CURRICULUM VITAE:

PERSONAL DETAILS

NAME:                            Dr.Obogi Robert Karieko, PhD (SENIOR LECTURER)

ADDRESS:                      P.O. Box 408-40200, Kisii

DATE OF BIRTH:          26/10/1980

RELIGION:                     Christian

MARITAL STATUS:      Married

MOBILE NO:                  0723815828

E-MAIL:                          robogi@kisiiuniversity.ac.ke

ORCID NO: https://orcid.org/0000-0001-8798-6412

TEACHING PHILOSOPHY STATEMENT

My teaching philosophy is grounded in the belief that Pure Mathematics is best learned through deep conceptual understanding, logical reasoning, and active engagement. I strive to create a learning environment that encourages critical thinking, curiosity, and intellectual independence. In teaching Pure Mathematics, I emphasize clarity, rigor, and structured reasoning. I guide students from intuition to formal proofs, ensuring they not only understand results but also the underlying ideas. I incorporate problem-solving sessions, continuous assessment, and interactive discussions to enhance learning.At the postgraduate level, I focus on mentorship, guiding students through research processes, academic writing, and publication. I am committed to nurturing the next generation of mathematicians and researchers. Overall, my aim is to inspire students to appreciate mathematics as a rigorous, creative, and impactful discipline.

RESEARCH STATEMENT

My research focuses on  Functional Analysis and Operator Theory, with particular interest in C*-algebras both in unital and non unital sense. My work aims to contribute to the theoretical development of mathematics while also exploring potential applications in related fields.

I have published in peer-reviewed journals and presented my work at academic conferences. My research in Functional Analysis addresses problems related to operator theory, spectral analysis, and the study of differential equations in infinite-dimensional spaces, with particular emphasis on existence, stability, and approximation of solutions.. Going forward, I intend to expand my research in the following areas:

· Advanced operator theory and applications

· Functional analytic methods in differential equations

· Interdisciplinary applications of pure mathematics

I am also interested in collaborative research both locally and internationally and in securing research funding to support postgraduate training and innovation.

A key priority in my research agenda is the supervision and mentorship of postgraduate students, contributing to capacity building in mathematical sciences.

Through my research, I aim to enhance the visibility and impact of mathematics within academia and beyond.

EDUCATIONAL BACKGROUND:

WORKING EXPERIENCE/ EMPLOYMENT:

14^TH MARCH, 2023-DATE- Senior Lecturer of Pure Mathematics, Department Of

Mathematics And Actuarial Science-Kisii University

COURSES TAUGHT

Real Analysis, Measure Theory, Ring Theory, Linear Algebra, Field Theory, Abstract Algebra, Mathematics for Computer Science, Discrete mathematics, Topology, functional analysis, group theory, commutative algebra, coding theory, complex analysis, Field theory and operator theory, number theory, field theory.

19/04/2018-14^THMARCH, 2023- Lecturer, Department of Mathematics

And Actuarial Science-Kisii University

COURSES TAUGHT

Real Analysis, Measure Theory, Ring Theory, Linear Algebra, Field Theory, Abstract Algebra, Mathematics for Computer Science, Discrete mathematics, Topology, functional analysis, group theory, commutative algebra, coding theory, complex analysis, Field theory and operator theory, number theory, field theory.

MAY 2013- 19/04/2018:    Assistant Lecturer, Department of Mathematics and Actuarial

         Science-Kisii University

COURSES TAUGHT

Real Analysis, Measure Theory, Ring Theory, Linear Algebra, Field Theory, Abstract Algebra, Mathematics for Computer Science, Discrete Mathematics, Topology, Functional Analysis, Group Theory, Commutative Algebra, Coding Theory, Complex Analysis, Field Theory, Operator Theory and Number Theory.

