Curriculum Vitae

Updated: December, 2017

PERSONAL

Name: Juan Pablo Rada Rincón.
Date of birth: October 18, 1959.
Office address: Instituto de Matemáticas, Universidad de Antioquia. Medellín, Colombia.
e-mail: pablo.rada@udea.edu.co

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. 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, 1983-2008.
  2. Visiting Professor at the University of Kentucky (UK), Lexington-USA, 2001.
  3. Professor at the Universidad Simón Bolívar (USB), Caracas-Venezuela, 2008-2012.
  4. Professor at the Universidad de Antioquia (UdeA), Medellín-Colombia, since 2012.

RESEARCH INTERESTS

  1. Spectral Graph Theory.
  2. Chemichal Graph Theory.
  3. Matrix Analysis.
  4. Algebra.

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.
  14. Vertex-degree-based topological indices over hexagonal systems, Yuliana Hincapié, Bachelor's thesis, Universidad de Antioquia, 2013.
  15. Ordering catacondensed hexagonal systems with respect to energy, Melissa Rodas, Bachelor's thesis, Universidad de Antioquia, 2013.
  16. Vertex-degree-based topological indices over hexagonal systems with fixed number of vertices, Lilia Berrocal, Master's thesis, Universidad Simón Bolívar, 2014.
  17. Topological indices over starlike trees, Clara Betancur, Master's thesis, Universidad de Antioquia, 2014.
  18. Extremal values of VDB topological indices over graphs, Tatiana Pérez, Master's thesis, Universidad de Antioquia, 2014.
  19. Bounds for the trace norm of (0,1)-matrices and digraphs, Natalia Agudelo, PhD thesis, Universidad de Antioquia, 2017.
  20. Extremal values of energy and trace norm of digraphs, Juan Daniel Monsalve, PhD thesis, Universidad de Antioquia, 2017.

