{"id":47,"date":"2018-07-31T02:40:54","date_gmt":"2018-07-31T02:40:54","guid":{"rendered":"http:\/\/blog.valdosta.edu\/javelezmarulanda\/?page_id=47"},"modified":"2024-07-24T00:34:11","modified_gmt":"2024-07-24T00:34:11","slug":"curriculum-vitae","status":"publish","type":"page","link":"https:\/\/blog.valdosta.edu\/javelezmarulanda\/curriculum-vitae\/","title":{"rendered":"Curriculum Vitae"},"content":{"rendered":"<div id=\"body_layer\">\n<div id=\"id3\" class=\"style_SkipStroke_4 shape-with-text\">\n<div class=\"text-content style_External_637_197 vertical-align-middle-middlebox\">\n<div class=\"style_1 vertical-align-middle-innerbox\">\n<h3 class=\"paragraph_style_4\" style=\"text-align: center\"><span style=\"color: #993300\"><strong>Education<\/strong><\/span><\/h3>\n<ul>\n<li class=\"full-width\">\n<p class=\"paragraph_style_6\"><span style=\"color: #993300\">Ph.D in Mathematics<\/span>, University of Iowa, 2010. Thesis title:\u00a0<span class=\"style_2\">\u201cUniversal deformation rings of modules over self-injective algebras\u201d<\/span>. Thesis supervisor: Professor Frauke M. Bleher.<\/p>\n<\/li>\n<li class=\"full-width\">\n<p class=\"paragraph_style_6\"><span style=\"color: #993300\">M.Sc. in Mathematics<\/span>, University of Iowa, 2007.<\/p>\n<\/li>\n<li class=\"full-width\">\n<p class=\"paragraph_style_6\"><span style=\"color: #993300\">M.Sc. in Mathematics<\/span>, University of Puerto Rico at Mayag\u00fcez, 2005.<span class=\"style_2\">\u00a0Thesis title: \u201cSome divisibility properties of polynomials over unique factorization domains\u201d.\u00a0<\/span>Thesis supervisor: Professor Luis F. C\u00e1ceres.<\/p>\n<\/li>\n<li class=\"full-width\">\n<p class=\"paragraph_style_6\"><span style=\"color: #993300\">B.Sc. in Mathematics<\/span>, Universidad Nacional de Colombia, 2002. Thesis title:\u00a0<span class=\"style_2\">\u201cHilbert\u2019s tenth problem\u201d<\/span>\u00a0(in Spanish). Thesis supervisor: Professor Rodrigo de Castro Korg\u00fci.<\/p>\n<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"id5\" class=\"style_SkipStroke_4 shape-with-text\">\n<div class=\"text-content style_External_637_406 vertical-align-middle-middlebox\">\n<div class=\"style_1 vertical-align-middle-innerbox\">\n<h3 class=\"paragraph_style_4\" style=\"text-align: center\"><span style=\"color: #993300\"><strong>Academic and Professional Appointments\u00a0<\/strong><\/span><\/h3>\n<ul>\n<li class=\"full-width\">\n<p class=\"paragraph_style_6\"><span class=\"style_3\"><span style=\"color: #993300\">Fall 2020 &#8211; Present:<\/span><\/span><span class=\"style_3\">\u00a0<\/span><span class=\"style_4\"><strong>Professor (Tenured)<\/strong><\/span>, Department of Mathematics, Valdosta State University.<\/p>\n<\/li>\n<li><span class=\"style_3\"><span style=\"color: #993300\">Fall 2023 &#8211; Present:<\/span><\/span><span class=\"style_3\">\u00a0<\/span><span class=\"style_4\"><strong>Research Faculty<\/strong><\/span>, Mathematics &amp; Engineering, Foundation Universitaria Konrad Lorenz.<\/li>\n<li><span class=\"style_3\"><span style=\"color: #993300\">Fall 2022 :<\/span><\/span><span class=\"style_3\"> <span class=\"style_4\"><strong>Visiting Scholar<\/strong><\/span>, Department of Mathematics, University of Florida, Gainesville, FL.