MAY 2007-MAY 2013:   TSC Teacher At Senior Chief Musa Nyandusi Secondary School-Kegati

ADMINISTRATIVE DUTIES/APPOINTMENTS

JUNE 2025- DATE:  PROGRAMME LEADER FOR BACHELOR OF EDUCATION

(SCIENCE)

DUTIES AND RESPONSIBILITIES

i) Facilitate the implementation of the curriculum in consultation with the Chairperson of the Department

ii) Implementation of the curriculum to ensure there is quality teaching, assessment and evaluation of the programme

iii) Review of the curriculum of the programme to align it with the requirements of competence-based education

JUNE 2023- DATE:  DEAN,  SCHOOL OF PURE AND APPLIED SCIENCES

DUTIES AND RESPONSIBILITIES

i) To prepare, implement and review the School Strategic Plan;

ii) To convene the School Board meetings;

iii) To provide overall management of the school academic programmes as required by the

College or Campus Academic Board and Senate under various rules and regulations, including being Chief Examiner of the School;

iv) To implement the University policy decisions and regulations in respect to the School;

v) To represent the School in the Senate and its committees;

vi) To plan and coordinate the School budgetary estimates and inter-departmental activities which shall include but not limited to internships;

vii) To oversee the work of Chairpersons of Departments;

viii) To work in liaison with other University organs for the effective and efficient management of the Faculty or School;

ix) To promote and maintain a conducive working environment in the School;

x) To prepare and implement the School Annual Work Plan and Performance Contract; and

xi) To undertake annual staff performance appraisal in the School.

FEB 2019-JUNE 2023- ACTING DEAN SCHOOL OF PURE AND APPLIED

SCIENCES

DUTIES AND RESPONSIBILITIES

i) To prepare, implement and review the School Strategic Plan.

ii) To convene the School Board meetings.

iii) To provide overall management of the School academic programmes as required by the

College or Campus Academic Board and Senate under various rules and regulations, including being Chief Examiner of the School.

iv) To implement the University policy decisions and regulations in respect to the School.

v) To represent the School in the Senate and its committees.

vi) To plan and coordinate the school budgetary estimates and inter-departmental activities which shall include but not limited to internships.

vii) To oversee the work of Chairpersons of Departments.

viii) To work in liaison with other University organs for the effective and efficient management of the Faculty or School.

ix) To promote and maintain a conducive working environment in the School.

x) To prepare and implement the School Annual Work Plan and Performance Contract; and

xi) To undertake annual staff performance appraisal in the School.

FEB 2014-FEB 2019:           CHAIRPERSON, DEPARTMENT OF MATHEMATICS

AND ACTUARIAL SCIENCE

DUTIES AND RESPONSIBILITIES

· Formulating and successfully implementing the departmental academic policy

· Developing strategic operating plans that reflect the long-term objectives and priorities established by the Department of Mathematics.

· Managing administrative functions to ensure smooth and efficient operations of the department.

· Ensuring performance goals are set and met.

· Representing the department in the senate meetings.

· Planning and implementing the annual calendar of activities and the official administrative acts.

· Supervising Academic activities in the department

· Chairing Departmental Board Meetings

· Providing academic, research and administrative leadership in the department

ACHIEVEMENTS

· Designed curricula for undergraduate and postgraduate students that saw first placement of KUCCPS students to the department.

· Analysed market trends and statistics and utilized findings to achieve 50% growth of the department.

· Contributed to research by publishing papers in peer reviewed journals and attendance of scientific conferences and supervised postgraduate students to completion.

· Designed a draft policy that saw the creation of the department of Mathematics in the university

· Development of M.Sc. (Pure Mathematics), M.Sc. (Applied Mathematics) and M.Sc. (Applied Statistics) programmes

· Development of PhD (Pure Mathematics), PhD (Applied Mathematics) and PhD (Applied Statistics) programmes

MEMBERSHIP IN UNIVERSITY COMMITTEES

1. Member of Kisii University Performance Management Committee

2. Member of the University Timetabling Committee

3. Member of the Staff Disciplinary Committee

4. Member of the Staff Training and Human Resource Management Committee

5. Member of the Public Finance Management Committee

MEMBERSHIP IN PROFESSIONAL BODIES AND SOCIETIES
1.  Kenya Mathematics Society (KMS)- Member No.-KMS-FM-00108
GRANTS, SCHOLARSHIPS, FELLOWSHIPS AND AWARDS

1. National Research Fund(NRF) MSc Research Grant Awards for the

financial year 2016/2017 Title:On numerical ranges and spectra Posi- normal operators. Student: Samwel Asamba, Kisii University, Kenya (KES 224,000)

2. Indirect Research grant for STEM teachers training workshop for STEM and climate change at Kisii University on 23^rd March 2024 and 23^rd March, 2024 (KES 300,000) organised and funded by Fun and Global Network, Kenya.

