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). Athens, Georgia. 4. (March 2015) “Combined Optical Solitons in Perturbed Metamaterials”. In: Conference on Partial Differential Equations 2015(COPDE 2015). Munich, Germany. 5. (May 2014) “On the Solution of Certain Evolution Equations ”. In: Conference on Partial Differential Equations (COPDE 2014). Novacella, Italy. 6. (April 2014) “The minimum-uncertainty squeezed states for simple harmonic oscillator”. In: HU Research Day. Washington, DC.

7. (March 2013) “Fundamental Solution for Certain Evolution Equations”. In: AbiTUMath 2013. Novacela, Italy. 8. (March 2013) “Constructing a Solution to the IVP for a Generalized Diffusion-type equation on R”. In: Emerging Researchers National Conference in STEM (ERN 2013). Washington, DC.

9. (January 2013) “Solution Methods for Certain Evolution Equations”. In: Joint Mathematics Meeting (JMM 2013). San Diego, CA. 10. (October 2012) “On the minimum uncertainty squeezed states for simple harmonic oscillators”. In: Symposium on Differential Equations and Difference Equations (SDEDE 2012). Novacella, Italy.

11. (October 2012) “The minimum uncertainty squeezed states for simple harmonic oscillators”. In: 9th Differential Equations & Computational Simulations (DECS 2012). Starkville, MS. 12. (April 2012) “Lectures on PDE’s”. I gave two lectures in: OSTERSEMINAR 2012. Novacela, Italy. 13. (February 2012) “Explicit Solution of Certain Linear and nonlinear Diffusion-type equations”. In: ERN Conference. Atlanta, GA.

14. (November 2011) “The Riccati System and Diffusion–type Equations”. In: SIAM Conference on Anal- ysis of PDEs. San Diego, CA. 15. (June 2011) “Integrable PDE Systems”. In: Mini–Workshop 2: PDEs and DDEs in Mathematical Biology. Arizona State University. Tempe, AZ.

16. (June 2009) “Spread of A/H1N1 in Mexico considering cross–immunity and control measures” In: Mit- igating the Spread of A/H1N1 Flu: Lessons Learned from Past Outbreaks. Arizona State University. Tempe, AZ. 17. (August 2007) “Modeling transmission dynamics for the 1918–1919 influenza pandemic in Montreal and Winnipeg”. In: MTBI, Arizona State University. Tempe, AZ.

Posters

1. (March 2012)On the quantum harmonic oscillator group. In: LSAMP 2016. National Harbor, MD. 2. (March 2012)Group and symmetry of quantum harmonic oscillators. In: SIDIM XXVII. University of Puerto Rico (UPRM). Mayag¨uez,PR. 3. (October 2011) “Solvable non–autonomous diffusion–type equations”. In: Fifth Annual Mathematical Field of Dreams Conference. Arizona State University. Tempe, AZ. 4. (May 2011) “Some Diffusion and Burgers–Type equations”. In: ICSSUR 2011. Foz do Igua¸cu, Brazil.

4 of 7 5. (February 2011) “Role of Treatment Facemask use and Hand Hygiene in a model for the Spread of Res- piratory Diseases”. In: Eight Annual Arizona More Graduate Education at Mountain States Alliance (MGE@MSA). Arizona State University. Tempe, AZ. 6. (June 2008) “A Stochastic model of the Pandemic Influenza of 1918 in Montreal”. In: NSF 2008 Joint Annual Meeting (JAM). Washington, DC.

7. (October 2008) “Modeling transmission dynamics for the 1918–1919 influenza pandemic in Montreal and Winnipeg”. In: SACNAS. Kansas City, MO. 8. (February 2005) “Estudio de sistemas din´amicos finitos afines nilpotentes”. In: SIDIM XX. Universidad de Puerto Rico. Mayag¨uez,PR.

Conferences & Workshops 1. (May 2017) WAVES 2017: 13TH International Conference on Mathematical and Numerical Aspects of Wave Propagation. University of Minnesota, MN. 2. (February 2016) Alliances for Minority Participation Research Symposium 2016 (LSAMP 2016). Na- tional Harbor, MD.