PUBLICATIONS

  1. J. Rada, M. Saorín, On semiregular rings whose finitely generated modules embeds in free modules, Canad. Math. Bull. 40 (2) (1997) 221-230.
  2. J. Rada, M. Saorín, Rings characterized by pre-envelopes and pre-covers of modules, Comm. Algebra 26 (3) (1998) 899-912.
  3. J. Rada, M. Saorín, On two open problems about embedding of modules in free modules, Comm. Algebra 27 (1) (1999) 105-118.
  4. J. Rada, M. Saorín, A. del Valle, Reflective Subcategories, Glasg. Math. J. 42 (2000) 97-113.
  5. I. Gutman, J. Rada, O. Araujo, The Wiener index of starlike trees and a related partial order, MATCH Commun. Math. Comput. Chem. 42 (2000) 145-154.
  6. O. Araujo, J. Rada, Randic index and lexicographic order, J. Math. Chem. 27 (3) (2000) 201-212.
  7. I. Gutman, O. Araujo, J. Rada, An identity for Randic's connectivity index and its applications, ACH-Models Chem. 137 (2000) 653-658.
  8. J. Rada, O. Araujo, I. Gutman, Randic index of benzenoid systems and phenylenes, Croat. Chem. Acta 74 (2001) 225-235.
  9. I. Gutman, O. Araujo, J. Rada, Matchings in Starlike Trees, Appl. Math. Lett. 14 (2001) 843-848.
  10. O. Araujo, J. Rada, Vertex and Edge Type Relations of Randic Index for Chemical Trees, Ars Combin. 62 (2002) 65-78.
  11. J. Rada, O. Araujo, Higher order connectivity index of starlike trees, Discrete Appl. Math. 119 (3) (2002) 287-295.
  12. J. Rada, Bounds for the Randic Index of Catacondensed Systems, Util. Math. 62 (2002) 155-162.
  13. J. Rada, Characteristic polynomial of catacondensed systems, Linear Algebra Appl. 367 (C) (2003) 243-253.
  14. J. Rada, C. Uzcátegui, Randic Structure of a Graph, Discrete Appl. Math. 128 (2-3) (2003) 447-463.
  15. J. Rada, O. Araujo, A recursive formula for the Randic index of a tree, MATCH Commun. Math. Comput. Chem. 49 (2003) 15-21.
  16. J. Rada, A. Tineo, Polygonal chains with minimal energy. Linear Algebra Appl. 372 (2003) 333-344.
  17. J. Rada, A. Tineo, Upper and lower bounds for the energy of bipartite graphs. J. Math. Anal. Appl. 289 (2) (2004) 446-455.
  18. J. Rada, Second Order Randic Index of Benzenoid Systems. Ars Combin. 72 (2004) 77-88.
  19. J. Rada, Hexagonal systems with extremal connectivity index. MATCH Commun. Math. Comput. Chem. 52 (2004) 167-182.
  20. J. Rada, Energy ordering of catacondensed hexagonal systems. Discrete Appl. Math. 145 (3) (2005) 437-443.
  21. J. Rada, Variation of the Wiener index under tree transformations. Discrete Appl. Math. 148 (2) (2005) 135-146.
  22. E. Enochs, J. Rada, Abelian groups which have trivial absolute coGalois group. Czechoslovak Math. J. 55 (2) (2005) 433-437.
  23. O. Araujo, M. Estrada, D. Morales, J. Rada, Higher order matching polynomial of a graph. Int. J. Math. Math. Sci. 2005:10 (2005) 1565-1576.
  24. J. A. de la Peña, L. Mendoza, J. Rada, Comparing momenta and p-electron energy of benzenoid molecules. Discrete Math. 302 (1-3) (2005) 77-84.
  25. J. Rada, C. Uzcátegui, Randic ordering of chemical trees. Discrete Appl. Math. 302 (1-3) (2005) 232-250.
  26. J. Rada, Randic decomposition of catacondensed systems. Util. Math. 68 (2005) 155-164.
  27. B. Zhou, I. Gutman, J.A. de la Peña, J. Rada, L. Mendoza, On spectral moments and energy of graphs. MATCH Commun. Math. Comput. Chem. 57 (1) (2007) 183-191.
  28. J.A. de la Peña, J. Rada, On the multiplicities of eigenvalues of a graph. Acta Math. Hungar. 114 (1-2) (2007) 91-101.
