Jos´eM. Vega-Guzm´an Curriculum Vitae Contact Department of Mathematics Tel: (409) 880-8792 Information College of Arts and Sciences Fax: (409) 880-8794 Lamar University email: [email protected] 200-C Lucas Building URL: https://sites.google.com/site/profjmvg/ Beaumont, TX 77710 Education PhD (Applied Mathematics) 2008{2013 • Arizona State University, Tempe, AZ • Co-Advisors: Sergei K. Suslov and Carlos Castillo-Chavez • Dissertation Title: Solution Methods for Certain Evolution Equations Master in Natural Sciences (Mathematics) 2006{2008 • Arizona State University, Tempe, AZ B.S. (MathEd) 2000{2005 • Universidad de Puerto Rico, Cayey, PR • Advisor: Maria A. Avi~n´o Research Interests Nonlinear Wave Propagation. Quantum Mechanics. Integrability of Nonlinear Evolution Equations. Applications of ODE's and PDE's in the Natural Sciences. Mathematical Modeling. Publications 2017 Vega{Guzm´an,J.M.; Alqahtani, R.; Zhou, Q.; Mahmood, M.F.; Moshokoa, S.P.; Ullah, M.Z.; Biswas, A.; Belic, M. Optical solitons for Lakshmanan-Porsezian-Daniel model with spatio-temporal dispersion using the method of undetermined coefficients. Optik - International Journal for Light and Electron Optics. 144, 115{123. 2017 Wang, G.; Kara, A.H.; Vega{Guzm´an,J.M.; Biswas, A. Group analysis, nonlinear self-adjointness, conser- vation laws and soliton solutions for the mKdV systems. Nonlinear Analysis: Modeling and Control. 22(3), 334{346. 2017 Vega{Guzm´an,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{Guzm´an,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. 2016 Vega{Guzm´an,J.M.; Zhou, Q; Mahmood, M.F.; Moraru, L.; Johnson, S.; Biswas, A. Singular optical soli- tons in parabolic and dual power law media. Journal of Computational and Theoretical Nanoscience. 13, 4825{4828. 2016 Banaja, M.A.; Alkhateeb, S.A.; Alshaery, A.A.; Hilal, E.M.; Vega-Guzman, J.M.; Moraru, L.; Zhou, Q; Biswas, A. Singular optical solitons in nonlinear directional couplers. Maejo International J. of Science and Technology. 13, 4660{4664. 2016 Wang, G.; Kara, A.H.; Fakhar, K.; Vega-Guzman, J.M.; Biswas, A. Group analysis, exact solutions and conservative laws of generalized fifth order KdV equation. Chaos, Solitons & Fractals. 86, 8{15. 2016 Brooks, S.D.; Tilghman, J.; Vega-Guzman, J.M.; Mahmood, M.F. A mathematical framework for analysis of medical adherence in the management of chronic diseases. Pioneer J. of Mathematics and Mathe- matical Science. 17(1), 7{22. 2016 Xu, Y.; Vega{Guzm´an,J.M.; Milovic, D.; Mirzazadeh, M.; Eslami, M.; Mahmood, M.F.; Biswas, A.; 1 of 7 Belic, M. Bright and exotic solitons in metamaterials by semi-inverse variational principle. Journal of Nonlinear Optical Physics Materials, 24(4), 1550042. 2016 Vega{Guzm´an,J.M.; Mahmood, M.F.; Zhou, Q; Zerrad, E.; Biswas, A.; Belic, M. Optical solitons with higher order dispersion and full nonlinearity in non-Kerr law media. Journal of Computational and Theoretical nano sciences, 24(4) 1550042. 2015 Vega{Guzm´an,J.M.; Mahmood, M.F.; Milovic, D.; Zerrad E.; Biswas, A.; Belic, M. Dark and singu- lar solitons of Kundu-Eckhaus equation for optical fibers. Journal of Optoelectronics and Advanced Materials-Rapid Communications, 9(11-12), 1353{1355. 2015 Younis, M.; Rizvi, S.; Mahmoud, A.; Vega{Guzm´an,J.M.; Zhou, Q.; Biswas, A.; Belic, M. Optical solitons in dual-core fibers with inter-modal dispersion. Journal of Optoelectronics and Advanced Materials-Rapid Communications, 9(9-10), 1126{1134. 2015 Vega{Guzm´an,J.M.; Hilal, E.M. ; Alshaery, A.A.; Bhrawy, A.H.; Mahmood, M.F.; Moraru, L.; Biswas, A. Thiring optical solitons with spatio-temporal dispersion. Proceedings of the Romanian Academy, Series A, 16(1), 41{46. 2015 Vega{Guzm´an,J.M.; Zhou, Q.; Alshaery, A.A.; Hilal, E.M.; Bhrawy, A.H.; Biswas, A. Optical solitons in cascaded systems with spatio-temporal dispersion by ansatz approach. Journal of Optoelectronics and Advanced Materials, 17(1-2), 165{171. 2014 Vega{Guzm´an,J.M.; Alshaery, A.A.; Hilal, E.M.; Bhrawy, A.H.; Mahmood, M.F.; Moraru, L.; Biswas, A. Optical soliton perturbation in magneto-optic waveguides with spatio-temporal dispersion. Journal of Optoelectronics and Advanced Materials 16(9-10), 1063-1070. 2014 Ebadi, G.; Mojaver, A.; Vega{Guzm´an,J.M.; Khan, K.R.; Mahmood, M.F.; Moraru, L.; Biswas, A.; Belic, M. Solitons in Optical Metamaterials by F-Expansion Scheme. Journal of Optoelectronics and Advanced Materials-Rapid Communications, 8(9-10), 828{832. 2014 Herrera{Valdez, M.; Suslov, S.; Vega{Guzm´an,J.M. A Graphical Approach to a Model of Neuronal Tree with Variable Diameter. Mathematics 2(3), 119{135. 