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2013 | David Mulligan | Weil conjectures for elliptic curves |

| Jack Kelly | Algebraic hypergeometric functions | description |

2012 | | Modular parametrization of families of elliptic curves | description |

| Eoin Ó Murchadha | Generalizing Menelaus' theorem to algebraic curves | paper |

| Aran Nolan, Padraig Condon and Ewan Dalby | Extremal Laurent polynomials in two dimensions | description and students' report on the results |

2011 | Una Eilis Ni Eigeartaigh | Ramified coverings of Riemann sphere |