Fri, 15 Nov 2024

14:00 - 15:00
L1

Managing your Dissertation

Dr Chris Hollings and Dr Neil Laws
Abstract

This session is particularly aimed at fourth-year and OMMS students who are completing a dissertation this year. For many of you this will be the first time you have written such an extended piece on mathematics. The talk will include advice on planning a timetable, managing the workload, presenting mathematics, structuring the dissertation and creating a narrative, and avoiding plagiarism.

Fri, 08 Nov 2024

14:00 - 15:00
L1

What's it like to do a DPhil/research?

Abstract

This week's Fridays@2 will be a panel discussion focusing on what it is like to pursue a research degree. The panel will share their thoughts and experiences in a question-and-answer session, discussing some of the practicalities of being a postgraduate student, and where a research degree might lead afterwards.

Fri, 01 Nov 2024

14:00 - 15:00
L1

Study skills: Time-management

Abstract

This week's Fridays@2 will feature a panel discussion on how to manage your time during your degree. The panel will share their thoughts and experiences in a Q&A session, discussing some of the practicalities of juggling lectures, the many ways to study independently and non-maths activities. 

Fri, 25 Oct 2024

14:00 - 15:00
L1

How to Write a Good Maths Solution

Dr Luciana Basualdo Bonatto
Abstract

In this interactive workshop, we'll discuss what mathematicians are looking for in written solutions. How can you set out your ideas clearly, and what are the standard mathematical conventions? Please bring a pen or pencil!

This session is likely to be most relevant for first-year undergraduates, but all are welcome.

Fri, 18 Oct 2024

14:00 - 15:00
L1

Making the Most of Intercollegiate Classes

Dr Luciana Basualdo Bonatto, Prof. Dmitry Belyaev, Dr Chris Hollings and Dr Neil Laws
Abstract

What should you expect in intercollegiate classes?  What can you do to get the most out of them?  In this session, experienced class tutors will share their thoughts, and a current student will offer tips and advice based on their experience.

All undergraduate and masters students welcome, especially Part B and MSc students attending intercollegiate classes. (Students who attended the Part C/OMMS induction event will find significant overlap between the advice offered there and this session!)

Thu, 05 Dec 2024

16:00 - 17:00
L1

The Art of Cancer Modelling

Prof. Mark Chaplain
(University of St. Andrews)
Further Information

Mark Chaplain is the Gregory Chair of Applied Mathematics at the University of St. Andrews. 

Here's a little about his research from the St. Andrews website:

Research areas

Cancer is one of the major causes of death in the world, particularly the developed world, with around 11 million people diagnosed and around 9 million people dying each year. The World Health Organisation (WHO) predicts that current trends show the number rising to 11.5 million in 2030. There are few individuals who have not been touched either directly or indirectly by cancer. While treatment for cancer is continually improving, alternative approaches can offer even greater insight into the complexity of the disease and its treatment. Biomedical scientists and clinicians are recognising the need to integrate data across a range of spatial and temporal scales (from genes through cells to tissues) in order to fully understand cancer. 

My main area of research is in what may be called "mathematical oncology" i.e. formulating and analysing  mathematical models of cancer growth and treatment. I have been involved in developing a variety of novel mathematical models for all the main phases of solid tumour growth, namely: avascular solid tumour growth, the immune response to cancer, tumour-induced angiogenesis, vascular tumour growth, invasion and metastasis. 

The main modelling techniques involved are the use and analysis of nonlinear partial and ordinary differential equations, the use of hybrid continuum-discrete models and the development of multiscale models and techniques. 

Much of my current work is focussed on what may be described as a "systems approach" to modelling cancer growth through the development of quantitative and predictive mathematical models. Over the past 5 years or so, I have also helped develop models of chemotherapy treatment of cancer, focussing on cell-cycle dependent drugs, and also radiotherapy treatment. One of the new areas of research I have started recently is in modelling intracellular signalling pathways (gene regulation networks) using partial differential equation models. 

The long-term goal is to build a "virtual cancer" made up of different but connected mathematical models at the different biological scales (from genes to tissue to organ). The development of quantitative, predictive models (based on sound biological evidence and underpinned and parameterised by biological data) has the potential to have a positive impact on patients suffering from diseases such as cancer through improved clinical treatment.

Further details of my current research can be found at the Mathematical Biology Research Group web page.

Abstract

In this talk we will provide an overview of a number of mathematical models of cancer growth and development - gene regulatory networks, the immune response to cancer, avascular solid tumour growth, tumour-induced angiogenesis, cancer invasion and metastasis. In the talk we will also discuss (the art of) mathematical modelling itself giving illustrations and analogies from works of art. 

 

 

Tue, 17 Sep 2024
13:00
L1

TBA

Vija Balasubramanian
(UPenn)
Fri, 07 Feb 2025
16:00
L1

Introduction to geometric Langlands

Dennis Gaitsgory
(MPI Bonn)
Abstract
I'll explain the evolution of the ideas that led to geometric Langlands from the
historical perspective.
Fri, 09 Aug 2024
16:00
L1

Topology and the Curse of Dimensionality

Gunnar Carlsson
(Stanford University)
Abstract

The "curse of dimensionality" refers to the host of difficulties that occur when we attempt to extend our intuition about what happens in low dimensions (i.e. when there are only a few features or variables)  to very high dimensions (when there are hundreds or thousands of features, such as in genomics or imaging).  With very high-dimensional data, there is often an intuition that although the data is nominally very high dimensional, it is typically concentrated around a much lower dimensional, although non-linear set. There are many approaches to identifying and representing these subsets.  We will discuss topological approaches, which represent non-linear sets with graphs and simplicial complexes, and permit the "measuring of the shape of the data" as a tool for identifying useful lower dimensional representations.

Fri, 07 Jun 2024

16:00 - 17:00
L1

Fluid flow and elastic flexure – mathematical modelling of the transient response of ice sheets in a changing climate CANCELLED

Prof Jerome Neufeld
(University of Cambridge)
Further Information

Jerome A. Neufeld

Professor of Earth and Planetary Fluid Dynamics
Centre for Environmental and Industrial Flows
Department of Earth Sciences
Department of Applied Mathematics and Theoretical Physics
University of Cambridge
 

Research interests: The research in the Earth and Planetary Fluid Dynamics group focuses on using mathematical models and laboratory experiments to understand the fluid behaviour of the Earth and other planetary bodies. Current research interests include the consequences of subglacial hydrology on supraglacial lake drainage and the tidal modulation of ice streams, the solidification of magma oceans and the early generation of magnetic fields on planetary bodies, the erosive dynamics of idealised river systems, the emplacement and solidification of magmatic flows, viscous tectonic mountain building, and the general fluid dynamics of geological carbon storage.

Abstract

The response of the Greenland and Antarctic ice sheets to a changing climate is one of the largest sources of uncertainty in future sea level predictions.  The behaviour of the subglacial environment, where ice meets hard rock or soft sediment, is a key determinant in the flux of ice towards the ocean, and hence the loss of ice over time.  Predicting how ice sheets respond on a range of timescales brings together mathematical models of the elastic and viscous response of the ice, subglacial sediment and water and is a rich playground where the simplified models of the contact between ice, rock and ocean can shed light on very large scale questions.  In this talk we’ll see how these simplified models can make sense of a variety of field and laboratory data in order to understand the dynamical phenomena controlling the transient response of large ice sheets.

 

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