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Maxi Projects

• Integer partitions
• On braiding loops and quantum computing (Summer version *)
• Category theory in the interface of geometry, topology and mathematical physics (Summer version *)
• Fun with diagram categories   ( Summer version )
• Fun with tangle categories   ( Summer version )
• Polynomials of Kazhdan and Lusztig
• Polynomials of Potts (scroll down!)
• GEOMETRY of Shrek
• Representation theory of the symmetric group
• Mathematics of ethical finance
• Infinite reflection groups (more)
• Topological entropy: knots theory and practice
• More to follow.

Midi Projects

• The PageRank algorithm
• The Perron-Frobenius Theorem
• The Newton-Raphson method
• Streamlined versions of some of the maxi projects above also work as midi projects.
• More to follow.

Mini Projects

• Some problems in combinatorics
  H.G.Forder, Mathematical Gazette, (45), 1961, 199-200
  The first problem is the number of different ways a polygon can be divided into triangles. Other problems which can be tackled by the same methods are then discussed.
• Shapely-Gale College Admissions algorithm (related to Shapely's Nobel prize winning work!)
• Digit roots, rings and clock arithmetic
  A.Gardiner, Mathematical Gazette, (66), 1982, 184-188

Leeds specific resources

• General advice on projects (according to me! YMMV)
• 2011 project handbook