Previous CDT Events
Previous CDT Events (2020-21)
This graduate school provided a learning and interacting opportunity for PhD students and young researchers in Vietnam & Asian countries with PhD students in EPSRC Centre for Doctoral training "Mathematics of Random Systems" in Imperial College London and University of Oxford. The school consists of two series of lectures (5 hours each) and a special research presentation section given by participants and invited speakers.
Invited lectures:
1. Prof. Dan Crisan (Imperial College London, United Kingdom)
Lecture: Particle Filters for Data Assimilation
2. Prof. Franco Flandoli (Scuola Normale Superiore di Pisa, Italia)
Lecture: An introduction to random dynamical systems for climate
A chance for our 1st and 2nd year students to get together in person with our fcaulty members over dinner.
Branca Garden, Oxford
Students will have the chance to choose from real life problems set by industry and acdemic partners to work on in small groups.
Students worked on projects with BBC News Labs, DataSig and Fidelity.
At the end of the two weeks the students present their research to other students, CDT directors and our project partners. A prize is then awarded for the best project.
Current first year students will be presented mini-projects to choose and work from as part of Random Systems CDT course structure . The event will be held on Zoom and will not be recorded, attendance is compulsory to all year 1 students.
Weekly short talks from our first year CDT students with discussion encouraged.
| Thursday 29 April | 2:00 Matthew Buckland 2:30 Ziheng Wang |
| Thursday 6 May | 2:00 Luca Gerolla 2:30 Matheus Manzatto de Castro 3:00 Andrea Clini |
| Thursday 27 May | 2:00 Laszlo Mikolas 2:30 Wei Xiong |
| Thursday 3 June | 2:00 Dan Leonte 2:30 Philipp Jettkant 3:00 Yuriy Shulzhenko |
| Thursday 10 June | 2:00 Martin Geller 2:30 Fabrice Wunderlich 3:00 Thomas Tendron |
| Thursday 17 June | 2:00 Michael Giegrich 2:30 Aldair Petronilia 3:00 Ben Joseph |
| Thursday 24 June | 2:00 Marcello Monga 2:30 Deborah Miori 3:00 Filippo De Angelis |
The BBC News Lab gave the current first year students an online presentation on their "University Challenge" mini-project which students may choose to complete. The event will be recorded and broadcasted to students only.
Algebraicity and Randomness
In this talk, I will give an overview of my work which studies random algebraic structures and random processes in algebraic settings. The first part will focus on one of my main research areas, which is topological data analysis. Here, an important tool that I use in my research is persistent homology, which produces an algebraic object known as a persistence diagram. Persistence diagrams are computed from data sets, and are therefore random algebraic structures. In the second part, I will present my research on sets of phylogenetic trees which are symbolic objects that model many important data processes in biology and otherfields, and therefore, they are random data objects. In my work, I study the specific setting of phylogenetic trees that live in an algebraichyper surface. In both settings, I will talk about some open problems I'm currently thinking about.
Michael Barany, Lecturer in the History of Science at the University of Edinburgh.
This will combine an orientation on core concepts for responsible research and societal contexts of mathematics with discussion activities to support critical engagement and group cohesion and accountability. Materials and activities will draw on current debates in mathematics and its applications relevant to the CDT as well as historical examples and sources. This will be delivered in a format designed to promote dialogue within the cohorts.
Weekly seminar for new students. Tuesdays at 1.45
| 13 October | Justin Sirignano | Asymptotics in Deep Learning: Law of Large Numbers and Central Limit Theorems |
| 20 October | Jose Carrillo |
Aggregation-Diffusion and Kinetic PDEs for collective behavior: applications in the sciences |
| 27 October | Dmitry Belyaev |
Two topics on the interface of probability and analysis. |
| 3 November | Ruth Baker | Mathematical and computational challenges ininterdisciplinary bioscience: stochastic models of biological processes. |
| 10 November | Jan Obloj | A quick journey through Robust Finance: embeddings, optimal transport, pathwise stochastic calculus, neural nets and more |
| 17 November | Jon Keating | Random Matrix Theory and its applications: a perspective |
| 24 November | Rama Cont |
Excursion theory and applications in mathematical finance
|
| 1 December | Matthias Winkel | Combinatorial up-down chains and their diffusive continuum limits |
In the CDT Gather space. All students welcome.
The space is open all hours, so feel free to arrange meetings at other times.
Previous CDT Events (2019-20)
Dr Carissa Veliz (Uehiro Centre for Practical Ethics, Oxford)
1. Introduction to practical ethics
2. Ethical issues specific to data science
3. Ethical concerns about data science, AI and related technologies
We will discuss what practical ethics is, how it is done, why it matters, how it is different from law, and why we need it. We will then discuss issues specific to ethics of data science—what sets it apart from other kinds of practical ethics, such as medical ethics. Finally, we will discuss some of main ethical concerns regarding data science, AI and related technologies, and illustrate them with real-world cases, discussing as an example the role of apps tackling the coronavirus pandemic.
The 2020 Summer School "Mathematics of Random Systems: Analysis, Modelling and Algorithms" was held in Döllnsee (Germany) in partnership with the Berlin-Oxford International Research Training Group (IRTG) Stochastic Analysis in Interaction with two series of lectures by
- Prof. Francois Delarue (Université de Nice) Mean field games
- Richard Nickl (University of Cambridge) Bayesian inverse problems, Gaussian processes, and partial differential equations
Participants from the CDT joined the meeting remotely.
Dan Crisan, Stochastic transport partial differential equations
Ajay Chandra, Singular Stochastic Partial Differential Equations and Quantum Field Theory
Michele Coti Zelati, Diffusion and mixing in fluids: the mathematics of your cup of tea
Damiano Brigo, Option pricing, rough paths and historical vs implied volatility
An afternoon of talks and discussion from
Ilya Chevyrev Low-dimensional quantum Yang Mills measures
and
Goncalo Dos Reis Ito-Wentzell-Lions formula for measure-dependent random fields
This was followed by a dinner at St Hugh's college Oxford.
| October 17 | Justin Sirignano | Deep Learning: Asymptotics and Financial Applications |
| October 22 | Christoph Reisinger | Solving high-dimensional PDEs with deep neural networks |
| October 29 | Christina Goldschmidt | Random minimum spanning trees |
| November 5 | Dmitry Belyaev | Gaussian fields: analysis, probability and geometry |
| November 12 | Terry Lyons | Rough paths and Data Science |
| November 19 | Julien Berestycki | Brownian bees and free boundary problems |
| November 26 | Doyne Farmer | Problems in complexity economics |
| December 3 | Harald Oberhauser | Learning and testing laws of stochastic processes |
Research presentations from Tom Cass, Greg Pavliotis, Mauricio Barahona, Eyal Neumann, Johannes Muhle-Karbe, Philipp Thomas, Pietro Siorpaes and Martin Rasmussen.
New students joined CDT directors and administrators at a Q&A session.
This was folowed by a student trip for a round of golf in the city centre.
Directors, faculty members and administrators welcomed our first cohort of 16 students to the CDT.
This was followed by a drinks reception in the Oxford Mathematical Institute and a dinner at St Hugh's College Oxford.
