Discrete Mathematics and Algorithms Research

The LSE Mathematics Department has a strong faculty working in various topics in Discrete Mathematics, especially algorithmic aspects.

The interface between Theoretical Computer Science and Discrete Mathematics has been highlighted by recent EPSRC Reviews of both disciplines as being one of increasing importance. LSE is well placed to be at the forefront of future developments. Individual faculty interests are listed below.

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Dr Peter Allen

  • Extremal and random combinatorics; in particular Ramsey theory
  • Extremal (hyper)graph theory
  • Extremal theorems on (quasi)random structures, and algorithmic aspects thereof

Professor Martin Anthony 

  • Mathematical aspects of machine learning, particularly probabilistic modelling of learning and discrete mathematical problems in the theory of learning, data mining and artificial neural networks
  • Boolean function classes and their representations


Dr Tugkan Batu 

  • Algorithms and theory of computation; particularly randomized computation
  • Sublinear algorithms on massive data sets
  • Property testing
  • Computational statistics

Dr Julia Böttcher

  • Extremal combinatorics
  • Random and quasi-random discrete structures
  • Ramsey theory
  • Algorithmical and structural graph theory
  • Graph colouring

Professor Graham Brightwell

  • Combinatorics in general, especially finite partially ordered sets, probabilistic methods, and algorithmic aspects
  • Random graphs
  • Random structures


Professor Jan van den Heuvel

  • Graph theory
  • Matroid theory
  • Applications and algorithmic aspects of graph theory
  • Mathematical aspects of frequency assignment problems
  • Mathematical aspects of networks
  • Discrete mathematics in general


Dr Rachel Kirsch

  • Combinatorics and graph theory in general
  • Enumerative extremal graph theory
  • Combinatorics on words


Professor Andy Lewis-Pye

  • Algorithmic processes
  • Randomness
  • Computability
  • Algorithmic game theory
  • Agent based models
  • Networks
  • Discrete mathematics in general


Professor Jozef Skokan

  • Extremal set theory
  • Quasi-random structures
  • Probabilistic combinatorics
  • Discrete geometry
  • Graph theory
  • Combinatorial games
  • Topics in theoretical computer science

Professor Konrad Swanepoel

  • Combinatorial and discrete geometry
  • Axiomatic geometry
  • Finite geometries
  • Geometry of finite-dimensional normed spaces
  • Geometric shortest networks, such as Steiner Minimal Trees and the Fermat-Torricelli Problem
  • Extremal combinatorics