Universidad Nacional Mayor de San Marcos
Facultad de Ciencias Matemáticas
Departmento de Matemáticas
Av. Venezuela s/n - Lima 1, PERU
Phone (Mobil): (511) 945928777 Fax: (511) 4646442
Phone (Office): (511) 6197000-1603
E-mail: rlopezc@unmsm.edu.pe
URL: http://sites.google.com/site/roximat
ACADEMIC PREPARATION
2006 Ph.D. in Mathematics, Arizona State University, Tempe, AZ Concentrations: MathBiology, Delay Differential Equations Advisor: Yang Kuang, Ph.D. Thesis: Structured SI Epidemic Models with Applications to HIV Epidemic
1993 M.S. in Mathematics, Universidad Nacional Mayor de San Marcos, Lima Peru Concentrations: Numerical Methods of Partial Differential Equations Advisor: Dr. Pedro Celino Espinoza Haro Thesis: Superconvergencia del Gradiente Soluciones en Elementos Finitos Isoparam´etricos (Superconvergence of Gradient of Solutions in Isoparametric Finite Element)
1984 B.A. in Mathematics, Universidad Nacional Mayor de San Marcos, Lima Peru Concentrations: Functional Analysis, Differential Equations
LICENSURE
1993 Professional Licentiate in Mathematics
Universidad Nacional Mayor de San Marcos, Lima Peru Concentrations: Functional Analysis, Numerical Methods of Partial Differential Equations Advisor: Dr. Pedro Celino Espinoza Haro Thesis: Estimaciones Globales del Error para una Ecuaci´on de Sobolev (Global Estimates for the Error of a Sobolev Equation)
PROFESSIONAL EXPERIENCE
2009-present Full Professor Facultad de Ciencias Matematicas, Universidad Nacional Mayor de San Marcos , Lima Peru Courses : (Graduate studies) Research Seminar, Thesis Seminar, Functional Analysis, Numerical Analysis (Undergraduate studies) Mathematical Ecology, Modeling Techniques, Thesis Seminar
2010-present Associate Professor, Universidad de Lima, Perú. Courses: Calculus, Linear Algebra.
1999-2008 Associate Professor Facultad de Ciencias Matematicas, Universidad Nacional Mayor de San Marcos , Lima Peru Courses : Modeling Techniques, Real Analysis, Functional Analysis, Finite Element Methods, Computational Mathematics, Partial Differential Equations, Ordinary Differential Equations, Thesis Seminar (undergraduate), Calculus
Spring 2006 Research Assistant Undergraduate Biology and Mathematics UBM Program Department of Mathematics and Statistics -Arizona State University
Fall 2005 Research Assistant Undergraduate Biology and Mathematics UBM Program Department of Mathematics and Statistics -Arizona State University
Summer 2005 Research Assistant Research Experience for Undergraduate REU Program Department of Mathematics and Statistics -Arizona State University
Spring 2005 Teaching Assistant Department of Mathematics and Statistics -Arizona State University Course: PreCalculus
Fall 2004 Teaching Assistant Department of Mathematics and Statistics -Arizona State University Course: College Mathematics
Summer 2004 Research Assistant Department of Mathematics and Statistics -Arizona State University
Spring 2004 Teaching Assistant Department of Mathematics and Statistics -Arizona State University Course: College Algebra Fall 2003 Teaching Assistant Department of Mathematics and Statistics -Arizona State University Course: College Algebra
Summer 2003 Research Assistant Department of Mathematics and Statistics -Arizona State University
Fall 2002 -Summer 2003 Teaching Assistant Department of Mathematics and Statistics -Arizona State University Course: College Mathematics
Summer 2002 Teaching Assistant Department of Biometrics (MTBI) -Cornell University, New York
Spring 2002 Teaching Assistant Department of Mathematics and Statistics -Arizona State University Tutoring
Fall 2001 Research Assistant Department of Mathematics and Statistics -Arizona State University
1999-2000 Associate Professor Facultad de Ciencias, Universidad Nacional Ingenieria , Lima Peru Courses : Functional Analysis, Partial Differential Equations, Ordinary Differential Equations, Thesis Seminar (undergraduate)
1993-1999 Auxiliar Professor Facultad de Ciencias, Universidad Nacional Ingenieria , Lima Peru Courses : Functional Analysis, Partial Differential Equations, Ordinary Differential Equations, Thesis Seminar (undergraduate)
1989-1999 Auxiliar Professor Facultad de Ciencias Matematicas, Universidad Nacional Mayor de San Marcos , Lima Peru Courses : Real Analysis, Functional Analysis, Finite Element Methods, Computational Mathematics, Partial Differential Equations, Ordinary Differential Equations, Thesis Seminar (undergraduate), Calculus
1996-1997 Instructor Universidad Peruana de Ciencias Aplicadas , Lima Peru Course: Basic Mathematics
1985-1989 Assistant Professor Facultad de Ciencias Matematicas, Universidad Nacional Mayor de San Marcos , Lima Peru Courses : Basic Mathematics, PreCalculus, Calculus, Real Analysis GRANTS RECEIVED
Politécnica de Quito, Ecuador, Expenses Grant. Awarded September 2009.
Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Travel Grant. Awarded September 2009.
Universidade Politecnica Federal do Parana - Pato Branco, Brazil, Expenses Grant. Awarded September 2009.
Universidade Estadual do Maringa - Brazil, Travel Grant. Awarded Sepetember 2009.
Laboratorio Nacional de Computación Científica -LNCC -Brazil, Travel Grant. Awarded August 2009.
Instituto de Alta Investigación -Universidad de Tarapaca -Chile Travel Grant. Awarded October 2008.
Instituto de Matemáticas, Universidad Politécnica de Valencia -Spain Travel Grant. Awarded September 2008.
Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Travel Grant. Awarded July 2008.
Laboratorio Nacional de Computación Científica -LNCC -Brazil, Travel Grant. Awarded August 2007.
Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Travel Grant. Awarded July 2007.
Consejo Nacional de Ciencia y Tecnología (CONCYTEC),Travel Grant. Awarded November 2006.
Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Travel Grant. Awarded November 2006.
Arizona State University Scholarship. 2001-2005.
Graduate College Awards for Tuition (GCAT), Arizona State University Cover 45 percent balance of resident tuition. Awarded January 2004.
Department of Mathematics and Statistics Grant, Arizona State University Travel Grant. Awarded July 2004.
Graduate Student Association Grant, Arizona State University Travel Grant. Awarded July 2003.
Department of Mathematics and Statistics Grant, Arizona State University Travel Grant. Awarded July 2003.
PUBLICATIONS
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López Cruz R. (2010), Las Matemáticas y su relación con el desarrollo de la Tecnología Militar, Revista Tecnociencia, Ejercito del Perú.
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López Cruz R. (2009),Rich Dynamics of a simple SI Model with Two Age, Groups Synergismus scyentifica UTFPR, Pato Branco,Brazil.
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Chowell, G., Torre C.A., López Cruz R., et al (2008), Spatial and Temporal dynamics of dengue fever in Peru, 1994-2006 Epidemiology Infectious, 2008, April 8, 1-11
López Cruz, R., Torres G., Mudassar I. (2007), Regulatory Process of T-Cells in the Thymus PESQUIMAT Vol X No.2
López Cruz, R., Carrillo Díaz, L. (2006), Formulation of an Age Structured Population Model and its Reduction to a model with delay PESQUIMAT Vol X No.1
López Cruz R., Kuang Y., Tridane A. (2007), A simple SI model with two Age groups and its application to USA HIV epidemics: to treat or not to treat? Journal of Biological Systems
López Cruz, R., (2006), Structured SI Epidemic Models with Application to HIV Epidemic Arizona State University (ASU)
López Cruz, R. (2000), Some Results of Finite Element Methods for Elliptic Equations Bulletin of the Sociedad Peruana de Matematica Aplicada y Computacional (SPMAC)
Miljánovich C., Manuel; López Cruz, Roxana; Quesada C., Felix y otros (1998). Análisis de los Resultados de los Procesos de Admisión 1996 – 1998 en relación con variables psicológicas, pedagógicas y sociales, Instituto de Investigaciones Psicológicas de la Facultad de Psicología de la UNMSM.
