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**For teachers and secondary students ** who
like problem-solving, I recommend getting involved in
problem-contest activites, such as the Mathematical Olympiads and the High
School Maths Contest. I participate in the work of the North Kildare Maths
Problem Club, which runs Saturday morning sessions in preparation for
the Irish Mathematical Olympiad. If you are new to this kind of thing,
I recommend starting with a good book.

(See my publications page for specific references to joint papers, where applicable.)

Name | Topic |
---|---|

John Garnett, Don Marshall, Yaki Sternfeld | Approximation problems about sums of algebras of functions (real- and complex-valued). |

Ken Preskenis, David Walsh, Alejandro Sanabria, Peter De Paepe, Pascal Thomas, Julien Duval | Uniform and Lipschitz norm approximation by polynomials in two complex-valued functions. Polynomial convexity. |

Graham Allan, Tom Ransford | Tauberian theorems related to power-bounded operators and semigroups |

Donal O'Regan | Existence results for ODE |

Michael Conway, Richard Watson, Declan O'Keeffe | Tangent stars and sheaves, and Whitney's extension problem |

Fernando Perez-Gonzalez | Pointwise-bounded approximation by holomorphic functions |

Denise Lord, Hugh Staunton, Edward Keelan | Genetics of multiple sclerosis |

Graham Allan, Grayson Kakiko, Richard Watson | Nachbin's problem about real algebras of smooth functions |

Alejandro Sanabria, Ivan Netuka, Pamela Gorkin | Pervasive function spaces |

Jim Kirk | Root-finding and banking problems |

Aongus O'Cairbre | Convergence of Fourier series. |

Michael Brennan, Sean Ashe | Mathematics Education |

Denise Lord, Tom Dowling, Joan Verdera, Joan Carmona | Analytic capacities. Approximation and removability problems for classes of analytic functions. |

Fiacre O'Cairbre, Aiden O'Reilly, Jesus San Martin | Real dynamical systems and chaos |

Sean Dineen, Richard Timoney, Joel Feinsten | Fixed points in the maximal ideal space of H infinity. |

Joel Feinstein, Harry Lande, Garth Dales | Approximation in spaces of infinitely-differentiable functions. |

Dymphna Graham, Sinead Keane, Ian Short, Maria Roginskaya, Roman Lavicka, Simon Joyce, Mary Hanley, Denis O'Brien, David Walsh, Richard Watson, Linus Carlsson, Patrick Ahern, Jesus San Martin, Mary Boyce, Yoann O'Donoghue, Ying Hou, Frederic Le Roux, Dmitri Zaitsev, Xianghong Gong, Nick Gill | Time-reversal symmetries, reversible maps, groups of maps, flows |

Christoph List, Dmitri Zaitsev, Patrick Ahern, Xianghong Gong | Complex Dynamics |

Gary McGuire, David Redmond, David Wraith, Richard Watson | Mathematical Olympiad training |

Stephen Buckley, Maria Roginskaya | Combinatorics and Graphs |

Gavin Armstrong | Hausdorff dimension of level sets of smooth functions. |

Azadeh Nikou | Vector-value function algebras |

Patrick Barry | School Geometry |

Vasily Bernik | Problems for children |

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Home | Contact | Problems | Research Interests | Publications List | Curriculum Vitae | Research Collaboration | NUIM Maths Dept | Logic Press | Blog |