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School of Mathematics

School of Mathematics

ICMS

New Directions for Stochastic Differential Equations and Machine Learning

Description

In recent years, the field of machine learning (ML) has seen tremendous progress, with many breakthroughs directly connected to the well-studied mathematical theory of Stochastic Differential Equations (SDEs). This increasingly fruitful relationship between SDEs and ML has produced several state-of-the-art innovations, ranging from Langevin algorithms in Bayesian learning to score-based diffusion models in computer vision.

This workshop aims to bring the SDE and ML communities closer together and “sow the seeds” for future interdisciplinary and impactful research. For example, we anticipate the following general themes will be explored:

•     SDE-inspired learning algorithms and architectures

•     Computational or learning-based algorithms for SDEs

•     Theoretical connections between SDEs and machine learning

•     Applications and areas of opportunity between disciplines

 Mathematicians and computer scientists (both established and early career) are encouraged to attend and, by embracing researchers with diverse interests, we hope to inspire new collaborations and directions for SDEs and ML.

https://www.icms.org.uk/SDEsandML

Attendee CategoryCost   
Registration Fee£150.00[Read More]
Research Students Conference in Population Genomics 2024

Research Students Conference in Population Genomics 2024

Description

The field of population genomics is one of the fastest growing areas of interdisciplinary research. It is the culmination of the developing relationship between big data, mathematics and biological understanding. The conference aims to address every facet of this emerging field through interdisciplinary collaboration. There is much recognition that the field of population genomics is multidisciplinary, and that many research groups are sparsely distributed throughout the UK. This conference aims to be a formal and structured setting, for postgraduate researchers, in which research can be discussed without the pressure of an overwhelming number of late stage career researchers being present.

https://www.maths.ed.ac.uk/school-of-mathematics/events/conferences/population-genomics-2024

Attendee CategoryCost   
1. UoE Postgraduate Researcher£140.00[Read More]
2. Non-UoE Postgraduate Researcher£140.00[Read More]
Early Careers Researchers in Combinatorics (ECRiC24)

Early Careers Researchers in Combinatorics (ECRiC24)

Description

This workshop aims to provide an opportunity for PhD students and postdocs to form new collaborations and generate new research in the areas of Extremal and Probabilistic, Geometric, and Structural Combinatorics.

https://www.icms.org.uk/ECRiC24

Attendee CategoryCost   
Registration Fee£150.00[Read More]
Rewilding Mathematics (A Mathematics for Humanity Programme)

Rewilding Mathematics (A Mathematics for Humanity Programme)

Description

Rewilding is a radical and sometimes controversial approach to ecosystem management which focuses on renewing ecosystem processes and enriching food webs of degraded ecosystems. It is distinguished from more traditional ecosystem restoration in a number of ways, including less predictable ecosystem dynamics, minimal human intervention in the long term, a willingness to embrace the emergence of novel ecosystems and a more inclusive relationship between people and nature.  In the context of rapidly changing environmental conditions, rewilding may often be the most pragmatic and powerful approach to restoring biodiversity and delivering improved ecosystem services (for example water purification, pollination, soil improvement, flood protection). The delivery of such services at large scale is seen as a key tool in adaptation to climate change and thus of direct benefit to humanity.
Rewilding is rapidly developing a scientifically grounded conceptual framework and it is crucial that mathematical and statistical concepts and applications are integrated at this early stage.  Despite the launching of a number of rewilding projects around the world, there has been a lack of quantitative protocols and therefore analytical rigour in testing for significant improvements in ecosystem service delivery and biodiversity gain.
The aim of ‘rewilding mathematics’ is to explore these issues by building new partnerships between the mathematical sciences and ecologists with expertise in rewilding. We hope that it will be a landmark in the formation of a scientific basis for rewilding.

https://www.icms.org.uk/RewildingMathematics

Attendee CategoryCostPlace(s) Available  
Registration fee£150.000[Read More]
HiGHS Workshop 2024

HiGHS Workshop 2024

Description

HiGHS Workshop 2024

workshop24.highs.dev

Attendee CategoryCostPlace(s) Available  
Academic£100.000[Read More]
Industry£200.000[Read More]
PhD Student£0.000[Read More]
The many facets of Kinetic Theory

The many facets of Kinetic Theory

Description

Kinetic theory is an area of mathematics which investigates systems that involve many elements using tools from Analysis of PDEs, Probability, and Numerical Analysis and Modelling. While originating in physical systems such as dilute gases, Kinetic Theory’s reach has expanded dramatically in recent decades to include biological, chemical, and even societal phenomena.

This ICMS workshop aims to bring together experts from various facets of Kinetic Theory to share their recent advances and discuss the future of the field. The workshop will also provide ample opportunities for early career researchers to present their research and engage with world renown experts in the field. 