3. Kisii University internal research grant award of Kshs. 250,000 for a Mathematics and Statistical modelling research entitled; Agroforestry Practices and their Impact on Crop Yield and Income in Kisii, Kenya

COMMUNITY SERVICE ENGAGEMENTS

1. Donated Revision Books to Nyamerako Ekerubo Mixed Secondary School on 13^th August 2024

2. Member of Board of Management for Nyatieko Mixed Secondary School

  BOOK CHAPTERS

1. Fred N Monari, Walter Onchere, Robert K Obogi, Douglas Ongeri Ochora (2026): Antibacterial properties of Securidaca longepedunculata Fresen. Insights from statistical simulation using R . Taylor and Francis, DOI: https://doi.org/10.1201/9781003544463. ISBN: 9781003544463 

PUBLICATIONS IN PEER REVIEWED JOURNALS

YEAR 2026

1. Obogi, R., & Mogoi, E. N. (2026). Optimal Transport and Convexity in Orlicz Spaces.

African Journal of Pure and Applied Sciences, 7(1), 70-77. https://doi.org/10.33886/

ajpas.v7i1.821

2. Robert Obogi and Mogoi N. Evans(2026): Stability of Semi groups of Linear Operators in   

Variable Banach Spaces. Engineering and Applied Science Letters, 9(1), 61-78; https://doi:10.30538/psrp-easl2026.0133

YEAR 2025

1. Obogi, R., & Mogoi , N. E. (2025). Duality and Weak Compactness in Generalized Orlicz-Bochner Spaces with Applications to Operator Equations. African Journal of Pure and Applied Sciences, 6(2), 27–35. DOI: https://doi.org/10.33886/ajpas.v6i2.734

2.  Robert Obogi and Mogoi N. Evans (2025): Spectral Gaps And Approximate Invariance In Hilbert Spaces. Annals of Mathematics and Computer Science. Vol 30 (2025) 85-92, October 21,  2025, 69-78, DOI: https://doi.org/10.56947/amcs.v30.650. ISSN: 2789-7206

3. Mogoi Evans & Robert Obogi (2025): Computational Theory of Norm-Attaining Functionals: Algorithms, Stability, and Applications in Banach Spaces. European Journal of Mathematical Analysis. DOI: https://doi.org/10.28924/ada/ma.5.382  Vol. 5 (2025), October 21, 2025.

4. Mogoi Evans & Robert Obogi (2025):  Compactness and maximal regularity in variable-exponent bochner spaces with applications to nonlocal evolution equations. Open Journal of Mathematical Analysis September 2025, 9(2), 99-108; ISSN: 2616-8111 (Online) 2616-8103 (Print)  DOI: https://doi.org/10.30538/psrp-oma2025.0167

5. Jared Nyaberi Bosire, Bulinda Vincent Major, Obogi Robert Karieko and Kimtai Boaz Simatwo (2025): A Spatial Analysis of Multimodal Transport in Kisii Town Using the LWR Model. Earthline Journal of Mathematical Sciences Volume 15, Number 5, August 2025, Pages 927-942 https://doi.org/10.34198/ejms.15525.927942

6. Jared Nyaberi Bosire, Bulinda Vincent Major, Obogi Robert Karieko and Osogo Abraham Nyakebogo (2025): Design and Evaluation of Optimization Algorithms for Adaptive Traffic Signal Control and Scalable Simulation of Large-Scale Traffic Networks. Earthline Journal of Mathematical Sciences Volume 15, Number 5, August 2025, Pages 889-903 https://doi.org/10.34198/ejms.15525.889903

7. Jared Nyaberi Bosire, Bulinda Vincent Major, Obogi Robert Karieko and Osogo Abraham Nyakebogo (2025): Applications of Lax-Friedrich Finite Difference Method and Macroscopic and Microscopic Traffic Flow Modelling PDEs and ODEs Numerical Solutions. Journal of Advances in Mathematics and Computer Science Volume 40, Issue 9, Page 69-85, August 2025; Article no.JAMCS.140083 ISSN: 2456-9968

DOI: https://doi.org/10.9734/jamcs/2025/v40i92045

8. Mogoi N. Evans and Robert Obogi (2025): Spectral Analysis of Nonlinear Operators: Theory and Applications to Neural Networks and Optimization. Archives of Current Research International Volume 25, Issue 6, Page 287-295, June 2025; Article no.ACRI.137644ISSN: 2454-7077 DOI: https://doi.org/10.9734/acri/2025/v25i61272

9. Mogoi N. Evans and Robert Obogi (2025): Norm Attainment and Structural Properties in Orlicz Spaces: A Comprehensive Study on Strict Convexity, Duality, and Optimization.

