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Staff

Lead researcher

Professor Jacek Brodzki

Head of School

Research interests

  • Topological data analysis
  • Applications of topology to medicine, biology, chemistry, physics, computer science
  • Noncommutative Geometry

Connect with Jacek

Other researchers

Professor Peter Smith BSc, PhD, MA, FRSB

Professor of Life Sciences

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Professor Jeremy Frey

Professor of Physical Chemistry

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Professor Ratko Djukanovic

Professor of Medicine

Research interests

  • Professor Djukanovic has a lifelong interest in asthma, especially its severe forms. where his focus is on: 1) underlying pathobiological mechanisms of asthma, 2) stratification of asthma into clinical phenotypes and mechanism-based endotypes, 3) unmet needs of severe asthma management. He also has an interest in the mechanisms and treatments of severe viral infections of the lung.
  • Underlying mechanisms of asthma: Professor Djukanovic has conducted pioneer studies into the pathology of asthma, applying research bronchoscopy  (with endobronchial biopsy and bronchoalveolar lavage) and sputum induction. He led the initial task forces which defined the use of these two techniques, thereby paving the way for standardised research approches that enabled in-depth descriptions of the roles of various inflammatory cells and their mediators. He developed an explant model, consisting of bronchial biopsies placed into tissue culture, that could be stimulated ex vivo with relevant triggers, applying as needed, novel agents not yet approved for in vivo use in humans volunteers. 
  • Stratification of asthma into clinical phenotypes and mechanism-based endotypes: Professor Djukanovic led the discovery of biomarkers using omics technology (transcriptomics, proteomics, lipidomics, breathomics). After the first ever study of transcriptomics biomarkers in the epithelium of patients with Chronic Obstructive Pulmonary Disease (COPD), together with a colleague from Amsterdam and two colleagues from Imperial College, London, he created a large (€27 milllion) programme for severe asthma (U-BIOPRED), funded by the EU Innovative Medicines Initiative. This has resulted in more than 100 publications, providing insight into novel phenotypes and endotypes of asthma.

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Professor Mahesan Niranjan

ISIS Chair

Connect with Mahesan

Collaborating research institutes, centres and groups

Centre for Geometry, Topology, and Applications

The Centre fosters cutting-edge collaborative research in geometry, topology, homotopy theory, noncommutative geometry and group theory and provides a focal point for interdisciplinary applications in modern data science.

Computational Systems Chemistry

Our research covers a broad range of domains from nanoscale materials properties, atmospheric chemistry, through to biological systems.

Pure Mathematics

Collaborating around the world to contribute to research in algebra, analysis, geometry and topology.

Vision, Learning and Control

Our work covers a range of technological areas from control, to machine learning and computer vision.

Research outputs

The homotopy types of SO(4)-gauge groups
Stephen Theriault,
Ingrid Membrillo Solis,
& Daisuke Kishimoto
, 2021 , European Journal of Mathematics , 7 (3) , 1245–1252
DOI: 10.1007/s40879-021-00453-0
Type: article
On the Baum-Connes conjecture for groups acting on CAT(0)-cubical spaces
Jacek Brodzki,
Erik Guentner,
Nigel Higson,
& Shintaro Nishikawa
, 2020 , International Mathematics Research Notices , 0
DOI: 10.1093/imrn/rnaa059
Type: article
Estimation of Gaussian mixture models via tensor moments with application to online learning
Jacek Brodzki,
Donya Rahmani,
Damien Fay,
Akiko Takeda,
& Mahesan Niranjan
, 2020 , Pattern Recognition Letters , 131 , 285--292
DOI: 10.1016/j.patrec.2020.01.001
Type: article
Partial correlation financial networks
Tristan Millington,
& Mahesan Niranjan
, 2020 , Applied Network Science , 5 (1) , 1--19
DOI: 10.1007/s41109-020-0251-z
Type: article
A differential complex for CAT(0) cubical spaces
Jacek Brodzki,
Erik Guentner,
& Nigel Higson
, 2019 , Advances in Mathematics , 347 , 1054--1111
DOI: 10.1016/j.aim.2019.03.009
Type: article
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