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2021-22

Welcome to the webpage for the Warwick Mathematics Postgraduate Seminar.

This term, all talks will be held in B3.02 at 12 noon on Wednesday (except when stated otherwise). The seminar will take a hybrid format, so that students can join us virtually if they have (or prefer) too. The link to join the seminar virtually is:

https://teams.microsoft.com/l/channel/19%3a03cfab0d40e1472ba96ff4acbd8b1813%40thread.tacv2/W.O.M.P.S.%2520Channel?groupId=28126413-2303-4325-bf31-87a336c5b67e&tenantId=09bacfbd-47ef-4465-9265-3546f2eaf6bc 

In addition, there will be `coffee afternoon' at 1p.m immediately after the seminar, for those of us who still enjoy socialising.

Organisers: Lucas Lavoyer and Sunny Sood.

Term 1 2021-22 - The seminars are held on Wednesday 12:00 - 13:00 in B3.02 - Mathematics Institute.

Week 1: Wednesday 6th October

Hollis Williams - Noncommutative Geometry and CFTs

We give the abstract definition for QFTs and CFTs and then outline the applications of spectral triples (data sets which encode noncommutative geometries) in theoretical physics and field theory. We discuss an interesting connection between spectral triples and two-dimensional superconformal field theories which is relevant for string theory.

After the seminar, the first year PhD students are invited to take part in a 'Treasure Hunt' around the campus. This will be a great opportunity to have a bit of mid-week fun, learn where the important parts of the campus are and to get to know your fellow colleagues (in particular, who you'd rather not share an office with next year!).

In addition to this, the first year PhD students will also have to opportunity to take part in a `photoshoot' organised by the department. If you are interested, please make sure you are well dressed for the occasion!

Week 2: Wednesday 13th October

Ryan Acosta Babb - Lᵖ Convergence of Series of Eigenfunctions for the Equilateral Triangle

The eigenfunctions of the Laplacian on a rectangle give rise to the familiar Fourier series, whose Lᵖ convergence is well known. We will use this result to obtain Lᵖ convergence of series of trigonometric eigenfunctions of the Dirichlet Laplacian on an equilateral triangle. Along the way we will discuss some of the limitations of the argument owing to symmetry considerations.

Week 3: Wednesday 20th October

William O'Regan- Efficiently covering the Sierpinski carpet with tubes

We call a delta/2-neighbourhood of a line in R^d a tube of width delta. For a subset K of R^d it is an interesting problem to try and efficiently cover K with tubes as to try and minimise the total width of the tubes used. If for every epsilon > 0 we are able to find a collection of tubes which cover K with their total width less than epsilon we say that K is tube-null. The notion of tube-nullity has its roots in harmonic analysis, however, the notion is interesting in its own right. In the talk I will give an example of a set which is tube-null, the Sierpinski carpet, along with a rough sketch of its proof. If time permits I will discuss some open problems in the area along with their progress.

Week 4: Wednesday 27th October

No talk this week- Non-academic careers for postgraduate mathematicians & researchers

What are the career options for Masters & PhD Mathematicians who decide not to pursue an academic career? Post graduate mathematicians have an analytical and problem-solving skill set that is in demand, and there are a variety of very interesting career opportunities. In this interactive Q&A a panel of Warwick alumni will describe their career journey since graduation and share their hints and tips to help you plan a non-academic career. The panel will feature:

Mattia Sanna (Data Scientist at Methods Analytics: Warwick PhD Computational Algebraic Number Theory 2020)

Chris Gamble (Applied Engineering co-lead, DeepMind: Warwick MORSE 2009, University of Oxford DPhil Machine Learning & Bayesian Statistics 2014)

Huan Wu (Project Leader at Numerical Modelling and Optimisation Section, TWI: Warwick PhD Mathematics & Statistics 2017 Atomistic-to-Continuum Coupling for Crystal Defects)

Zhana Kuncheva (Senior Scientist - Statistical Genetics at Silence Therapeutics plc): Warwick BSc MORSE, Imperial PhD Mathematics & Statistics, modelling populations of complex networks)

Week 5: Wednesday 3rd November

Patience Ablett - TBA

Week 6: Wednesday 10th November

Muhammad Manji - TBA

Week 7: Wednesday 17th November

Solly Coles - TBA

Week 8: Wednesday 24th November

Nuno Arala Santos - TBA

Week 9: Wednesday 1st December

Jakub Takac - TBA

Week 10: Wednesday 8th December

Katerina Santicola - TBA