Juan Rada

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Curriculum Vitae

Updated: February, 2012

PERSONAL

Name: Juan Pablo Rada Rincón.
Date of birth: October 18, 1959.
Office address: Departamento de Matemáticas. Universidad Simón Bolívar. Caracas 1080-A, Venezuela.
e-mail: juanrada@usb.ve
Webpage: https://sites.google.com/site/juanpabloradarincon/

DEGREES

  1. Bachelor in  Mathematics (Universidad de Los Andes, 1983). Thesis: "On finite groups", supervised by Dr. Raj Markanda.
  2. Master in Mathematics (Universidad de Los Andes, 1989). Thesis: "Boundary problems and Fourier series", supervised by Dr. Antonio Tineo.
  3. Licenciado en Ciencias Matemáticas (Ministerio de Educación y Ciencias, España, 1992).
  4. PhD in Mathematics (Universidad de Murcia, 1996). Thesis: "Covers, envelopes and open problems on the inmersion of modules in free modules", supervised by Dr. Manuel Saorín.

EXPERIENCE

  1. Professor at the Universidad de Los Andes (ULA), Mérida-Venezuela.
    1. Instructor 1983-1987.
    2. Assistant 1987-1989.
    3. Aggregate 1989-1995.
    4. Associate 1995-1998.
    5. Full Professor 1998-2008.
  2. Full Professor at the Universidad Simón Bolívar (USB), Caracas-Venezuela, since 2008.

UNDERGRADUATE COURSES TAUGHT

  1. Mathematics Department, Universidad de Los Andes: Calculus, Linear Algebra, Algebra, Geometry.
  2. Mathematics Department, University of Kentucky, USA: Calculus, 2001.
  3. Mathematics Department, University of Iowa, USA: Calculus, 1990-1991.
  4. Mathematics Department, Universidad Simón Bolívar: Calculus, Linear Algebra, Algebra, Group Theory.

POSTGRADUATE COURSES TAUGHT

  1. Master and PhD program in Mathematics, Universidad de Los Andes: Linear Algebra, Algebra, Matrix Theory, Algebraic Graph Theory, Commutative Algebra, Ring and Module Theory, Homological Algebra.
  2. Master in Computation, Universidad de Los Andes: Discrete Mathematics.
  3. Master and PhD program in Mathematics, Universidad Simón Bolívar: Homological Algebra, Category Theory, Spectral Graph Theory, Ring and Module Theory, Spectral Digraph Theory.
SUPERVISED THESES
  1. Extreme values of the Randic index, Yettys Varela, Bachelor's thesis, Universidad de Los Andes. 2003.
  2. Local conditions on a module for linearity of a homogeneous function, Wilmer Pereira, Bachelor's thesis, Universidad de Los Andes. 2005.
  3. Graphs with maximum energy, Derwis Rivas, Master's thesis, Universidad de Los Andes. 2006.
  4. Energy of digraphs, Ismael Peña, Master's thesis, Universidad de Los Andes. 2006.
  5. Construction of equienergetic digraphs, Williams López, Master's thesis, Universidad de Los Andes. 2006.
  6. Star-like trees, Franklin Camacho, Master's thesis, Universidad de Oriente. 2006.
  7. Nonderogatory digraphs, Diego Bravo, Master's thesis, Universidad de Los Andes. 2006.
  8. Projective envelopes of finitely generated modules, Rafael Parra, Master's thesis, Universidad de Los Andes. 2008.
  9. Upper bounds for the energy of digraphs, Elías Gudiño, Master's thesis, Universidad Simón Bolívar. 2009.
  10. Quasi-preenvelopes of rings, Carlos Parra, Master's thesis, Universidad de Los Andes. 2009.
  11. Cotorsion pairs and the finitistic dimension conjecture, Marco Pérez, Master's thesis, Universidad Simón Bolívar. 2009.
  12. Cotorsion pairs and adjoint functors, Diego Bravo, PhD thesis, Universidad de Los Andes, 2010.
  13. Pre-envelopes of commutative rings, Rafael Parra, PhD thesis, Universidad de Los Andes, 2011.

