Publications

Professor Malvina Baica, Ph.D. — Publications

Browse a curated collection of research papers and mathematical publications by Professor Malvina Baica, whose work connects algebraic number theory, universal algebra, and paratrigonometry.

Portrait of Professor Malvina Baica, Ph.D.
Professor Malvina Baica, Ph.D.

Research Overview

Professor Baica's published work covers Algebraic Number Theory, Universal Algebra, and Paratrigonometry. Across these areas she applies the Baica Generalized Euclidean Algorithm (BGEA) as an Euler system for algebraic number theory.

Selected Monographs & Manuscripts

  • Fermat's Last Theorem — Baica, Malvina. An algebraic number theory treatment built on the Baica Generalized Euclidean Algorithm (BGEA).
  • The Binary Goldbach Problem — Baica, Malvina, and Aldo Peretti. Analytic and algebraic studies of how even integers can be written as the sum of two primes.
  • The Paratrigonometry and Its Applications — Baica, Malvina, and Mircea Cârdu. A formulation of generalized, non-standard trigonometric metrics in which Euclidean trigonometry appears as a special case.
  • Baica's Generalized Euclidean Algorithm (BGEA) and Euler Systems — Baica, Malvina. Studies of algebraic units, periodic algorithms, and algebraic number fields.

Journal Articles & Proceedings

  • Baica, M. Trigonometric Identities and Algorithm Development, Abstracts of the American Mathematical Society.
  • Baica, M. Diophantine Equations and Generalized Continued Fractions, Bulletin of Mathematical and Physical Sciences.
  • Baica, M. Periodic Complex Algorithms and Number Field Units, International Journal of Mathematics and Mathematical Sciences.

Frequently Asked Questions

Which research areas do Professor Baica's publications address?
Her published work covers Algebraic Number Theory, Universal Algebra, and Paratrigonometry, as outlined in the research overview above.
How is the Baica Generalized Euclidean Algorithm (BGEA) defined?
The BGEA is the method Professor Baica applies as an Euler system for algebraic number theory, and it recurs throughout the monographs and papers listed on this page.
Which monographs and manuscripts appear on this page?
The works featured here are Fermat's Last Theorem, The Binary Goldbach Problem (with Aldo Peretti), The Paratrigonometry and Its Applications (with Mircea Cârdu), and Baica's Generalized Euclidean Algorithm (BGEA) and Euler Systems.
Where are the journal papers and proceedings listed?
Journal papers and proceedings appear in the section above, including items published in the Abstracts of the American Mathematical Society, the Bulletin of Mathematical and Physical Sciences, and the International Journal of Mathematics and Mathematical Sciences.
How can I learn more about her academic background?
Visit the Curriculum Vitae page for education, appointments, and research areas, and the Awards and Recognition page for honors.

Continue Exploring

Head back to the homepage, or move on to the Curriculum Vitae and Awards and Recognition pages for more information.

Home Curriculum Vitae Awards and Recognition

© Professor Malvina Baica, Ph.D. All rights reserved.

Each entry on this page reflects Professor Baica's ongoing engagement with algebraic number theory and its neighboring fields. Readers interested in the broader academic record can pair these publications with her teaching history and professional honors.