TCC Current Courses

April to June 2023

Once we have added you to the MI-Teams group, you should receive an email saying you have been added to Nexus365 in Microsoft Teams, and you will need to click on the link "Open Microsoft Teams" in the email to complete the registration.

All lectures start on the week beginning 24 April 2023 and run for 8 consecutive weeks unless specified in the schedule below:

Interacting Particle Systems	Greg Pavliotis	Imperial	11:00 to 13:00 Tuesdays - On the 2nd of May, lecture will be from 10:00 - 12:00.
Circular ensembles in random matrix theory	Joseph Najnudel	Bristol	15:00 to 17:00 Tuesdays - No lecture on 2nd of May.
Systems Biology	Omer Karin	Imperial	10:00 to 12:00 on Wednesdays - No lecture on 3rd of May.
Algebraic methods in computational complexitiy theory	Abhiram Natarajan	Warwick	13:00 to 15:00 Wednesdays starting on the 3rd of May
Approximate Groups	Yifan Jing	Oxford	15:00 to 17:00 Wednesdays
Painleve differential equations in the complex plane	Thomas Bothner	Bristol	12:00 to 14:00 Thursdays
Umbral calculus: combinatorial, algebraic and analytical aspects	Eugene Lytvynov	Swansea	13:00 to 15:00 Fridays

January to March 2023

All lectures start on the week beginning 16 January 2023 and run for 8 consecutive weeks unless specified in the schedule below:

Statistical physics models in high dimensions	Antal Jarai	Bath	10:00 to 12:00 Mondays
Sobolev Spaces	Juan Davila Bonczos	Bath	14:00 to 16:00 Mondays
Von Neumann algebras	Andre Henriques	Oxford	10:00 to 12:00 Tuesdays
Affine Kac-Moody Lie algebras	Juan Villarreal	Bath	15:30 to 17:30 Tuesdays
An introduction to Ramsey Theory	Tom Johnston	Bristol	14:00 to 16:00 Wednesdays
Noncommutative Motives	Goncalo Tabuada	Warwick	10:00 to 12:00 Thursdays
Trees	Ric Wade	Oxford	10:00 to 12:00 Fridays

Advanced quantum Theory by Sebastian Müller (Bristol) - Please register for this course directly with the lecturer @email und use the Zoom link https://bristol-ac-uk.zoom.us/j/92815804410?pwd=bXArckxudUMwdUJFVDJtVTJNZHJvZz09.

Times for Advanced Quantum Theory are: Monday 11-11:50, Wednesday 10-10:50 and 12-12:50, Thursday 12-12:50pm from 23 Jan to 2 March (i.e. starting 1 week later than the other TCC courses and then going on for 6 weeks).

October - December 2022

All lectures will be presented via MS Teams and in order to sign up for any of the lectures, you need to email @email with your MS Teams email address. Please also state which courses you are interested in following. Registrations received after the 3rd of October 2022 may not be processed in time, so please register as early as possible. It may take a couple of days for you to be added, so do not be concerned if you do not receive a notification immediately.

All lectures start on the week beginning 10 October 2022 and run for 8 consecutive weeks unless specified in the schedule below:

Polytope Theory	Martin Winter	Warwick	10:00 to 12:00 Mondays
Quantum Spin Systems	Daniel Ueltschi	Warwick	14:00 to 16:00 Mondays
Formalising number theory and geometry	Kevin Buzzard	Imperial	16:00 to 18:00 Mondays No lecture on Monday the 7th of November - lecturer will arrange for a replacement lecture
Metric Diophantine Approximation	Sam Chow	Warwick	10:00 to 12:00 Tuesdays - No lecture on Tuesday the 8th of November - replacement lecture on Tuesday the 6th of December
Percolation Theory	Balint Toth	Bristol	10:00 to 12:00 Wednesdays - No lecture on Wednesday the 26th of October. Replacement lecture on Wednesday the 7th of December
Coarse Geometry of Groups and Spaces	David Hume	Bristol	Lecture Time Change 12:00 to 13:00 Mondays and 12:00 to 13:00 Wednesdays
Elements of philosophy of mathematics (a working mathematician perspective)	Tomasz Brzeziński	Swansea	11:00 to 13:00 Fridays

April to June 2022

All lectures will be presented via MS Teams and in order to sign up for any of the lectures, you need to email tcc@maths.ox.ac.uk with your MS Teams email address. Please also state which courses you are interested in following.

Please remember to register with your MS Teams email account. Once we have added you to the MI-Teams group, you should receive an email saying you have been added to Nexus365 in Microsoft Teams, and you will need to click on the link "Open Microsoft Teams" in the email to complete the registration.

