TCC Current Courses

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



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


Derived categories of coherent sheaves Clemens Koppensteiner Oxford


10:00 to 12:00 Thursdays 


Topics in Analysis

Boguslaw Zegarlinski,

José Carrillo,

Gustav Holzegel




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 




15:00 to 17:00 Thursdays - First lecture 17 October ; last lecture 5 December

No lectures on 7th November and 21st November. 

Replacements: Tuesday 29th October 13:00 to 15:00 and Friday 15th November 13:00 to 15:00


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 


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

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


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