Off Bungoma-Chwele Road

sgs@kibu.ac.ke

+254721589365

Dr. Robert Kati

Office Hours: Monday–Friday

8:00 AM – 5:00 PM

Faculty of Science

2025

Master of Science in Physics

Student’s Name : Isaiah Barasa

The advent and rapid growth of digital credit has made financial access easier. The population, traditionally considered “unbankable” can now access the much desired funds for both household and business needs. Though faster and convenient, digital loans, carry with them unique risks due to uncommon characteristics such as quicker disbursements upon request, proxy borrowing, lack of collateral, improper customer identity verification and unclear purposes for the funds.

Master of Science in Physics

Student’s Name : Sostine Nyukuri Makokha

Clouds form a very crucial component of the atmosphere and plays a pivotal role in regulating the Earth’s energy budget. The knowledge on climate change and its effects lies in the assessment of the cloud properties and therefore it is important to study the properties of clouds.

Master of Science in Pure Mathematics

Student’s Name : Sirengo Clement Wekesa

A Pauli unitary operator refers to any of the four 2 by 2 unitary matrices that form the foundation of the Pauli matrix group in quantum mechanics. This study investigated the applications of Pauli unitary operators in quantum information theory, focusing on their mathematical properties, role in quantum error correction and use in quantum gates. Pauli unitary operators, fundamental to quantum mechanics and quantum computing, are explored through a comprehensive analysis of recent developments in the field.

Master of Science in Statistics

Student’s Name : Barasa Elika Joan

Exchange rate risk is a critical concern for financial institutions particularly in emerging markets like Kenya where currency volatility poses significant challenges to economic stability. Kenyan commercial banks operate in an environment heavily influenced by fluctuations in the Kenyan Shilling (KSH) against the US Dollar (USD) facing considerable risks that disrupt financial planning, profitability and overall market stability.

Master of Science in Physics

Student’s Name : Musawa Edwin Wanjala

Diverse applications of collagen-based materials such as leather have sparked research interest that seek to examine the effect of fatliqours on their mechanical properties. As the applications of these collagen materials increases such as in the field of medicine, footwear and upholstery, more studies are required to gain more insight on how their quality and durability can be improved.

Master of Science in Pure Mathemetics

Student’s Name : Maina Erick

Volatility is a measure of the level of uncertainty about the future of stock price.  Volatility estimation is a fundamental aspect of modern financial analysis and investment strategy formulation, security valuation, risk management and monetary policy making.  It determines the implementation and evaluation of asset and derivative pricing, which has a major input valuation of options in corporate and public liabilities.

Master of Science in Pure Mathemetics

Student’s Name : Muchanga Redempta Namalwa

Character tables form a central tool in the representation theory of finite groups, yet their construction especially for large and complex groups remains a significant challenge. The primary goal of the research was to compute the Fischer matrices and ordinary character table for a specific group extension, namely 28:A10, which was a subgroup of the affine group with structure Sp(8, 2).

Master of Science in Pure Mathematics

Student’s Name : Khadioli Rose Khayere

The subgroup  : of the Automorphism group   is a split extension group where the two component groups include the abelian group  with order 2 and dimension 7 and the Chevalley group    over the finite field with 2 elements. From the ATLAS of Finite Groups, the order of the subgroup    was calculated as 1,548,288. 

Masters of Science in Physics

Student’s Name : Tsimbasi Stanley Chukutsira

Cereals and pulses account for a significant portion, more than 34%, of the diet in most Kenyan households. According to estimates, food consumption accounts for at least one-eighth of the mean annual dose due to natural sources of radiation. Naturally occurring radionuclides mainly belonging to Potassium-40, Thorium-232 and Uranium- 238 chains and man-made radionuclides like Caesium-137 find their way into the food chain contributing to both internal radiation dose and environmental radioactivity. 

Master of Science in Applied Mathematics

Student’s Name : Tobokwa Caren Mutonyi

Early life stress, comprising various adverse experiences during childhood and adolescence, has been linked to long lasting impacts on brain development and mental health outcomes.  However, the multifaceted interactions between these factors and their trajectories over time remain incompletely understood. 

Master of Science in Statistics

Student’s Name : Werunga W. John

Mean reversion is a financial term used in options pricing to describe the trend of stocks. Mathematical concepts in mean reversion have been used many a times in predicting interest rate trends and stock pricing. Many researches that have been done show that the price of a given commodity revert to their equilibrium level and therefore it cannot increase exponentially.