3. (February 2016) 2016 February Fourier Talks (FFT 2016). University of Maryland, College Park, MD. 4. (January 2016) Joint Mathematics Meeting (JMM 2016). Seattle, WA. 5. (July 2015) Summer School in PDEs. George Washington University, D.C. 6. (April 2015) Latin@s in the Mathematical Sciences Conference(LAT2015). IPAM at UCLA

7. (April 2015) The 9th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory (IMACS 2015). Georgia, USA. 8. (March 2015) Conference on Partial Differential Equations (COPDE 2015). Munich, Germany. I was member of Organizing Committee and invited speaker.

9. (June 2014) Mathematical Foundations of Transformation Optics. Washington, DC. 10. (May 2014) Conference on Partial Differential Equations (COPDE 2014). Novacella, Italy. 11. (January 2014) Joint Mathematics Meeting (JMM 2014). Baltimore, MD.

12. (January 2013) Joint Mathematics Meeting (JMM 2013). San Diego, CA. 13. (October 2012) Symposium on Differential Equations and Difference Equations (DECS 2012). Nova- cella, Italy. 14. (October 2012) 9th Differential Equations & Computational Simulations (DECS 2012). Mississippi State University. Starkville, MS.

15. (June 2012) Mathematical Research Community Workshop on Partial Differential Equations, Harmonic Analysis, Complex Analysis, and Geometric Measure Theory (MRC 2012). Snowbird, UT. 16. (March 2012) SIDIM XXVII, University of Puerto Rico (UPRM). Mayag¨uez,PR. 17. (February 2012) Emerging Research National Conference in STEM (ERN 2012). Atlanta, GA.

18. (November 2011) SIAM Conference on Analysis of Partial Differential Equations. San Diego, CA. 19. (June 26 –July 1, 2011) Mini–Workshop 3: Heterogeneity and Ecologies. Arizona State University. Tempe, AZ. 20. (June 1–11, 2011) Mini–Workshop 2: PDEs and DDEs in Mathematical Biology Arizona State Uni- versity. Tempe, AZ. 21. (May 28–29 2011) Southern California Analysis of Partial Differential Equations Conference (SCAPDE 2011). University of California. San Diego, CA.

5 of 7 22. (May 8–14, 2011) Mini–Workshop 1: Heterogeneity and Ecologies. Arizona State University. Tempe, AZ. 23. (May 2–6 2011) 12th International Conference on Squeezed States and Uncertainty Relations. Foz do Iguacu, Brazil. 24. (September 2009) Mitigating the Spread of A/H1N1 Flu: Lessons Learned from the Past Outbreaks (Part II). Vancouver, Canada. 25. (June 2009) Mitigating the Spread of A/H1N1 Flu: Lessons Learned from the Past Outbreaks (Part I). Tempe, AZ. 26. (2007 & 2008) NSF Joint Annual Meeting (JAM). Washington, DC. 27. (October 2007) National conference of the Society for Advancement of Chicanos and Native Americans in Science (SACNAS). Kansas City, MO. 28. (February 25–26 2005) SIDIM XX. University of Puerto Rico (UPRM). Mayag¨uez,PR.

Awards and Honors 1. (April 2015) IPAM Travel Grant to attend LAT2015. IPAM at UCLA. 2. (March 2015) NSF Conference Travel Grant to attend COPDE 2015. Novacella, Italy. 3. (June 2014) The article: The minimum-uncertainty squeezed states for atoms and photons in cavity, was selected by the Editorial Board of J. Phys. B as a Highlight of the year. It was also classified as IOP select. 4. (May 2014) NSF Conference Travel Grant DMS-1440664 to attend COPDE 2014. Novacella, Italy. 5. (March 2013) 1st Place on Graduate Level Oral Presentation in Mathematics & Statistics. Emerging Researchers National Conference in STEM (ERN 2013). Washington, DC. 6. (October 2012) Bernd-Aulbach-Prize for Students. Symposium on Differential and Difference Equations (SDEDE 2012). Novacella, Italy. 7. (October 2012) Travel Award. Mississippi State University (DECS 2012). Starkville, MS. 8. (October 2011) Conference Travel Grant. Arizona State University. Tempe, AZ. 9. (June 2011) SIAM Student Chapter Certificate of Recognition. Arizona State University. Tempe, AZ. 10. (May 2011) Travel Award. (SCAPDE 2011) University of California. San Diego, CA. 11. (February 2011) Honorable Mention Award. Doctoral Research Poster Presentation. 9th Annual MGEMSA Student Research Conference. Tempe, AZ. 12. (August–2009) Most Trusting Award. School of Mathematical and Statistical Sciences. Arizona State University. Tempe, AZ. 13. (2009) NACME Scholarship, an Alfred P. Sloan Scholarship. 14. (2006–2008) LSAMP and Western Alliance to Expand Student Opportunities (WAESO). 15. (2004–2005) Research Scholarship. Gauss Research Foundation Inc., “Applications of Finite Dynamical systems” (08/04 – 07/05). University of Puerto Rico. Rio Piedras, PR.

