CURRICULUM VITAE
- Personal Data
- Name : Pablo V. Negrón-Marrero
- Address : University of Puerto Rico, Department of Mathematics, Humacao, Puerto Rico 00791
- Telephones: (787) 850-0000 Ext. 9040 (Office), (787) 850-9409 (Fax).
- Educational Background
- Ph.D., Applied Mathematics, August 1985, University of Maryland, College Park.
- M.S., Applied Mathematics, May 1980, University of Puerto Rico, Rio Piedras.
- B.S., Mathematics, July 1978, University of Puerto Rico, Rio Piedras.
- Actuarial Examination Results
- Exam 110, approved, November 1999.
- Exam FM, approved, November 2006.
- Selected Research Grants Received
- Undergraduate Research in Mathematics as a Strategy to Increase Academic Achievement and Promote Students to Higher Education in Mathematics, approved by the National Security Agency, January 2005.
- NSA-UPRH Regional Conference on Global Continuation Methods in Three Dimensional Elasticity, approved by the National Security Agency, January 2003.
- Co-Director of "1999 The SACNAS-University of Puerto Rico at Humacao Summer Institute in Mathematics for Undergraduate Research", approved by the National Security Agency, the University of Puerto Rico, the National Science Foundation, and the Alliance for Minority Participation, January 1999.
- Co-Director of "1998 The SACNAS-University of Puerto Rico at Humacao Summer Institute in Mathematics for Undergraduate Research", approved by the National Security Agency, the University of Puerto Rico, the National Aeronautics and Space Administration, and the Alliance for Minority Participation, January 1998.
- "Computation of Bifurcation Diagrams for Nonlinearly Elastic Anisotropic Plates", National Science Foundation, Division of Mathematical Sciences, approved for $83,500 (3 years), August 1988.
- Selected Research Publications
- Negrón-Marrero, P. V. and Sivaloganathan, J., A characterisation of the boundary displacements which induce cavitation in an elastic body, accepted for publication, Journal of Elasticity, November 2011.
- Negrón-Marrero, P. V. and Campo, E., A nonlinear model of an actuator, Proceedings of the SPIE Optics+Photonics Conference, San Diego, California, August, 2011.
- Negrón-Marrero, P. V. and Sivaloganathan, J., The volume derivative and its approximation in the case of Radial Cavitation, accepted for publication, SIAM Journal of Applied Mathematics, August 2011.
- Negrón-Marrero, P.V. and Montes-Pizarro, E., Violation of the Complementing Condition and Local Bifurcation in Nonlinear Elasticity, Journal of Elasticity, 2011, (DOI) 10.1007/s10659-011-9349-y.
- Negrón-Marrero, P.V. and Montes-Pizarro, E., The Complementing Condition and its role on a global bifurcation theory applicable to nonlinear elasticity, New York Journal of Mathematics, 17a (2011) 245-265.
- Negrón-Marrero, P. V. and Sivaloganathan, J., The Numerical Computation of the Critical Boundary Displacement for Radial Cavitation, Mathematics and Mechanics of Solids, 14: 696–726, 2009.
- Montes-Pizarro, E. and Negrón-Marrero, P. V., A Second Gradient Model for a Rectangular Slab, Journal of Elasticity, Vol. 86, No. 2, 173-204, 2006.
- Negrón-Marrero, P.V., The Hanging Rope of Minimum Elongation for a Nonlinear Stress-Strain Relation, Journal of Elasticity, 71: 133--155, 2003.
- Negrón-Marrero, P.V. and Montes-Pizarro, E., Axisymmetric Deformations of Cylinders Under Lateral Compression-The Linear Problem, Journal of Elasticity, 65: 61-86, 2001.
- Negrón-Marrero, P.V., An Analysis of the Linearized Equations for Axisymmetric Deformations of Hyperelastic Cylinders, Journal of Mathematics and Mechanics of Solids, 4: 109-133, 1999.
- Negrón-Marrero, P.V., An Algebraic Criterion for Cavitation, Journal of Mathematical Modeling and Scientific Computing, Proceedings of the 10th International Conference on Mathematical Modeling and Computer Modeling and Scientific Computing, Boston, July 1995; X.J.R. Avula and Anil Nerode, Editors, Vol. 6, 1996.
- Negrón-Marrero, P.V. and Betancourt, O., The Numerical Computation of Singular Minimizers in Two Dimensional Elasticity, Journal of Computational Physics, Vol. 113, No. 2, pp. 291-303, August 1994.
- Negrón-Marrero, P.V. and Betancourt, O., A Pre-Conditioned Spectral Collocation Method for two Dimensional Nonlinear Elasticity, Journal of Mathematical Modeling and Scientific Computing, Proceedings of the 9th International Conference on Mathematical Modeling and Computer Modeling and Scientific Computing, Berkeley, July 1993, X.J.R. Avula, Editor, Vol. 4, 1994.
- Negrón-Marrero, P.V. and Santiago-Figueroa, B., Novel Stability Patterns for the Necking of Plates in Tension: A Numerical Study, Applied Numerical Mathematics, Vol. 13, 491-512, 1994.
- Marcano-Velázquez, M. and Negrón-Marrero, P.V., The Numerical Solution of the von Karman Equations using Multigrid Methods, Congressus Numerantium, 94, 17-28, 1993.
- Negrón-Marrero, P.V., Shear Instabilities for the Buckling of Nonlinearly Elastic Plates, Quarterly of Applied Mathematics, Vol. XLIX, No. 3, 477-493, 1991.
- Negrón-Marrero, P.V., A Numerical Method for Detecting Singular Minimizers of Multidimensional Problems in Nonlinear Elasticity, Numerische Mathematik, 58, 135-144, 1990.
- Negrón-Marrero, P.V. and Antman, S.S., Singular Bifurcation Problems for the Buckling of Anisotropic Plates, Proc. Roy. Soc. London A 427, 95-137, 1990.
- Negrón Marrero, P.V., Necked States of Nonlinearly Elastic Plates, Proceedings of The Royal Society of Edinburgh, 112A, 277-291, 1989.
- Negrón Marrero, P.V. and Carbonera, C., The Numerical Computation of Compressed States for Nonlinearly Elastic Anisotropic Plates, Numerische Mathematik, 56, 93-107, 1989.
- Antman, S.S. and Negrón-Marrero, P.V., The Remarkable Nature of Radially Symmetric Equilibrium States of Nonlinearly Elastic Bodies, Journal of Elasticity, 131-164, 1987.