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2025 SRIM projects

Summer Research in the Centre for Mathematical Sciences: 2025 projects

In summer 2025, a total of 65 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)

 

2025 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: 

 

2025 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

Moonis Haider supervised by Davide Murari (Cambridge Image Analysis)
Symplectic Neural Networks for Modelling and Discovery  |  Project Listing 

Claudia Franco supervised by Davide Murari (Cambridge Image Analysis)
Symplectic Neural Networks for Modelling and Discovery  |  Project Listing  |  Presentation Slides

Fin Gilder supervised by Anders Hansen (Applied Functional and Harmonic Analysis)
Rigorous Checkers for Neural Networks in PDEs and Computer Assisted Proof

William Lauga supervised by Carola Bibiane Schoenlieb (Cambridge Image Analysis)
Electrical Impedance Tomography (EIT) 

Shota Uka supervised by Carola Bibiane Schoenlieb (Cambridge Image Analysis)
Nonlinear eigenvalue problems  |  Project Summary  |  Presentation Slides

 

Astrophysics

Nancy Chen supervised by Gorgon Ogilvie (Astrophysics)
Non-circular discs in binary systems  |  Project Summary

Rahul Kesavan and Luca Swinnerton supervised by David Hosking (Astrophysics)
High-confinement operation of a levitated-dipole fusion reactor  |  Project Listing

Zac Owen supervised by Loren E. Held (Astrophysical Fluid Dynamics)
Vertical oscillations in accretion disks with dust or radiation  |  Project Listing

 

Fluid and Solid Mechanics

Morgan Billings supervised by Orsola Rath Spivack (Waves)
Focusing phenomena for wave propagation in a random media

Erin Keeling supervised by Eric Lauga (Biological Physics & Mechanics)
Mathematical Model of Flow Shear Transmission by Biological Membranes

Walter Liu supervised by Quentin Kriaa (Environmental and Industrial Fluid Dynamics)
Removal and large-scale cycling of aerosols in experiments

Jay Manson-Whitton supervised by John Lister
The shape of an intruding viscous finger in a tube or Hele-Shaw cell

Rebecca Maver, Adam Michaels and Reuben Price supervised by Duncan Hewitt (Fluid Dynamics, Geophysics)
Hydrothermal circulation near mid-ocean ridges  |  Rebecca's Project Summary

Dyuti Milir supervised by Orsola Rath Spivack (Waves)
Focusing phenomena for wave propagation in a random media  |  Project Summary

Zac Owen supervised by Loren E. Held (Astrophysical Fluid Dynamics)
Vertical oscillations in accretion disks with dust or radiation  |  Project Listing

Isaac Simmonite supervised by Alison Ming (Atmosphere Ocean Dynamics)
Ozone Feedbacks in the Stratosphere  |  Project Listing

Seren Strong-Wright supervised by John R. Taylor (Atmosphere Ocean Dynamics)
Biogeochemical data assimilation into OceanBioME

James White supervised by Sebastian Schemm (Atmosphere Ocean Dynamics)
Variability of North Atlantic storms

 

High Energy Physics

Prabhoda Chandra Sarjapur supervised by Ben Allanach (High Energy Physics)
Neutrino Masses and Mixings in the 3B3-Le-2Lmu Model

 

General Relativity and Cosmology

Tom Borrett supervised by Boris Bolliet (Relativity and Gravitation)
Multi-Agent Systems For Scientific Discovery in Physics

James Doody supervised by William Coulton and Fiona McCarthy (Relativity and Gravitation)
A needle in a haystack: statistical separation of the oldest light in the Universe  |  Project Listing

Charlotte Louw supervised by Paul Shellard (Relativity and Gravitation)
Primordial Gravitational Waves and Extensions  |  Project Summary  |  Presentation Slides

 

Geophysics

Rebecca Maver, Adam Michaels and Reuben Price supervised by Duncan Hewitt (Fluid Dynamics, Geophysics)
Hydrothermal circulation near mid-ocean ridges  |  Rebecca's Project Summary

Isaac Simmonite supervised by Alison Ming (Atmosphere Ocean Dynamics)
Ozone Feedbacks in the Stratosphere  |  Project Listing

 

Quantum Information

Ibrahim Akak supervised by Hamza Fawzi (Centre for Quantum Information and Foundations)
Sum of squares relaxations for quantum many-body problems

Andreea Silvia Goia supervised by Angela Capel Cuevas (Centre for Quantum Information and Foundations)
Functional inequalities for quantum Renyi divergences  |  Project Summary  |  Presentation Slides

Luke Hodgkiss supervised by Frank Verstraete (Centre for Quantum Information and Foundations)
Project title unknown