<\/span><\/li>\n<li><span class=\"style_3\"><span style=\"color: #993300\">April 2023 :<\/span><\/span><span class=\"style_3\">\u00a0<\/span><span class=\"style_4\"><strong>SOA Exam SRM Passed<\/strong><\/span>, Society of Actuaries<\/li>\n<li class=\"full-width\">\n<p class=\"paragraph_style_6\"><span class=\"style_3\"><span style=\"color: #993300\">June 2022 :<\/span><\/span><span class=\"style_3\">\u00a0<\/span><span class=\"style_4\"><strong>SOA Exam FM Passed<\/strong><\/span>, Society of Actuaries<\/p>\n<\/li>\n<li class=\"full-width\">\n<p class=\"paragraph_style_6\"><span class=\"style_3\"><span style=\"color: #993300\">November 2021:<\/span><\/span><span class=\"style_3\">\u00a0<\/span><span class=\"style_4\"><strong>SOA Exam P Passed<\/strong><\/span>, Society of Actuaries.<\/p>\n<\/li>\n<li><span class=\"style_3\"><span style=\"color: #993300\">Fall 2020 &#8211; Present:<\/span><\/span><span class=\"style_3\">\u00a0<\/span><span class=\"style_4\"><strong>Fulbright Specialist\u00a0<\/strong><\/span>, World Learning, U. S. Department of State<\/li>\n<li class=\"full-width\">\n<p class=\"paragraph_style_6\"><span class=\"style_3\"><span style=\"color: #993300\">Fall 2015 &#8211; Summer 2020:<\/span><\/span><span class=\"style_3\">\u00a0<\/span><span class=\"style_4\"><strong>Associate Professor (Tenured)<\/strong><\/span>, Department of Mathematics, Valdosta State University.<\/p>\n<\/li>\n<li class=\"full-width\">\n<p class=\"paragraph_style_6\"><span class=\"style_3\"><span style=\"color: #993300\">June 2019:<\/span><\/span><span class=\"style_3\">\u00a0<\/span><span class=\"style_4\"><strong>Visiting Scholar<\/strong><\/span>, Department of Mathematics, Universidad Nacional de Colombia in Bogot\u00e1.<\/p>\n<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"body_layer\">\n<div id=\"id5\" class=\"style_SkipStroke_4 shape-with-text\">\n<div class=\"text-content style_External_637_406 vertical-align-middle-middlebox\">\n<div class=\"style_1 vertical-align-middle-innerbox\">\n<ul>\n<li class=\"full-width\">\n<p class=\"paragraph_style_6\"><span class=\"style_3\"><span style=\"color: #993300\">March 2019:<\/span><\/span><span class=\"style_3\">\u00a0<\/span><span class=\"style_4\"><strong>Visiting Scholar<\/strong><\/span>, Department of Mathematics, Universit\u00e9 de Sherbrooke, Qu\u00e9bec, Canada.<\/p>\n<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"body_layer\">\n<div id=\"id5\" class=\"style_SkipStroke_4 shape-with-text\">\n<div class=\"text-content style_External_637_406 vertical-align-middle-middlebox\">\n<div class=\"style_1 vertical-align-middle-innerbox\">\n<ul>\n<li class=\"full-width\">\n<p class=\"paragraph_style_6\"><span class=\"style_3\"><span style=\"color: #993300\">Summer 2015,2017,2018:<\/span><\/span><span class=\"style_3\">\u00a0<\/span><span class=\"style_4\"><strong>Visiting Scholar<\/strong><\/span>, Instituto de Matem\u00e1ticas, Universidad de Antioquia, Medell\u00edn, Colombia<\/p>\n<\/li>\n<li class=\"full-width\">\n<p class=\"paragraph_style_6\"><span class=\"style_3\"><span style=\"color: #993300\">Summer 2016:\u00a0<\/span><\/span><span style=\"color: #000000\"><span class=\"style_3\"><strong>Visiting Associate Professor<\/strong><\/span><span class=\"style_3\">, Instituto de Matem\u00e1ticas, Universidad de Antioquia, Medell\u00edn, Colombia.