Mathematical Analysis and its Contemporary Applications Volume 7, Issue 2, June 2025,

71–78 DOI:10.30495/maca.2025.2056607.1133   ISSN 2716-9898

10. Fred Nyamitago Monari, Robert Nyamao Nyabwanga, Robert Karieko Obogi, Lameck Ondieki Agasa and Victor Ongera Okemwa (2025): Agro forestry Practices and their Impact on Crop Yield and Income in Kisii, Kenya. Asian Journal of Research in Agriculture and Forestry Volume 11, Issue 2, Page 182-188, May 2025; ISSN: 2581-7418, DOI: https://doi.org/10.9734/ajraf/2025/v11i2397

11. Mogoi N. Evans and Obogi Robert Karieko (2025): Norm Attainment for Compact Operators on Reflexive Banach Spaces. Annals of Mathematics and Computer Science. Vol. 28, No. 2, April 2025, 69-78, DOI: https://doi.org/10.56947/amcs.v28.507ISSN: 2789-7206

12. Mogoi N. Evans and Robert Obogi (2025): Advances in the Geometry of Banach Spaces: Novel Inequalities, Operator Theory and Application.  Annals of Pure and Applied Mathematics.Vol. 31, No. 2, April 2025, 69-87, DOI: http://dx.doi.org/10.22457/apam.v31n2a01962 ISSN: 2279-087X (P), 2279-0888(online)

13. Mogoi N. Evans and Robert Obogi  (2025): Geometry of norm attainability in Orlicz spaces. Mathematical Analysis and its Contemporary Applications Volume 7, Issue 1, March,2025,71–78 DOI:10.30495/maca.2025.2052193.1127   ISSN 2716-9898

14. Mogoi N. Evans and Robert Obogi (2025).“Characterizing Norm-Attainability in

Operator Ideals: Necessary and Sufficient Conditions for Operators in Compact,

Hilbert-Schmidt and Schatten Classes’ Annals of Pure and Applied Mathematics.

Vol. 31, No. 1, January 2025, 1-8, DOI: http://dx.doi.org/10.22457/apam.v31n1a01955,

ISSN: 2279-087X (P), 2279-0888(online)

YEAR 2024

1. Mogoi Evans & Robert Obogi  (2024):  The geometry and norm-attainability of operators in operator ideals: the role of singular values and compactness. Open Journal of Mathematical Analysis December 2024, 8(2), 79-88; doi:10.30538/psrp-oma2024.0145

2. John Joseph O. Ondiany, Obogi Robert Karieko, Lao Hussein Mude and Fred

Nyamitago Monari (2024): On the Number of Cyclic Codes Over Z₃₁.Journal of

Advances in Mathematics and Computer Science Volume 39, Issue7, Page55-69, July

2024,   ISSN: 2456-9968.DOI: https://doi.org/10.9734/jamcs/2024/v39i71912

3. Asamba Samwel Okeri, Benard Okelo, Robert Obogi, and Priscah Omoke  (2024): AI-Techniques in analysis of semi-continuity in Lp-spaces. SSAR Journal of Multidisciplinary Studies, Vol 01, Issue 01, April 2024, 72-78

YEAR 2023

1. Ombaki Richard, Kerongo Joash and Obogi Robert (October 2023). Asymptotic Synchronization of Nonlinear Functional Neutral Delay Difference Equations with Variable Co-efficients. International Journal of Pure and Applied Mathematics Research, 3(2), 48-59. doi: 10.51483/IJPAMR.3.2.2023.48-59

2. Asamba Samwel Okeri, Benard Okelo, Robert Obogi, and Priscah Omoke: Characterization of semi-continuity in Lp-spaces. Mathematical Analysis and its Contemporary Applications, Volume 5, Issue 3, September 2023, 91-100. ISSN 2716-989, doi: 10.30495/2023.2006888.1081