  29. I. Gutman, S. Firoozabadi, J.A. de la Peña, J. Rada, On the energy of regular graphs. MATCH Commun. Math. Comput. Chem. 57 (2) (2007) 435-442.
  30. D. Bravo, J. Rada, Coalescence of difans and diwheels. Bull. Malays. Math. Sci. Soc.  30 (1) (2007) 49-56.
  31. W. López, J. Rada, Equienergetic digraphs. Int. J. Pure Appl. Math. 36 (3) (2007) 361-372.
  32. D. Bravo, J. Rada, Non-derogatory unicyclic digraphs. Int. J. Math. Math. Sci. Volume 2007 (2007), Article ID 46851, 8 pp.
  33. J.A. de la Peña, I. Gutman, J. Rada, Estimating the Estrada Index. Linear Algebra Appl. 427 (1) (2007) 70-76.
  34. J.A. de la Peña, I. Gutman, J. Rada, Retarded regular graphs are regular or semiregular. Linear Multilinear Algebra 56 (5) (2008) 507-509.
  35. I. Peña, J. Rada, Energy of digraphs, Linear Multilinear Algebra 56 (5) (2008) 565-579.
  36. J. Rada, Nonderogatory directed windmills. Rev. Colombiana Mat. 42 (1) (2008) 61-66.
  37. J. Rada, The McClelland inequality for the energy of digraphs. Linear Algebra Appl. 430 (2009) 800-804.
  38. F. Camacho, J. Rada, On the characteristic polynomial of starlike trees. Util. Math. 80 (2009) 245-261.
  39. J. Rada, Lower bounds for the energy of digraphs. Linear Algebra Appl. 432 (2010) 2174-2180.
  40. E. Gudiño, J. Rada, A lower bound for the spectral radius of a digraph. Linear Algebra Appl. 433 (2010) 233-240.
  41. R. Parra, J. Rada, Projective envelopes of finitely generated modules. Algebra Colloq. 18 (Spec 1) (2011) 801-806.
  42. C. Parra, R. Parra, J. Rada,  Almost preenvelopes of commutative rings. Int. J. Algebra 6 (12) (2012) 595-603.
  43. J. Rada, Bounds for the energy of normal digraphs. Linear Multilinear Algebra 60 (3) (2012) 323-332.
  44. D. Bravo, E. Enochs, A. Iacob, O. Jenda, J. Rada, Cotorsion pairs in C(RMod), Rocky Mountain J. Math. 42 (6) (2012) 1787-1802.
  45. R. Cruz, I. Gutman, J. Rada, Convex Hexagonal Systems and Their Topological Indices, MATCH Commun. Math. Comput. Chem. 68 (1)  (2012) 97-108.
  46. J. Rada, R. Cruz, I. Gutman, Vertex-degree-based topological indices of catacondensed hexagonal systems. Chem. Phys. Lett. 572 (2013) 154-157.
  47. S. Pirzada, M. Bhat, I. Gutman, J. Rada, On the energy of digraphs. Bull. IMVI 3 (1) (2013) 69-76.
  48. J. Rada, I. Gutman, R. Cruz,  The energy of directed hexagonal systems. Linear Algebra Appl. 439 (7) (2013) 1825-1833.
  49. R. Cruz, I. Gutman, J. Rada, On benzenoid systems with minimal number of inlets. J. Serb. Chem. Soc. 78 (9) (2013) 1351–1357.
  50. R. Cruz, H. Giraldo, J. Rada, Extremal values of vertex-degree topological indices over hexagonal systems. MATCH Commun. Math. Comput. Chem. 70 (2)  (2013) 501-512.
  51. I. Gutman, R. Cruz, J. Rada, The Wiener index of Eulerian graphs. Discrete Appl. Math. 162 (2014) 247-250. 
  52. R. Cruz, H. Giraldo, J. Rada, An upper bound for the energy of radial digraphs. Linear Algebra Appl. 442 (2014) 75-81.
  53. J. Rada, R. Cruz, I. Gutman, Benzenoid systems with extremal vertex-degree-based topological Indices. MATCH Commun. Math. Comput. Chem. 72 (1) (2014) 125-136.
  54. L. Berrocal, A. Olivieri, J. Rada, Extremal values of VDB topological indices over hexagonal systems with fixed number of vertices. Appl. Math. Comput. 243 (2014) 176-183.
  55. J. Rada, The linear chain as an extremal value of VDB topological indices of polyomino chains. Appl. Math. Sci. 8 (103) (2014) 5133-5143.
  56. J. Rada, R. Cruz, Vertex-degree-based topological indices over graphs. MATCH Commun. Math. Comput. Chem. 72 (3)  (2014) 603-616.