<\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"body_layer\">\n<div id=\"id5\" class=\"style_SkipStroke_4 shape-with-text\">\n<div class=\"text-content style_External_637_406 vertical-align-middle-middlebox\">\n<div class=\"style_1 vertical-align-middle-innerbox\">\n<ul>\n<li class=\"full-width\">\n<p class=\"paragraph_style_6\"><span class=\"style_3\" style=\"color: #993300\">November 2015:<\/span>\u00a0<span class=\"style_5\"><strong>Coordinator<\/strong><\/span><span class=\"style_5\"> at the XXXth Iberoamerican Mathematics Olympiad, Mayag\u00fcez, PR.\u00a0<\/span><\/p>\n<\/li>\n<li class=\"full-width\">\n<p class=\"paragraph_style_6\"><span class=\"style_3\" style=\"color: #993300\">Fall 2010 &#8211; Spring 2015:<\/span>\u00a0<span class=\"style_6\"><strong>Assistant Professor<\/strong><\/span><span class=\"style_5\">, Department of Mathematics &amp; Computer Science, Valdosta State University.<\/span><\/p>\n<\/li>\n<li class=\"full-width\">\n<p class=\"paragraph_style_6\"><span class=\"style_3\"><span style=\"color: #993300\">Fall 2010 &#8211; present<\/span><\/span><span class=\"style_3\">:<\/span>\u00a0<span class=\"style_6\"><strong>Undergraduate Mentor<\/strong><\/span><span class=\"style_5\">, National Alliance for Doctoral Studies in the Mathematical Sciences.<\/span><\/p>\n<\/li>\n<li class=\"full-width\">\n<p class=\"paragraph_style_6\"><span class=\"style_7\" style=\"color: #993300\">Fall 2008 &#8211; Summer 2010:<\/span><span class=\"style_5\">\u00a0<\/span><span class=\"style_6\"><strong>Adjunct Faculty<\/strong><\/span><span class=\"style_5\">, Kirkwood Community College, Iowa City Campus.<\/span><\/p>\n<\/li>\n<li class=\"full-width\">\n<p class=\"paragraph_style_6\"><span class=\"style_7\" style=\"color: #993300\">Fall 2005 &#8211; Summer 2010:<\/span><span class=\"style_5\">\u00a0<\/span><span class=\"style_6\"><strong>Teaching Assistant<\/strong><\/span><span class=\"style_5\">, Department of Mathematics, University of Iowa.<\/span><\/p>\n<\/li>\n<li class=\"full-width\">\n<p class=\"paragraph_style_6\"><span class=\"style_7\" style=\"color: #993300\">Fall 2007:<\/span><span class=\"style_5\">\u00a0\u00a0<\/span><span class=\"style_6\"><strong>Research Assistant<\/strong><\/span><span class=\"style_5\">, Department of Mathematics, University of Iowa, supervised by Professor Frauke M. Bleher.<\/span><\/p>\n<\/li>\n<li class=\"full-width\">\n<p class=\"paragraph_style_6\"><span class=\"style_7\" style=\"color: #993300\">Fall 2002 &#8211; Spring 2005:<\/span><span class=\"style_5\">\u00a0<\/span><span class=\"style_6\"><strong>Instructor\/Teaching Assistant<\/strong><\/span><span class=\"style_5\">, Department of Mathematical Sciences, University of Puerto Rico at Mayag\u00fcez.