All lectures start on the week begining 25 April 2022 and run for 8 consecutive weeks unless specified in the schedule below:

Representation theory and Lie theory	Lewis Topley	Bath	10:00 to 12:00 Mondays - No class on the 6th of June - class will be on Wednesday the 8th of June from 3 to 5pm.
Equivariant K-Theory	Henry Liu	Oxford	16:00 to 17:00 Mondays*
The Riemann zeta function: classical roots and modern approaches	Kyle Pratt	Oxford	13:00 to 15:00 Wednesdays
Riemann-Hilbert problems	Thomas Bothner	Bristol	10:00 to 12:00 Thursdays
Equivariant K-Theory	Henry Liu	Oxford	16:00 to 17:00 Thursdays*
Derived Algebraic Geometry	Dominic Joyce	Oxford	14:00 to 16:00 Fridays - No lecture on 10th June

* Equivariant K-Theory will have 2 x 1 hour lectures per week.

January to March 2022

All lectures start on the week begining 17 January 2022 and run for 8 consecutive weeks unless specified in the schedule below:

Optimal Cancer Therapy	Nigel Burroughs	Warwick	10:00 to 12:00 Mondays
Sobolev Spaces	Juan Davila Bonczos	Bath	10:00 to 12:00 Tuesdays
Forcing for Mathematicians	Philipp Schlicht	Bristol	14:00 to 16:00 Tuesdays
Harmonic maps and minimal surfaces in low dimensional geometry	Vladimir Markovic	Oxford	10:00 to 12:00 Wednesdays
Complex Manifolds and Kahler Geometry	Dominic Joyce	Oxford	14:00 to 16:00 Wednedsays
Linear Algebraic Groups	Adam Thomas	Warwick	10:00 to 12:00 Thursdays
Criticality theory for Schrödinger operators	Vitaly Moroz	Swansea	14:00 to 16:00 Thursdays
Interacting particle systems	Greg Pavliotis	Imperial	11:00 to 13:00 Friday

"Advanced quantum Theory" by Sebastian Muller (Bristol) - Please register for this course directly with the lecturer @email und use the Zoom link https://bristol-ac-uk.zoom.us/j/92815804410?pwd=bXArckxudUMwdUJFVDJtVTJNZHJvZz09.

Times for Advanced Quantum Theory are: Monday 14-14:50, Wednesday 10-10:50, Thursday 14-14:50pm, Friday 16-16:50pm (the latter only in some weeks) from 24 Jan to 11 March (i.e. 1 weeks after the TCC start and then going on for 7 weeks).

October to December 2021

All lectures will be presented via MS Teams and in order to sign up for any of the lectures, you need to email @email with your MS Teams email address. Please also state which courses you are interested in following.

All lectures start on the week begining 11 October 2020 and run for 8 consecutive weeks unless specified below:

Hilbert schemes and moduli spaces	Diane Maclagan	Warwick	10:00 to 12:00 Mondays - No class on 1st November - classes will run until the week of 13th December
Iwasawa Theory	Oscar Rivero-Salgado	Warwick	10:00 to 12:00 Tuesdays
The circle method and arithmetic harmonic analysis	Kevin Hughes	Bristol	14:00 to 16:00 Tuesdays
Statistical Physics with continuous symmetries: Symmetry breaking, long range order phase transitions	Balint Toth	Bristol	10:00 to 12:00 Wednesdays - Course starts on the 20th of October and additional lecture will be announced later.
Chiral conformal field theory	Andre Henriques	Oxford	16:00 to 17:00: Wednesdays
Distribution-dependent stochastic differential equations	Feng-Yu Wang	Swansea	10:00 to 12:00 Thursdays
Algebraic structures	Tomasz Brzezinski	Swansea	14:00 to 16:00 Thursdays
Ergodic Ramsey Theory	Joel Moreira	Warwick	16:00 to 18:00 Thursdays
Advanced singular SPDEs	Hendrik Weber	Bath	10:00 to 12:00 Fridays

April to June 2021

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	Please note time change 10:00 to 12:00 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

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

"Advanced quantum Theory" by Sebastian Muller - Please register for this course directly with the lecturer @email

Times for Advanced Quantum Theory are now: Monday 2-2:50pm, Tuesday 3-3:50pm, Wednesday 11-11:50am from 1 Feb to 17 March (i.e.2 weeks after the TCC start and then going on for 7 weeks).

There is still a slight possibility for change.

**If you are interested in Kevin Buzzard's course, please read below:

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 @email with your MS Teams email address.

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.