3. Kimtai Boaz Simatwo, Runji Flora Mati and Obogi Robert Karieko, Enumeration of Cyclic Codes Over GF (23). Journal of Advances in Mathematics and Computer Science Volume 38, Issue 9, Page 194-206, August 2023. ISSN: 2456-9968. DOI: 10.9734/JAMCS/2023/v38i91815

4. Obogi Robert Karieko: On Norms of Derivations Implemented by Self-Adjoint Operators. Open Journal of Mathematical Analysis, June 2023, 7(1), 42-55, doi:10.30538/psrp-oma2023.0122

5. M.Orina, N.B.Okelo, R.K.Obogi, On Orthogonality of Elementary Operators in Normed Spaces. Journal of Mathematical Analysis and Modeling. ISSN 2709-5924 doi:10.48185/jmam. v4i1.505(June 2023) Vol.4(1): 52-77

6. Obogi Robert Karieko, Certain Orthogonality Conditions for Finite Elementary Operators in Normed Spaces. Functional Analysis FAC – SEAMS Volume 2, April, 2023, ID 3

7. J.Z.Nyabonyi, N. B. Okelo, R. K. Obogi, On Norm Estimates for Derivations in Norm-Attainable Classes. European Journal of Mathematical Analysis. https://doi.org/10.28924/ada/ma.3.9 . Vol. 3 (2023), 9. Jan 16, 2023

YEAR 2022

1. Rogito Ombati Zablon, Kerongo Joash and Obogi Robert, Mathematical Modeling of Seepage Velocity Influence on Transport of Dissolved Heavy Metals from Waste-Dumps to River Channel. International Journal of Pure and Applied Mathematics Research. https://doi.org/10.51483/IJPAMR.2.2.2022.75-82

2. Obogi Robert Karieko, On Contractivity and Normaloidity of Hilbert Space Operators. Functional Analysis FAC – SEAMS Volume 1, September, 2022, ID 3

3. N. C. Nyamwaya, R. K. Obogi, Benard Okelo, On Supraposinormality of Operators in Norm-Attainable Classes International Journal of Open Problems in Computer Science & Mathematics., Vol. 15, No. 2, June 2022 Print ISSN: 1998-6262, Online ISSN: 2079-0376

YEAR 2021

1. J.Z.Nyabonyi, N. B. Okelo, R. K. Obogi, On Norm-Attainability Condition for Derivations in Banach algebras.South Asian Research Journal of Engineering and Technology, ISSN: 2664-4150, Volume 3(3), August 2021

2. A.O.Nyakebogo,  J.M.Kerongo, R.K. Obogi, Stability and Consistency Analysis of FTCS Scheme for Unsteady Magneto-hydrodynamic Fluid Flow over a Vertical Stretching Sheet. International Journal of Scientific Research in Mathematical and Statistical Sciences, Volume-8, Issue-4, pp.38-43, August (2021)

3. Nyakebogo Abraham Osogo, Kerongo Joash Morara, Obogi Robert Karieko. The effect of Variable Viscosity and Unsteady Free Convective Fluid Flow Over a stretching surface in the presence of Thermal Radiation and Viscous Dissipation.International Journal of Advances in Scientific Research and Engineering (IJASRE) ISSN: 2454-8006 Volume 7(6), June 2021 www.ijasre.net

4. N. C. Nyamwaya, N. B. Okelo, R. K. Obogi, On Characterization of Supra-posinormal Operators in Norm-Attainable Classes South Asian Research Journal of Engineering and Technology, ISSN: 2664-4150, Volume 3(3), June 2021

5. M.Orina, N.B. Okelo, R.K. Obogi, On Finiteness of Elementary Operators in Normed Spaces. South Asian Research Journal of Engineering and Technology, ISSN: 2664-4150, Volume 3(3), June 2021

YEAR 2020

6. Nyakebogo Abraham Osogo, Kerongo Joash Morara,Obogi Robert Karieko.  Effects of Magnetic Parameter and Injection Velocity on Unsteady Magneto hydrodynamic Fluid Flow over a Vertical Stretching Sheet in the Presence of Induced Magnetic Field. International Journal of Science and Research (IJSR) ISSN: 2319-7064 Volume 9 Issue 11, November 2020 www.ijsr.net

7. Oyombe Aluala, Oduor Okoya Michael, Obogi Robert and Kerongo Joash. Lie Symmetry Solution of Third Order Nonlinear Ordinary Differential Equation. International Journal of Mathematics and its Applications, ISSN:2347-1557, 8(2) 2020, 143-154

8. Wanjala Victor, R.K. Obogi and M.O.Okoya On n-metric equivalence of operators. International Journal of Mathematics and its Applications, ISSN:2347-1557, 8(1) 2020, 107-109

9. Peter O. Ojwala, Michael O. Okoya, Robert Obogi “Lie Symmetry Solutions of Coupled Lotka-Volterra Competition-Diffusion Model" International Journal of Mathematics Trends and Technology 66.3 (2020):39-52.

