Short CV
Contact Information
Mail: Department of Mathematics
Lamar University
200 Lucas Building
PO Box 10047
Beaumont, TX 77710
Office: (409) 880-8540
email: jose.vegaguzman@lamar.edu
drvegaguzman@gmail.com
Education
Ph.D. (Applied Mathematics) Arizona State University, Tempe USA
Co-advisors: Sergei K. Suslov and Carlos Castillo-Chavez
Dissertation: Solution Methods for Certain Evolution Equations
M.N.S. (Master in Natural Sciences / Mathematics) Arizona State University, Tempe USA
B.A. (MathEd) University of Puerto Rico, Cayey P.R.
Appointments
Fall 2016--Present Assistant Professor ---- Lamar University, Beaumont, T.X.
Summer 2016 Adjunct Professor ---- Lamar University, Beaumont, T.X.
2013 --- 2016 Postdoc (with Professor M.F. Mahmood) ---- Howard University, Washington, D.C.
2008 --- 2013 - Research Assistant (RA)
- Teacher Assistant (TA)
- Graduate Research Assistant at the Mathematical
and Theoretical Biology Institute (MTBI) ---- Arizona State University, Tempe, A.Z.
Research Interests
Waves Propagation. Quantum Mechanics.
Nonlinear Optics. Integrability of Nonlinear Evolution Equations
Applications of ODE's and PDE's in Natural Sciences.
Mathematical Modeling.
Graduate Students
Iheagwam Success (2018); Thesis Committee Member
Enock Onoferi (2019); Oral Exam Committee Member
Linda Pham (2020) Thesis Committee Chair
Aaron Phillips (2020) Thesis Committee Chair
Some Publications
Vega-Guzman, J.M.; Ullah, M.Z.; Asma, M.; Zhou, Q.; Biswas, A.
Dispersive solitons in magneto-optic waveguides.
Superlattices and Microstructures, 103, 161-170 (2017)
Vega-Guzman, J.M.; Mahmood, M.F.; Zhou, Q.; Triki, H.; Arnous, A.H.; Biswas, A.;
Moshokoa, S.P. & Belic, M.
Solitons in nonlinear directional couplers with optical metamaterials.
Nonlinear Dynamics, 87, 427-458 (2017)
Wang, G.; Kara, A.H.; Fakhar, K.; Vega-Guzman, J.M.; Biswas, A.
Group Analysis, exact solutions and conservation laws of generalized fifth order KdV equation .
Chaos, Solitons & Fractals, 86, 8-15 (2016)
Xu, Y.; Vega-Guzman, J.M.; Milovic, D.; Mirzazadeh, M.; Eslami, M.; Mahmood, M.F.; Biswas, A; Belic, M.
Bright and exotic solitons in optical metamaterials by semi-inverse variational principle.
J. of Nonlinear Optical Physics Materials, 24(4) 1550042 (2016)
Kryuchkov, S.I.; Suslov, S.; Vega-Guzman, J.M.
The minimum-uncertainty squeezed states for atoms and photons in cavity .
J. of Physics B: Atoms and Molecules in Optical Physics 46, 104007 (2013)
**IOP Select and Highlight of 2013***
Lopez, R.; Suslov, S.; Vega-Guzman, J.M.
On a Hidden Symmetry of Quantum Harmonic Oscillators.
Physica Scripta 19(4), 543-554 (2013)
Lopez, R.; Suslov, S.; Vega-Guzman, J.M.
Reconstructing the Schrodinger Groups.
Physica Scripta 87(3), 038112 (2013).
Suazo, E.; Suslov, S.; Vega-Guzman, J.M.
The Riccati Differential Equation and a Diffusion-type equation.
New York Journal of Mathematics. 17a, 225-244 (2011).
Castro, F.N.; Rubio, I.; Vega, J.M.
Divisibility of exponential sums and solvability of certain equations over finite fields.
The Quarterly Journal of Mathematics. 60(2), 169-181 (2009).
0. On the Integrability aspects of the NLSE with non-Kerr law nonlinearities.