<\/span><\/p>\n<\/li>\n<li class=\"full-width\">\n<p class=\"paragraph_style_6\"><span class=\"style_7\"><span style=\"color: #993300\">Spring 2003 &#8211; Summer 2005:<\/span><\/span><span class=\"style_7\">\u00a0<\/span><span class=\"style_7\"><strong>Staff Member<\/strong><\/span><span class=\"style_7\">,\u00a0<\/span><span class=\"style_6\">Alliance for the Strengthening of Mathematics and Sciences Teaching (AfaMac) &#8211; Institute for the Strengthening of Mathematics Teaching (IFEM)<\/span><span class=\"style_5\">, University of Puerto Rico at Mayag\u00fcez.<\/span><\/p>\n<\/li>\n<li class=\"full-width\">\n<p class=\"paragraph_style_6\"><span class=\"style_7\" style=\"color: #993300\">Summer 2004:<\/span><span class=\"style_5\">\u00a0<\/span><span class=\"style_5\"><strong>Trainee<\/strong><\/span><span class=\"style_5\">,\u00a0<\/span><span class=\"style_6\">Research Experience for Undergraduate Students (REU)<\/span><span class=\"style_5\">, University of Puerto Rico at Mayag\u00fcez, supervised by Professor Luis F. C\u00e1ceres.<\/span><\/p>\n<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"id7\" class=\"style_SkipStroke_4 shape-with-text\">\n<div class=\"text-content style_External_637_158 vertical-align-middle-middlebox\">\n<h3 class=\"paragraph_style_4\" style=\"text-align: center\"><span style=\"color: #993300\"><strong>M.Sc. Students Co-advised at the Universidad de Antioquia<\/strong><\/span><\/h3>\n<ul>\n<li class=\"full-width\">\n<p class=\"paragraph_style_6\"><strong><span class=\"style_6\">Javier Rivera<\/span><\/strong><span class=\"style_5\">. Co-advised with Professor Hern\u00e1n Giraldo. Thesis title:<\/span><span class=\"style_8\">\u00a0<em>\u201cCalculation of Auslander-Reiten Triangles in the Derived Category of Gentle Algebras\u201d<\/em>\u00a0<\/span><span class=\"style_5\">(in Spanish). Graduation date: June 2016.<\/span><\/p>\n<\/li>\n<li class=\"full-width\">\n<p class=\"paragraph_style_6\"><strong><span class=\"style_9\" style=\"font-size: inherit\">Ricardo Rueda Robayo<\/span><\/strong><span class=\"style_10\" style=\"font-size: inherit\">. Co-advised with Professor Hern\u00e1n Giraldo. Thesis title:\u00a0<\/span><span class=\"style_11\" style=\"font-size: inherit\"><em>\u201cThe Happel\u2019s Functor\u201d<\/em>\u00a0<\/span><span class=\"style_10\" style=\"font-size: inherit\">(in Spanish).\u00a0 Graduation date: June 2016.<\/span><\/p>\n<\/li>\n<\/ul>\n<h3 class=\"paragraph_style_7\" style=\"text-align: center\"><span style=\"color: #993300\"><strong>Ph.D. Students Co-advised at the Universidad de Antioquia<\/strong><\/span><\/h3>\n<p style=\"text-align: center\"><strong style=\"color: #339966\">Graduated<\/strong><\/p>\n<ul>\n<li><span class=\"style_6\"><strong>Yohny Calder\u00f3n Henao<\/strong>: Ph.D. March 2020 (<span class=\"style_5\">Supervision June 2016 to December 2020<\/span>)<\/span><span class=\"style_5\"><span class=\"style_5\">. Co-advised with Professor Hern\u00e1n Giraldo. Thesis title: <em>&#8220;I<span style=\"font-size: inherit\">rreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras&#8221; <\/span><\/em><span style=\"font-size: inherit\">(in Spanish) with <\/span><strong><em><span style=\"font-size: inherit\">Magna Cum Laude <\/span><\/em><\/strong><span style=\"font-size: inherit\">distinction<\/span><em><span style=\"font-size: inherit\">.\u00a0<\/span><\/em><\/span><\/span><\/li>\n<li><strong><span class=\"style_9\">Ricardo Rueda Robayo: <\/span><\/strong><span class=\"style_9\">Ph.D. July 2020 (Supervision June 2016 to December 2020).