YEAR 2019

10. Obogi Robert Karieko: Convergence of Positive and Completely Positive Operators on Non-Unital C*-Algebras. International Journal of Functional Analysis, Operator Theory and Applications, ISSN: 0975-2919, Volume 11, Number 2, December2019, Pages 71-78.

YEAR 2018

11. P.K. Tarus, W.C.Koech  and R. Obogi: Modelling of Motor-Gear-Generator System. Asian Journal of Mathematics, ISSN: 2395-4205 (P), ISSN: 2395-4213 (O), 25(5): 279-288, 2018

YEAR 2017

12. Kirwa P, Rotich T and Obogi R: A mathematical Model of the effect of Immuno-Stimulants on the Immune Response to HIV infection. International Journal of Latest Engineering Research and Applications (IJLERA), ISSN:2455-7137, Volume 02, issue 08, August 2017, PP 01-07www.ijlera.com

13. Kirwa P, Rotich T, Obogi Rand Tanui P.K: Boundedness and Positivity of a Mathematical model of the immune response to HIV infection. International Journal of Scientific Research Engineering &Technology (IJSRET), ISSN: 2278-0882, Volume 6, issue 8, August 2017, www.ijsret.org

14. Sabasi Omaoro, J. Kerongo, R.K Obogiand N.B Okelo: Generalizations of normal self-adjoint operators. Journal of Global research in Mathematicalarchives Vol 4, No 9, 13-17, August 2017, http://www.jgrma.info

15. S.Asamba, N.B. Okelo, R.K.Obogi: Characterization of Spectra of Posinormal Operators. International journal of Modern Science and Technology, ISSN:2456-0235, Vol.2. Issue 7- July 2017.

YEAR 2016

16. Sabasi Omaoro, R.K Obogiand N.B Okelo: On certain norms and numerical radius attainability conditions for normal operators. International journal of Academic studies 2(1): (2016) 21-27, www.ijacademicstudies.com

YEAR 2015

17. P.OMogotu, J.Kerongo, R.K Obogiand N.B Okelo: Certain properties of normaloid operators. Journal of Advanced Mathematics 01[01] 2015, www.asdpub.com/index.php/jam

18. N.B. Okelo, R. K.Obogi: On convergences of contractive maps in metric spaces.

      Journal of Advanced Mathematics 01[01] 2015, www.asdpub.com/index.php/jam

19. Sabasi Omaoro, J. Kerongo, R. K. Obogi and N. B. Okelo: On reflexivity, denseness and compactness of numerical radius attainable operators. Bulletin of Advanced Scientific Research 01 [01] (2015) , www.asdpub.com/index.php/basr

20. R. K.Obogi, N.B. Okelo, Omolo Ongati: New Conditions for positivity of operators in non-unital C*-algebras. Pure Mathematical Sciences, Vol.4, (2015), no. 2, 77-81. http://dx.doi.org/10.12988/pms.2015.41133

21. R. K.Obogi,  J.N.Bosire,Okelo N.B, Omolo Ongati: Conditions for positivity of operators in non-unital C*-algebras. International. Journal of Mathematical Analysis, Vol. 9, (2015), no. 2, 91-94. http://dx.doi.org/10.12988/ijma.2015.411349

YEAR 2014

22. N.B.Okelo, Omolo Ongati and Obogi Robert Karieko: Norm inequalities for Positive Elementary Operators and Entanglement of States. Journal of Global Research in Mathematical Archives. Vol. 2, No. 5, (2014), 18-26. ISSN 2320-5822

http://www.jgrma.info

23. N.B.Okelo, Omolo Ongati sandObogi Robert Karieko: Norm inequalities of Norm- Attainable  Operators and their Orthogonal Extensions. Journal of Global Research in Mathematical Archives. Vol. 2, No.5,(2014), 1-9. ISSN 2320-5822 http://www.jgrma.info

