April to June 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. 

All lectures start on the week begining 26 April 2021 and run for 8 consecutive weeks unless specified in the schedule below:

C*-algebras	Stuart White	Oxford	10:30 to 12:30 Tuesdays
Vertex Algebras	Dominic Joyce	Oxford	14:00 to 15:00 Tuesdays
Moduli spaces of Riemann Surfaces	Vladimir Markovic	Oxford	10:00 to 12:00  Wednesdays
Algebraic topology: a non-topologists' view	Johannes Nordstrom	Bath	13:30 to 15:30  Wednesdays
Exactly solvable models in statistical mechanics	Thomas Bothner	Bristol	13:30 to 15:30  Thursdays
Index Theory of Elliptic Operators	Markus Upmeier	Oxford	10:00 to 12:00 Fridays

 

 

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	11:00 to 13:00 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	11:00 to 13:00 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:

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  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