Professor Malvina Baica, Ph.D.

Professor Malvina Baica, Ph.D. — Research Homepage

This is the research homepage of Dr. Malvina Baica, a place where her mathematical work is presented openly and in a clear, readable form. Here you will find her proofs of some of the most difficult problems in Algebra and Number Theory, all developed through her Generalized Euclidean Algorithm (BGEA) — which, as she demonstrated, corresponds to the Euler System of Algebraic Number Theory.

Portrait of Professor Malvina Baica, Ph.D., algebraic number theorist
Professor Malvina Baica, Ph.D.

Who Is Professor Baica?

Professor Malvina Baica works in algebraic number theory and universal algebra. Her Ph.D. advisor at the University of Houston was Jurgen Schmidt, and she also studied under Helmut Hasse. Her doctoral dissertation in Mathematics was directed by H. Hasse, L. Bernstein, and L. Carlitz.

Dr. Baica has taken on two problems that have challenged mathematicians for more than 250 years: Fermat's Last Theorem and The Binary Goldbach Problem. She also established a new trigonometry, The Paratrigonometry, in which classical trigonometry becomes a special case.

Dr. Baica's Solutions

  • Fermat's Last Theorem — by Malvina Baica
  • The Binary Goldbach Problem — by Malvina Baica and Aldo Peretti
  • The Paratrigonometry — by Malvina Baica and Mircea Cardu

Browse the complete collection of research papers and proofs on the publications page.

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Explore the Site

In addition to her publications, this site provides more detail on her academic career and the recognition she has received.

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Frequently Asked Questions

Who is Professor Malvina Baica?
Professor Malvina Baica is an algebraic number theorist and universal algebraist. Her Ph.D. advisor at the University of Houston was Jurgen Schmidt, and she also studied under Helmut Hasse. Her Ph.D. dissertation in Mathematics was directed by H. Hasse, L. Bernstein, and L. Carlitz.
What mathematical problems has Dr. Baica worked on?
Dr. Baica has taken on two problems that have challenged mathematicians for more than 250 years: Fermat's Last Theorem and The Binary Goldbach Problem. She also established a new trigonometry known as The Paratrigonometry.
What is The Paratrigonometry?
The Paratrigonometry is a new trigonometry established by Dr. Baica, in which the original classical trigonometry becomes a particular case of the new paratrigonometry. The work is presented together with Mircea Cardu.
What is the BGEA?
The Generalized Euclidean Algorithm (BGEA) is the method Dr. Baica uses to present her proofs of challenging problems in Algebra and Number Theory. As shown on this site, it turned out to be the Euler System of Algebraic Number Theory.
Where can I find Dr. Baica's publications and proofs?
The Publications page gathers her research papers and proofs, including her work on Fermat's Last Theorem, The Binary Goldbach Problem, and The Paratrigonometry.
What else is available on this website?
Alongside the Publications page, the site includes Courses Taught, a Curriculum Vitae, and Awards and Recognition.

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

Dr. Baica's research spans algebraic number theory, universal algebra, and the new field of Paratrigonometry. Her proofs and papers are collected here so that readers can follow her methods, including the Generalized Euclidean Algorithm, and see how classical trigonometry fits within her broader framework.