• Algebraic and combinatorial representations of matroids
  • Optimal sensor placements in a model city
  • Building a graph colouring with no short odd cycles

Welcome to The Centre for Combinatorics, Algebra and Number Theory

The Centre for Combinatorics, Algebra and Number Theory (CeCANT) encompasses a broad spectrum of research with a long and distinguished history at Queen Mary. CeCANT includes over 20 academic staff in the School of Mathematical Sciences (SMS). The centre includes a vibrant community of PhD students, fully embedded in our research culture, and has strong research connections with other centres in SMS and beyond.

Within the Faculty of Science and Engineering we align strategically with the Fundamental Discovery Science theme, with the bulk of our research aiming to address fundamental questions in pure mathematics. Our strengths extend to applied mathematical areas, notably game theory in economics and combinatorial optimisation.

News

Recent Publications

  • Rapid Mixing of the Flip Chain over Non-Crossing Spanning Trees
    Anand K Feng W Freifeld G Guo H Jerrum M Wang J
    Leibniz International Proceedings in Informatics Lipics. vol. 332 
    20-06-2025
  • Asymmetry of 2-step transit probabilities in 2-coloured regular graphs
    Johnson JR Gray R
    Discrete Mathematics vol. 348 (12) 
    19-06-2025
  • Projective hypersurfaces in tropical scheme theory I: the Macaulay ideal
    Fink A Giansiracusa J Giansiracusa N Mundinger J
    Research in The Mathematical Sciences, Springer 
    25-04-2025

View more publications »

Recent Grants

  • CeCANT - Royal Society Wolfson Fellowships - R2 - Combinatorics and geometry of matroids and polytopes (Federico Ardila)
    Federico Ardila and Alex Fink
    £319,462 Royal Society
    01-01-2026 - 31-12-2030
  • COW Algebraic Geometry Seminar (INI 2025)
    Navid Nabijou
    £9,000 Isaac Newton Institute for Mathematical Sciences
    01-01-2026 - 31-12-2027
  • Prophet Inequalities for Mixtures
    Felix Fischer
    £63,326 Engineering and Physical Sciences Research Council
    01-01-2026 - 31-12-2026

View more grants »