<\/span><span class=\"style_10\">\u00a0Co-advised with Professor Hern\u00e1n Giraldo. Thesis title: <em>\u201cAuslander-Reiten components containing string and band complexes for a certain class of Brauer graph algebras\u201d<\/em> (in Spanish).<\/span><\/li>\n<li><strong>Adriana Fonce Camacho:<\/strong>\u00a0Ph.D. July 2021 (Supervision July 2018 to July 2021). Co-advised with Professor Hern\u00e1n Giraldo and Professor Pedro Hern\u00e1ndez Rizzo. Thesis title: <em>&#8220;Deformations of finite dimensional modules over a repetitive algebra&#8221; <\/em>with<strong><em> Summa Cum Laude <\/em><\/strong>distinction.<\/li>\n<li><strong>Diego L\u00f3pez Garc\u00eda:<\/strong> Ph.D. December 2023 (Supervision July 2021 to December 2023). Co-advised with Professor Pedro Hern\u00e1ndez Rizzo. Thesis title: <em>&#8220;Deformations of finite dimensional modules over a certain class of infinite dimensional algebras&#8221;<\/em>.<\/li>\n<li><strong>Jhony F. Caranguay Mainguez<\/strong> Ph.D. June 2024. (Supervision July 2022 to June 2024) Co-advised with Professor Pedro Hern\u00e1ndez Rizzo. Thesis title: &#8220;<em>Universal deformation rings of modules over generalized Brauer tree algebras&#8221;, <\/em>with<em><strong> Summa Cum Laude<\/strong>\u00a0<\/em>distinction<i>.<\/i><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div id=\"id9\" class=\"style_SkipStroke_4 shape-with-text\">\n<div class=\"text-content style_External_637_160 vertical-align-middle-middlebox\">\n<div class=\"style_1 vertical-align-middle-innerbox\">\n<h3 class=\"paragraph_style_4\" style=\"text-align: center\"><span style=\"color: #993300\"><strong>Work on Progress<\/strong><\/span><\/h3>\n<ul>\n<li><em>&#8220;Applications of triangulated categories in topological data analysis&#8221;<\/em>, with H. Giraldo &amp; P. Rizzo<\/li>\n<li><em>&#8220;A topological data analysis study on the causes of death among the general population and their correlation with the autistic population in the country of Colombia&#8221;<\/em>, with Sebastian Garcia<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"id11\" class=\"style_SkipStroke_4 shape-with-text\">\n<div class=\"text-content style_External_637_410 vertical-align-middle-middlebox\">\n<div class=\"style_14 vertical-align-middle-innerbox\">\n<h3 class=\"paragraph_style_4\" style=\"text-align: center\"><span style=\"color: #993300\"><strong>Selected Accepted and Published Articles<\/strong><\/span><\/h3>\n<ol>\n<li><em>&#8220;A short note on deformations of (strongly) Gorenstein-projective modules over the dual numbers&#8221;<\/em>, with Hector Suarez, accepted for publication in Sao Paolo J. Math. Sci.<\/li>\n<li><em>&#8220;A note on finite dimensional modules over k-algebras&#8221;<\/em>, with P. Rizzo, accepted for publication in Commun. Algebra.