Platform Grant: Warwick Mathematics Platform (WAMP)

Lead Research Organisation: University of Warwick
Department Name: Mathematics

Abstract

The Mathematics Department at Warwick has been invited to apply for a Platform Grant. Invitations were issued on the basis of the volume and profile of funding received from EPSRC.The Department is internationally leading with very strong research across Pure and Applied Mathematics. A Platform Grant will provide a baseline of funding to retain key staff between projects, to develop new collaborations, and to undertake feasibility studies and preliminary research work into new research directions. It will enhance the health and capability of the research base in the Department and allow us to improve our position in relation to EPSRC's strategic research agenda. In particular, it will enhance the Department's ability to contribute to new and emerging research challenges and to identify the mathematical areas in which we can have effective impact as contributors to transformative and cross-disciplinary research.

Planned Impact

Given the underpinning nature of Platform Grant support, the potential beneficiaries of WAMP include all those who might benefit from any mathematical research, or from any collaboration involving mathematicians, or from any research in the sciences or social sciences with significant mathematical input. This therefore covers academics in a wide range of disciplines, significant parts of the public sector, business and industry, and the public and society in general. A main aim of the proposed grant is to assist in positioning the Department in relation to EPSRC's strategic research agenda. It is therefore intended, in a very direct sense, that WAMP should have impact on and bring benefit to both the Department and EPSRC. WAMP activity, by improving the fit between academic mathematics departments and EPSRC's strategic priorities, should thereby enhance the impact and benefits accruing from EPSRC funding activity in mathematics and more generally. The form of potential benefits from mathematical research, particularly if well-aligned with EPSRC priorities, is as broad as the pool of potential beneficiaries. In addition, there will be more direct and immediate benefit from greater public understanding of the role of mathematics through the proposed series of public lectures.

Publications

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Laister R (2016) A complete characterisation of local existence for semilinear heat equations in Lebesgue spaces in Annales de l'Institut Henri Poincaré C, Analyse non linéaire

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Laister R (2013) Non-existence of local solutions for semilinear heat equations of Osgood type in Journal of Differential Equations

 
Description Advances in Geometric Analysis 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Advances in Geometric Analysis
A conference and workshop in honour of Rick Schoen's Schoen photo65th birthday
20-24 July 2015
Year(s) Of Engagement Activity 2015
URL http://www2.warwick.ac.uk/fac/sci/maths/research/events/2014-15/nonsymposium/aga/
 
Description Big data in biomedicine. Big models? 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Most statistical methods learn from data using probability models. Now that data has grown to become "big data" and the complexity of the inference is also bigger, should our models grow? If so, which of the old lessons still apply and which need to be revised?


The aim of the workshop is to provide a forum to discuss recent statistical modelling strategies to solve complex problems, with a focus on biomedicine, Bayesian methods and high-dimensional inference. Some specifics topics of interest are:

•Prior choice: objective approaches, model separation and the value of informative priors

•High-dimensional model selection, including graphical models and correlated data


•Bayesian non-parametrics

•Bioinformatics and medical applications
Year(s) Of Engagement Activity 2014
URL http://www2.warwick.ac.uk/fac/sci/statistics/crism/workshops/biomed-bigmodels
 
Description BrAG (British Algebraic Geometry) 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact BrAG will become a series of regular meetings of British algebraic geometers. Our goal is to create a series that further strengthens the British algebraic geometry community, and that integrates PG students and young researchers. The meetings will feature a number of pre-talks for graduate students, a poster session, and will include plenty of time for informal interactions between the participants.
Year(s) Of Engagement Activity 2014
URL http://www2.warwick.ac.uk/fac/sci/maths/research/events/2014-15/nonsymposium/brag/
 
Description Davis-Warwick Probability Workshop 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact The workshop is dedicated to developing ties among probabilists and statisticians at Warwick University, UC Davis and the Bay Area. The topics covered include but are not limited to the theory of point processes, random matrices, interacting particle systems, integrable probability and statistical mechanics.
Year(s) Of Engagement Activity 2015
URL http://www2.warwick.ac.uk/fac/sci/maths/research/events/2015-16/nonsymposium/dwp
 
Description Explicit Methods in Number Theory: Conference in Honour of John Cremona's 60th Birthday 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Explicit Methods in Number Theory:
Conference in Honour of Cremona's 60th Birthday

University of Warwick, 4-8 April 2016
Year(s) Of Engagement Activity 2016
URL http://www2.warwick.ac.uk/fac/sci/maths/research/events/2015-16/nonsymposium/emnt/
 
Description From mean-field control to weak KAM dynamics 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact From mean-field control to weak KAM dynamics





