Personal profile
Research interests
I am a mathematical physicist and my research focuses on quantum and classical integrable systems. Specifically, I have been studying integrable quantum spin chains and the Bethe ansatz formulation, quantum algebras, braid groups, Hecke & Temperley-Lieb algebras, solutions of the Yang-Baxter & reflection equations, and their set-theoretic versions. I have also been working on classical discrete integrable systems and integrable field theories, in particular on Hamiltonian methods as well as dressing techniques and solitons in integrable ODEs & PDEs.
More details about my research can be found on my personal webpage.
Biography
I studied physics as an undergraduate at National & Kapodistrian University of Athens. After receiving my PhD in theoretical physics from University of Miami in 1999 and until 2007 I held postdoctoral positions at Durham University, University of York (EPSRC Fellowship), LAPTH-Annecy and University of Bologna. I was assistant professor at University of Patras before joining Heriot-Watt University in 2013 as a reader. From 2019-2022 I was the Director of Research (Associate Executive Dean of Research) of the School of Mathematical & Computer Sciences at Heriot-Watt University. I am in the editorial board of Journal of Non-Associative Structures and Journal of Physics Communications.
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Collaborations and top research areas from the last five years
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Parametric reflection maps: an algebraic approach
Doikou, A., Mazzotta, M. & Stefanelli, P., 11 Feb 2026, (E-pub ahead of print) In: Communications in Algebra.Research output: Contribution to journal › Article › peer-review
Open AccessFile16 Downloads (Pure) -
Parametric set-theoretic Yang–Baxter equation: p-racks, solutions and quantum algebras
Doikou, A., 9 Jan 2026, (E-pub ahead of print) In: Journal of Algebra and its Applications. 2750132.Research output: Contribution to journal › Article › peer-review
Open AccessFile1 Link opens in a new tab Citation (Scopus)41 Downloads (Pure) -
Self-distributivity, braces, and the Yang-Baxter equation
Doikou, A., 20 Feb 2026, 2024 MATRIX Annals, Part II. Wood, D. R., Etheridge, A. M., de Gier, J. & Joshi, N. (eds.). Springer, p. 39-72 34 p. (MATRIX Book Series; vol. 8).Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed) › peer-review
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Algebraic Structures in Set-Theoretic Yang-Baxter and Reflection Equations
Doikou, A., 2025, Encyclopedia of Mathematical Physics. 2nd ed. Academic Press, Vol. 3. p. 217-227 11 p.Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed) › peer-review
Open Access -
Braided finite automata and representation theory
Doikou, A., 13 Nov 2025, arXiv.Research output: Working paper › Preprint
Open AccessFile8 Downloads (Pure)