Referee/Reviewer 1. Nonlinear Dynamics 2. Journal of Electromagnetic Waves and Applications 3. Journal of Optoelectronics and Advanced Materials – Rapid Communications 4. Journal of Biological Dynamics 5. SIAM Undergraduate Research Online (SIURO) 6. 2015 SACNAS Abstracts Reviewer

6 of 7 Professional Development 1. (2016-17) Support & Mentoring to Advance Research & Teaching (SMART program). Lamar University. Beaumont, TX. • STEM Teaching & Learning Conference, November 16 & 17 2017 • Establishing Your Authority in the Classroom; A panel discussion with Dr. Melissa Hudler, Ms. Ruth Stanley, and Corporal Jarrod Samford; April-20-2017 • De-escalating Conflict – by Corporal Jarrod Samford, LU Police; March-29-2017 • SMART New Faculty Grant Writing Workshop – by Roxanne Smith-Parks; March-31-2017 • Campus Carry – by Chief Flores from Campus Police; November-1-2016 • Formative and Summative Assessment – by Amy Smith; November-4-2016 • Accessibility – by the Director and the Assistant Director of the Disability Resource Center; October-21-2016 • Conducting mid-semester evaluations in courses – by Amy Smith; October-4-2016 2. (August 2016) Diversity, EEO, and Discrimination Prevention Trainning. Lamar University. Beaumont, TX. 3. (October 2014) Compact for Faculty Diversity. The 21st Institue on Teaching and Mentoring (SREB). Atlanta, GA. 4. (June 2014) Careers in Academia. Institute for Computational and Experimental Research in Mathematics (ICERM). Providence, RI. 5. (March 2013) Workplace Behavior Training. Arizona State University. Tempe, AZ. 6. (Fall 2011) Responsible Conduct of Research Training. Arizona State University. Tempe, AZ. 7. (Spring 2011) Panel Discussion on Ethics of Authorship. Arizona State University. Tempe, AZ. 8. (August 2009) Teacher Assistant Training . Arizona State University. Tempe, AZ.

Extracurricular Activities 1. (April 2017) Poster Session Chair. 4TH ANNUAL UNDERGRADUATE RESEARCH & CRE- ATIVITY EXPO AT LAMAR UNIVERSITY. Lamar University. Beaumont, TX. 2. (January 2010, February 2011 & March 2013) Poster Judge. MGE@MSA 9th, 10th, 12th Annual Student Research Conference. Arizona State University. Tempe, AZ. 3. (February 2010, April 2011 & March 2012) Volunteer Service. Sonia Kovalevsky Day (Activity of Women in Math). Arizona State University. West Campus, AZ. 4. (Fall 2011) Volunteer Service. JBMSHP Workshop. Arizona State University. Tempe, AZ. 5. (2010–2011) AMLSS Approach Representative in AAGS council. Arizona State University, Tempe, AZ. 6. (2009–2010) President of SIAM student Chapter of ASU. Arizona State University. Tempe, AZ.

Computer Skills • Languages: Matlab, Mathematica.

• Tools: LATEX • Platforms: Windows, Mac OS X

Languages • English (Speak and write) • Spanish (Speak and write, Native Language)

Updated on 1/09/2018

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