7-10 May 2012

Organisers: Astrid Hilbert, Vassili Kolokoltsov and Sebastian van Strien

supported by Linnaeus University, Sweden


MINICOURSES BY

Peter E. Caines: e-Nash Mean Field Games
Bruno Gaujal: Mean field for Markov Decision Processes: from Discrete to Continuous Optimization.
Diogo Aguiar Gomes: An introduction to mean-field games: the finite state space case
Patrick Bernard: Mather theory and applications
Year(s) Of Engagement Activity 2012
URL http://www2.warwick.ac.uk/fac/sci/maths/research/events/2011-2012/wkd/
 
Description Macaulay2 Workshop 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact The purpose of the workshop is to bring Macaulay2 developers together

with those who would like to share or develop their skills at writing

packages for Macaulay2 and those interested in developing the

corresponding mathematical algorithms. We are interested in participants

with a broad range of experience with Macaulay2, from very experienced

to novices. The novices will have the opportunity to learn about

Macaulay2 from the more experienced participants.
Year(s) Of Engagement Activity 2016
URL http://www2.warwick.ac.uk/fac/sci/maths/research/events/2015-16/nonsymposium/macaulay/
 
Description May 2013 School and Conference on Control and Games 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact This school and conference is the fourth in a series of Warwick Spring events on control and games. The meeting will be structured around mini-courses allowing speakers to fully develop a theme. The program will be completed by the talks of other experts on the recent trends in game theory.
Year(s) Of Engagement Activity 2013
URL http://www2.warwick.ac.uk/fac/sci/maths/research/events/2012-2013/nonsymp/cag/
 
Description Multiscale Inverse Problems 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact The scientific focus of this workshop will be subsurface inverse problems, from the applied, computational and theoretical standpoints.
Year(s) Of Engagement Activity 2013
URL http://www2.warwick.ac.uk/fac/sci/maths/research/events/2012-2013/nonsymp/mip/
 
Description Nagoya-Warwick workshop on Geometry of orbifolds, 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Nagoya-Warwick workshop on Geometry of orbifolds,
McKay correspondence and representation theory
Year(s) Of Engagement Activity 2014
URL http://www2.warwick.ac.uk/fac/sci/maths/research/events/2013-2014/nonsymp/mackay/
 
Description PIRE Workshop: Atomistic and Multi-Scale Models of Materials 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact The topic of the workshop is the interplay between microscopic material models and the corresponding macroscopic continuum theories. The development of methods which couple multiple length and time scales is one of the key challenges of the 21st century and requires significant mathematical input. The workshop will cover recent developments in dislocation theory, phase field crystals, coarse-grained simulation methods and stochastic modelling.
Year(s) Of Engagement Activity 2014
URL http://www2.warwick.ac.uk/fac/sci/maths/research/events/2014-15/nonsymposium/pire/
 
Description The Dynamics of Complex Systems: A meeting in honour of the 60th birthday of Robert MacKay FRS 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact This meeting is to survey how the mathematics of complex systems Robert MacKay(including dynamical chaos (dissipative and conservative), spatial-temporal chaos, and networks) is driving research in physics, biology, and economics, and to celebrate the mathematical and scientific work and influence of Robert MacKay FRS on the occasion of his 60th birthday.

The meeting will bring together leading researchers, establishing the current state of research at the interface of dynamical systems, complex systems, and real-world applications. Current research results and future directions will be disseminated to a wide audience including PhD students and early-career researchers. We expect to welcome participants with a broad scientific background from the UK, Europe, and internationally, in particular from the complex systems and nonlinear dynamics communities and from those developing applications of mathematics to ecology, epidemiology, systems biology, statistical physics, mechanics and finance.

The meeting has been badged to celebrate the sixtieth birthday of Professor Robert MacKay FRS, who has been a world-leading researcher in nonlinear dynamical systems and complexity science, most recently also interested in applying mathematics to the study of social systems. There will be a conference dinner in Robert's honour, with speeches focussing on his outstanding contribution to mathematics and science over the last 40 years and his influence on the careers of his many students, postdocs and collaborators, but the meeting itself will focus on current and future developments in this growing field, a field in which Robert himself continues to make major contributions.
Year(s) Of Engagement Activity 2016
URL http://www2.warwick.ac.uk/fac/sci/maths/research/events/2015-16/nonsymposium/dcs/
 
Description UK-Japan Workshop on Stochastic Analysis 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact UK-Japan Workshop on Stochastic Analysis 1-6 September 2014
The school will consist of short courses exposing the latest research developments and open topics in this area and their wider impact. Together with these there will be a full programme of other talks and opportunities for young researchers to present their work.
Year(s) Of Engagement Activity 2014
URL http://www2.warwick.ac.uk/fac/sci/maths/research/events/2014-15/nonsymposium/ujsas/
 
