Alan Togbe

Personal

First Name: Alan
Last Name: Togbe

Education

Degree: Ph.D.
Graduation Year: 1997

Degree: B.S.
Graduation Year: 1984
Major: Mathematics

Graduation Year: 1985

Degree: M.A.
Graduation Year: 1988

Degree: M.A.
Graduation Year: 1994

Summary

Employment (2008): Purdue University North Central

Biography

Professional Experiences:

1999- 2000 Assistant Professor of Mathematics, Greenville College, Greenville, IL USA.
1999-1999: Assistant Professor, Babson College,Wellesley, MA USA.
1992-1997: Teaching and Research Assistant, Laval University, Canada.
1985-1992: Mathematics teacher, High school of Beoumi, Ivory Coast.
1983-1985: Mathematics teacher, High school of Segbeya Cotonou, Benin

Research Interests

In my thesis, we study some family of Thue equations. The method of solving these families consists of:

* searching the trivial solutions of these families;
* determining a fundamental system of units of the number field related with each equation;
* using the classical Siegel-Baker reduction of a Thue equation to a linear form of logarithms of algebraic numbers, using techniques from diophantine approximation, very accurate computations to prove that these families have no solutions except the trivial solutions, for a certain rank of the parameter.

My research, also focuses on other diophantine equations such as equations in relative fields, norm forms in two dominating variables, index form equations, Thue-Mahler equations, elliptic equations, hyperelliptic equations etc.

Selected Publications

  1. On the solutions of a family of sextic equations, (to appear at Proceedings of the 12th Conference of ACMS, 1999).
  2. On the solutions of a family of quartic equations, (to appear at Math. Computation).
  3. On binary quadratic forms, Proceedings of the 12th Conference of ACMS, 1997, 125-135