PUBLISHED PAPERS

  1. J. Rada and M. Saorín, On semiregular rings whose finitely generated modules embeds in free modules, Canadian Mathematical Bulletin Vol. 40 (2), (1997) 221-230.
  2. J. Rada and M. Saorín, Rings characterized by pre-envelopes and pre-covers of modules, Communications in Algebra 26 (3), 899-912 (1998).
  3. J. Rada and M. Saorín, On two open problems about embedding of modules in free modules, Communications in Algebra 27 (1), 105-118 (1999).
  4. J. Rada, M. Saorín and A. del Valle, Reflective Subcategories, Glasgow Mathematical Journal 42 (2000), 97-113.
  5. I. Gutman, J. Rada and O. Araujo, The Wiener index of starlike trees and a related partial order, MATCH (42) 145-154 (2000).
  6. O. Araujo and J. Rada, Randic index and lexicographic order, Journal of Mathematical Chemistry 27 (3) (2000) 201-212.
  7. I. Gutman, O. Araujo and J. Rada, An identity for Randic's connectivity index and its applications, ACH Models in Chemistry 137 (2000) 653-658.
  8. J. Rada, O. Araujo and I. Gutman, Randic index of benzenoid systems and phenylenes, Croatica Chemica Acta 74 (2001) 225-235.
  9. I. Gutman, O. Araujo and J. Rada, Matchings in Starlike Trees, Applied Mathematics Letters 14 (2001) 843-848.
  10. O. Araujo and J. Rada, Vertex and Edge Type Relations of Randic Index for Chemical Trees, Ars Combinatoria Vol. 62, (2002) 65-78.
  11. J. Rada and O. Araujo, Higher order connectivity index of starlike trees, Discrete Applied Mathematics Vol. 119 (3) (2002) 287-295.
  12. J. Rada, Bounds for the Randic Index of Catacondensed Systems, Utilitas Mathematica 62 (2002) 155-162.
  13. J. Rada, Characteristic polynomial of catacondensed systems, Linear Algebra and its Applications, 367 (C) (2003) 243-253.
  14. J. Rada and C. Uzcátegui, Randic Structure of a Graph, Discrete Applied Mathematics, 128 (2-3) (2003) 447-463.
  15. J. Rada and O. Araujo, A recursive formula for the Randic index of a tree, MATCH (49) (2003) 15-21.
  16. J. Rada and A. Tineo, Polygonal chains with minimal energy. Linear Algebra and its Applications, 372 (2003) 333-344.
  17. J. Rada and A. Tineo, Upper and lower bounds for the energy of bipartite graphs. Journal of Mathematical Analysis and Applications 289 (2) (2004) 446-455.
  18. J. Rada, Second Order Randic Index of Benzenoid Systems. Ars Combinatoria, 72, (2004) 77-88.
  19. J. Rada, Hexagonal systems with extremal connectivity index. MATCH (52) (2004) 167-182.
  20. J. Rada, Energy ordering of catacondensed hexagonal systems. Discrete Applied Mathematics, 145 (3) (2005) 437-443.
  21. J. Rada, Variation of the Wiener index under tree transformations. Discrete Applied Mathematics, 148 (2) (2005) 135-146.
  22. E. Enochs and J. Rada, Abelian groups which have trivial absolute coGalois group. Czechoslovak Mathematical Journal, 55, No. 2, 433-437, (2005).
  23. O. Araujo, M. Estrada, D. Morales and J. Rada, Higher order matching polynomial of a graph. Int. Journal of Math. & Math. Sciences,2005:10 (2005) 1565-1576.
  24. J. A. de la Peña, L. Mendoza and J. Rada, Comparing momenta and p-electron energy of benzenoid molecules. Discrete Mathematics, 302 (1-3), 77-84, (2005).
  25. J. Rada and C. Uzcátegui, Randic ordering of chemical trees. Discrete Applied Mathematics, 302 (1-3), 232-250 (2005).
  26. J. Rada, Randic decomposition of catacondensed systems. Utilitas Mathematica, 68 (2005), 155-164.
  27. B. Zhou, I. Gutman, J.A. de la Peña, J. Rada and L. Mendoza, On spectral moments and energy of graphs. MATCH 57 No. 1 (2007) 183-191.
  28. J.A. de la Peña and J. Rada, On the multiplicities of eigenvalues of a graph. Acta Mathematica Hungarica, 114 (1-2), 91-101 (2007).
  29. I. Gutman, S. Firoozabadi, J.A. de la Peña and J. Rada, On the energy of regular graphs. MATCH (57) No. 2 (2007). 435-442.
  30. D. Bravo and J. Rada, Coalescence of difans and diwheels. Bulletin of the Malaysian Mathematical Sciences Society (2) 30 (2007), no. 1, 49-56.
  31. W. López and J. Rada, Equienergetic digraphs. Int. Journal of Pure and Applied Mathematics 36 (2007), no. 3, 361-372.
  32. D. Bravo and J. Rada, Non-derogatory unicyclic digraphs. Int. Journal of Math. & Math. Sciences. Volume 2007 (2007), Article ID 46851, 8 pp.
  33. J.A. de la Peña, I. Gutman and J. Rada, Estimating the Estrada Index. Linear Algebra and its Applications 427 (2007), no. 1, 70-76.
  34. J.A. de la Peña, I. Gutman and J. Rada, Retarded regular graphs are regular or semiregular, Linear and Multilinear Algebra Vol. 56, No. 5, 507-509 (2008).
  35. I. Peña and J. Rada, Energy of digraphs, Linear and Multilinear Algebra Vol. 56, No. 5, 565-579 (2008).
  36. J. Rada, Nonderogatory directed windmills. Revista Colombiana de Matemáticas Vol. 42, No. 1, 61-66 (2008).
  37. J. Rada, The McClelland inequality for the energy of digraphs. Linear Algebra and its Applications 430 (2009), 800-804.
  38. F. Camacho and J. Rada, On the characteristic polynomial of starlike trees. Utilitas Mathematica 80 (2009), 245-261.
  39. J. Rada, Lower bounds for the energy of digraphs. Linear Algebra and its Applications 432 (2010), 2174-2180.
  40. E. Gudiño and J. Rada, A lower bound for the spectral radius of a digraph. Linear Algebra and its Applications 433 (2010), 233-240.
  41. R. Parra and J. Rada, Projective envelopes of finitely generated modules. Algebra Colloquium 18 (Spec 1) (2011) 801-806.
  42. C. Parra, R. Parra and J. Rada,  Almost preenvelopes of commutative rings. International Journal of Algebra, Vol. 6 (2012), no. 12, 595 - 603.
  43. R. Cruz, I. Gutman and J. Rada, Convex Hexagonal Systems and Their Topological Indices, MATCH (68) No. 1  (2012). 97-108.
  44. J. Rada, Bounds for the energy of normal digraphs. To appear in Linear and Multilinear Algebra, Vol. 60, No. 3, 323-332 (2012).
  45. D. Bravo, E. Enochs, A. Iacob, O. Jenda and J. Rada, Cotorsion pairs in C(RMod). To appear in Rocky Mountain Journal of Mathematics.
  46. A. Olivieri, J. Rada and A.J. Ríos, Digraphs with few eigenvalues. To appear in Utilitas Mathematica.

