Research
Topological Data Analysis
Topological Data Analysis (TDA) provides stable-under-noise methods to quantify geometric properties of topological features such as cycles and holes in unorganised data across all scales. Our group also develops TDA applications to Materials Science (with Materials Innovation Factory at Liverpool and Cambridge Crystallographic Data Centre, UK), Computer Vision (with Microsoft Research at Cambridge, UK), Climate (with the Intel Parallel Computing Centre at the University of Liverpool and Lawrence Berkeley National laboratory, USA). More details including papers, C++ software and blog are on the personal webpage
Mathematical crystallography
Our Topological Data Analysis group develops a new continuous approach to quantify a similarity of solid crystalline materials. The new methods go beyond the past discrete classifications in terms of symmetry groups in order to quickly analyse large datasets of simulated crystals for more efficient crystal structure prediction.
Pure mathematics
Topology (embeddings of graphs and high-dimensional knots), singularities (1-parameter projections of links), non-commutative algebra (exponential equations and braid groups)
Research grants
Inverse design of periodic crystals
ENGINEERING & PHYSICAL SCIENCES RESEARCH COUNCIL
December 2022 - January 2025
New Data Science for Crystal Structure Prediction
ROYAL ACADEMY OF ENGINEERING (UK)
September 2021 - September 2023
Post-Consumer Resin - Understanding the quality-performance linkage for packaging
UK RESEARCH AND INNOVATION
November 2020 - June 2024
Geometric invariants for interactions of proteins with inorganic nanoparticles
ROYAL SOCIETY
March 2023 - March 2025
Application-driven Topological Data Analysis
ENGINEERING & PHYSICAL SCIENCES RESEARCH COUNCIL
September 2018 - August 2023
Topological Data Analysis for Faster Materials Discovery
ROYAL SOCIETY (CHARITABLE)
December 2017 - December 2019
Topological analysis of climate systems
INTEL CORPORATION (USA)
April 2017 - April 2020
Research collaborations
Prabhat
Group Leader
Lawrence Berkeley National laboratory, US
Topological Analysis of Climate Data
Andrew Fitzgibbon
Principal Researcher
Microsoft Research Cambridge
Resolution-independent superpixels