January to March 2021
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. Please also state which courses you are interested in following.
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 18 January 2021 and run for 8 consecutive weeks unless specified in the schedule below:
| Sobolev Spaces |
Juan Davila Bonczos |
Bath | 10:00 to 12:00 Mondays |
| Spectral theory of PDEs |
Ari Laptev |
Imperial | 14:00 to 16:00 Mondays |
| Malliavin calculus |
Martin Hairer |
Imperial | 10:00 to 12:00 Tuesdays |
| Symplectic Geometry |
Dominic Joyce |
Oxford | 14:00 to 16:00 Tuesdays |
| Introduction to three-manifolds |
Saul Schleimer |
Warwick | 10:00 to 12:00 Wednesdays |
| Integrable Probability |
Nikolaos Zygouras |
Warwick | 13:00 to 15:00 Wednesdays |
| Coarse Geometry of Groups and Spaces |
David Hume |
Bristol | 10:00 to 12:00 Thursdays |
| p-Adic Modular Forms |
Pak-Hin Lee |
Warwick | 14:00 to 16:00 Thursdays |
| Formalising Mathematics ** |
Kevin M Buzzard |
Imperial | 16:00 to 18:00 Thursdays |
| Topological Quantum Field Theory |
Minhyong Kim |
Warwick | 10:00 to 12:00 Friday |
No background in computer proof systems is required! We will start at the beginning. By January, you will need a computer with Lean installed (https://leanprover-community.github.io/get_started.html) to work on the exercises. As preparation for the course I recommend the natural number game http://wwwf.imperial.ac.uk/~buzzard/xena/natural_number_game/ , and the online tutorial Mathematics In Lean https://leanprover-community.github.io/mathematics_in_lean/ . Note also that I run a Discord server teaching Lean to mathematics undergraduates, with meetings every Thursday evening. This is happening right now; anyone interested in getting started ahead of January should drop me an email and I'll send them an invite.No background in computer proof systems is required! We will start at the beginning. By January, you will need a computer with Lean installed (https://leanprover-community.github.io/get_started.html) to work on the exercises. As preparation for the course I recommend the natural number game http://wwwf.imperial.ac.uk/~buzzard/xena/natural_number_game/ , and the online tutorial Mathematics In Lean https://leanprover-community.github.io/mathematics_in_lean/ . Note also that I run a Discord server teaching Lean to mathematics undergraduates, with meetings every Thursday evening. This is happening right now; anyone interested in getting started ahead of January should drop me an email and I'll send them an invite.
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:
|
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 |
| 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 |
|
|
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:
| 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:
|
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  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 |