• 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

  • Asymmetry of 2-step transit probabilities in 2-coloured regular graphs
    Gray R Johnson JR
    Discrete Mathematics, Elsevier vol. 348 (12) 
    01-12-2025
  • The polytope of all matroids
    Ferroni L Fink A
    Selecta Mathematica, Springer Nature vol. 31 (5) 
    01-11-2025
  • The Omega Invariant of a Matroid
    Fink A Shaw K Speyer DE
    International Mathematics Research Notices, Oxford University Press (OUP) vol. 2025 (21) 
    27-10-2025

View more publications »

Recent Grants

  • Periods and Point Counts
    Tyler Kelly
    £3,000 Heilbronn Institute for Mathematical Research
    15-03-2026 - 30-06-2027
  • CeCANT - Royal Society Wolfson Fellowships - R2 - Combinatorics and geometry of matroids and polytopes (Federico Ardila)
    Federico Ardila
    £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

View more grants »