Dr. Mutie Kavila

Name: Mutie Kavila
Title/Qualifications: Dr
Department/Unit/Section: Mathematics and Actuarial Science
Contact Address: P.O. Box 103456-00101, Nairobi
Email: This email address is being protected from spambots. You need JavaScript enabled to view it.
Position: Lecturer
Area of Specialization: Pure Mathematics
Research interests: Operator theory and operator algebras
Google Scholar: https://scholar.google.com/citations?user=KsMLJ_EAAAAJ&hl=en
ORCID ID: 0000-0001-5445-4460
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Conference Presentations

1. First Kenyatta University International Mathematics Conference, 2011, Kenyatta University Conference Centre, Nairobi, Kenya, 8th June – 10th June, 2011. Presented a paper on “On Commutants and spectral properties of λ – commuting operators”.

Publications

• Mwanzia, J.M., Kavila, M., and Khalagai, J.M., On Fuglede – Putnam Theorems for MoorePenrose Invertible Operators on Hilbert Spaces, African Journal of Pure and Applied Sciences. 4, No. 1 (2023), 42-49. https://journals.ku.ac.ke/index.php/AJPAS/article/view/372/184
• Mwanzia, J.M., Kavila, M., and Khalagai, J.M., Moore-Penrose inverse of linear operators in Hilbert space, Afr. J. Math. Comput. Sci. Res. 15, 2 9 (2022), 5-13. https://academicjournals.org/journal/AJMCSR/article-full-text-pdf/8B1D58169921
• Mwanzia, J.M., Kavila, M., and Khalagai, J.M., Quasiaffine Inverses of Linear operators in Hilbert spaces, Journ. of Science and Research 10, No. 11 (2021), 1076 – 1082. https://www.ijsr.net/archive/v10i11/SR211116150836.pdf
• Kariuki, G.M. and Kavila, M., Conditions implying convexoidity and normaloidity, Journ. of Research and innovation in Applied Science V, Issue no. X (2020), 57-58. https://www.rsisinternational.org/journals/ijrias/DigitalLibrary/Vol.5&Issue10/57-58.pdf
• Muthoka, G.N., Kamuti, I and Kavila, M., Derivation of the cycle index formula of the affine square (q) group acting on GF(q), Int. Journ. of Algebra 13, No. 7 (2019), 307-314.
  http://www.m-hikari.com/ija/ija-2019/ija-5-8-2019/p/muthokaIJA5-8-2019.pdf
• Muthoka, G.N., Kamuti, I and Kavila, M., Derivation of the cycle index formula of the affine (p) group as a semidirect product of the cyclic groups Cp and Cp-1 , 6, N0.3 (2019), 63-68. http://ijsrit.com/uploaded_all_files/2611731571_g6.pdf
• Nyamusi, D.S. and Kavila, M., Operator equations, Operator inequalities and power bounded operators in Hilbert spaces, Int. Journ. Of Applied Sciences and Math. 4, 6 (2017), 152-155. https://www.ijasm.org/administrator/components/com_jresearch/files/publications/IJASM_193_FINAL.pdf
• Olum, F.O., Kamuti, I., Kavila, M. and Ochieng, R.C., Action of the cyclic group Cn acting on the diagonals of a regular n-Gon, Mathematical Theory and Modeling, 6, No.1 (2016), 115-125. https://www.iiste.org/Journals/index.php/MTM/article/view/28241/28984
• Khalagai, J.M. and Kavila, M., On spectral properties of -commuting operators in Hilbert spaces, Int. Elec. Journ. of Pure and Applied Math. 6, No. 4 (2013), 283-291. http://www.e.ijpam.eu/contents/articles/201300604007.pdf
• Khalagai, J.M. and Kavila, M., On -commuting operators, Kenya Journal of Sciences, Series A, 15, No.1 (2012), 27-31. http://spas.ku.ac.ke/images/stories/docs/on_lambda_commuting_operators.pdf
• Khalagai, J.M. and Kavila, M., On commutants and operator equations, Int. Elec. Journ. of Pure and Applied Math. 5, No. 3 (2012), 99-104. http://www.e.ijpam.eu/contents/articles/201200503001.pdf

Publication in Proceeding

1. Khalagai, J.M. and Kavila, M., On Commutants and spectral properties of – commuting operators, Proceedings of the first Kenyatta university international Mathematics Conference, 2011, Kenyatta University Press (KUP), 103-111.

Other Publications

• Khalagai, J.M. and Kavila, M., On-commuting operators, Kenya Journal of Sciences, Series A,15, No.1 (2012), 27-31.
  http://spas.ku.ac.ke/images/stories/docs/on_lambda_commuting_operators.pdf
• Khalagai, J.M. and Kavila, M., On commutants and operator equations, Int. Elec. Journ. of Pureand Applied Math. 5, No. 3 (2012), 99-104. http://www.e.ijpam.eu/contents/articles/201200503001.pdf

Seminars and workshops attended

• First Kenyatta University Workshop on Mathematical Modelling, 2013, Kenyatta University Conference Centre, Nairobi, Kenya, 17th -21st June, 2013.
• First Kenyatta University International Mathematics Conference, 2011, Kenyatta University Conference Centre, Nairobi, Kenya, 8^th June – 10^th June, 2011.

Research Funding

• Organizing committee member of the First Kenyatta University Workshop on Mathematical Modelling, 2013, Kenyatta University Conference Centre, Nairobi, Kenya, 17th -21st June, 2013 which raised over US$3,000 through partnerships with National Council for Science and Technology (NCST), London Mathematical Society (LMS) and the African Mathematics Millennium Science Initiative (AMMSI).
• Won a research award of US $ 3,000 from the African Mathematics Millennium Science Initiative (AMMSI) for research for my PhD thesis on Commutants and spectral properties of operators in Hilbert spaces

Seminars organized

• First Kenyatta University Workshop on Mathematical Modelling, 2013, Kenyatta University Conference Centre, Nairobi, Kenya, 17th -21st June, 2013.
• First Kenyatta University International Mathematics Conference, 2011, Kenyatta UniversityConference Centre, Nairobi, Kenya, 8th June – 10th June, 2011.

Paper Presented

• First Kenyatta University International Mathematics Conference, 2011, Kenyatta University Conference Centre, Nairobi, Kenya, 8th June – 10th June, 2011. Presented a paper on “OnCommutants and spectral properties of 𝝀 – commuting operators”

Community outreach

23^rd March 2019 to December 2020:   A school PTA board member of Nova Tatu Primary School

Consulting For Organization/Institutions 
Postgraduate mentor at Pan African University Institute for Basic Sciences, Technology and Innovation (PAU)

Trainings in Higher Education

• 28th May 2013 – 14th November 2013 Awarded a Certificate of Completion in a Teaching Methodology course by Kenyatta University Centre for Teaching Excellence and Evaluation covering teaching methodology, setting of examinations, administration of Examinations and marking and analysis of scores.
• 9th August 2004 – 20th August 2004 Certificate of Attendance (2004) University of Nairobi, Kenya Achievement: Acquired additional skills on commutative algebra and algebraic geometry

Membership To Academic/Professional Bodies

• Member of Southern Africa Mathematical Sciences Association (SAMSA)
• Member of the international Congress of Mathematicians (ICM)
• Member of the Kenya Mathematical Society (KMS)
• Mentor at the African Academy of Sciences (AAS)

Recognition Awards

• Awarded a certificate for participation in the Kiambu County Aquatics Association Masters Swimming Championships held on 9th December, 2023 at Potterhouse School, Runda.