A lecturer in the Department of Mathematics, Munster Technological University.

**In Review**

- The Frucht property in the quantum group setting: with Teo Banica, arXiv:2106.04999,

2021.
- A state-space approach to quantum permutations: arXiv:2104.02817, 2021.

**Publications**

*The Ergodic Theorem for Random Walks on Finite Quantum Groups*,

Communications in Algebra, 49:9, 3850-3871, DOI: 10.1080/00927872.2021.1908551, 2021. (earlier preprint available here)
*Diaconis–Shahshahani Upper Bound Lemma for Finite Quantum Groups, *Fourier

Anal Appl, **25**, 2463-2491, 2019. (earlier preprint available here)
- The Transposition Project: Origins, Context and Early Findings: Maryna Lishchynska, Catherine Palmer, Julie Crowley, Katie Bullen, Clodagh Carroll, Patricia Cogan, David Goulding, Mark Hartnett, J.P. McCarthy, Violeta Morari, Marie Nicholson, Grainne Read, MSOR Connections, Vol 17,
**No 2** (2019)

**Current and Recent Teaching Interests**

– Mechanical Engineering (MATH7016)

– Civil & Environmental Engineering (MATH7019, MATH7021)

– Biomedical Engineering & Sustainable Engineering (MATH6015, MATH6040)

– Computing (MATH6055, MATH6000, STAT6000)

– Data Science (DATA9003, DATA8006)

– Industrial Measurement Control (MATH6037, MATH6038)

– Professional Diploma in Mathematics for Teachers (MB5003, MB5014, MB5021)

– Mathematical Studies in University College Cork (MS2001, MS2002, MS3011)

**Research Supervision**

– Anand Prabhakar Ambujarajan, *Methods of Smoothing Mortality Rates*, MSc in Data Science & Analytics, 2020.

– Tushar Kotian, *Data Clustering for Sports Betting*, MSc in Data Science & Analytics, 2020.

**Education**

- PhD, Mathematics, 2017, with Dr. Stephen Wills (UCC). The research was in Quantum Groups and the thesis title was
*Random Walks on Finite Quantum Groups — Diaconis-Shahshahani Theory for Quantum Groups*.
- MSc by Research, Mathematics, 2010, with Dr. Stephen Wills (UCC). The research was in Random Walks on Finite Groups and the thesis title was
*The Cut-Off Phenomenon in Random Walks on Finite Groups*.
- BSc, Joint Honours Maths & Physics, 2008, 2:1 awarded broken into maths (1:1) & physics (2:2).
- Level 9 Special Purpose Award (CIT), Effective Teaching in Higher Education, 2018.

**Other **

– I am a keen user of Math.StackExchange, MathOverflow and MathEducators.StackExchange.

** **

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January 25, 2011 at 10:09 pm

jim kellyhttp://www.projectmaths.com/index.php/news-comments/

Check out the clarifications on algebra

January 25, 2011 at 10:13 pm

J.P. McCarthyJim,

These clarifications refer to Paper 1. I was wondering about Hypothesis Testing (i.e. Paper 2) – it is suspended from the syllabus. The normal distribution is still there as far as I can see but the person I was helping had never seen the tables for the normal distribution.

Regards,

J.P.

May 25, 2013 at 9:24 pm

Harold GreenHi J.P. Thank you for discovering my blog http://www.throughharoldslens.com. It gave me the opportunity to discover, explore and Follow your blog. Hope we both enjoy our journeys. Best, Harold

July 5, 2013 at 10:55 am

toorajHi, I saw your math page it was very useful , specially the c*-algebras &…(13). thanks for you.