2014 Suazo, E.; Suslov, S.; Vega{Guzm´an,J.M. The Riccati System and a Diffusion–type equation. Mathe- matics 2(2), 96{118. 2013 Kryuchkov, S.I.; Suslov, S.; Vega{Guzm´an,J.M. The minimum-uncertainty squeezed states for atoms and photons in cavity. Jornal of Physics B: Atoms and Molecules in Optical Physics 46, 104007 (15pp) **Selected by the Editorial Board of J. Phys. B as a Highlight of the year ** and **IOPselect** 2013 Vega{Guzm´an,J.M. Solution Methods for Certain Evolution Equations. Ph.D. Dissertation, ProQuest/UMI. 2013 Lopez, R.; Suslov, S.; Vega{Guzm´an,J.M. On a Hidden Symmetry of Quantum Harmonic Oscillators. Physica Scripta 19(4), 543{554. 2013 Lopez, R.; Suslov, S.; Vega{Guzm´an,J.M. Reconstructing the Schr¨odingerGroups. Physica Scripta 87(3), 038112 (6pp). 2011 Suazo, E.; Suslov, S.; Vega{Guzm´an,J.M. The Riccati Differential Equation and a Diffusion–type equa- tion. New York Journal of Mathematics. 17a, 225{244. 2009 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. 2 of 7 Professional Employment 1. (Fall 2016 { ) Assistant Professor. Department of Mathematics, Lamar University. Beaumont, TX. • Courses Taught at Lamar University { Undergraduate: MATH 2311 (Precalculus I); MATH 2312 (Precalculus II); MATH 2413 (Calculus I); MATH 2413 (Calculus II); MATH 3435 (Calculus III); MATH 3328 (Linear Algebra I); MATH 4315 (Numerical Analysis); MATH 4318 (Applied Linear Algebra with Matrix Theory) { Graduate: MATH 5315 (Numerical Analysis); MATH 5328 (Applied Linear Algebra with Matrix Theory) 2. (Summer II 2016) Adjunct Professor. Department of Mathematics, Lamar University. Beaumont, TX. 3. (Fall 2013 { Summer 2016 ) Alliance Postdoc. Taught Calculus, College Algebra and Precalculus. Research: Nonlinear wave propagation in different medium[with M.F. Mahmood]. Department of Mathematics, Howard University. Washington, DC. 4. (Fall 2012 { Spring 2013) Research Assistant (RA). Simon A. Levin Mathematical Computational and Modeling Sciences Center. Arizona State University. Tempe, AZ. 5. (Fall 2010 { Srping 2011) Research Assistant (RA). Simon A. Levin Mathematical Computational and Modeling Sciences Center. Arizona State University, Tempe AZ. 6. (Fall 2009 { Spring 2010) Teacher Assistant (TA). Grader in Calculus for Engineers II, Modern Dif- ferential Equations, Linear Algebra, Applied Linear Algebra) Arizona State University. Tempe, AZ. Also, I taught a recitation period for the Calculus section. 7. (Summers 2008{2012) Graduate Research Assistant. Mathematical and Theoretical Biology Institute (MTBI) REU Summer Program. Arizona State University, Tempe AZ • Assisted in teaching a variety of mathematical biology topics at the level of calculus and differential equations. • Taught lessons on Calculus, Linear Algebra and Ordinary Differential Equations to undergraduate students. • Served as a Graduate Research Assistant to self directed undergraduate research for groups of 3{5 students. During Summer 2012 I additionally assisted the independent research of a foreign graduate student. 8. (Fall 2008 { Spring 2009) Research Assistant (RA). Simon A. Levin Mathematical Computational and Modeling Sciences Center. Arizona State University. Tempe, AZ. Presentations Seminar/Colloquium Talks 1. (October 2017) \Nonlinear Wave Solutions of Nonlinear Schrodinger-type equations". In: Mathematics Departmental Seminar, Lamar University. Beaumont, TX. 2. (September 2015) \Mathematical Modeling of Optical Solitons in Metamaterials: An application to In- formation Technology". In: Mathematics Departmental Colloquium, Howard University. Washington, D.C. 3. (March 2015) \Minimum Uncertainty Squeezed States for Simple Harmonic Oscillators". In: Evolution Equations and Dynamical Systems(EEDS) weekly seminar, Howard University. Washington, D.C. 4. (April 2015) \On the analytic solution of some nonautonomous evolution equations". In: Applied Mathematics Seminar, Mathematics Department, George Washington University, Washington D.C. Invited Conference Talks 3 of 7 1. (May 2017) \Minimum{Uncertainty Squeezed States for the Simple Harmonic Oscillator". In: WAVES 2017: 13TH International Conference on Mathematical and Numerical Aspects of Wave Propagation. University of Minnesota, MN. 2. (January 2016) “Schr¨odingergroups: An application in nonrelativistic quantum squeezing". In: Joint Mathematics Meeting (JMM 2016). Seattle, WA. 3. (April 2015) \The Minimum uncertainty squeezed states for quantum harmonic oscillator". In: The Ninth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory (9th IMACS 2015).