<\/li>\n<li><em>&#8220;On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras&#8221;<\/em>, with Yohny Calder\u00f3n-Henao and\u00a0<span class=\"style_5\">Hern\u00e1n Giraldo, Algebr. Represent. Theory , Vol. 26, (2023), 2039-2055, <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s10468-022-10166-x\" target=\"_blank\" rel=\"noopener\">DOI: 10.1007\/s10468-022-10166-x<\/a><\/span><\/li>\n<li><em>&#8220;Singular equivalences of Morita type with level, Gorenstein algebras, and universal deformations rings&#8221;<\/em>, J. Algebra, Vol. 630, (2023), 225-247, <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/abs\/pii\/S0021869323001849?via%3Dihub\">DOI: 10.1016\/j.jalgebra.2023.03.041<\/a><\/li>\n<li><em>&#8220;On a deformation theory of modules over repetitive algebras&#8221;<\/em>, with Adriana Fonce, Hern\u00e1n Giraldo, and Pedro Rizzo,\u00a0<span class=\"style_11\">Algebr. Represent. Theory, <\/span>Vol. 26, (<span data-test=\"article-publication-year\">2023<\/span>), 1-22,\u00a0<a href=\"https:\/\/link.springer.com\/article\/10.1007\/s10468-021-10083-5\">DOI: 10.1007\/s10468-021-10083-5<\/a><\/li>\n<li><em>&#8220;On Auslander-Reiten components of string complexes for a certain class of symmetric special biserial algebras&#8221;<\/em>, with Hern\u00e1n Giraldo and Ricardo Rueda-Robayo, <span class=\"style_10\">Beitr. Algebra Geom.<\/span>, Vol. 63, (<span data-test=\"article-publication-year\">2022<\/span>), 707-722, <a href=\"https:\/\/doi.org\/10.1007\/s13366-021-00607-x\">DOI: 10.1007\/s13366-021-00607-x<\/a><\/li>\n<li><em>&#8220;Derived tame Nakayama algebras&#8221;<\/em>,\u00a0<span class=\"style_5\"> with Viktor Bekkert and Hern\u00e1n Giraldo, Proc. Amer. Math. Soc., Vol. 149 No. 11, (2021), 4555-4567, <a href=\"https:\/\/www.ams.org\/journals\/proc\/0000-000-00\/S0002-9939-2021-15612-8\/\">DOI: https:\/\/doi.org\/10.1090\/proc\/15612<\/a><\/span><\/li>\n<li><em>&#8220;Universal deformation rings of modules over self-injective cluster tilted algebras are trivial&#8221;<\/em>, with Isaias David Marin Gaviria, Algebra Colloq., \u00a0Vol. 28 (2021), 269-280,\u00a0<a href=\"https:\/\/doi.org\/10.1142\/S1005386721000213\"><span style=\"font-size: inherit\">DOI: 10.1142\/S1005386721000213<\/span><\/a><\/li>\n<li><em>&#8220;On deformations of Gorenstein-projective modules over Nakayama and triangular matrix algebras&#8221;<\/em>, <span class=\"style_5\">J. Pure and Appl. Algebra<\/span>, Vol. 225, No. 4,(2021), 106562, <a href=\"https:\/\/doi.org\/10.1016\/j.jpaa.2020.106562\">DOI:\u00a010.1016\/j.jpaa.2020.106562<\/a><\/li>\n<li><span class=\"style_12\"><em>\u201cUniversal deformation rings of finitely generated Gorenstein-projective modules over finite dimensional algebras\u201d<\/em><\/span><span class=\"style_8\">,\u00a0<\/span><span class=\"style_5\">with Viktor Bekkert and Hern\u00e1n Giraldo, J. Pure and Appl. Algebra, Vol. 224, No. 5, (2020), 106223, \u00a0<a href=\"https:\/\/doi.org\/10.1016\/j.jpaa.2019.106223\">DOI: 10.1016\/j.jpaa.2019.106223<\/a><\/span><\/li>\n<li><em>&#8220;A note on deformations of Gorenstein-projective modules over finite dimensional algebras&#8221;, <\/em>Rev. Colombiana Mat., Vol. 53, No. E, (2019), 245-256, <a href=\"https:\/\/doi.org\/10.15446\/recolma.v53nsupl.84097\">DOI: 10.15446\/recolma.v53nsupl.84097<\/a><\/li>\n<li><span class=\"style_12\"><em>\u201cUniversal deformation rings of string modules over a class of self-injective special biserial algebras\u201d<\/em><\/span><span class=\"style_5\">, with Hern\u00e1n Giraldo, Yohny Calder\u00f3n-Henao and Ricardo Rueda-Robayo, \u00a0Commun. Algebra, Vol. 47, No. 12, (2019) 4969-4988,\u00a0<\/span><span class=\"style_5\"><a href=\"https:\/\/doi.org\/10.1080\/00927872.2019.1609010\">DOI:10.1080\/00927872.2019.1609010<\/a><\/span><span class=\"style_5\">.