models Abstract 2019-20 [PDF 11KB]

1pm-3pm

Advanced Computational Methods in Statistics Advanced Dr. Nikolas Kantas

Imperial

South Kensington Campus

Room 642

Huxley Building

 

Advanced Computational Methods in Statistics Abstract 2019-20 [PDF 30KB]

1pm-3pm

Introduction to Applied Topology Basic Dr. Primoz Skraba De Morgan House

Introduction to Applied Topology Abstract 2019-20 [PDF 9KB] 

Lecture Notes 1 [PDF 12,325KB]

Applied Topology Problems 1 [PDF 591KB]

Noise (Applied Topology) [DOC 9KB]

Circle (Applied Topology) [DOC 1KB]

Noisy Circle (Applied Topology) [DOC 6KB]

 

Lecture Notes 2 [PDF 13,548KB]

Lecture Notes 3 [PDF 11,993KB]

Lecture Notes 4 [PDF 11,848KB]

 

1pm-3pm

Note:

Final lecture is online on Friday 8 November 2019

Dynamical Functional Equations and Their Applications Basic Dr. Ben Mestel De Morgan House Dynamical Functional Equations Abstract 2019-20 [PDF 55KB] 

3.10pm-5.10pm

Introduction to Geometric Analysis on Manifolds Advanced Prof. Ovidiu Munteanu De Morgan House

Introduction to Geomteric Analysis on Manifolds Abstract 2019-20 [PDF 58KB] 

Introduction to Geometric Analysis on Manifolds Course Notes 2019-2020 [PDF 396KB]

 

3.10pm-5.10pm

Applied Bayesian Methods Basic Prof. Petros Dellaportas De Morgan House Applied Bayesian Methods Abstract 2019-20 [PDF 17KB] 

3.10pm-5.10pm

Waves Scattering and Resonances Basic Dr. Dmitry Savin De Morgan House Waves Scattering and Resonances Abstract 2019-20 [PDF 96KB]

 

11 November - 9 December 2019

 

10.50am-12.50pm

Measure-theoretic Probability Basic Prof. Alexander Gnedin De Morgan House

 

Measure-theoretic Probability Abstract 2019-2020 [PDF 236KB]

 

10.50am-12.50pm

The Mathematical Theory of Compressible Viscous Flow Advanced Dr. Ewelina Zatorska De Morgan House The Mathematical Theory of Compressible Viscous Flow Abstract 2019-20 [PDF 111KB] 

1pm-3pm

Examples of Moduli Spaces in Algebraic Geometry Advanced Prof. Nicholas Shepherd-Barron De Morgan House Examples of Moduli Spaces in Algebraic Geometry Abstract 2019-20 [PDF 8KB]
1pm-3pm Stochastic Processes Basic Dr. Ardo van den Hout De Morgan House

Stochastic Processes Abstract 2019-20 [PDF 10KB]

Stochastic Processes Lecture Notes (Link to External Website)

1pm-3pm Maximum Entropy Models for Complex Networks Basic Prof. Ginestra Bianconi De Morgan House

Maximum Entropy Models of Complex Networks Abstract 2019-20 [PDF 86KB]

Maximum Entropy Models of Complex Networks - Week 1 [PDF 2,298KB]

 

3.10pm-5.10pm Cohomology in Groups Advanced Dr. Brita Nucinkis De Morgan House Cohomology of Groups Abstract 2019-20 [PDF 8KB]
3.10pm-5.10pm Fundamental Theory of Statistical Inference Basic Prof. Alastair Young De Morgan House

FTSI Abstract 2019-20 [PDF 72KB]

Lecture Notes and slides (Link to External Website)

 

13 January - 10 February 2020

 

10.50am-12.50pm Representation Theory of Compact Lie Groups Basic Prof. Michael Singer De Morgan House

 

Representation Theory of Compact Lie Groups Abstract 2019-20 [PDF 78KB]

10.50am-12.50pm

Theory of Linear Models Basic  Prof. Steven Gilmour De Morgan House Theory of Linear Models Abstract 2019-20 [PDF 10KB]
10.50am-12.50pm Integrable Systems Basic Prof. Rod Halburd De Morgan House Integrable Systems Abstract 2019-20 [PDF 9KB] 
1pm-3pm Graph Theory Basic Dr. Peter Allen De Morgan House Graph Theory Abstract 2019-20 [PDF 6KB]

1pm-3pm

Value of L-functions Advanced Dr. Luis Garcia De Morgan House Values of L-functions Abstract 2019-20 [PDF 60KB]
3.10pm-5.10pm Homological Algebra Basic Prof. Markus Linckelmann De Morgan House Homological Algebra Abstract 2019-20 [PDF 22KB]

3.10pm-5.10pm

Mathematical Topics in General Relativity Advanced Dr. Juan Valiente-Kroon De Morgan House Mathematical Topics in General Relativity Abstract 2019-20 [PDF 24KB]

 

17 February - 16 March 2020

 

10.50am-12.50pm Asymptotic Methods and Statistical Applications Advanced Dr. Heather Battey De Morgan House

 

Asymptotic Methods and Statistical Applications Abstract 2019-20 [PDF 9KB]

10.50am-12.50pm

Introduction to Harmonic Analysis Basic Prof. Sasha Sodin De Morgan House Introduction to Harmonic Analysis Abstract 2019-20 [PDF 8KB]

10.50am-12.50pm

Analytical Methods Basic Prof. Rod Halburd De Morgan House Analytical Methods Abstract 2019-20 [PDF 9KB]

1pm-3pm

Representation Theory of p-adic Groups Basic  Dr. James Newton De Morgan House Representation Theory of p-adic Groups Abstract 2019-20 [PDF 9KB]

1pm-3pm

Introduction to the Modern Theory of Scattering Advanced  Dr. Jeffrey Galkowski De Morgan House
1pm-3pm Orthogonal Polynomials and Special Functions Advanced Dr. Ana Loureiro De Morgan House Orthongonal Polynomical and Special Functions Abstract 2019-20 [PDF 44KB]
3.10pm-5.10pm Topics in the Design of Experiments Advanced Dr. Steve Coad De Morgan House Topics in the Design of Experiments Abstract 2019-2020 [PDF 76KB]

3.10pm-5.10pm

Riemannian Holonomy Groups Advanced Dr. Lorenzo Foscolo De Morgan House Riemannian Holonomy Groups Abstract 2019-20 [PDF 10KB]

 

 

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