24. N.B.Okelo, Omolo Ongati and Obogi Robert Karieko: Projective Norms and Convergence of   Norm –Attainable Operators. Journal of Global Research in Mathematical Archives. Vol. 2, No. 5, (2014), 10-17. ISSN 2320-5822 http://www.jgrma.info

YEAR 2013

25. Obogi R. K,Kerongo  J: The M₀ –Matrix Completion Problem for some  Digraphs of 5×5 matrices with five edges, International Journal of Innovative Research and Studies Vol 2 Issue 12  (2013), 589-626. ISSN 2319-9725

PAPERS PRESENTED IN WORKSHOPS AND CONFERENCES

· Fred Nyamitago Monari, Walter Onchereand Obogi Robert: Leveraging Statistical Simulations to address emerging trends in Science, Technology, Engineering and Mathematics, presented at the 2^ndInternational Multi-disciplinary Conference on strengthening African economies through innovations for sustainable development held on 10^th-12^th, September2024 at Kisii University.

· Asamba Samwel Okeri, Obogi Robert: Characterization of semi-continuity in L^p Spaces, presented at the 2^ndInternational Multi-disciplinary Conference on strengthening African economies through innovations for sustainable development held on 10^th-12^th, September2024 at Kisii University.

· Pacho Titus & Obogi Robert: “Tripartite Role of Service-Learning in the Context of Higher Education” Presented at the 21^st International Conference on Private Higher Education in Africa held on May 9-11, 2023 at St Mary’s University in Addis Ababa, Ethiopia.

· Obogi R. K, : Conditions for complete positivity of operators and their convergence in non-unital C*-algebras. Presented at the 1^st International Scientific Conference in Jaramogi Oginga Odinga University of Science and Technology, Kenya from 24^th -26^th June, 2015.

· Obogi R. K, Okelo N.B, Omolo Ongati: Conditions for positivity of operators in non-unital C*-algebras. Presented at the 1^st International Conference in Maasai Mara University, Kenya from 11^th -14^th November, 2014.

SEMINARS AND WORKSHOPS ATTENDED

· Attended integrity sensitization workshop for Management staff of Kisii University held on 10^th June, 2025 organized by EACC and Kisii University

· Atttended a workshop on information security management (ISMS) documentation training held on 7^thto 11^thApril 2025, at Nyakoe Hotel.

· Research workshop for Deans of Science and Engineering from Universities held at Morendat Institute of Oil and Gas, Naivasha on 29^th May 2024-30^th May 2024.

· Organized and facilitated STEM teachers training workshop for STEM and climate change at Kisii University on 22^nd March 2024and 23^rd March 2024

· Competency based education and training (CBET) workshop at Kisii University on aligning Curricula with CBC on 19/03/2024-20/03/2024.

· Workshop on Development of Schools strategic plans held at Nyakoe Hotel, Kisii county, Kenya on 6^th July, 2022-8^th July, 2022

· Workshop on the process of University Programme design and Development, held at Nyakoe Hotel, Kisii county, Kenya on 2^nd June, 2017

· Management training at Kisii university for two days on 28/05/2014-30/05/2014

· Curriculum development, review and content delivery training held for two days by Kisii university at Nyakoe Hotel for three days from 13^th July 2014-17^th July 2014

POST GRADUATE PHD STUDENT SUPERVISION

POST GRADUATE MASTERS STUDENT SUPERVISION

RESEARCH INTERESTS

1. Functional Analysis/Operator theory,

2. Mathematical Modelling and Analysis,

3. Number theory and applications to computing

4. Local and International Educational aspects.

HOBBIES

.Reading

.Travelling

.Listening to music

.Socialising

REFEREES:

1. Prof. Benard Okelo, PhD

Lecturer Department of Mathematics & Actuarial Science

Jaramogi Oginga Odinga University of Science & Technology

P. O. Box 210-40601, Bondo

Email: bnyaare@yahoo.com

0723397455.

2. Prof. Omolo Ongati, PhD

Dean School of Mathematics & Actuarial Science

Jaramogi Oginga Odinga University of Science & Technology

P. O. Box 210-40601, Bondo

Email: nomoolongati@yahoo.com

0723340602.