<\/span><\/li>\n<li><span class=\"style_13\"><em>\u201cDeformation of complexes for finite dimensional algebras\u201d<\/em><\/span><span class=\"style_10\">, with Frauke M. Bleher, J. Algebra, Vol. 491, (2017), 90-140, \u00a0<\/span><span class=\"style_10\"><a href=\"https:\/\/doi.org\/10.1016\/j.jalgebra.2017.08.003\">DOI:10.1016\/j.jalgebra.2017.08.003<\/a><\/span><span class=\"style_10\">.<\/span><\/li>\n<li><span class=\"style_13\"><em>\u201cString and band complexes over certain algebra of dihedral type\u201d<\/em><\/span><span class=\"style_11\">,\u00a0<\/span><span class=\"style_10\">with Hern\u00e1n Giraldo,<\/span><span class=\"style_11\">\u00a0Algebr. Represent. Theory<\/span><span class=\"style_10\">,\u00a0<\/span><span class=\"style_11\">Vol. 19, No. 2, (2016), 419-433<\/span><span class=\"style_10\">,\u00a0<\/span><a title=\"http:\/\/link.springer.com\/article\/10.1007\/s10468-015-9581-4\" href=\"http:\/\/link.springer.com\/article\/10.1007\/s10468-015-9581-4\"><span class=\"style_22\">DOI:<\/span><\/a><a title=\"http:\/\/link.springer.com\/article\/10.1007\/s10468-015-9581-4\" href=\"http:\/\/link.springer.com\/article\/10.1007\/s10468-015-9581-4\"><span class=\"style_23\">10.1007\/s10468-015-9581-4<\/span><\/a><span class=\"style_10\">\u00a0.<\/span><\/li>\n<li><span class=\"style_9\"><em>\u201cUniversal deformation rings of modules over a certain symmetric special biserial algebra\u201d<\/em><\/span><span class=\"style_10\">, Beitr. Algebra Geom., Vol. 56, No. 1, (2015), 129-146<\/span><span class=\"style_10\">,\u00a0<\/span><a title=\"http:\/\/link.springer.com\/article\/10.1007\/s13366-014-0201-y\" href=\"http:\/\/link.springer.com\/article\/10.1007\/s13366-014-0201-y\"><span class=\"style_25\">DOI:<\/span><\/a><a title=\"http:\/\/link.springer.com\/article\/10.1007\/s13366-014-0201-y\" href=\"http:\/\/link.springer.com\/article\/10.1007\/s13366-014-0201-y\"><span class=\"style_26\">10.1007\/s13366-014-0201-y<\/span><\/a><\/li>\n<li><span class=\"style_9\"><em>\u201cOn the infinitude of prime elements\u201d<\/em><\/span><span class=\"style_10\">,\u00a0<\/span><span class=\"style_24\">with Luis F. C\u00e1ceres,\u00a0<\/span><span class=\"style_10\">Rev. Colombiana Mat., Vol 47, No. 2, (2013), 167-179.\u00a0<\/span><span class=\"style_24\">Available in\u00a0<\/span><a class=\"style_24\" title=\"http:\/\/www.scm.org.co\/index.php\/publicaciones\/revista\/contenido\" href=\"http:\/\/www.scm.org.co\/index.php\/publicaciones\/revista\/contenido\">http:\/\/www.scm.org.co\/index.php\/publicaciones\/revista\/contenido<\/a><\/li>\n<li><span class=\"style_27\"><em>\u201cUniversal deformation rings of modules over Frobenius algebras\u201d<\/em><\/span><span class=\"style_28\">, with Frauke M. Bleher, J. Algebra, Vol. 367, (2012), 176-202.