Anirudh Khaitan supervised by Bjarne Bergh (Centre for Quantum Information and Foundations)
Generalized Quantum Channel Discrimination

Aryaman Mishra supervised by Frank Verstraete (Centre for Quantum Information and Foundations)
Loop-Tensor Network Renormalization

Ivan Shum supervised by Angela Capel Cuevas (Centre for Quantum Information and Foundations)
Study of quantum Gibbs sampling algorithms and implementations

 

DAMTP Other

Rishul Karia supervised by Robert Rouse (Institute of Computing for Climate Science)
Identifying the main development regions for sand and dust storms in the Middle East

Michael Lin supervised by Robert Rouse (Institute of Computing for Climate Science)
Prediction of the Evolution of Forest Fire and Associated Impacts  |  Presentation Slides

Alison Spadaro supervised by Josh Stevens (Institute of Computing for Climate Science)
Communications for the Institute of Computing for Climate Science

Aileen Zheng supervised by Roly Perera (Institute of Computing for Climate Science)
Fluid: a programming language for transparent, self-explanatory research outputs

 

Algebraic Geometry

Owen Mackenzie supervised by Fatemeh Rezaee
Singularities of the Hilbert schemes of points  |  Project Listing  |  Presentation Slides

Leonardo Tavares supervised by Dhruv Ranganathan
Moduli of hyperplane arrangements

 

Combinatorics

Lilian Contius and Chris Yang supervised by Nick Williams
Combinatorics of KP solitons  |  Lilian's Project Summary  |  Chris's Project Summary  |  Chris's Presentation Slides

Benjamin Gillott supervised by Tim Gowers
Lorentz Mirror Model

Sida Li supervised by Imre Leader
Cubing the Cube 

Sean Morrell supervised by Tim Gowers
Human-Style ATP

Ihor Pylaiev supervised by Tim Gowers
Exploring properties of sumsets

Nandi Wang supervised by Maria-Romina Ivan
Colouring the Rational Numbers in Ramsey Theory  |  Presentation Slides

James Sarkies supervised by Tim Gowers
Open Problems in Combinatorial Geometry

William Steinberg supervised by Imre Leader
The Burning Number of Graphs

 

Differential Geometry and Topology

Henry Jaspars supervised by Henry Wilton
The word problem for co-context free groups and CAT(0) complexes

Amy Needham supervised by Henry Bradford 
Residual Finiteness of Graph Wreath Products  |  Project Listing  |  Presentation Slides

 

Number Theory and Algebra

Alexia Ascott supervised by Joni Teräväinen
The sequence of totient values on short intervals   |  Project Summary

Niki Hasani supervised by Henry Bradford
Quantifying simplicity for finitely generated groups  |  Project Summary  |  Presentation Slides

Jingyi Le, Annalaura Pegoraro, and Ethan Sosin supervised by Holly Krieger
p-adic dynamics and the failure of Newton's method  |  Annalaura's Project Summary  |  Jingyi's Project Summary  |  Presentation Slides

Amy Needham supervised by Henry Bradford 
Residual Finiteness of Graph Wreath Products  |  Project Listing  |  Presentation Slides

Lingde Yang supervised by Joni Teräväinen
Correlations of Pretentious Functions  |  Presentation Slides

 

Probability, Applied Probability and Mathematical Finance

Magnus Haaland supervised by Perla Sousi
Closed and activated random walks

Ivan Vojvodić supervised by Jason Miller
The sharp threshold for the embedding of the stochastic diamond graph into L^2  |  Presentation Slides

 

Statistics

Michelle Ching, Ioana Popescu, and Nico Smith supervised by Richard Samworth
Statistical aspects of Large Language Models  |  Project Listing  |  Ioana's Project Summary  |  Presentation Slides

Paula Horvat supervised by Richard Nickl
Inferring diffusivity from killed diffusion - studying the limits of the model  |  Project Summary  |  Presentation Slides

Sara El Khamlichi supervised by Richard Samworth
How should we do linear regression?  |  Project Listing  |  Presentation Slides

Soufiane Noubir supervised by Richard Nickl
Infinite dimensional Bayesian Inverse Problems

Shankar Vallinayagam and Alston Xu supervised by Varun Jog
Sample Complexity of Robust Hypothesis Testing  |  Presentation Slides

 

DPMMS: Other

Eaton Liu supervised by Martin Hyland
Foundations of Categorical Homotopy Theory  |  Presentation Slides

Thomas Thevenon supervised by Tim Gowers
Introduction of Equality Gadgets to a Theorem Proving Study / Game  |  Presentation Slides

 

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