Forthcoming Seminars

Please note that the list below only shows forthcoming events, which may not include regular events that have not yet been entered for the forthcoming term. Please see the past events page for a list of all seminar series that the department has on offer.

Past events in this series
24 April 2018
17:00
Abstract

The Simonyi Lecture is an annual lecture under the auspices of the Charles Simonyi Professor for the Public Understanding of Science, Marcus du Sautoy. It is not part of the Oxford Mathematics Public Lectures series but its themes and topics touch not only on mathematics but the wider natural sciences and beyond. All are very welcome and there is no need to register.

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In this year’s Simonyi Lecture Geoffrey West discusses universal laws that govern everything from growth to mortality in plants, animals, cities and companies. These remarkable laws originate in the networks that sustain life from circulatory to social systems and help us address big, urgent questions from population explosion, urbanization, lifespan and cancer, to the accelerating pace of life and global sustainability. Why do we stop growing and live about 100 years rather than 1000, or just two like mice? Why do we sleep eight hours a day and not three like elephants? Why do all companies and people die whereas cities keep growing? How are these related to innovation, wealth creation, and “singularities”? And is any of this sustainable? 

Geoffrey West is a theoretical physicist whose primary interests have been in fundamental questions in physics, biology and social organizations  West is a distinguished professor at the Sante Fe Institute, where he served as the president from 2004-2008. He is author of the recent best-selling book 'Scale'.

 

 

26 April 2018
12:00
Florian Schweiger
Abstract

We consider the discrete Bilaplacian on a cube in two and three dimensions with zero boundary data and prove estimates for its Green's function that are sharp up to the boundary. The main tools in the proof are Caccioppoli estimates and a compactness argument which allows one to transfer estimate for continuous PDEs to the discrete setting. One application of these estimates is to understand the so-called membrane model from statistical physics, and we will outline how these estimates can be applied to understand the phenomenon of entropic repulsion. We will also describe some connections to numerical analysis, in particular another approach to these estimates based on convergence estimates for finite difference schemes.

  • PDE CDT Lunchtime Seminar
26 April 2018
14:00
Prof. Ron DeVore
Abstract


A very common problem in Science is that we have some Data Observations and we are interested in either approximating the function underlying the data or computing some quantity of interest about this function.  This talk will discuss what are best algorithms for such tasks and how we can evaluate the performance of any such algorithm.
 

  • Computational Mathematics and Applications Seminar
26 April 2018
16:00
to
17:30
Zorana Grbac
Abstract

In this talk we present a framework for discretely compounding
interest rates which is based on the forward price process approach.
This approach has a number of advantages, in particular in the current
market environment. Compared to the classical Libor market models, it
allows in a natural way for negative interest rates and has superb
calibration properties even in the presence of persistently low rates.
Moreover, the measure changes along the tenor structure are simplified
significantly. This property makes it an excellent base for a
post-crisis multiple curve setup. Two variants for multiple curve
constructions will be discussed.

As driving processes we use time-inhomogeneous Lévy processes, which
lead to explicit valuation formulas for various interest rate products
using well-known Fourier transform techniques. Based on these formulas
we present calibration results for the two model variants using market
data for caps with Bachelier implied volatilities.

  • Mathematical and Computational Finance Seminar
26 April 2018
16:00
to
17:30
José Bico
Abstract

Tubing issues: 

- Moving a sphere in a narrow pipe

What is the force required to move an object inside a narrow elastic pipe? The constriction by the tube induces a normal force on the sphere. In the case of solid friction, the pulling force may  be simply deduced from Coulomb’s law. How does is such force modified by the addition of a lubricant? This coupled problem between elasticity and viscous flow results in a non-linear dependence of the force with the traction speed.

- Baromorphs

When a bicycle tyre is inflated the cross section of the pipe increases much more than its circumference. Can we use this effect to induce non-isotropic growth in a plate?  We developed, through standard casting techniques, flat plates imbedded with a network of channels of controlled geometry. How are such plates deformed as pressure is applied to this network? Using a simplified mechanical model, 3D complex shapes can be programmed and dynamically actuated. 

  • Industrial and Applied Mathematics Seminar
26 April 2018
16:00
James Maynard
Abstract

Let $f_1,\dots,f_k$ be real polynomials with no constant term and degree at most $d$. We will talk about work in progress showing that there are integers $n$ such that the fractional part of each of the $f_i(n)$ is very small, with the quantitative bound being essentially optimal in the $k$-aspect. This is based on the interplay between Fourier analysis, Diophantine approximation and the geometry of numbers. In particular, the key idea is to find strong additive structure in Fourier coefficients.

  • Number Theory Seminar
27 April 2018
12:00
Oliver Vipond
Abstract

Single parameter persistent homology has proven to be a useful data analytic tool and single parameter persistence modules enjoy a concise description as a barcode, a complete invariant. [Bubenik, 2012] derived a topological summary closely related to the barcode called the persistence landscape which is amenable to statistical analysis and machine learning techniques.

The theory of multidimensional persistence modules is presented in [Carlsson and Zomorodian, 2009] and unlike the single parameter case where one may associate a barcode to a module, there is not an analogous complete discrete invariant in the multiparameter setting. We propose an incomplete invariant derived from the rank invariant associated to a multiparameter persistence module, which generalises the single parameter persistence landscape in [Bubenik, 2012] and satisfies similar stability properties with respect to the interleaving distance. Our invariant naturally lies in a Banach Space and so is naturally endowed with a distance function, it is also well suited to statistical analysis since there is a uniquely defined mean associated to multiple landscapes. We shall present computational examples in the 2-parameter case using the RIVET software presented in [Lesnick and Wright, 2015].

  • Applied Algebra and Topology

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