Master of Science in Statistics

Student’s Name : Sifuna Elijah Wafula

Accurate monitoring of primary school enrollment is critical for educational planning in Kenya’s Mt. Elgon region, where parametric methods often fail to capture complex enrollment patterns due to their rigid assumptions. The problem of fluctuating enrollment poses significant challenges for educational planners and policymakers in effectively allocating resources and ensuring consistent access to education, as existing parametric techniques fail to comprehensively capture enrollment trends due to their limitations in handling complex non-linear relationships.

Master of Science in Pure Mathematics

Student’s Name : Caroly Wafula Wekesa

This study aimed to construct the character table of a split extension with shape 28: U4(2) using Fischer-Clifford matrices. A significant research gap existed in applying Fischer-Clifford matrices to characterize this specific split extension. While previous research had demonstrated the method’s effectiveness in deciphering character tables, its application to the 28: U4 (2) split extension remained unexplored. 

Master of Science in Applied Mathematics

Student’s Name : Kalibo Nyongesa Moses

Earth dams serve critical infrastructure functions but pose significant risks when failures occur. Water seepage and internal erosion account for approximately 35% of earth dam failures worldwide, causing devastating losses. Traditional seepage analysis relies exclusively on diffusion-based models derived from Darcy’s law, which assumes water movement occurs solely through concentration gradient-driven transport.

Master of Science in Physics

Student’s Name : Abner Ainea Wamocha

Over the past two decades, cold atoms in optical lattices have emerged as a versatile platform for studying quantum many-body systems, particularly through the Bose-Hubbard Model (BHM). While the conventional BHM has been effective in describing the superfluid–Mott insulator (SF–MI) transition in systems with two-body interactions, it fails to account for local three-body interactions at zero temperature, especially in polar molecules with long-range dipolar forces.

Doctor of Philosophy in Statistics

Student’s Name : Nelson Muhati Lwoyelo

Breast cancer is the most prevalent malignancy worldwide with approximately 2.3 million new cases annually. In Kenya, it disproportionately affects younger women (35-50 years) and represents the leading cancer diagnosis. Current prediction models inadequately quantify uncertainty in tumor responses, leading to suboptimal clinical decision-making due to insufficient integration of clinical variables and failure to account for biological variability and institutional heterogeneity.

Doctor of Philosophy in Applied Mathematics

Student’s Name : Fatuma Nandaha Nyongesa

Climate change poses significant challenges to water resources globally, with Lake Victoria Basin in Kenya experiencing intensified droughts, floods and water quality degradation due to rising temperatures and irregular rainfall patterns. This research developed an integrated SWAT-SEIR model to assess the complex interactions between climate change and hydrological processes.

Doctor of Philosophy in Statistics

Student’s Name : Mulati Omukoba Nyukuri

HIV and AIDS remain a significant public health challenge in Kenya, which has the third-largest HIV epidemic globally with 1.3 million people living with HIV. Despite progress in prevention and treatment, the complex spatiotemporal dynamics of HIV transmission continue to challenge intervention strategies, necessitating advanced modeling approaches that capture spatial heterogeneity and temporal evolution.

2024

Master of Science in Pure Mathematics

Student’s Name : Elizabeth Nanjala Masiga

Simple groups form the building blocks of all other groups and the class of all simple groups is given in a theorem known as classification of finite simple groups. The proof of this theorem, which was a monumental work in group theory involved several researchers and was completed in 1982. It is captured in 500 volumes. In an attempt to better understand and simplify the proof of this theorem, several researchers have embarked on studying the underlying structures of these groups.

Master of Science in Physics

Student’s Name : Nameme Debora

Thermoelectric generators (TEG) offer promising opportunity of converting heat into electrical energy. There is the need to explore highly efficient thermoelectric (TE) materials with aim of improving the performance of TEG. Among the TE materials investigated, are Zintl compounds which have recently gained a lot of interest because of their high figure of merit. The structural, elastic, electronic, and optical properties of BaGe2As2 and BaGe2P2 have been studied theoretically, however their thermoelectric properties have yet to be documented.

Master of Science in Chemistry

Student’s Name : Wamechi Juma Edith Nasambu

Currently, the agricultural sector has been experiencing inorganic fertilizer shortages due to the disintegrating phosphate rock conventionally used as phosphorus source during fertilizer production. The rock disintegration has been caused by its consumption with mining. This has led to low food production amid the increasing human population. For this reason, the conventional inorganic fertilizers availed to the market are scarce and unaffordable because the conventional methods of their syntheses require large amounts of energy and resources.

Master of Science in Physics

Student’s Name : Natang’ah Edwin Chemos

Natural radioisotopes are present in all sanitary ware products used in building and construction. The primary source of outdoor radiation that residents of homes or workplaces are exposed to is these radioisotopes. Determining the radiation levels of sanitary wares in terms of production materials (ceramic and porcelain) and countries of importation of these items used in buildings is crucial. In this study, Thallium doped sodium iodide detector NaI(Ti) was used to obtain levels (226Ra, 232Th, and 40K) in twenty sanitary ware products.

