Paula Maria Machado Cruz Catarino
Associate Professor with habilitation
University of Trás-os-Montes and Alto Douro
PAULA CATARINO hold a PhD in Mathematics. Associate Professor of UTAD (Universidade de Trás-os-Montes e Alto Douro) with habilitation. Researcher of Research Centre CMAT-UTAD- Polo of CMAT of University of Minho and also Researcher of the Research Centre CIDTFF - Research Centre “Didactics and Technology in Education of Trainers. Currently Member of General Council of UTAD. Author of papers in international scientific journals with peer review.
Present research interests:
The current research around the sequences of integers inspires and provide numerous specializations and generalizations. From 2013 I have studied of sequences of special numbers, investigating some of their algebraic properties, their generating functions and generating matrices. Sequences of quaternions, octonions, sedenions and polynomials will also be the focus of my research. The relationship of these sequences with several types of matrices (for instance, Hessenberg, circulant, tridiagonal, etc.), whose entries are the elements of such sequences, and respective norms will be studied, providing some results involving them and study the invertibility of these type matrices. Also I am working on semigroups and in area of Mathematical Education.
Dep. Mathematics – Escola de Ciências e Tecnologia - Universidade de Trás-os-Montes e Alto Douro (UTAD) Quinta de Prados; 5000-801 Vila Real; PORTUGAL Telephone: +351 259350818 | Email: firstname.lastname@example.org
BSc in Geographical Engineering (1984); MSc In Mathematics-Algebra (1991); PhD in Mathematics (1998).
Notes on Number Theory and Discrete Mathematics | 2023
Mediterranean Journal of Mathematics | 2022
Revista Brasileira de História da Matemática | 2022
Mathematics | 2022
Combinatorial Interpretation of Numbers in the Generalized Padovan Sequence and Some of Its Extensions
Axioms | 2022