skip to content
Home

Summer Research Programmes

 

Summer Research in the Centre for Mathematical Sciences: 2024 projects

Summer Research in the Centre for Mathematical Sciences: 2024 projects

In summer 2024, a total of 68 students undertook a summer research project in the Centre for Mathematical Sciences.  The majority were arranged and funded / partially-funded by the SRIM programme, with the remainder happening as part of other summer project schemes across the university, though based in the CMS.*  

Below you will find a list of all the projects grouped loosely together by subject area. Where presentation slides or original project listings are available you will find links alongside the project titles. 

Department of Applied Mathematics and Theoretical Physics (DAMTP)

Department of Pure Mathematics and Mathematical Statistics (DPMMS)

 

2024 Summer Research in Maths (SRIM) project proposals

Not all summer projects in the CMS are the result of a specific project proposal advertised by a supervisor.  A final project is often arrived at following discussion between the student and their supervisor.  However, some specific projects and / or outlines are advertised.  If you would like to browse the list of projects advertised for summer 2024, you can find them via the link below: 

 

2024 Summer Research Festival

The Summer Research Festival takes place annually on the first Monday of Michaelmas Term.  It offers summer research students the chance to deliver a talk about their project to share what they have been working on and what they have learned.  All members of the Faculty are invited to attend, including students who are interested in doing a summer project in the future. 

Philippa Fawcett Interns and Cambridge Mathematics Open Interns (as well as others where appropriate) are invited to present at the CMP Presentation Day, which takes place earlier in the summer.  These programmes welcome participants from other universities and this presentation day happens during the timeframe of the internship. 

Below you will find a link to the schedules and programmes for both presentation days: 

 

Applied and Computational Analysis

Abdulkarim Alsayed Ramadan supervised by Hamza Fawzi (DAMTP)
Convex relaxations for ground state optimization

 

Nina Allmeier supervised by Zak Shumaylov and Carola-Bibiane Schönlieb (DAMTP)
Combining physics informed neural networks with learned regularisation  |  Project Listing 

 

Yizhen Chen supervised by Angelica Aviles-Rivero (Cambridge Image Analysis, DAMTP)
PDEs Through Deep Learning - Parameters learning enhancement on Biophysics informed Brain Tumour Segmentation  |  Project Listing  |  Slides 

 

Hyeon Kang supervised by Arieh Iserles (DAMTP)
Spectral methods for time-dependent PDEs  |  Project Listing

 

Adam Khan supervised by Orsola Rath Spivack (DAMTP)
Investigation of Regularization for Reconstruction of Randomly Rough Surfaces

 

Kitty Knight supervised by Henry Moss (ICCS, DAMTP) 
Automatic Climate Scientist - Gaussian processes in climate science.  

 

Sheng Han supervised by Zak Shumaylov and Carola-Bibiane Schönlieb (Cambridge Image Analysis, DAMTP) 
Deep neural networks in physics-based inverse imaging problems: Learned Regularisation using Bregman - Moreau envelope  |  Project Listing  |  Slides 

 

Xane Miles supervised by Arieh Iserles (DAMTP)
Spectral methods for time-dependent PDEs  |  Project Listing  |  Project Summary

 

Maria Osmova supervised by Arieh Iserles (DAMTP) 
Spectral methods for time-dependent PDEs  |  Project Listing  |  Slides 

 

Kishan Sharma supervised by Henry Moss (Institute of Computing for Climate Science, DAMTP)
Efficient Probabilistic Machine Learning Using Newton's Identities  |  Project Listing  |  Slides 

 

Charlie Shoebridge supervised by Ander Biguri (Cambridge Image Analysis, DAMTP)
Implementation of Multi-Scale Dense Networks for Computer Tomography Reconstruction - LION: A toolkit for neural network enhanced computer tomography  |  Project Listing 

 

Fluid and Solid Mechanics

Chloe Huang, Ciadh Takahashi, Hannah Woods and Louis de Neve supervised by John Taylor (Ocean Dynamics Group, DAMTP)
Modelling ocean carbon solutions (group project)  
Project Listing  |  Chloe's Slides  |  Ciadh's Slides  |  Project Summary (by Chloe)  |  Summary (by Hannah)

