Biography
Dr. Omenyi Louis holds a Ph.D. in Mathematics from the prestigious Loughborough University in United Kingdom. His research focuses on spectral theory, spectral geometry and global analysis of elliptic differential operators on Riemannian manifolds. These have direct consequences for operator theory, functional analysis and differential equations on manifolds.
He uses the techniques of heat kernel asymptotics, harmonic analysis and complex analysis in the study of the extremal properties of the most prominent spectral invariants, namely, spectral determinant and Casimir energy defined via the spectral zeta function under perturbations of metric of Riemannian manifolds. Researches in this area have implications for problems in quantum physics.
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Louis Omenyi |
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Louis Omenyi | ||||
| Research Gate ID | Louis Omenyi | Google Scholar ID | Louis Omenyi | ||||
Academic Qualifications
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Loughborough University, Leicestershire, United Kingdom | PhD | 2014 |
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Loughborough University, Leicestershire, United Kingdom |
MSc
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2010 |
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Ebonyi State University, Abakaliki, Nigeria | BSc. (first class honours) | 2007 |
Teaching And Research Interests
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Global Analysis |
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Spectral Theory |
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Functional Analysis |
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Partial Differential Equations |
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Calculus |
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Operator Theory |
Membership of Professional Bodies
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Young Functional Analysts’ (YFAW), United Kingdom |
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London Mathematical Society (LMS) |
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Global Analysis and PDEs Research Group, Loughborough University, United Kingdom |
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Nigerian Mathematical Society (NMS) |
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Science Teachers’ Association of Nigeria (STAN) |
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Mathematical Association of Nigeria (MAN) |
Selected Publications
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Omenyi Louis, (2017); A Computation of Casimir Energy on a Parallelepiped; Asian Research Journal of Mathematics, vol. 4. Issue 3, pp. 1 – 14. ISSN: 2456-477X. Article no. ARJOM.33689. DOI: 10.9734/ARJOM/2017/33317. Available: www.sciencedomain.org |
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Louis Omenyi, Emmanuel Nwaeze and McSylvester Omaba (2017); Generic simplicity of a Schrodinger-type operator on the torus; Asian Research Journal of Mathematics, vol. 2. Issue 1, pp. 1 – 19. ISSN: 2456-477X. Article no. ARJOM.31160. DOI: 10.9734/ARJOM/2016/31160. Available: www.sciencedomain.org |
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Omenyi Louis (2016); Meromorphic continuation of the spectral zeta kernel; Gen. Math. Notes, Vol. 36, No. 2, October 2016, pp. 26-37. www.i-csrs.org. Available online:http://www.geman.in |
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Louis Omenyi (2016); Conformal variations of the spectral zeta function of the Laplacian; Journal of Mathematical and Computational Science, vol. 6, No. 6, pp. 1024 -1046. ISSN: 1927-5307. Available: http://scik.org. |
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Louis Omenyi (2016); Vacuum energy of the Laplacian on the spheres; Asian Research Journal of Mathematics, vol. 1. Issue 5, pp. 1 – 14. ISSN: 2456-477X. Article no. ARJOM.30523. DOI: 10.9734/ARJOM/2016/30523. Available: www.sciencedomain.org |
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E. M. Omaba, E. Nwaeze and L. O. Omenyi (2017); On Non-existence of Global Weak-Predictable-random-_eld Solutions of a Class of SHEs; Asian Research Journal of Mathematics, vol. 4. Issue 2, pp. 1 – 14. ISSN: 2456-477X. Article no. ARJOM.33317. DOI:10.9734/ARJOM/2017/33317. Available: www.sciencedomain.org |
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Omenyi Louis (2014); On The Second Variation Of The Spectral Zeta Function Of The Laplacian On Homogeneous Riemannian Manifolds; British Library; ISNI: 0000 0004 5357 4948. |
Staff Information
- +2348123544780
- omenyi.louis@funai.edu.ng