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Dr. Rafael Reno S. Cantuba

Associate Professor

Educational Background

PhD in Mathematics,
De La Salle University, Manila Philippines

Rafael Cantuba received his Ph.D. in mathematics from De La Salle University, Manila, in 2016. In 2018, he was a recipient of a post-doctoral travel grant from the International Mathematical Union in support of his research. Although his published works are so far predominantly 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.

As evidenced by publications indexed by Zentralblatt MATH, Dr. Cantuba has published in the fields of Nonassociative rings and algebras (MSC Code 17-XX); Associative rings and algebras (16-XX); Combinatorics (05-XX); Quantum theory (81-XX) and Operator theory (47-XX).

Research Interest

  • Abstract Algebra
  • Mathematical Analysis

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

St. La Salle Hall, De La Salle University
2401 Taft Avenue, Malate 1004, Manila, Philippines

College of Science (Room 202, William Hall)
Tel. Nos.: (632) 524-4611 loc 520 (trunk line)
(632) 524-0451 (telefax)
E-mail: [email protected]
Mathematics and Statistics Department (6th  floor, William Hall)
Tel. Nos.: (632) 536-0230 (direct line)
or (632) 524-4611 loc. 420 (trunk line)
Email: [email protected]