Dr. Bertrand Teguia Tabuguia, AIMS-Cameroon alumnus of the 2017-2018 batch and one-time tutor, has successfully earned a PhD in Mathematics, specifically in the field of Computer Algebra at the University of Kassel, Germany, a milestone achieved under 2 years.
This giant stride was made under the supervision of Prof. Dr. Wolfram Koepf, with the main aim of developing an algorithm that finds the power series representation of a given differentiable expression, under the topic “Power Series Representations of Hypergeometric Type and Non-Holonomic Functions in Computer Algebra”.
During his defense that happened on May 27th 2020, Bertrand explained that his research is an extension of the case of hypergeometric type functions first developed by his supervisor, Prof. Dr. Koepf. To complete the work, he presented an algorithm that finds what is known as the m-fold hypergeometric term solutions of holonomic recurrence equations.
His work completely solves the case of hypergeometric type functions and allows for the definition and implementation of a procedure to compute the power series representation of any linear combination of hypergeometric type functions. Besides, it improves proof automation.
Dr. Bertrand Teguia acknowledged the generous support of all the parties that contributed to his ground-breaking record.
“I had an amazing PhD experience. With the financial support of my supervisor, the Center President of AIMS-Cameroon, Prof. Dr. Mama Foupouagnigni, AIMS-Cameroon with the tutorship position last year, and the DAAD Erasmus+ Program between AIMS-Cameroon and the University of Kassel, I had very good working conditions to focus on my work and rapidly obtain results” he said.
To make the algorithms of his thesis accessible to a more general public, Dr. Bertrand Teguia has had an opportunity to indulge in a short contract for implementing these new algorithms in the Computer Algebra System (CAS) Maple.
Dr. Teguia now adds to the list of AIMS-Cameroon alumni to have defended a PhD after some of his peers like Dr. Merlin Mouafo, Dr. Woldegebriel Assefa, Dr. Nkongho Ayuketang, and Dr. Jean-Daniel Djida. His research interests include Computer Algebra, Discrete Mathematics, Algorithmic Number Theory, Scientific Computing, Mathematical Modeling, and Probability Theory.