Dr. Bertrand Teguia Tabuguia, Ph.D.

Intro. Hi, welcome!

Note: please use Teguia (or Teguia Tabuguia) if you want to call me by my (last) name. My first name is Bertrand.

I am a Research Associate under the mentorship of James Worrell at the University of Oxford, UK. Before that, I held a short Postdoctoral position in the group of Joël Ouaknine at the Max Planck Institute (MPI) for Software Systems, Saarbrücken, Germany. Previously, I was a Postdoctoral Researcher in the Non-Linear Algebra group of Bernd Sturmfels at MPI for Mathematics in the Sciences, Leipzig.

Research Interests: my research interests combine Symbolic Computation, Differential/Difference Algebra, Math-Software Development, Algorithmic Number Theory, Algebraic Geometry, and their applications in other scientific areas.

Recently submitted preprints:

1. D-algebraic guessing.
   
   This is about finding differential and difference equations satisfied by a sequence or its generating function from its first few terms. The paper has a combinatorial flavor. However, the main topic is symbolic computation (computer algebra). In the last section, it is proved that primes are not D-algebraic.
   
   
2. Computing with D-algebraic sequences.
   
   This is an extensive study of sequences defined by polynomial difference equations. Definitions are proposed, closure properties and their algorithms are discussed. Two interesting subclasses are shown to generally satisfy rational recursions with constant coefficients.

Download my CV

Address: Reading RG1 8DX, United Kingdom

Email: email@bertrandteguia.com

Tel: +44 (0) 73 41 32 18 97