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J.P. McCarthy Profile

 

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

 

Publications

  1. A state-space approach to quantum permutations: Exp. Math., 2021, ISSN 0723-0869, https://doi.org/10.1016/j.exmath.2021.12.003. (earlier preprint available here).

  2. The Frucht property in the quantum group setting: with Teo Banica, Glasgow Mathematical Journal, 1-31. doi:10.1017/S0017089521000380, (earlier preprint available here).

  3. 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).
  4. Diaconis--Shahshahani Upper Bound Lemma for Finite Quantum Groups, Fourier
    Anal Appl, 25, 2463-2491, 2019. (earlier preprint available here).
  5. 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).

Talks

  1. The Frucht property in the quantum group setting, Quantum Group Seminar, January 2022
  2. Quantum Permutations ReBorn, Quantum Group Seminar (of Teo Banica), Universite de Cergy-Pontoise, Paris.
  3. Pure Mathematics: What's the Point?: The Extremely Paradoxical Extreme Utility of Pure Mathematics in Science , School of Science and Informatics Seminar, MTU.
  4. The Ergodic Theorem for Random Walks: from Finite Groups, to Group Algebras, to Finite Quantum Groups, Munster Groups 2019, WIT.
  5. Some Unresolved and Unexplored Aspects of Random Walks on Quantum Groups: Seminaire d'Analyse Fonctionnelle, Besancon.
  6. Contexts and Concepts: A Case Study of Mathematics Assessment for Civil & Environmental Engineering, Conversations on Teaching and Learning Winter Programme 2018/19, MTU.
  7. The Diaconis-Shahshahani Upper Bound Lemma for Finite Quantum Groups: Irish Mathematical Society 2018 Meeting, University College Dublin.
  8. The Diaconis-Shahshahani Upper Bound Lemma for Finite Quantum Groups: Topological quantum groups and harmonic analysis Workshop, Seoul National University.
  9. The Philosophy of Quantum Groups: MTU Spring Seminar Series.

Current and Recent Teaching Interests

Research Supervision

  • Alan Stack, Decision rules for abandoned football seasons, HDip Data Science & Analytics, 2022.
  • Anand Prabhakar Ambujarajan, Methods of Smoothing Mortality Rates, MSc Data Science & Analytics, 2020.
  • Tushar Kotian, Data Clustering for Sports Betting, MSc Data Science & Analytics, 2020.

Education

Other