López Cruz, R. (1997), Algunos preliminares al análisis del error a posteriori de soluciones en elementos finitos para problemas unidimensionales Revista de la Unidad de Postrado, Facultad de Ciencias Matemáticas, UNMSM
López Cruz, R. (1993), Superconvergencia del Gradiente Soluciones en Elementos Finitos Isoparamétricos Universidad Nacional Mayor de San Marcos (UNMSM)
López Cruz, R. (1993), Estimaciones Globales del Error para una Ecuaci´on de Sobolev Universidad Nacional Mayor de San Marcos (UNMSM)
RESEARCH PROJECTS
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Métodos Numéricos para Ecuaciones Diferenciales con Retraso y Aplicaciones a la Biomatemática (2011) Consejo Superior de Investigación UNMSM.
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Ecuaciones Diferenciales con Retraso y Aplicaciones a la Dinamica Poblacional (2010) Consejo Superior de Investigación UNMSM.
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La Influenza A (H1-N1) en el Per´u: Una perspectiva matem´atica. (2009) Joint with Carrillo D´ıaz, L. UNMSM
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Análisis Matemático de Modelos Epidemiológicos para Enfermedades Infecciosas Transmitidas por aire. (2009) Joint with Carrillo Díaz, L. Consejo Superior de Investigación UNMSM.
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Desarrollo de Modelos Matemáticos de naturaleza ecológica en Epidemiología Ambiental (2008) Joint with Carrillo Díaz, L. Consejo Superior de Investigación UNMSM.
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Un Modelo Matemático para monitorear la Propagación de Enfermedades de Transmisión Sexual en el Perú (2007) Joint with Carrillo Díaz, L. Consejo Superior de Investigación UNMSM.
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Population Dynamics Delay Models: Sensitivity, Persistence and Stability (2006) Joint with Kuang Y. and Trofimchuk, S.
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HIV Population Dynamics Models: Juvenil Maturation and Contact Rates Influence (2005) Joint with Kuang Y., Tridane A.
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HIV Population Dynamics Models: Emigration Influences (2005) Joint with Kuang Y., Tridane A.
INVITED TALKS
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Las Matemáticas: Una ciencia de Aventura, May 2011. Presented at II Simposio de Ciencias Básicas y sus Aplicaciones, Universidad Peruana La Unión.
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Modelo Matemático con Retardo del VIH Epidémico, February 2011 Presented at the Jornada de verano 2011 , Colegio de Matemáticos del Perú Congreso de la República del Perú
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Comportamiento Caótico en Modelos de la Ecología Matemática, November 2010 Presented at the 160 Aniversario de la Facultad de Ciencias Matemáticas, UNMSM, Lima, Perú
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Matemáticas y Bioterrorismo: Un reto para las Ciencias en el presente siglo, October 2010 Presented at the Seminario Arquímides EAP Matemáticas, UNT, Trujillo, Perú
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Ecuaciones Funcionales en Dinámica Poblacional, August 2010 Presented at the V Congreso Internacional de Matem´atica Aplicada y Computacional (V CIMAC) SPMAC, UNSAAC, Cusco, Per´u
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La Enseñanza de la Matemática y el Modelamiento Matemático, June 2010 Presented at the I Simposio de Ciencias Básicas y sus Aplicaciones, Universidad Peruana a Union, ˜ Na˜na, Perú
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Retos y Proyectos de la EAP de Computación Científica, May 2010 Presented at the Semana de Aniversario de la EAP de Computaci´on Cienti´ıfica, UNMSM, Lima, Perú.
