Summer Scholarships 2008 Subjects

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Projects:

1. Claire Postlethwaite (2 students)

Projects:
  • Ordinary differential equations with symmetry.
  • Differential equations with delays.
Requirements: a student to have taken 250 and 260.

2. James Sneyd: (1 or more students)

Projects:
  • studying airway smooth muscle and asthma
  • studying saliva secretion
  • studying neurosecretory cells in the hypothalamus
  • studying oscillations and waves of calcium
Requirements: interest in physiology.

3. Arkadii Slinko: (1 or more students)

Projects:
  • combinatorial problems in the theory of simple games
Requirements: MATHS 326 or MATHS 328.

4. John Butcher: (1 or more students)

Projects:
  • a variety of topics in Numerical Methods for Ordinary Differential Equations.
Requirements: depend on the topic, ask John.

5. Vivien Kirk: (2 students)

Projects:
  • a variety of topics in Nonlinear Differential Equations.
Requirements: an A grade in 260 and a good mark in 250.

6. Eamonn O'Brien (1 or more students).

Projects:
  • Automorphism groups of finite groups
  • Subgroups of finite index in finitely presented groups
Requirements: MATHS 320 or MATHS 328.

7. Bill Barton (2 or 3 students).

Projects:
  • Language differences in Mathematics
Requirements: fluency in some other language.

8. Shixiao Wang (2 or more students).

Projects:
  • Stability of parallel flows and swirling flows
  • Vortex dynamics and vortex breakdown
Requirements: Some background of hydrodynamics stability

9. David Gauld (1 or more students).

Projects:
  • differentiability is continuity if you look at it the right way!
  • a variety of topics in algebraic and set theoretic topology.
Requirements:
  • good pass in MATHS255 (first topic)
  • MATHS333 (second topic)
Availability: from exam end until early February

10. Mike Meylan (1 or 2 students)

Projects:
  • Water waves, resonance, and wave power
Requirements: 260 and 250 with good grades

11. Alexandre Morenko: (1 student)

Project:
  • Mathematical Models in dynamics of spherical shells
Requirements: a good mark in MATHS 361, Applied Mathematics background preferred

12. Shayne Waldron. (2 students)

Projects:
  • Finding all equiangular tight frames
  • Construction of (convex) complex polytopes from harmonic frames
  • Cross-correlation properties of Heisenberg frames
Requirements: basic (matrix) linear algebra and matlab.

13. Philip Sharp. (1 or 2 students)

Project:
  • Will asteroid Apophis hit Earth?
Requirements: a good knowledge of matlab and a good mark in a numerical methods course such as 270, 363 or 770.

14. Marston Conder (1 student)

Project:
  • Groups and Graphs
Requirements: this project may be already taken, ask Marston.

15. Robert Chan (1 or more students).

Projects:
  • numerical methods for a variety of problems modelled by ordinary or partial differential equations
Requirements: A passes (or better) in both 150 and 250, and a good knowledge of Matlab.

16. David Bryant, Alethea Rea (1 student)

Project:
  • Inferring recombination rates in DNA
Requirements: 3rd year mathematics or statistics; matlab programming

17. Alastair McNaughton (1 student).

Project:
  • Column generation techniques for forest harvesting applications
Requirement: The student will need to have done some operations research papers (such as stats 391) and have an interest in mathematical programming. Some very basic understanding of what a column generation algorithm involves would be needed.

18. Steve Taylor. (1 or more students).

Projects:
  • Solution of a system of integral equations and applications to PDEs.
Requirement: Maths 361 and Maths 270.

19. Paul Andi Nagy (1 or 2 students)

Projects:
  • Differential geometry of curves and surfaces
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