Master of Science in Chemistry

Student’s Name : Simon Magero Simiyu

Animal wastes specifically livestock and poultry waste are gaining mileage as an alternative to commercial nitrogenous fertilizers. Livestock and poultry manure however vary in the composition of macro and micro-nutrients, pH, and absorptivity. There was therefore need to combine different manure types for optimal plant growth because optimization of animal manure mixing ratios is among the methods of improving manure efficiency. However, optimization procedures are considered sophisticated by farmers and researchers.

Master of Science in Pure Mathematics

Student’s Name : Sikolia Murunga Jacinta

The group 2^7: G_2(2), is an extension of an elementary abelian group of order 2^7 by the exceptional group G_2(2). There are eleven maximal subgroup conjugacy classes in the simple symplectic group Sp_8(2). The split extension group of the 2^7: G_2(2) of order 1548288 is one of the maximal subgroups Sp_8(2). In this study, the theory of Fischer-Clifford matrices to construct the character table of the maximal subgroup 2^7: G_2(2) of the affine subgroup Sp_8(2) is used.

2023

Master of Science Applied Mathematics

Student’s Name : Rhoda Machuma Mamuli

Symmetry of a differential equation is a transformation that maps any solution to another solution of the system. In Lie’s framework such transformations are groups that depend on continuous parameters and consist of point transformations or point symmetries acting on the systems space of independent and dependent variables. Lie groups and its infinitesimal generators can be naturally prolonged to act on the space of independent variables. In this thesis, we present Lie symmetry analysis to solve a non-linear ordinary differential equation of an electric power flow model.

Master of Science In Statistics

Student’s Name : Everlyne Nyangano Amwayi

Performance contracting (PC) in Kenya can be traced back to 1993 when the government started implementing public sector reforms, Kenya’s Vision 2030 has recognized Pamong the key strategies to strengthening public administration and service delivery. In public secondary schools, the teachers have to undergo a continuous Teacher Performance Appraisal (TPA) which forms part of the Performance Contract that the Principal signs as a binding agreement between the school and the government.

Master of Science Physics

Student’s Name : Mukanda Kere Wanyama

Naturally occurring radioactivity has existed in our environment since the creation of the earth. 238U, 232Th and 40K radionuclides are found in significant concentrations in soils. These radionuclides pose exposure risks which can lead to health related problems like lung cancer and bone cancer especially when they exceed the recommended safety limits. A radiological assessment of 238U, 232Th and 40K in the top soils of Ahero paddy fields of Kisumu County was done using NaI(TI) gamma ray spectroscopy.

Master of Science Physics

Student’s Name : Churchill Oduor Wanyera

Superconductivity is the state of a material characterized by close to zero dc electrical resistance, hence infinite conductivity by the material, when the temperature of the material is lowered below the critical temperature () in a zero magnetic field strength. There are two categories of superconductors; s-wave superconductors that are isotropic and d-wave superconductors that are anisotropic. The microscopic theory of superconductivity by Bardeen, Schrieffer and Cooper (BCS theory) explains s-wave pairing of charges under ambient pressure but it fails to explain charge pairing under high pressure. Studies have shown that superconductivity in hydrides is due to electron-phonon mediation.

Master of Science Physics

Student’s Name : Wabomba Jasper Sifuna

Natural radioactivity levels and radiation risks due to fallow and agricultural soils of Trans- nzoia County was measured. Trans-nzoia County is one of the counties in Kenya known for large-scale maize farming. This study analyzed natural radioactivity and radionuclides distribution in fallow and agricultural soils in Trans-nzoia County. Limited research had been done to assess the radiation levels due to primordial and anthropogenic processes in Trans- Nzoia County. The activity concentration levels of natural radionuclides (232Th, 238U, and 40K) in soil samples were analyzed using NaI (TI) gamma-ray spectrometry methods.

Doctor of Philosophy Physics

Student’s Name : Khamala Geoffrey Wanjala

The unprecedented increase in anthropogenic activities coupled with the prevailing climatic conditions has increased the aerosol load over East Africa (EA). The aerosols have had detrimental effect to the local climate, human health and environment. There is therefore need for intensive characterization of aerosols properties over different domains, especially those that have lagged behind the rest of the world, such as EA. Given this, the present study has presented a spatiotemporal analysis of total aerosol optical depth (TAOD), absorptive aerosol optical depth (AAOD), scattering aerosol optical depth (SAOD) and direct aerosol radiative forcing (DARF) aerosol characteristics together with microphysical properties at distinct spatio-temporal scales over East Africa.