TCC Current Courses

October to December 2020

All lectures will be presented via MS Teams and in order to sign up for any of the lectures, you need to email gradstud@maths.ox.ac.uk with your MS Teams email address.

If you already have a MS Teams account, please send us your Teams email address and make sure it is the email address registered in Teams as you will otherwise be asked to create another Teams account which would be very confusing. If you have multiple addresses the easiest way to check your Teams address is to go to https://myaccount.microsoft.com/ and login to it with your work account.

If you do not have a MS Teams account yet, please email us your preferred email address and please then download and install MS Teams from http://teams.microsoft.com/downloads, but do not login yet. Whilst it can be used in browser, you will get a better experience by installing the application on a Windows, Mac or Linux computer. You will then receive an invitation to create a guest Teams account when we add you to the TCC and you can then use that account within the newly installed application

All lectures start on the week begining 12 October 2020 and run for 8 consecutive weeks unless specified in the schedule below:

Please note - Ambrus Pal's lecture has moved from Mondays at 2:00pm to Fridays at 2:00pm

Variational Analysis and Evolutionary Equations

Charlie Elliott Warwick  11:00 to 13:00 Mondays
Chiral conformal field theory Andre Henriques Oxford 10:00 to 12:00 Tuesdays

Martingale approximation and scaling limits for additive functionals of Markov processes

Balint Toth Bristol 10:00 to 12:00 Wednesdays
D-modules Clemens Koppensteiner Oxford 10:00 to 12:00 Thursdays
Topics in Algebraic Geometry Tim Dokchitser Bristol 14:00 to 16:00 Thursdays
Singular Stochastic PDE Hendrik Weber Bath 10:00 to 12:00 Fridays
Algebraic Geometry II Ambrus Pal Imperial 14:00 to 16:00 Fridays

 

 

April - June 2019 

There are no courses currently scheduled for Trinity term. 

 

January - March 2020

All lectures start on the week beginning 20 January 2020 and run for 8 consecutive weeks unless specified in the schedule below:

Kahler geometry

Dominic  Joyce   

Oxford 10:00 to 12:00 Mondays
Introduction to Algebraic Geometry

Ambrus Pal

Imperial 14:00 to 16:00 Mondays - Course starts on Monday 13 January  and there will be no lecture on the 2nd of March.
Spectral theory of PDE's

Ari Laptev

Imperial 10:00 to 12:00 Tuesdays
Introduction to Graph Homology

Karen Vogtmann

Warwick 13:00 to 15:00 Tuesdays
Advanced quantum theory Sebastian Muller Bristol 11:00 to 13:00 Wednesdays starting on 29th of January for 8 weeks. Lecture change: Wednesday 18 March 11-1pm to Monday 16 March 3-5pm
Advanced PDEs 

Ben Pooley 

Bath 14:00 to 16:00 Wednesdays
Introduction to regularity structures Martin Hairer Imperial  10:00 to 12:00 Thursdays
An Introduction to p-adic L-functions Chris Williams  Warwick 14:00 to 16:00 Thursdays
Algebraic Curves

Miles Reid

Warwick 10:00 to 12:00 Fridays
Stochastic Homogenization Hendrik Weber  Bath

14:00 to 16:00 Fridays - No lecture on the 7th of February.

Replacement lecture on the 20th of March

 

October - December 2019

All lectures start on the week beginning 14 October 2019 and run for 8 consecutive weeks unless specified in the schedule below:

Discrete Stochastic Analysis Nikolaos Zygouras Warwick

 

10:00 to 12:00 Mondays 

 

Introduction to Bruhat-Tits buildings Marcelo De Martino Oxford

 

14:00 to 16:00 Mondays

 

Sobolev Spaces Karsten Matthies  Bath

 

10:00 to 12:00 Tuesdays

 

Intro Analysis

 

Kevin Hughes

 

Bristol

10:00 to 12:00 Wednesdays starting on the 9th of October 2019 for 8 weeks. 

Groups and Representations Alexander Ivanov Imperial

 

13:00 to 15:00 Wednesdays - Please note there will be an additional lecture on Wednesday 11th December 13:00 to 15:00 

 

Derived categories of coherent sheaves Clemens Koppensteiner Oxford

10:00 to 12:00 Thursdays 

No lecture on the 14th of November

Replacement lecture on the 12th of December from 10:00 to 12:00

Topics in Analysis

Boguslaw Zegarlinski,

José Carrillo,

Gustav Holzegel

 

Imperial

 

13:00 to 15:00 Thursdays - starting on the 24th of October for 8 weeks.  

