### 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.

Institutional address:

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: pcatarin@utad.pt

Academic degrees:

BSc in Geographical Engineering (1984); MSc In Mathematics-Algebra (1991); PhD in Mathematics (1998).

Publications

Notes on Number Theory and Discrete Mathematics | 2023

Mediterranean Journal of Mathematics | 2022

Revista Brasileira de História da Matemática | 2022

Francisco Alves

Mathematics | 2022

Axioms | 2022