 

 

 

 

 

Safian Ali supervised by George Fortune (DAMTP)
The flash dynamics of bioluminescent biofilms under flow - Modelling Flash dynamics of Biofilms  

 

Isaac Bardon supervised by Amir Atoufi (DAMTP)
Boundary-driven wave breaking and mixing in stratified fluids

 

Haofei Chen supervised by Roly Perera (ICCS, Department of Computer Science and Technology)
Fluid: A Programming Language for Transparent, Self-Explanatory Research Outputs

 

Ed Hulme supervised by Kasturi Shah and Peter Haynes (DAMTP)
The fluid dynamics of smoke-filled vortices in the stratosphere

 

Talha Javed supervised by Ronojoy Adhikari (DAMTP)
Explainable artificial intelligence modelling for uncertainty quantification of photovoltaic output

 

Jay Manson-Whitton supervised by John Lister (DAMTP) 
Simple model of the stability and trajectory of a swimming bacterium  |  Slides 

 

Milosz Matraszek supervised by David Tong (DAMTP)
Fluid Dynamics Equations: Gauge Theories and Topology

 

Danyaal Rahman supervised by Ronojoy Adhikhari (DAMTP)
Geometric Field Theories for oriented active solids

 

Zhenya Tumarkin supervised by Jerome Neufeld (Centre for Climate Repair, DAMTP)
Bubble Curtains and Ice Sheets

 

High Energy Physics

Russell Bai supervised by Bob Knighton (DAMTP)
String Scattering in AdS spacetimes - Bosonic String in Anti-de Sitter Space  |  Slides 

 

General Relativity and Cosmology

George-Cristian Ardeleanu supervised by Miles Cranmer (DAMTP)
PySR-Tensor: Automating Scientific Discovery of Tensor Expressions with Artificial Intelligence

 

Katrina Ng supervised by Amelia Drew (Relativity and Gravitation Group, DAMTP)
Cosmic strings and boson stars  |  Project Listing  |  Slides  |  Project Summary 

 

Eliza Somerville supervised by Grigalius Taujanskas (DPMMS)
Asymptotic Decomposition of a Charged Scalar Field in de Sitter Space  |  Project Listing  |  Slides  |  Summary

 

Louis Strehlow supervised by Grigalius Taujanskas (DPMMS)
Maxwell-scalar field system and de Sitter space

 

Hangzhi Wang supervised by Harvey Reall (DAMTP)
Merging horizons

 

Ryan Wong supervised by Grigalius Taujanskas (DPMMS)
Asymptotic Decomposition of a Charged Scalar Field in de Sitter Space  |  Project Listing  |  Slides 

 

Mathematical Biology

Ashir Sharjeel supervised by Lloyd Fung (DAMTP)
Distinguishing mechanisms driving accumulation of stochastic swimmers near or away from surfaces  |  Project Listing 

 

Quantum Information

Calum McCartney supervised by Subhayan Roy Moulik (DAMTP) 
On developing numerical methods to simulate Out-of-Time-Order Correlation functions on emerging quantum computers - Measuring Butterfly Velocity in the XY Model on Emerging Quantum Computers  |  Slides 

 

DAMTP: Other

Lara Grant supervised by Marla Fuchs (ICCS, DAMTP)
Communications for the Institute of Computing for Climate Science - The role of Science Communications in a changing climate.  

 

Algebraic Geometry

Helia Kalanaki supervised by Jef Laga (DPMMS) 
Canonical Heights on Elliptic Curves  |  Slides  |  Project Summary 

 

Gun Kongarttagarn supervised by Jef Laga (DPMMS)
Experiments with canonical heights on elliptic curves

 

Dylan Toh supervised by Dhruv Ranganathan (DPMMS)
Moduli spaces of curves and intersection theory  |  Slides 

 

Zhichen Zhou supervised by Fatemeh Rezaee (DPMMS)
Algebraic geometry, combinatorics, and machine learning  |  Project Listing 

 

Analysis and Partial Differential Equations

Mara-Ioana Postolache supervised by Clément Mouhot (DPMMS) 
Infinite-dimensional geometry of diffusions - Otto Calculus and Gradient Flows on the Infinite-Dimensional Manifold of Probability Measures  |  Slides 