Zegarlinski 24-31 Oct & 7 Nov, Introduction to coercive inequalities
Carrillo      14-21-28 November, Aggregation-Diffusion Equations
Holzegel    5-12 December, Non-linear Wave Equations

Borel equivalence relations and group actions  Philipp Schlicht 

 

Bristol

 

This TCC course has been cancelled - any queries can be directed to gradstud@maths.ox.ac.uk

 

Homological Algebra  

 

David Loeffler Warwick

10:00 to 12:00 Fridays

First lecture starts on Friday the 11th of October and there will be no lecture on Friday the 18th of October.

       

April - June 2019 

All lectures start on the week beginning 29 April 2019 and run for 8 consecutive weeks unless specified in the schedule below:

Fine properties of Brownian motion and their applications

Juan Carlos 

Bath

10:00 to 12:00 Tuesdays - No lecture on 14/05/19 and 28/05/19

Replacement lectures on Thursday 23/05/19 and Thursday 06/06/19 from 10:00 to 12:00

Calculus on Schemes  Tiago Jardim Da Fonseca Oxford  

13:30 to 15:30 Tuesdays - No lecture on the 7/05/19

Replacement lecture on Friday 14/06/19 from 14:00 to 16:00

Complex algebraic surfaces Thomas Prince Oxford

14:00 to 16:00 Thursdays - No lecture on 20/06/19

Replacement lectures on Monday 13/05/19 from 14:00 to 16:00

The Banach-Tarski Paradox, the von Neumann-Day conjecture  Cornelia Drutu Oxford

10:00 to 12:00 Fridays - No lecture on Friday 3rd of May - Replacement lecture on Thursday 13th of June, 9 am to 11 am

Lecture on Friday the 17th of May will take place from 14:00 to 16:00.

No lecture on Friday June 21, replacement lecture on Monday June 24th, 9 am to 11 am.

Introduction to Gauge Theory  Yuuji Tanaka Oxford

14:00 to 16:00 Fridays - No lecture on 17/05/19 and 14/06/19

Replacement lectures on Thursday 30/05/19 and 20/06/19 from 10:00 to 12:00

January - March 2019 

All lectures start on the week beginning 14 January 2019 and run for 8 consecutive weeks unless specified in the schedule below:

Advanced Quantum Theory 

Sebastian Muller Bristol

11:00 to 13:00 Mondays - Lectures start on 28/01/19 for 8 weeks

Introduction to outer space and automorphisms of free groups  Karen Vogtmann Warwick 14:00 to 16:00 Mondays - No lecture on 21/01/19, extra lecture on 11/03/19
Groups and Representations  Alexander Ivanov Imperial 11:15 to 13:15 Tuesdays - Lectures start on 22/01/19 for 8 weeks
Introduction to p-adic cohomology Ambrus Pal Imperial 14:00 to 16:00  Tuesdays - Lectures start on 22/01/19 for 8 weeks
Topics in geometric measure theory  Andras Mathe Warwick 11:00 to 13:00  Wednesdays - Additional lecture on 13/03/19
D-modules 

Andreas Bode 

Oxford 14:00 to 16:00  Wednesdays - No lecture on 27/02, extra lecture on 13/03.
Introduction to the Euler Equations for incompressible fluids  Michele Coti-Zelati               Imperial 11:00 to 13:00 Thursdays
Symplectic resolutions and singularities  Travis Schedler Imperial 14:00 to 16:00 Thursdays
Descriptive Combinatorics  Oleg Pikhurko Warwick 16:00 to 18:00 Thursdays
Sobolev mappings into manifolds: nonlinear tools for the approximation, extension and lifting problems  Jean Van Schaftingen Oxford 11:00 to 13:00 Fridays
Advanced PDEs  Johannes Zimmer Bath 13:00 to 15:00 Fridays

October - December 2018

All lectures start on the week beginning 8 October 2018 and run for 8 consecutive weeks unless specified in the schedule below:

