| |

2015 | Seán Mac Dhonnagáin | Congruences for the coefficients of powers of a polynomial |

2014 | Ewan Dalby | Congruences for the Fourier coefficients of modular forms |

2013 | Adam Keilthy, Owen Ward and Jack Geary | Integral ratios of factorials |

| 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 |