- Congreso en Conmemoración del 53 Aniversario de su Fundación (1957 - 2010) March 2010 Presented at the Sociedad Matemática Peruana, Perú
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VI International Seminar on Biomathematics, January 2010 Presented at the Universidad Nacional Mayor de San Marcos, Per´u
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II Encontro Interactivo de Matematica Aplicada - October 2009 Videoconferencias M´exico - Brazil - Per´u Presented at Universidad Nacional Mayor de San Marcos, Per´u
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XII Taller de Investigación - Facultad de Ciencias Matem´aticas, October 2009 Presented at the Universidad Nacional Mayor de San Marcos, Per´u
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VI ITLA, September 2009 Presented at the Politecnica de Quito, Ecuador
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Jornadas Academico Culturales, September 2009 Presented at the Facultad de Ingenieria de Sistemas, UNMSM, Perú
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XIII Encontro Regional do Matematica Aplicada e Industrial, September 2009 Presented at the Universidade Politecnica Federal do Paraná, Pato Branco, Brasil
- Seminar on Mathematics, September 2009 Presented at the Universidad Estadual do Maringa, Maringa, Brasil
- VII Workshop on Partial Differential Equations, August 2009 Presented at the Laboratorio Nacional de Ciencias da Computacao, Rio de Janeiro, Brasil
- Congreso en Conmemoración del 52 Aniversario de su Fundación (1957 -2009) March 2009 Presented at the Sociedad Matemática Peruana, Perú,
- III Seminario Internacional de Matematica Aplicada, March 2009 Presented at the Universidad Particular Ricardo Palma, Perú
- V International Seminar on Biomathematics, January 2009 Presented at the Universidad Nacional de Trujillo, Per´u
- Semana de la Facultad de Ciencias Matemáticas, November 2008 Presented at the Universidad Nacional Mayor de San Marcos, Per´u
- Taller de Arqueología -Matemática, October 2008 Presented at the Universidad de Tarapaca, Chile
- Primer Seminario de Conferencias Nacionales e Internacionales, July 2008 Presented at the Universidad Nacional de Huamanga, Ayacucho, Perú
- V Workshop on Partial Differential Equations, August 2007 Presented at the Laboratorio Nacional de Ciencias da Computacao, Rio de Janeiro, Brasil
- IV International Seminar on Biomathematics, August 2007 Presented at the Universidad Nacional Pedro Ruiz Gallo, Lambayeque, Per´u
- Congress on Mathematical Population Dynamics, July 2007 Presented at the Universidade de Campinas, Campinas, Brasil
- IV Congreso Internacional de Ingenier´ıa de Sistemas, June 2007 Presented at the Universidad Cesar Vallejo, Trujillo, Per´u
- Taller: Recursos Bibliogr´aficos en UNMSM, November 2006 Presented at the Aniversario de la Facultad de Ciencias Matem´aticas, Universidad Nacional
Mayor de San Marcos, Lima, Perú
- Dinámica Parásito-Huesped: Algunos Modelos Matem´aticos , November 2006 Presented at the II Simposio de Ciencias e Ingeniería, Universidad Peruana a Unión, Naña, Perú
- Curso Taller de Matem´atica Epidemiol´ogica, August-September 2006 Presented at the III Seminario Internacional de Biomatemática, Universidad Nacional Mayor de
San Marcos, Lima, Perú
- La Escuela de Matem´atica Pura en la Facultad de Ciencias Matem´aticas, August 2006 Presented at the Herramientas Cient´ıficas para la Gesti´on de Instituciones Educativas, Universidad Nacional Mayor de San Marcos, Lima, Per´u
- Din´amica del Proceso Inmunol´ogico: Linfocitos T vs C´elulas Infectadas, August 2006 Presented at the III Seminario Internacional de Aplicaciones de las Matem´aticas, UniversidadRicardo Palma, Lima, Perú
- Charla sobre Biomatem´atica, July 2006 Presented at the Conversatorio: Matemática Aplicada y Curriculum, Departamento Académico de Matemática , Universidad Nacional Federico Villarreal, Lima, Perú
- Curso: Modelos Matemáticos de la Biología, June, July 2006 Presented at the Facultad de Ciencias Matemáticas (June 20-July 25) , UNMSM, Lima, Perú
- Curso: Modelos Matemáticos de la Medicina, June, July 2006 Presented at the Facultad de Ciencias Matemáticas (June 20-July 25), UNMSM, Lima, Perú
- Modelamiento Matemático: Propagación de Enfermedades Infecciosas, April 2006 Presented at the Semana de Aniversario de la EAP de Computación Científica 2006, UNMSM, Lima, Perú