The Many Facets of Kinetic Theory follows on the momentum generated by the INI-supported network, KineticNet which aims to facilitate cohesion, collaboration, and generate a sense of community between the different people working in the field of Kinetic Theory in the UK.

https://www.icms.org.uk/workshops/2024/many-facets-kinetic-theory

Attendee CategoryCost   
Registration fee£150.00[Read More]
ICMS

Mathematics of Voting and Representation

Description

A Mathematics for Humanity Workshop. This workshop will be centred on topics that lie in the intersection of mathematics and democracy. See webpage for full details and application form.

https://www.icms.org.uk/mathsofvotingandrepresentation

Attendee CategoryCostPlace(s) Available  
Registration Fee£150.000[Read More]
ICMS

Additive Combinatorics

Description

The aim of this workshop is to gather together experts from different subfields of additive combinatorics, to foster in-depth discussion of the legion of recent advances, and to explore avenues for future research.

https://www.icms.org.uk/AdditiveCombinatorics

Attendee CategoryCostPlace(s) Available  
Registration Fee£150.000[Read More]
https://www.icms.org.uk/BigData

UK Workshop on Spectral Theory

Description

Spectral Theory in the UK has a longstanding history, encompassing the influential works of scientists such as Titchmarsh, Born and Dirac. It naturally sits at the crossroads of numerous branches of mathematics, from the very pure to the more applied side of the subject, including but not limited to operator theory, analysis of PDEs, harmonic analysis, differential geometry, numerical analysis, number theory and mathematical physics.

https://www.icms.org.uk/BigData

Attendee CategoryCost   
Registration fee£150.00[Read More]
Recent Progress on Hilbert’s 12th Problem

Recent Progress on Hilbert’s 12th Problem

Description

Hilbert’s twelfth problem asks for explicit constructions of the abelian extensions of a given number field, similar to what is known for the rational numbers and for imaginary quadratic fields. These abelian extensions are known as class fields because their Galois groups are identified with certain generalized ideal class groups. In the two known cases, the class fields are obtained via the adjunction of roots of unity and of torsion points on elliptic curves with complex multiplication. These are special values of complex analytic functions – the exponential function and elliptic functions with complex multiplication. Hilbert may have envisioned the use of special values of complex analytic functions to construct class fields of more general base fields.

https://www.icms.org.uk/BigData

Attendee CategoryCost   
Registration fee£150.00[Read More]
p-adic Families of Automorphic Forms: Theories and Applications

p-adic Families of Automorphic Forms: Theories and Applications

Description

The idea of p-adic families of automorphic forms grew out of work of Serre and Swinnerton-Dyer in the 70s exploring congruences between the q-expansion coefficients of modular forms. Work of Hida, Coleman and Mazur made the investigation of p-adic families one of the central topics in the arithmetic of modular forms. In the following decades there were striking applications to the construction of p-adic L-functions, Iwasawa theory and modularity of Galois representations.

https://www.icms.org.uk/BigData

Attendee CategoryCostPlace(s) Available  
Registration fee£150.000[Read More]
ICMS

Classical Function Theory in Modern Mathematics

Description

This workshop will explore applications of classical function theory within modern mathematics. It will bring together researchers from a diverse collection of mathematical fields, whose common ground is that they use function theory to make major progress in their area of study.

These participants may not usually interact, but will be able to communicate mathematically due to their shared background in complex analysis, providing fertile ground for fruitful new interactions between subjects, and thereby for fundamental progress in many areas of mathematics.

The timing of the workshop has been chosen to also celebrate the 70th birthday of Professor Alexandre Eremenko (Purdue University), a world leader in function theory whose work has had a profound influence on a wide range of disciplines, including the theory of meromorphic functions, differential equations, dynamical systems, geometry (both differential and algebraic), potential theory, holomorphic curves, and theoretical physics.

www.icms.org.uk/workshops/2024/classical-function-theory-modern-mathematics

Attendee CategoryCostPlace(s) Available  
Registration Fee£150.000[Read More]
Birational Geometry and Number Theory

Birational Geometry and Number Theory

Description

Classifying varieties up to birational equivalence is one of the driving forces for modern research in algebraic geometry. Some of the greatest results in 20th and 21st Century algebraic geometry lie in birational geometry, with both Mori and Birkar awarded the Fields medal for their work in this area. Birational geometry has seen some very healthy and surprising interactions with number theory over the last decade.

 

Firstly, many of the existing techniques and results in birational geometry only work over the field of complex numbers, due to the use of transcendental methods. There has been a push to make these methods algebraic and make them work over algebraically closed fields of positive characteristic, or even non-algebraically closed fields. Number theory has also fed into birational geometry, with the realisation that rational curves should behave like rational points, i.e. solutions to Diophantine equations.

Recent developments suggest that there is much to be gained at the interface between number theory and birational geometry, and this workshop will be one of the first attempts in the form of an international meeting to explore these interactions.

https://www.icms.org.uk/workshops/2024/birational-geometry-and-number-theory

Attendee CategoryCostPlace(s) Available  
Registration fee£150.000[Read More]

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