Description WPLMS: Diane Maclagan, Macaulay2Workshop 
Form Of Engagement Activity Participation in an open day or visit at my research institution
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Other audiences
Results and Impact Macaulay2 Workshop at Warwick, Diane MacLagan, 23-26 May 2016
The purpose of the workshop is to bring Macaulay2 developers together with those who would like to share or develop their skills at writing packages for Macaulay2 and those interested in developing the corresponding mathematical algorithms. We are interested in participants with a broad range of experience with Macaulay2, from very experienced to novices. The novices will have the opportunity to learn about Macaulay2 from the more experienced participants.
Year(s) Of Engagement Activity 2016
URL https://sites.google.com/site/macaulay2workshop2016/
 
Description WPLMS: Hendrik Lenstra (University of California at Berkeley and University of Leiden) Escher and the Droste Effect 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact This lecture is to shed light on the mind-bending art of Dutch artist Escher by taking a closer look at the mathematics behind his images. Professor Lenstra will look at Escher's 1956 work The Print Gallery, which depicts a swirling impossible world centred around a mysterious hole in the middle of the image.

The lecture will offer a fascinating insight into how art and maths work together. People often think of mathematics as something extremely specialised and abstract which is just not relevant to their daily lives. But the opposite is in fact true - mathematics runs through so much, whether it's the banking system or the music we listen to. It's not often you see mathematics and art together on the same bill but Escher's works are a great illustration of how the two are interlinked.
Year(s) Of Engagement Activity 2012
URL http://www2.warwick.ac.uk/fac/sci/maths/research/events/publiclectures/
 
Description WPLMS: Professor Cédric Villani (University of Lyon) 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact The scientific career of John Nash started with his celebrated contributions to "game theory", the subject of his doctoral thesis which he defended in 1950 at the age of 22. It is for this first contribution that he was awarded the economics Nobel prize in 1994!

After his PhD, John Nash turned to a very different area of mathematics. Between 1954 and 1958 he published three articles in which he proved three theorems that revolutionised mathematical analysis. For mathematicians, it is really for these three articles, more than for his work on game theory, that Nash deserves his place in the pantheon of mathematics. This talk will focus on one of these theorems by explaining its scope in simple terms and by insisting on the notion of regularity, central in Nash's work and in modern analysis in general.
Year(s) Of Engagement Activity 2014
URL http://www2.warwick.ac.uk/fac/sci/maths/research/events/publiclectures/
 
Description WPLMS: Professor Nando de Freitas (Professor of Computer Science, University of Oxford) 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Data and the Brain
The impact of big data on learning deep neural models for speech, image and language understanding

In our quest to build deep neural models to reproduce different brain functions, we have discovered that it is of paramount importance to understand how data shapes the brain. Models that are learned from data are the best at many tasks such as speech recognition, language modelling and image understanding --- e.g., detecting where faces occur in photos and recognizing road features for self-driving cars. In this talk, I will describe how neuroscience, statistics and computer science have influenced the design of deep neural models, which have won many recent prediction competitions and have become state-of-the-art in image recognition tasks and speech recognition. I will argue that at present the complexity of our models is so large that big data is essential to learn these models appropriately.
Year(s) Of Engagement Activity 2014
URL http://www2.warwick.ac.uk/fac/sci/maths/research/events/publiclectures/
 
Description WPLMS: Professor Sir Roy Anderson (Imperial) Plagues and People in the Modern World 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact The historical and epidemiological literature abound with accounts of infectious disease epidemics and of the concomitant effects on population abundance, social organisation and the unfolding pattern of historical events. Epidemics have long been a source of fear and fascination in human societies, but it is only in comparatively recent times that their origins and patterns have begun to yield their secrets through mathematical and scientific study.

The talk will examine the role played by predictive modelling in modern infectious disease epidemiology and will illustrate this by reference to past epidemics including the very recent H1N1 influenza pandemic (Did we overreact ? How can we better measure and predict pathogenicity? Will the H1N1 experience have a detrimental impact on how we respond to future epidemics?). The talk will also examine some of the neglected tropical diseases to address how can epidemiological modelling help the poorest societies in the world control infection and disease, and also help international agencies develop cost effective policies?
Year(s) Of Engagement Activity 2014
URL http://www2.warwick.ac.uk/fac/sci/maths/research/events/publiclectures/
 
Description Warwick-Seoul National University Symplectic Geometry Workshop 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact PARK Jongil of Seoul National University will be at Warwick Mon 17th-Sat 22nd Feb. The workshop will involve UK and some European specialists in Symplectic geometry and 4-manifold topology
Year(s) Of Engagement Activity 2014
URL http://www2.warwick.ac.uk/fac/sci/maths/research/events/2013-2014/nonsymp/sympgeom/
 
Description Workshop on Free Divisors 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Workshop on Free Divisors
Year(s) Of Engagement Activity 2010
URL http://www2.warwick.ac.uk/fac/sci/maths/research/events/2010-2011/freediv/