- Structured SI epidemic models with applications to HIV epidemic, February 2006 Presented at the ASU Math Biology Workshop 2006, Arizona, USA
- Las Matemáticas: Un nuevo alcance en las Ciencias Biomédicas, June 2005 Video conference presented at the III Semana de Ciencia y Tecnolog´ıa ,Ciudad de Chota, Peru
- Trade-offs and the evolution of virulence of microparasites: do details matter?, January 2005 Presented at the Math Biology Seminar in BioMathematics , ASU, Math Department, Arizona, USA
- Regulatory Process of T-Cells in the Thymus, August 2004 Presented at the First Seminar in BioMathematics (II SEMBIOMAT), UNMSM, Lima, Peru
- Comparison of some Mathematical model of the Interaction Glucose-Insuline, August 2004 Presented at the First Seminar in BioMathematics (II SEMBIOMAT), UNMSM, Lima, Peru
- Th1 or Th2:How an Appropriate T Helper Re-July 2004 sponse can be Made Stability Analysis and Bifurcations Simulations using MATLAB Presented at the UBM Summer Program 2004 , ASU, Math Department, Arizona, USA
- Introduction to BioMathematics, August 2003 Presented at the First Seminar in BioMathematics (I SEMBIOMAT), UNMSM, Lima, Perú
- Delay Differential Equations: An Introduction and Laboratory, August 2003 Presented at the First Seminar in BioMathematics (I SEMBIOMAT), UNMSM, Lima, Peru
GENERAL CHAIR
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Primer Congreso Nacional del Colegio de Matem´aticos del Perú, November 18-20, 2010; Congreso de la Rep´ublica del Perú
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Fifth International Congress on Applied and Computational Mathematics (V CIMAC), August 02-06, 2010; SPMAC-UNSAAC, Cusco, Perú
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Sixth International Seminar of Biomathematics (VI SEMBIOMAT), January 04-08, 2010; SPMAC-UNMSM, Lima, Perú
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Fifth International Seminar of Biomathematics (V SEMBIOMAT), January 08-10, 2009; SPMAC-UNT, Trujillo, Perú
- Fourth International Congress on Applied and Computational Mathematics (IV CIMAC), September 15-19; SPMAC-UNPRG, Lambayeque, Perú
- Second World Congress on Applied Mathematics (II WCAM), March 10-14, 2008, Facultad de Ciencias Matematicas, UNMSM, Lima, Perú
- Fourth International Seminar of Biomathematics (IV SEMBIOMAT), August 16-18, 2008; SPMAC-UNPRG, Lambayeque, Perú
- Semana de Aniversario de la EAP de Computación Científica: En Homenaje al Dr. Manuel Sadosky, March 19-23, 2007, Facultad de Ciencias Matemáticas, UNMSM, Lima, Perú
- Ciclo Internacional de Conferencias Verano 2007, January to March, 2007, Facultad de Ciencias Matemáticas, UNMSM, Lima, Perú
- First World Congress on Applied Mathematics (I WCAM), January 11-13, 2007 , SPMAC-UNMSM, Lima, Perú
- Third International Seminar of Biomathematics (III SEMBIOMAT ), August 2,31; September 1, 2006 , SPMAC-UNMSM, Lima, Perú
- Ciclo Internacional de Conferencias Verano 2006, January 6,12 and 13, 2006, Facultad de Ciencias Matem´aticas, UNMSM, Lima, Perú
- Second International Seminar of Biomathematics (II SEMBIOMAT), August 11-13, 2004 , SPMAC-UNMSM, Lima, Perú
- First Seminar of Biomathematics (I SEMBIOMAT), August 11-13, 2003 , SPMAC-UNMSM, Lima, Perú
CURRENT RESEARCH INTERESTS
- BioMathematics: Epidemiology and HIV Models(Ordunary, Delay and Partial Differential Models)
- BioMathematics: Immunology and Cancer Models
PROFESSIONAL MEMBERSHIPS
- Society for Industrial and Applied Mathematics (SIAM)
- American Mathematical Society (AMS)
- Mathematical American Association (MAA)
- The Society for Mathematical Biology (SMB)
- Association for Women in Mathematics (AWM)
- Sociedad Peruana de Matematica Aplicada y Computacional (SPMAC)
- Sociedad de Matematica Peruana (SMP)
- Third World Organization for Women in Science (TWOWS)
ATTENDED CONFERENCES
- IMA Blackwell-Tapia Conference and Prize Presentation, University of Minnessota, Minessotta, MN. Nov 3-4, 2006.
- San Antonio Joint Mathematics Meetings. , San Antonio, TX. January 12 -15 2006.
- IMA Career Workshop on Minorities and Applied Mathematics. Institute for Mathematics and Its Applications. University of Minnesota, Minneapolis, MN. April 22 -24 2005.
- IPAM Blackwell-Tapia Conference and Prize Presentation, University of California, Los Angeles, LA. Nov 5-6, 2004.
- Arizona Days 2004, , Los Alamos National Laboratory, Los Alamos, New Mexico Jan 2004.
