Pure projects

Asterisk denotes that the project has already been allocated to at least one MMath student and therefore will have limited availability. Please contact the project supervisor to discuss.

• Bazlov, Yuri
  • Bazlov - Mathematics of error-correcting codes
  • Bazlov - Quadratic algebras and Gröbner bases
  • Bazlov - Topics in modern representaton theory
• Borovik, Alexandre 
  • Alternative approaches to mathematical analysis in history 
• Coleman, Mark 
  • Bernoulli numbers, polynomials and the Euler-Maclaurin
  • Fermat's Last Theorem for regular primes 
  • p-adic Numbers 
  • Quadratic reciprocity
• Dean, Carolyn
  • Gelfand-Kirillov Dimension How do rings grow
• Eaton, Charles
  • Eaton - Combinatorics
  • Eaton - Modular Representation Theory
• Frei, Christopher
  • Frei - Finite Fields
  • Frei - Integer factorisation
• Jones, Gareth 
  • Jones (O) Integer-valued entire functions‌
  • Jones (0) - o-minimality
• Johnson, Marianne
  • Johnson, M - Tropical Mathematics  ‌
• Kambites, Mark
  • Kambites - Amenable groups (and semigroups)
• Kempton, Tom
  • Kempton - B-expansions, dynamical systems and fractal geometry

• Khudaverdyan, Hovhannes
  • Khudaverdyan - Affine and projective connections
  • Khudaverdyan - Cartan prolongation of Lie Algebras and Isometries of Geometrical
  • Khudaverdyan - Infinitesimal isometries of Riemannian Structures
  • Khudaverdyan - Odd Poisson Structures On Supermanifolds
  • Khudaverdyan - Schwarzian
  • Khudaverdyan - Second order operators on densities
  • Khudaverdyan - Symmetries of Classical Mechanics Langrangians; Conservation Laws
  • Khudaverdyan - Operations on vector and multivector fields; Schouten and Nijenhu
• Leon Sanchez, Omar
  • Leon Sanchez - Valued Fields
• Megyesi, Gabor 
  • Algebraic curves
  • p-adic numbers
• Montaldi, James
  • Montaldi - Group actions and the fundamental group
• Premet, Sasha
  • Premet - Classification of finite dimensional complex simple Lie algebras
  • Premet - Crystallographic root systems and Weyl groups
  • Premet - Representation theory of symmetric groups
• Prendiville, Sean
  • Prendiville - The card game ‘SET’ and the cap-set problem
• Prest, Mike
  
  • Prest - Categories, functors and natural transformations‌
  • Prest - Rings and Modules, specifically Representations of Quivers
• Rowley, Peter 
  • Rowley - A Topic In Group Theory
• Sahlsten, Tuomas
  • Sahlsten - Maximal operators in harmonic analysis
• Sidorov, Nikita
  • Sidorov - Systems of numeration for complex numbers and fractals
• Symonds, Peter
  • Symonds - Knot Theory‌
• Suess, Hendrik
  • Suess - Calculations with generalised polytopes (Project only available in semester two due to sabbatical)
• Tressl, Marcus
  • Tressl- Positive polynominals and ordered algebraic structures
  • Tressl - Geometric Algebra
• Voronov, Ted 
  • Voronov - Bracket geometry
  • Voronov - De Rham cohomology and related topics
  • Voronov - Differential geometry and fiber bundles
  • Voronov - Introduction to supergeometry
  • Voronov - Other topics from geometry, topology and mathematical physics
• Walkden, Charles
  • ‌Walkden - Continued Fractions 
  • Walkden - Ergodic theory