 

Combinatorics

Hynek Jakes supervised by András Zsák (DPMMS)
Isometric embedding of finite metric spaces

 

Jonathan Gai supervised by Andjela Sarkovic (DPMMS)
Small Set Expansion of Configuration Model with Community Structure

 

Ben Gillott supervised by Imre Leader (DPMMS)
Get out from Underneath  |  Slides 

 

Sean Jaffe supervised by Marcelo Campos (DPMMS)
Majority Dynamics in Graphs  |  Project Listing 

 

Jack Leonida and Sida Li supervised by Jan Petr (DPMMS)
Upper bounds on third eigenvalues of adjacency matrices - Structure of Graphs with External Third Eigenvalue  |  Project Listing 

Jack and Sida have prepared the below pre-prints following their work on the project: 

 

James Sarkies supervised by Oliver Janzer (DPMMS)
The Codegree Density - A Turán Problem in Hypergraphs.

 

Fredy Yip supervised by Imre Leader (DPMMS)
Infinite maze navigation

 

Differential Geometry and Topology

Yasna Aminaei Chatroodi, Andrew Florescu, Aaron Kim, and Rose Conway, supervised by Henry Wilton (DPMMS) 
Surfaces, graphs and commutators (group project)  |  Project Listing  |  Project Summary (by Yasna) 

 

 

 

 

 

Alexia Ascott supervised by Fatemeh Rezaee (DPMMS)
Tangent space to the Hilbert schemes of points  |  Project Listing 

 

Number Theory and Algebra

Amy Needham supervised by Martin Hyland (DPMMS)
Dual Perspectives on Tannaka Duality  |  Slides 

 

Maia Woolf supervised by Martin Hyland (DPMMS)
Constructing algebraic theories via distributive laws  |  Slides  |  Project Summary 

 

Probability, Applied Probability and Mathematical Finance

Ryan Hu supervised by Po-Ling Loh (Statistical Laboratory, DPMMS) 
Analyzing the persistence of centroids in random tree models - Probability Bounds on Persistent Centroid Appearance in Random Growing Trees  |  Slides 

 

 

 

 

 

Marios Stamoulis supervised by Andjela Sarkovic (DPMMS)
The Range of Random Walk Bridges  |  Slides 

 

Statistics

Douglas Barnes supervised by Richard Nickl (DPMMS)
Functional Analysis - On low frequency inference for diffusions without the hot spots conjecture

 

Jerry Ding supervised by Po-Ling Loh (Statistical Laboratory, DPMMS)
Differential Privacy

 

Ethan D'souza supervised by Po-Ling Loh (Statistical Laboratory, DPMMS)
Private Estimation of SBMs

 

Tomáš Flidr supervised by Po-Ling Loh (Statistical Laboratory, DPMMS)
Differentially private estimation in random graphs

 

Alex Gibson and Shuaipeng Wu supervised by Rajen Shah (DPMMS)
Distribution Shift in Statistics and Machine Learning (group project)  |  Project Listing 

 

Aditya Jambhale supervised by Richard Nickl (DPMMS)
Consistent Inference For Diffusions From Low Frequency Measurements

 

Haruka Watanabe supervised by  Ioannis Kontoyiannis (DPMMS)
Entropy and Information - The ‘Distance’ Between Brain Network States

 

John Yu supervised by Po-Ling Loh (Statistical Laboratory, DPMMS)
Private synthetic data

 

DPMMS: Other

Robert Simpson supervised by Benedikt Löwe (DPMMS)
Consistency strength hierarchies  |  Slides 

 

List of Individual Summer programmes

  • 38 Summer Research in Maths (SRIM)
  • 6 Philippa Fawcett Internships
  • 3 Cambridge Mathematics Open Internships
  • 3 Institute of Computing for Climate Science (ICCS) Internships
  • 2 Centre for Climate Repair
  • 2 Undergraduate Research Opportunities (UROP)
  • 2 School of Physical Sciences STEM Widening Participation Internships
  • 7 Trinity College Summer Studentships
  • 3 Kings College Summer Research programme
  • 2 x Martingale Projects 

Study at Cambridge

About the University

Research at Cambridge