Algorithms and Computational Complexity

Algorithms and Computational Complexity

We are an active research group within the Laboratory for Foundations of Computer Science, with main research interests in Randomized Algorithms (especially algorithms for sampling and counting), Spectral Graph Theory, Algorithms for Massive Graphs, Computer Algebra, Computational Complexity, Algorithmic Game Theory, Algorithms for Verification, Quantum Complexity and Cryptography, - and with some interest in most aspects of algorithms and complexity. We are always interested in hearing from prospective graduate students and businesses with interests in these areas.

An informal Algorithms Reading Group takes place during the semester on Wednesdays at 4pm-5.30pm.  

   

Academic staff

Mary Cryan Randomized algorithms – especially for sampling and counting, learning theory, computational biology
Heng Guo Theoretical computer science – especially the complexity of counting problems for example, computing marginal probabilities and expectations of random variables, the evaluation of partition functions
Kousha Etessami Automated verification, algorithms and computational complexity theory, algorithmic game theory, analysis of probabilistic systems, Markov decision processes, stochastic games, logic, automata theory, model checking, analysis of infinite-state systems, finite model theory
Kyriakos Kalorkoti Computational complexity, computer algebra, decision problems in group theory
Richard Mayr Automated verification, automata and temporal logic, model-checking and semantic equivalence checking, formal verification of real-time and probabilistic systems, infinite-state Markov chains and stochastic games
Rik Sarkar Machine learning algorithms, network analysis, computational geometry: topology, trajectory analysis, distributed computing, data science
He Sun Algorithmic spectral graph theory, distributed algorithms, data streaming algorithms  

External/Part-time Academics

Jessica Enright Graph theory, networks, and the application of theoretical computer science to controlling the spread of infectious disease
Elham Kashefi Models of quantum computing and their structural relations, exploring new applications, algorithms and cryptographic protocols for quantum information processing devices

Current PhD Students

 Previously Graduated PhD Students

Alistair Stewart (2015) Efficient algorithms for infinite-state recursive stochastic models and Newton's methodhsdfhsdfhsdfhshshshsdfhsdh
Chiranjit Chakraborty (2014)  Instance compression of parametric problems and related hierarchies
Lorenzo Clemente (2012) Generalized simulation relations with applications in automata theory
Páidí Creed (2010)  Counting and sampling problems on Eulerian graphs
Grant Olney Passmore (2011)  Combined decision procedures for nonlinear arithmetics, real and complex

Past Faculty

Ilias Diakonikolas Now at University of Southern California. Efficient algorithms for fundamental problems in machine learning
Rahul Santhanam  Now at Oxford University. Computational complexity
Amin Coja-Oghlan  Now at Frankfurt University. Random structures and algorithms.
Mark Jerrum Now at QMUL. Computational complexity, randomised algorithms, stochastic processes, random structures.