Dr. Rafael Reno S. Cantuba
Associate Professor
Educational Background
PhD in Mathematics,
De La Salle University, Manila Philippines
BS in Electronics and Communications Engineering,
Mapua Institute of Technology
Rafael Cantuba received his Ph. D. in Mathematics from De La Salle University in 2016, with a doctoral dissertation completed under a research enrichment program or sandwich program in the University of Wisconsin – Madison. In 2018, he was a recipient of a post-doctoral travel grant from the International Mathematical Union (IMU) in support of his research, and in 2022, he was awarded the IOP Trusted Reviewer status by the Institute of Physics (IOP) Publishing, UK, for his contributions in the review of articles in mathematical physics, about which, the online official credential of the IOP states that this is “in recognition of an exceptionally high level of peer review competency.”
On top of his research on abstract algebra, he also has a passion for mathematical analysis, in particular, for the exploration of its foundations, to better develop pedagogies for the better teaching of analysis to future generations of mathematics students.
He has completed several research projects, some internally funded by De La Salle University, and some through funding from the Mathematical Society of the Philippines (MSP). As evidenced by publications indexed by Zentralblatt MATH, Dr. Cantuba has established a prolific research record primarily in Nonassociative rings and algebras (17-XX) and Associative rings and algebras (16-XX). His work further extends into Quantum theory (81-XX), Operator theory (47-XX), Combinatorics (05-XX), and Real functions (26-XX). Additionally, Dr. Cantuba has contributed to specialized topics including Field theory and polynomials (12-XX), Measure and integration (28-XX), Special functions (33-XX), and Functional analysis (46-XX).
Research Interest
- Associative Algebras
- Lie Algebras
Selected Publications
- R. Cantuba. Lie polynomials in an algebra defined by a linearly twisted commutation relation, Journal of Algebra and its Applications (2020), Online ready. URL: https://doi.org/10.1142/S0219498822501754
- R. Cantuba. A Casimir element inexpressible as a Lie polynomial, International Electronic Journal of Algebra, 30 (2020) 1-15. URL: https://doi.org/10.24330/ieja.969570
- R. Cantuba. Compactness property of Lie polynomials in the creation and annihilation operators of the
q-oscillator, Letters in Mathematical Physics, 110 (2020) 2639-2657. URL: https://doi.org/10.1007/s11005-020-01304-x - R. Cantuba, S. Silvestrov. Torsion-type q-deformed Heisenberg algebra and its Lie polynomials, Springer
Proceedings in Mathematics and Statistics, 317 (2020) 575-592. URL: https://doi.org/10.1007/978-3-030-41850-2_24 - R. Cantuba, S. Silvestrov. Lie polynomial characterization problems, Springer Proceedings in
Mathematics and Statistics, 317 (2020) 593-601. URL: https://doi.org/10.1007/978-3-030-41850-2_25 - R. Cantuba, M. Merciales. An extension of a q-deformed Heisenberg algebra and its Lie polynomials,
Expositiones Mathematicae (2020), 39 (2021) 1-24. URL: https://doi.org/10.1016/j.exmath.2019.12.001 - R. Cantuba. Lie polynomials in q-deformed Heisenberg algebras, Journal of Algebra, 522 (2019) 101-123. URL: https://doi.org/10.1016/j.jalgebra.2018.12.008
- R. Cantuba. A Lie algebra related to the universal Askey-Wilson algebra, Matimyás Matematika, 38
(2015) 51-76. URL: https://mathsociety.ph/matimyas/images/vol38/Cantuba2.pdf
GET IN TOUCH WITH US
2401 Taft Avenue, Malate 1004, Manila, Philippines
Tel. Nos.: (632) 8536-0270 (direct line)
(632) 8524-4611 local 420 (trunk line)
