dr-bernard-kivunge

Position: Senior Lecturer and Acting Registrar - Academic
Department: Mathematics
Contact Address: P.O. Box 43844-00100 Nairobi – Kenya
Email: This email address is being protected from spambots. You need JavaScript enabled to view it.

View full CV pdf

Research Interest:

  • Loop Theory specifically hyper complex numbers
  • Matrix Completion problem.
  • Coding theory
  • Number Theory

Research and Publications:
Article in referenced Journals

  • 2020: Dennis Kinoti Gikunda, Benard Kivunge: Triple Systems and Fano Plane Structure in . Paper published in the International Journal of Research and Innovation in Applied Science (IJRIAS) ISSN 2454-6194 Vol V, Issue III, March 2020 pp 23-29.
  • 2018: Rosemary Jasson Nzobo, Benard Kivunge, Waweru Kamaku: On the Lattice Structure of Cyclic Groups of Order the Product of Distinct Primes. Paper published in the American Journal of Mathematics and Statistics (AJMS) Vol 8, No 4, 2018 pp 96-98
  • 2016: Josephine Mutembei, Benard Kivunge, Waweru Kamaku: Positive Matrix Completion Problem for Digraphs of order three with 4 and 5 arcs. Paper published in the International Journal of Sciences: Basic and Applied Research (IJSBAR) ISSN 2307-4531 Vol 75, No 3, 2015 pp 75-81.
  • 2015: Lao Hussein, Benard Kivunge, Geoffrey Muthoka, Patrick Kimani: Enumeration of cyclic codes over GF(17). Paper published in the International Journal of Scientific Research and Innovative Technology ISSN 2313-3759 Vol 2, No 5, 2015 pp 103-111.
  • 2015: Josephine Mutembei, Benard Kivunge, Waweru Kamaku: Positive Matrix Completion Problem for Digraphs of order three with zero, one, two and three arcs. Paper published in the International Journal of Sciences: Basic and Applied Research (IJSBAR) ISSN 2307-4531 Vol 24, No 3, 2015 pp 112-121.

    2013: Jane Rimberia, Ireri Kamuti, Benard Kivunge, Kinyua Francis: Suborbits and Suborbital graphs of the symmetric group acting on ordered r-element subsets. Paper published in the Journal of Mathematical Theory and Modelling ISSN 2224-5804 Vol 3, No 11, 2013 pp 115-120.
  • 2013: Jane Rimberia, Ireri Kamuti, Benard Kivunge,: Subdegrees of the symmetric group acting on ordered r-element subsets. Paper published in the International Journal of Science, Commerse and Humanities Vol 1, No 6, 2013, pp 112-118
  • 2013: Njoroge James, Benard Kivunge, Muondwe Samuel, Kinyanjui Anthony: The -matrix completion problem for digraphs of matrices with less than four directed lines Paper published in the Asian Journal of current engineering and Maths, Vol 2, No 6, 2013 ISSN No 2277-4920 pp 374-390.
  • 2012: Peter Waweru, Benard Kivunge, Cecilia Mwathi: On some properties and limitations in the ISBN-13 code . Paper published in the International Journal of Pure and Applied Mathematics, Vol 4, No 3 pp 159-165.
  • 2012: Irene Okello, Benard Kivunge, Cecilia Mwathi: Investigating the maximum determinant for an matrix. Paper published in the proceedings of the Journal of Agriculture Science and Technology, Vol 14, No 1 pp 87-94.

Conference Proceedings

Conferences/Seminars/ Workshops
Seminars/Workshops/Schools Attended/participated:

  • 17th – 20th June 2019. The Third Kenyatta University International Mathematics Conference. Kenyatta University, Nairobi, Kenya. Kivunge Benard & Hannah Ndirangu:Title of talk presented: Lattice structures, and the number of Sylow -subgroups for symmetric groups

  • 17th – 20th June 2019. The Third Kenyatta University International Mathematics Conference. Kenyatta University, Nairobi, Kenya Kivunge Benard & James Mbugua Ngigi:
    Title of talk presented: Bounds for analytic functions of complex matrices with elliptical numerical range

  • 17th – 20th June 2019. The Third Kenyatta University International Mathematics Conference. Kenyatta University, Nairobi, Kenya. Kivunge Benard & Dennis Kinoti Gikunda:
    Title of talk presented: Triple System and Fano plane structure in Z

  • 16th – 19th June 2015.The Second Kenyatta University International Mathematics Conference.
  • Kenyatta University, Nairobi, Kenya.Talk presented by Kivunge Benard & Lao Hussein:numeration of cyclic codes over GF(13)(2) Positive P0,1- Matrix Completion for selected order 3 digraphs.
  • April 8th – 9th 2015:Kenya National Examination Council, Silver Springs Hotel, Nairobi, Kenya.Workshop on the Validation of the report on the adequacy of time allocated for KCPE Mathematics Examination Paper
  • March 18th 2014:Stakeholders Workshop, Meru University of Science & Technology, Meru,Review of New and Revised Curricula for B.Ed(Science)
  • August 13th - 19th 2013:Third Miles High Conference on Non associative algebra, Denver, Colorado, USA.Title of talk given: Sign Matrices for Basal element multiplications.
  • 17th – 22th June 2013:The First Kenyatta University Mathematical Modeling Workshop.Kenyatta University, Nairobi, Kenya
  • 23rd May 2012:Kenya Industrial Property Institute, Red Court Hotel, Nairobi, Kenya.Patent Application Training Seminar
  • 8th – 10th June 2011:The First Kenyatta University international Mathematics Conference. Kenyatta University, Nairobi, Kenya.Title of talk presented: Sign Matrices for Frames of 2n-Ons under Smith Conway and Cayley Dickson multiplications
  • 10th – 14th August 2010:1St East African Regional Scientific conference for School of Pure and Applied Sciences, Kenyatta University, Nairobi, Kenya.
  • 4th – 7th May 2010:Africa Educational Research Network (AERN) Summit,Kenyatta University, Nairobi, Kenya.
  • 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.
  • August 10th - 17th 2003:Loops’03, International Mathematical Conference, Prague, Czech Republic.Title of talk given: Sedenions and Split Extension Subloops.
  • Sept 13-14 2002:Topics in Linear Algebra Conference, Iowa State University.Title of talk given: The nonnegative Po-Matrix Completion problem.
  • 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 Po-Matrix Completion problem.

Research Grants:

  • 2015 June: NACOSTI, Conference Research Grant Ksh 200,000
  • 2015 June: London Mathematical Society (LMS), Conference Research Grant 2,000 British Pounds
  • 2015 June: CDC through IMU, Conference Research Grant 2,000Euros
  • 2013 June: NACOSTI, Workshop Research Grant Ksh 300,000
  • 2011 June: NACOSTI, Conference Research Grant Ksh 500,000