Research Interest:
 Loop Theory specifically hyper complex numbers
 Matrix Completion problem.
 Coding theory
 Number Theory
Conferences Presentations
 11th 17th August 2013. Third Mile High conference on Non Associative Mathematics, University of Denver, Colorado, Title of talk presented: Sign Matrices for Frames of 2nOns under Smith Conway and Cayley Dickson multiplications,
 8th – 10th June 2011, The First Kenyatta University international Mathematics Conference. Title of talk presented: Sign Matrices for Frames of 2nOns under Smith Conway and Cayley Dickson multiplications. Theme: The Role of Mathematics as a Tool for Development
 10th – 14th August 2010, 1St East African Regional Scientific conference held at Kenyatta University, Nairobi, Kenya.
 4th – 7th May 2010, Africa Educational Research Network (AERN) Summit, Kenyatta University, Nairobi, Kenya. Theme: Enhancing educational research between African & American universities.
 26th August 4th Sept. 2009, Data Analysis workshop and conference held in Mathematics Dept. Kenyatta University, Nairobi, Kenya.
August 4th  11th 2007, Loops 2007, International Mathematical Conference, Prague, Czech Republic, Title of talk given: Sign Matrices and Hadamard matrices. Website: http://adela.karlin.mff.cuni.cz/~loops07/ (abstract number ) August 10th  17th 2003, Loops’03, International Mathematical Conference, Prague, Czech Republic, Title of talk given: Sedenions and Split Extension Subloops. Website: http://adela.karlin.mff.cuni.cz/~loops03/ (abstract number 24)
 Sept 1314 2002, Topics in Linear Algebra Conference, Iowa State University, Title of talk given: The nonnegative PoMatrix Completion problem. Website: http://www.math.iastate.edu/lhogben/TLA/program.pdf page 10, http://www.math.iastate.edu/lhogben/TLA/homepage.html#speakers
April 4th and April 11th 2002,Gave two talks in the weekly Linear Algebra Seminars in Iowa State University, Title of talk given: The nonnegative PoMatrix Completion problem. Website: http://www.math.iastate.edu/lhogben/research/linalgsem.html#past, (2001 2002 category, third last)
