Paul Beirne

Contact

• Paul Beirne
• Email: paul.beirne@ucdconnect.ie
• Curriculum Vitae

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.

Publications

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

• AMS Special Session on Interactions Among Partitions, Basic Hypergeometric Series, and Modular Forms, Colorado Convention Center, 15th January, 2020
• Geometry and Topology Seminar, City University of New York, 19th November, 2019
• Geometry and Topology Student Seminar, City University of New York, 19th November, 2019
• Algebra and Number Theory Seminar, University College Dublin, 3rd October, 2019
• Analytic and Combinatorial Number Theory: The Legacy of Ramanujan, University of Illinois at Urbana-Champaign, 7th June, 2019
• Heilbronn Number Theory Seminar, University of Bristol, 16th January, 2019
• 32nd Automorphic Forms Workshop, Tufts University, 20th March, 2018

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

• Irish Research Council Scholar 2018 - Present
• UCD Research Demonstratorship 2016 - 2018
• Winner - Irish Student Mathematical Society Student Talks Competition 2016
• UCD School of Mathematics and Statistics Summer Undergraduate Research Internship 2015
• UCD Advantage Award, 2018
• UCD College of Science Academic Award 2014, 2015
• UCD College of Science Special Recognition Award 2015
• UCD Entrance Scholarship 2012

Teaching and Outreach

• Tutor in the School of Mathematics and Statistics, UCD for
  • MATH10040 - Numbers and Functions
  • MATH10200 - Matrix Algebra (Current)
  • MATH10320 - Mathematical Analysis
  • MATH10350 - Calculus in the Mathematical and Physical Sciences
  • MATH20180 - Foundations for Financial Mathematics
  • MATH30250 - Cryptography: Theory and Practise
  • MST20070 - Multivariable Calculus with Applications
  • MST30010 - Group Theory and Applications
  • MST30030 - Financial Mathematics (Current)
  • STAT10050 - Practical Statistics
  • STAT10060 - Statistical Modelling
  • STAT20060 - Statistics and Probability for Engineers
  • STAT30240 - Linear Models 1
• Director of Maths Sparks programme 2018
• Facilitator for Maths Sparks programme 2016
• Demonstrator in the Outreach Laboratory in UCD since 2016
• Junior Mathematical Enrichment Tutor UCD 2019

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