|Office Location:||021 Physics|
|Advisor(s):||Arlie O. Petters|
|Thesis Title:||Stochastic Gravitational Lensing|
|BS||University of Buea||2003|
My research lies in gravitational lensing, the study of the effects of matter on light. I am developing an analytical theory of stochastic gravitational microlensing. To this end I study stochastic models for the distribution of dark matter on galactic scales. This is done by characterizing the stochastic behaviour of important physical random fields. One approach is to establish central limit theorems for these random fields at specific points. I use a mixture of tools from probability theory, singularity theory, geometry, inverse problems, and fourier and asymptotic analysis in my work. This work has applications to the study of the distribution of dark matter substructure on galactic scales. I have also explored problems related to counting the number of zeroes of complex non-harmonic polynomials and geometric approach to dark matter.