Purdue University North Central
 1401 S. U.S. 421
 Westville, IN 46391

 Phone: (219) 785-5458
 Fax: (219) 785-5507
 atogbe@pnc.edu
 Office: SWRZ 302

Education
     Ph.D., Algebraic Number Theory, Laval University, Quebec, Canada, 1997
     M.S., Algebraic Number Theory, Laval University, Quebec, Canada, 1994

     DEA, Differential Geometry, University of Abidjan, Ivory Coast, 1988.
     B.S., Mathematics, National University of Benin, Abomey-Calavi, Benin, 1984

Courses Spring 2008:
    Go to WebCT for information

Research Interests:
    Diophantine equations, especially Thue equations

Publications:

1. (with Bo He) Simultaneous Pellian equations with a single or no solution, Accepted.

2. (with Bo He) On the number of solutions of Goormaghtigh equation for given x and y, Accepted.

3. On the solutions of a parametric family of cubic Thue equations. Accepted.

4. (with Edray Goins and Florian Luca) On the Diophantine Equation x² + 2^α 5^β 13^γ = yⁿ. Accepted.

5. (with Florian Luca) On the positive integral solutions of the Diophantine equation x³ + by + 1 - xyz=0. Accepted.
6. (with Florian Luca) On the Diophantine Equation x⁴ - q⁴ = py³. Accepted.

7. (with Florian Luca) On the Diophantine equation x² + 7^2k = yⁿ. Accepted.

8. (with Florian Luca) On the Diophantine equation x² + 2^a 5^b = yⁿ. Accepted.

9. (with Florian Luca) On binary palindromes of the form 10ⁿ ± 1. C. R. Acad. Sci. Paris, Ser. I 346 (2008) 487–489.

10. (with Florian Luca) On the numbers of the form ± x² ± y!. In Diophantine Equation, Editor: N. Saradha, Narosa Publishing House, (2008), pp. 135-149.

11. (with S. Akhtari,  P. G. Walsh) The Diophantine equation aX⁴ - bY²=2. Acta Arith. 131 (2008), 145-169.

12. (with Fadwa S. Abu Muriefah and Florian Luca) On the Diophantine equation x² + 5^a 13^b = yⁿ, Glasgow Mathematical Journal, Volume 50, Issue 01, January 2008, pp 175-181

13. (with Edray Goins) On Pythagorean Quadruplets. International Journal of Pure and Applied Mathematics, Volume 35, No. 3 (2007), 363-372.

14. A parametric family of sextic Thue equations. Acta Arith. 125 (2006), 347-361.

15. A Note on the Diophantine Equation x! + A = y², II. International Journal of Applied Mathematics & Statistics, Vol. 6, No. D06 (2006), 25-32.

16. Complete Solutions of a Family of Cubic Thue Equations, Journal de Theorie des Nombres de Bordeaux 18 (2006), 285-298. 

17. (with M. Bennett, G. P. Walsh) A generalization of a theorem of Bumby on quartic Diophantine equations. International Journal of Number Theory, Vol. 2, No. 2 (2006) 195-206.

18. A Note on the Diophantine Equation x² + D = pⁿ , RJooiA, Transactions on Mathematics, Spring 2006, pp. 125-129.

19. On the solutions of a family of quartic Thue equations II, C. R. Math. Rep. Acad. Sci. Canada Vol. 28. (1), 2006 pp. 24-32.

20. A Note on the Diophantine Equation x! + A = y². International Journal of Pure and Applied Mathematics, Volume 26, No. 4 (2006), 565-571.

21. (with P. M. Voutier, G. P. Walsh) Solving a family of Thue equations with an application to the equation x² – Dy⁴ = 1. Acta Arithmetica 120 (2005), 39-58.

22. (with C. Heuberger and V. Ziegler) Automatic solution of families of Thue equations and an example degree 8, Journal of Symbolic Computation 38 (2004), Issue 3, 1145-1163.

23. A Parametric Family of Cubic Thue Equations, Journal Number Theory 107 (2004), 63-79.

24. On the solutions of a family of sextic Thue equations, Number Theory for the Millennial, Bruce Berndt, et. al., editors, A.K. Peters Ltd, 2002, Volume III, 285-299.

25. On the solutions of a family of quartic Thue equations, Math. Comp. 69 (2000), 839-849.

26. On binary quadratic forms, Proceedings of the 11th Conference of ACMS, 1997, 125-135.