  57. R. Cruz, I. Gutman, J. Rada, Topological indices of Kragujevac trees. Proyecciones 33 (4) (2014) 471-482.
  58. C. Betancur, R. Cruz, J. Rada, Vertex-degree-based topological indices over starlike trees. Discrete Appl. Math. 185 (2015) 18-25.
  59. A. Olivieri, J. Rada, A.J. Ríos, Digraphs with few eigenvalues. Util. Math. 96 (2015), 89-99.
  60. R. Cruz, T. Pérez, J. Rada, Extremal values of vertex-degree-based topological indices over graphs. J. Appl. Math. Comput. 48 (1-2) (2015) 395-406.
  61. C. Marín, J. Monsalve, J. Rada, Maximum and minimum energy trees with two and three branched vertices. MATCH Commun. Math. Comput. Chem. 74 (2) (2015) 285-306.
  62. R. Cruz, J. Rada, Extremal polyomino chains of VDB topological indices. Appl. Math. Sci. 9 (108) (2015) 5371-5388.
  63. J. Rada, Ordering catacondensed hexagonal systems with respect to VDB topological indices. Rev. Mat. Teor. Apl. 23 (1) (2016) 277-289.
  64. N. Agudelo, J. Rada, Lower bounds of Nikiforov´s energy over digraphs. Linear Algebra Appl. 496 (2016) 156-164.
  65. J. Monsalve, J. Rada, Bicyclic digraphs with maximal energy. Appl. Math. Comput. 280 (2016) 124-131.
  66. R. Cruz, J. Rada, Extremal values of VDB topological indices over catacondensed polyomino systems. Appl. Math. Sci. 10 (10) (2016) 487-501.
  67. J. Rada, The zig-zag chain as an extremal value of VDB topological indices of polyomino chains. J. Combin. Math. Combin. Comput. 96 (2016) 103-111.
  68. N. Agudelo, J.A. de la Peña, J. Rada, Extremal values of the trace norm over oriented trees. Linear Algebra Appl.  505 (2016) 261-268.
  69. R. Cruz, F. Duque, J. Rada, Hexagonal systems with minimal number of inlets. MATCH Commun. Math. Comput. Chem. 76 (3) (2016) 707-722.
  70. J. Monsalve, J. Rada, Energy of strongly connected digraphs whose underlying graph is a cycle. Proyecciones 35 (4) (2016) 395-404.
  71. J.A. de la Peña, J. Rada, On the energy of symmetric matrices and Coulson's integral formula, Rev. Colombiana Mat. 50 (2) (2016) 173-186.
  72. J. Rada. Energy of digraphs, MATCH Commun. Math. Comput. Chem. MCM 17. Energy of Graphs-Theory and Applications. Univ. Kragujevac, Kragujevac (2016). 237-276.
  73. J. Rada, Vertex-degree-based topological indices of hexagonal systems with equal number of edges, Appl. Math. Comput. 296 (2017) 270-276.
  74. R. Cruz, C. Marín, J. Rada, Computing the Hosoya index of catacondensed  hexagonal systems, MATCH Commun. Math. Comput. Chem. 77 (3) (2017) 749-764.
  75. D. Bravo, F. Cubría, J. Rada, Energy of matrices, Appl. Math. Comput. 312 (2017) 149-157.
  76. J. Rada, Extremal properties of hexagonal systems, MATCH Commun. Math. Comput. Chem. MCM 20. Bounds in chemical graph theory-Mainstreams, Univ. Kragujevac, Kragujevac (2017) 239-286.
  77. R. Cruz, F. Duque, J. Rada, Extremal values of the number of inlets and number of bay regions over pericondensed hexagonal systems, MATCH Commun. Math. Comput. Chem. 78 (2) (2017) 469-486.
  78. M. Khan, R. Farooq, J. Rada, Complex adjacency matrix and energy of digraphs, Linear Multilinear Algebra 65 (11) (2017) 2170-2186. 
  79. R. Cruz, C. Marín, J. Rada, Extremal values of Merrifield-Simmons index for trees with two branching vertices, Kragujevac J. Math. 42 (1) (2018) 97-106.
  80.  F. Li, Q. Ye, J. Rada, The Augmented Zagreb indices of fluoranthene-type benzenoid systems, to appear in Bull. Malays. Math. Sci. Soc. 