- Rocky Mountains Summer Conference, University of Wyoming, July 2003
- SIAM Annual Meeting , Pennsylvania, Jul 2002
- Tutorial: Dynamic Models of Epidemiological Problems DIMACS Center -Rutgers University, New Jersey, June 2002 Related to: Special Focus on Computational and Mathematical Epidemiology
- International Conference on Computational and Mathematical Epidemiology DIMACS Center -Rutgers University, New Jersey, July 2002 Related to: Special Focus on Computational and Mathematical Epidemiology
- Special Functions and Orthogonal Polynomials, Further Directions. NATO
Advanced Study Institute. Tempe, Arizona July 2000
INSTITUTIONAL SERVICE
- Director, School of Computing Science,
Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Dec 2006 - 2007
- Director, School of Mathematics,
Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Dec 2007 - 2008
- Chair, Department of Mathematics,
Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, 1997-2000
- Academic Secretary, PostGraduate Unit,
Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, 1995-1997
ASSOCIATION SERVICES
- President (in charge), Sociedad Peruana de Matemática Apicada y Computacional (SPMAC), 2008-2010
- Treasure Secretary, Academia Nacional de Ciencia y Tecnología del Perú (ANCYT), 2007-2010
- Treasure Secretary, Sociedad Peruana de Matemática Aplicada y Computacional (SPMAC), 2000-present
- Secretary, Sociedad de Matemática Peruana (SMP), 1997-1999
HONORS AND AWARDS
- Reconocimiento como Graduado Distinguido de la Escuela de Posgrado de la Universidad Nacional Mayor de San Marcos, 2011
- Premio al Mérito Científico, Vicerrectorado de Investigación, Universidad Nacional Mayor de San Marcos, 2011
- Mención Honrosa (XIII Encontro Regional de Matematica Aplicada e Computacional), 2009
- Associate Academic Member (Academia Nacional de Ciencia y Tecnolog´ıa (ANCYT), Perú), 2006
- IBC Leading Educators of the World (International Biographical Centre, Cambridge, England), 2005
- Who’s Who in the World (Marquis, Willmett, Illinois), 2003
- Kovaleskia Prize, Lima Peru, Special Mention Outstanding Master Thesis. Awarded March 1994.
BIOGRAPHICAL ENTRIES
- IBC Leading Educators of the World (International Biographical Centre, Cambridge, England), 2011
- Who’s Who in the World (Marquis, Willmett, Illinois) Special Edition 2003
EDUCATIONAL TRAVEL
- USA Summer 2002, Graduate Assistant. Department of Biometrics, Cornell University, New York
- Brasil 1991-1993, Graduate Studies Instituto de Matematica Pura e Aplicada, Rio de Janeiro
- Italy Jan 1978, Winter Conference UNESCO, Trieste
- Italy Jan-Feb 1988, Winter Workshop in Complex Analysis and Differential Equations, UNESCO, Trieste
RESEARCH TRAVEL
Chile February 18-24, 2006, Research Assistant Some Aspects of the Qualitative Theory of Functional Differential Equations NSF INT-0203702. NSF-Chilean Joint Project. Universidad de Talca.
LANGUAGES
- Spanish
- English
- Portuguese
COMPUTER SKILLS
- Mathematical Softwares: Matlab, Maple, Mathematica, XPP-Auto
- Softwares: Latex, Beamer, Prosper, Word, Power Point, Excel
- Scientific Information: Scinet, E-brary, Proquest, PubMed, ISI Current, Hinari, EOLSS, JSTOR
REFERENCES
Letters of Reference File is available upon request from:
- Facultad de Ciencias Matematicas Universidad Nacional Mayor de San Marcos UNMSM Av. Venezuela s/n Lima, PERU
- Department of Mathematics and Statistics, Arizona State University ASU
P.O. Box 85287-1804, USA
The following persons have written letters of recommendation on my behalf:
- Yang Kuang, Ph.D. Department of Mathematics and Statistics Arizona State University, Tempe, AZ 85281(480)965-6915
- Hal Smith, Ph.D., Department of Mathematics and Statistics Arizona State University, Tempe, AZ 85281 (480)965-3743
- Dr. Alejandro Ortiz, Professor Faculty of Sciences - Pontificia Universidad Catolica del Peru (PUCP), Lima, Perú
- Oscar Valverde, Ph.D., National Council of Science and Technology (CONCYTEC), Lima, Peru
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