# Paul Beirne

## Contact

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

- Paul Beirne,
*On the 2-head of the colored Jones polynomial for pretzel knots*, accepted for publication in Quarterly Journal of Mathematics (Oxford).
- Paul Beirne and Robert Osburn,
*q-series and tails of colored Jones polynomials*, Indagationes Mathematicae **28** (2017), no. 1, 247-260.

## Talks

## Recent and Upcoming Conferences

- Swiss Knots, ETH Zurich, 16th-19th July, 2019
- Analytic and Combinatorial Number Theory: The legacy of Ramanujan, University of Illinois at Urbana-Champaign, 6th-9th June, 2019
- Modular Forms and Quantum Knot Invariants, Banff International Research Station, 11th-15th March, 2018
- 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
- MATH10320 - Mathematical Analysis (Current)
- 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 (Current)
- MST30030 - Financial Mathematics
- 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 2015
- Demonstrator in the Outreach Laboratory in UCD

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