Paul Beirne


I am a Ph.D. student in the School of Mathematics and Statistics at University College Dublin under the direction of Robert Osburn. I am currently studying knot theory, number theory and combinatorics.


  1. Paul Beirne, On the 2-head of the colored Jones polynomial for pretzel knots, Q. J. Math 70 (2019), no. 4, 1353-1370.
  2. Paul Beirne and Robert Osburn, q-series and tails of colored Jones polynomials, Indagationes Mathematicae 28 (2017), no. 1, 247-260.

Recent and Upcoming Talks

Recent and Upcoming Conferences

  1. Joint Mathematical Meetings of the American Mathematical Society, Colorado Convention Center, 15th-18th January, 2020
  2. Swiss Knots, ETH Zurich, 16th-19th July, 2019
  3. Analytic and Combinatorial Number Theory: The legacy of Ramanujan, University of Illinois at Urbana-Champaign, 6th-9th June, 2019
  4. Modular Forms and Quantum Knot Invariants, Banff International Research Station, 11th-15th March, 2018
  5. 32nd Automorphic Forms Workshop, Tufts University, 19th-22nd March, 2018

Funding and Awards

Teaching and Outreach

Generously funded by the Irish Research Council under the Government of Ireland Postgraduate Programme.