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.

MEMBER OF THE EDITORIAL BOARD FOR

  1. MATCH-Communications in Mathematical and in Computer Chemistry.
  2. Journal of Mathematics.
  3. Kragujevac Journal of Mathematics.
  4. International Journal of Graph Theory and its Applications.

REVIEWER FOR

  1. Mathematical Reviews, USA.

TALKS GIVEN IN CONFERENCES AND SEMINARS

  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". Seminario de Álgebra, Bucarest, Rumania, 1998.
  5. ''Rings characterized by envelopes and covers of their modules''. Euroconference in Ring Theory; Murcia, Spain, 1998.
  6. ''Envelopes and covers of modules in arbitrary classes''. XI Jornadas de Matemáticas Venezolanas; Cumaná, Venezuela, 1998.
  7. "Duplication of the cube". Olimpíadas Matemáticas Venezolanas; San Antonio de los Altos, Venezuela, 1998.
  8. ''Reflective subcategories''. Some Trends in Algebra; Praga, Czech Republic, 1999.
  9. ''Generalized Randic index sequence''. Workshop in Mathematical Chemistry; Duluth, USA, 2000.
  10. ''Randic index of benzenoid systems and phenylenes''. The Harry Wiener International Memorial Conference on the Role of Topology in Chemistry; Athens, USA, 2001.
  11. "Randic index of benzenoid systems + Abelian groups which have trivial absolute cogalois group", Seminario de Representaciones de Álgebras, UNAM, DF, México, 2001.
  12. "Extremal values of the energy and the connectivity index over hexagonal systems". Universidad de Antioquia, Medellín, 2004.
  13. "Energy of hexagonal systems", Seminario de Representaciones de Álgebras, UNAM, DF, México, 2005.
  14. "Generalization of the energy to digraphs", Joint Meeting of the Canadian and Mexican Mathematical Societies, Guanajuato, México, 2006.
  15. "Energy of hexagonal systems", Seminario de Representaciones de Álgebras, UNAM, DF, México, 2006. 
  16. ''Multiplicity of the eigenvalues of a graph''. XIX Jornadas de Matemáticas Venezolanas; Cumaná, Venezuela, 2006.
  17. ''A generalization of the energy to digraphs''. Third International Conference on Applied Mathematics, Plovdiv, Bulgaria, 2006.
  18. ''Retarded regular graphs''. XX Jornadas de Matemáticas Venezolanas; Caracas, Venezuela, 2007.
  19. ''Non-derogatory directed windmills''. XXI Jornadas de Matemáticas Venezolanas; Barquisimeto, Venezuela, 2008.
  20. ''The McClelland inequality for the energy of digraphs''. Workshop on Spectral Graph Theory; Río de Janeiro, Brasil, 2008.
  21. "Envelopes and covers of modules". EMALCA, Mérida, Venezuela, 2008.
  22. ''Projective envelopes of finitely generated modules''. XXII Jornadas de Matemáticas Venezolanas; San Cristóbal, Venezuela, 2009.
  23. ''Lower bounds of the spectral radius of a digraph''. XXIII Jornadas de Matemáticas Venezolanas; Caracas, Venezuela, 2010.
  24. "Bounds for the low energy of digraphs". Banff International Research Station, Banff, Canada, 2011.
  25. "Introduction to the spectral theory of digraphs". EMALCA, Mérida, Venezuela, 2011.
  26. "Topological indices over hexagonal systems".  Rafa Fest, Bucaramanga, Colombia, 2011.
  27. "Interaction between algebra and graph theory". ASOVAC, Universidad Central de Venezuela, Maracay, 2011.
  28. "Energy of directed hexagonal systems". ICAMI 2013, San Andrés, Colombia, 2013.
  29. "Maximum and minimum energy trees with two branched vertices". 2da. Escuela Colombiana de Matemáticas, Medellín, Colombia, 2014.
  30. "Generalization of the energy of graphs to directed graphs". International Conference in Homological Algebra, Lexington, USA, 2015.
  31. "Bounds of Nikiforov's energy for digraphs". Seminario de Álgebra del CIMAT, Guanajuato, México, 2015.
  32. "Bounds of Nikiforov's energy for digraphs". Seminario de Álgebra del IMERL, Montevideo, Uruguay, 2015.
  33. "Introduction to spectral digraph theory". 7 Encuentro Regional de Matemáticas, Medellín, Colombia, 2015.
  34.  "Generalizations of graph energy". 1er Workshop en Algebra, Medellín, Colombia, 2017.
  35. "Generalizations of graph energy". Center of Combinatorics Seminar in University of Nankai, Tianjin, China, 2017.

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.
  15. Centro de Investigación en Matemáticas, A.C. (CIMAT), Guanajuato, México, 2015.
  16. Instituto de Matemáticas y Estadística IMERL, Montevideo, Uruguay, 2015.
  17. Center of Combinatorics at University of Nankai, Tianjin, China, 2017.
Comments