Abelian Sandpiles and related topics 

Dr Antal Jarai

Bath

9:15 to 11:15 Mondays

Introduction to SPDEs Prof Martin Hairer Imperial 14:00 to 16:00 Mondays
Sobolev Spaces* Dr Karsten Matthies Bath 10:00 to 12:00 Tuesdays, *Extra lecture on Tuesday the 4/12/18.
Analysis and geometry on groups  Prof Andrzej Zuk Imperial 14:00 to 16:00 Tuesdays
Percolation  Prof Balint Toth Bristol 10:00 to 12:00 Wednesdays
Combinatorial Algebraic Geometry Dr Fatemeh Mohammadi Bristol 10:00 to 12:00 Thursdays
Modular forms and representations of GL(2)  Dr David Loeffler Warwick

14:00 to 16:00 Thursdays

No lecture on 8/11/18, replacement lecture on 06/12/18

Mathematical Foundations of Reinforcement Learning Dr Dante Kalise Imperial

10:00 to 12:00 Fridays 

No lecture on 30/11/18, replacement lecture on 07/12/18

Fundamental groups in arithmetic and algebraic geometry  Dr Netan Dogra Oxford 14:00 to 16:00 Fridays

 

April-June 2018

All lectures start on week beginning 23rd April 2018 and run for 8 consecutive week unless specified otherwise in the schedule below:

Quasi-isometric rigidity of lattices in higher rank simple Lie groups Prof. C. Drutu Oxford Friday 10am to 12pm
Representation theory of GL_2 and the local Langlands correspondence, Prof. David Helm Imperial

Thursdays 11am-1pm (starting Thursday 3rd May)

Additional lecture Tuesday 12th June 11am-1pm.

 

January- March 2018

All lectures start on week beginning 15th January 2018 and run for 8 consecutive week unless specified otherwise in the schedule below:

 

Advanced PDEs Prof. J. Zimmer Bath 1pm-3pm Fridays
Advanced Quantum Theory Dr S. Muller Bristol 2pm-4pm Thursdays (Lectures begin 25th January)
Applied Dynamical Systems Prof. C. Dettmann Bristol 10am-12pm Thursdays (Lectures begin on 25th January
An Introduction to 3-Manifolds Prof S. Schleimer Warwick 10am-12pm Wednesdays
Dimensions and Embedding Prof, J. Robinson Warwick 10am-12pm Mondays
Introduction to Optimal Transport and Gradient Flows 
PDF icon PDEsTCC (1).pdf
Prof. J. Carrillo Imperial 10am-12pm Fridays
L Functions Prof. K. Buzzard Imperial 4pm-6pm Thursdays
Numerical Methods for Hyperbolic Conversion Laws Prof. W. Shen Oxford 2pm-4pm Tuesdays
Poisson Processes and Point Patterns Prof. M Penrose Bath 3pm-5pm Mondays
Totally Disconncted Locally Compact Groups Dr D. Hume Oxford 2pm-4pm Wednesdays

 

 

 

October - December 2017

All lectures start on week beginning 9th October 2017 and run for 8 consectutive weeks unless specified otherwise in the schedule below:

 

Combinatorial Commutative Algebra Dr F. Mohammadi Bristol

9am-11am Wednesdays

Groups and Representations Prof. A. Ivanov Imperial 1pm-3pm Mondays
Introduction to Coercive Inequalities Prof. B.Zegarlinski Imperial

10am-12pm Fridays

No lecture on 20th October, replacement lecture on 8th December

Numerical PDEs Dr Y. Tourigny Bristol

1pm-3pm Fridays

Lectures begin on 29th September and end on 17th November

Random Dynamical Systems Prof. J. Lamb Imperial 11am-1pm Wednesdays
Riemann's Hypothesis Prof. R Mackay Warwick

12.10 to 2pm Tuesdays

No lecture on 31st October, replacement lecture on 5th December

Introduction to Schemes Prof. D. Maclagan Warwick 10am-12pm Thursdays
Sobolev Spaces Prof. J Sivaloganathan Bath

10.15am to 12.05pm Tuesdays

No lecture on 28th November, replacement lecture on 5th December

Additional lecture on 12th December

Weil Conjectures Dr P. Ziegler Oxford

10am-12pm Mondays

Lectures begin on Monday16th October