PUBLISHED BOOKS

  1. J. Rada, Introducción al Álgebra Lineal. Consejo de Publicaciones de la Universidad de Los Andes, 2011.
  2. J. Rada and A. Ríos. Introducción a la Teoría Espectral de Digrafos. Ediciones IVIC, 2011.

REFEREE FOR THE JOURNALS

  1. Networks;
  2. MATCH - Communications in Mathematical Chemistry;
  3. International Journal of Mathematics and Mathematical Sciences;
  4. Graphs and Combinatorics;
  5. Discrete Applied Mathematics;
  6. Publications de l'Institut Mathematique;
  7. Applied Mathematics Letters;
  8. Linear Algebra and its Applications;
  9. Discrete Mathematics;
  10. Electronic Journal of Linear Algebra;
  11. Computer and Mathematics with Applications;
  12. Information Processing Letters;
  13. Mathematical and Computer Modelling;
  14. Journal of Algebraic Combinatorics;
  15. Applicable Analysis and Discrete Mathematics;
  16. Utilitas Mathematica;
  17. Rocky Mountain Journal of Mathematics.

TALKS GIVEN IN CONFERENCES

  1. ''Rings whose modules embed in projectives''. Some trends in Algebra; Praga, Czech Republic, 1995.
  2. ''Inmersion of cyclic and f.g. modules in free modules''. Primeras Jornadas Españolas en Teoría de Anillos; Murcia, Spain, 1996.
  3. ''Open problems on the inmersion of f.g. modules in free modules''. X Jornadas de Matemáticas Venezolanas; Caracas, Venezuela, 1997.
  4. ''Rings characterized by envelopes and covers of their modules''. Euroconference in Ring Theory; Murcia, Spain, 1998.
  5. ''Envelopes and covers of modules in arbitrary classes''. XI Jornadas de Matemáticas Venezolanas; Cumaná, Venezuela, 1998.
  6. ''Reflective subcategories''. Some Trends in Algebra; Praga, Czech Republic, 1999.
  7. ''Generalized Randic index sequence''. Workshop in Mathematical Chemistry; Duluth, USA, 2000.
  8. ''Randic index of benzenoid systems and phenylenes''. The Harry Wiener International Memorial Conference on the Role of Topology in Chemistry; Athens, USA, 2001.
  9. ''Multiplicity of the eigenvalues of a graph''. XIX Jornadas de Matemáticas Venezolanas; Cumaná, Venezuela, 2006.
  10. ''A generalization of the energy to digraphs''. Third International Conference on Applied Mathematics, Plovdiv, Bulgaria, 2006.
  11. ''A generalization of the energy to digraphs''. First Joint Meeting of the Canadian and Mexican Mathematical Societies, Guanajuato, 2006.
  12. ''Retarded regular graphs''. XX Jornadas de Matemáticas Venezolanas; Caracas, Venezuela, 2007.
  13. ''Non-derogatory directed windmills''. XXI Jornadas de Matemáticas Venezolanas; Barquisimeto, Venezuela, 2008.
  14. ''The McClelland inequality for the energy of digraphs''. Workshop on Spectral Graph Theory; Río de Janeiro, Brasil, 2008.
  15. ''Projective envelopes of finitely generated modules''. XXII Jornadas de Matemáticas Venezolanas; San Cristóbal, Venezuela, 2009.
  16. ''Lower bounds of the spectral radius of a digraph''. XXIII Jornadas de Matemáticas Venezolanas; Caracas, Venezuela, 2010.

