# SIAM Chapter Meeting UK

This year the Oxford and Cambridge Student Chapter Conferences of SIAM took place on 2nd and 3rd of May. Thanks to our sponsors, we were able to send two representatives.

# Report 1 - Oxford

The SIAM chapter conference took place at the mathematical Institute of Oxford. Snacks and coffee were provided in small breaks in between the talks as well as during lunch break. These could be used in order to have interesting conversations with students from Oxford, most of them were PHD-students.

The beginning keynote was given by Dr. Petra Vertes (university of Cambridge), which was about an application of network theory in the field of neuro-science. Several approaches were investigated: The whole brain as a network with nodes representing certain areas of the brain and protein-protein-interaction networks.

The first student talk which was given after the introducing keynote was an application of traffic models in supermarkets in order to avoid waiting times for customers and in order to minimize walking distances for the customer. The second talk also focused on network theory by discussing temporal networks and multi-layer-networks.

The following presentations were all about fluid-dynamics. Especially interesting was Danny Groves' presentation (university of Cardiff), which analyzed the movements of droplets on chemically heterogeneous surfaces.

After a lunch break of one hour, the naturally following drop in concentration was avoided by including a poster session in the program. An interesting poster was a cooperation of Oxford university with MIT. The project was about a detection system for tsunamis. The underwater acoustic waves caused by eruptions are detected by the system and further analyzed. However, one challenge of the project was still to separate the noise of the ocean from the important eruption waves.

The following student talks in the afternoon were about reconstruction methods for inconsistent X-Ray images and about Markov-processes in limited time. Rachel Phillip explained how oil droplets in under warter leaks of oil pipelines are eaten by microbes. The last student presentation was about a modell for the flux of water through under water vegetation.

The ending key note was given by Dr. James Sprittles from Warwick university. It was about nanoscale free surface flows.

The ending of the day was in the Common Room of the Mathematical institute with Pizza and with drinks. Many thanks to Heidelberg University and to SIAM for making this very interesting day full of insights and inspriations connected to getting to know interesting students from Oxford universtiy possible!

# Report 2 - Cambridge

The conference started with an introduction of the progress of the SIAM chapter of Cambridge and mentioning some "big names" that had done talkes and participated in events organized by the SIAM chapter.

**Snap, Crack and Pop:Dynamic Elastic Instabilities**

Prof Dominic Vella from Oxford University

He elaborated on different aspects of elastic instabilities that can be used with intention rather to be avoided. WIth such motivation he presented various events in which elastic instabilities appear and he explained the mathematics behind following the thematic of "Snap, Crack and Pop".

**Semidefinite Approximations of the Matrix Logarithm**

Dr Hamza Faezi from University of Cambridge

The talked focused on the properties of the matrix logarithm, that is a crucial function in quantum information theory. He then followed to talk about how to find an semidefinite approximation of such function.

**ABC for surface PDE**

Charlie Elliott from University of Warwick

He focused on the analysis based modeling and computation especially for geometric bio-membranes. For running the simulation of these highly complex shapes he explained that they opted for using evolving triangular domains for discretizing the space and using evolving finite elements space.

**Approaches to modeling and remodeling biological tissues**

Prof Helen Byrne from University of Oxford

She talked about modeling biological tissues to understand the underling mechanics behind that cause and facilitate degeneration. She used an example for hyperoxia. Another example was the impaired wound healing in diabetic mice. Lastly she detailed how these models can help in tissue engineering for trying to regenerate cartilage.

**Multivariate Orthogonal Polynomials on Triangles and Spheres, for Solving PDEs **

Dr Sheehan Olve from Imperial College

He introduced orthogonal polynomials in dimensions bigger than 1. mainly focusing on triangles and spheres. He showed how you can use these polynomials for working with general functions and for solving PDEs. He then illustrated practical example in a library in Julia.

**Hydrodynamics of bacteriophage of P.Katsamba**

Bacteriophages have the ability of killing bacteria and this is worth studying for fighting antibiotics resistance. Bacteriophages use flagellar filaments for propelling their selves. She developed a mathematical model to describe the motion of bacteriophages.

**Insertion deletion channels and file synchronization problem of Mahed Abroshan **

He talked about the difficulty in reconstructing a defective signal or identifying what part of a signal has been modified with a low amount of data passed. His thesis focused on solving this type of problems.

**Capillary retraction of a stretched fluid edge of James Munro **

He described how surface tension causes in a wide variaty of phenomenon similar curves on the edges and he constructed a mathematical model to justify this.