INVITATIONS

  1. Universidad de Murcia, Spain, 1998.
  2. University of Bucharest, Romania, 1998.
  3. Olimpíada Matemática Venezolana, Caracas, 1998.
  4. University of Kentucky, USA, 2001.
  5. Instituto de Matemáticas de la UNAM, México, 2001.
  6. Universidad de Antioquia, Medellín, Colombia, 2004.
  7. Instituto de Matemáticas de la UNAM, México, 2005.
  8. Instituto de Matemáticas de la UNAM, México, 2006.
  9. Latin American and Caribbean School of Mathematics, Merida, Venezuela, 2008.
  10. University of Kentucky, USA, 2010.
  11. Banff International Research Station, Banff, Canada, 2011.
  12. Latin American and Caribbean School of Mathematics, Merida, Venezuela, 2011.
  13. Rafa Fest, Bucaramanga, Colombia, 2011.
  14. Fronteras de la Ciencia, ASOVAC , Maracay, Venezuela, 2011.

ACHIEVEMENTS

  1. Scholarship, Consejo Nacional para Investigaciones Científicas y Tecnológicas, 1992-1995.
  2. Researcher level I, Consejo Nacional para Investigaciones Científicas y Tecnológicas, 1997.
  3. Researcher level I, Consejo Nacional para Investigaciones Científicas y Tecnológicas, 1999.
  4. Researcher level I, Fundación Venezolana de Promoción del Investigador, 2001.
  5. Member of the editorial board for  "MATCH-Communications in Mathematical and in Computer Chemistry". Yugoslavia (Serbia), since 2003.
  6. Researcher level III, Fundación Venezolana de Promoción del Investigador, 2004.
  7. Reviewer for MATHEMATICAL REVIEWS, USA, since 2007.
  8. Researcher level III, Fundación Venezolana de Promoción del Investigador, 2008.
  9. Top Cited Paper in Discrete Applied Mathematics, 2005-2010.
  10. Top Cited Paper in Linear and Multilinear Algebra, 2011.

FUNDED PROJECTS

  1. Envelopes and covers of modules, Consejo de Desarrollo Científico, Humanístico y Tecnológico, Universidad de Los Andes, 2000.
  2. Molecular branching and the generalized Randic index sequence, Consejo de Desarrollo Científico, Humanístico y Tecnológico, Universidad de Los Andes, 2002.
  3. Energy of hexagonal systems, Consejo de Desarrollo Científico, Humanístico y Tecnológico, Universidad de Los Andes, 2004.
  4. Total π-electron energy of hexagonal systems, Consejo de Desarrollo Científico, Humanístico y Tecnológico, Universidad de Los Andes, 2005.
  5. Local conditions in a module for the lineality of a homogeneous function. Consejo de Desarrollo Científico, Humanístico y Tecnológico, Universidad de Los Andes, 2005.
  6. Ordering in the energy  of hexagonal systems. Consejo de Desarrollo Científico, Humanístico y Tecnológico, Universidad de Los Andes, 2007.
  7. Bounds for the energy of graphs. Consejo de Desarrollo Científico, Humanístico y Tecnológico, Universidad de Los Andes, 2007.
  8. Construction of equienergetic digraphs. Consejo de Desarrollo Científico, Humanístico y Tecnológico, Universidad de Los Andes, 2009.
  9. Multiplicities of the eigenvalues of a graph. Consejo de Desarrollo Científico, Humanístico y Tecnológico, Universidad de Los Andes, 2009.
  10. Development program for highly talented graduate students, Fondo Nacional de Ciencia, Tecnología e Investigación, 2006-2011.

OTHER ACADEMIC ACTIVITIES

  1. Coordinator of the XV Iberoamerican Mathematics Olympics (IMO) 2000.
  2. Director of Graduate Studies in Mathematics, ULA 2002-2004.
  3. Member of the National Evaluation Research Committee in Sciences for the Fundación Venezolana de Promoción del Investigador, 2004-2005.
  4. Coordinator of the Scientific Committee of the XXII Jornadas Venezolanas Matemáticas, San Cristóbal, 2009.
  5. Coordinator of the Scientific Committee and Organizing Committee of the XXIII Jornadas Venezolanas Matemáticas, Caracas, 2010.