\u00a0<\/span><span class=\"style_28\"><a title=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0021869312003079\" href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0021869312003079\">DOI<\/a><\/span><a title=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0021869312003079\" href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0021869312003079\"><span class=\"style_29\">:10.1016\/j.jalgebra.2012.06.008<\/span><\/a><span class=\"style_28\">\u00a0.<br \/>\n<\/span><\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"id13\" class=\"style_SkipStroke_4 shape-with-text\">\n<div class=\"text-content style_External_637_1003 vertical-align-middle-middlebox\">\n<div class=\"style_1 vertical-align-middle-innerbox\">\n<h3 class=\"paragraph_style_4\" style=\"text-align: center\"><span style=\"color: #993300\"><strong>Preprints and Submitted Articles<\/strong><\/span><\/h3>\n<ol>\n<li><em>\u201c<span style=\"font-size: revert\">Exact weights and path metrics for triangulated categories and the derived category of persistence modules<\/span>&#8220;<\/em>, with Peter Bubenik, submitted, available in <a href=\"https:\/\/arxiv.org\/abs\/2402.04242\">https:\/\/arxiv.org\/abs\/2402.04242<\/a><\/li>\n<li><em>&#8220;Quasi-duo and weakly duo skew PBW extensions&#8221;<\/em> with Hector Suarez, submitted.<\/li>\n<\/ol>\n<div id=\"id15\" class=\"style_SkipStroke_4 shape-with-text\">\n<div class=\"text-content style_External_637_193 vertical-align-middle-middlebox\">\n<div class=\"style_1 vertical-align-middle-innerbox\">\n<h3 class=\"paragraph_style_4\" style=\"text-align: center\"><span style=\"color: #993300\"><strong>Honors, Awards and Grants<\/strong><\/span><\/h3>\n<ul>\n<li>Fall 2023: <strong>VSU Presidential Excellence Award for Research<\/strong>, Valdosta State University<\/li>\n<li>Fall 2022: <strong>Leave with Pay (sabbatical leave for one semester)<\/strong>, College of Sciences &amp; Mathematics, Valdosta State University<\/li>\n<li>Summer 2021: <strong>NSF CBMS Conference Grant<\/strong>, PI, with Dr. Shaun V. Ault (co-PI), National Science Foundation (USD$ 35,000).<\/li>\n<li>Fall 2021-Spring 2021: <strong>CoSM Faculty Scholarship,<\/strong> College of Sciences &amp; Mathematics, Valdosta State University<\/li>\n<li>Spring 2020: <strong>Nominated by the College of Sciences and Mathematics \u00a0for the VSU Presidential Award in Research, <\/strong><span class=\"style_32\">Office of Academic Affairs, Valdosta State University<\/span><\/li>\n<li>Spring 2019:\u00a0<span class=\"style_6\"><strong>Reassigned Time for Research<\/strong><\/span><span class=\"style_6\">,\u00a0<\/span><span class=\"style_32\">Office of Academic Affairs, Valdosta State University<\/span><\/li>\n<li>Fall 2018-present: <strong>Cluster algebras\u00a0and theory of geometric invariants: Theoretical frame for the innovation in superconductivity and microbiological analysis<\/strong>, with Carlos Alzate, Germ\u00e1n Benitez, Pedro Hernandez Rizzo, and Hern\u00e1n Giraldo, Universidad de Antioquia (COP$100,000,000 or about USD$30,000)<\/li>\n<li><span class=\"style_30\">Summer 2016:<\/span><strong>\u00a0<span class=\"style_4\">VSU Migrant Student Summer Camp Grant<\/span><\/strong>,\u00a0<span class=\"style_31\">with Dean Connie L. Richards and Dr. Susan R. Wehling.<\/span>\u00a0 Georgia Department of Education (USD$25,148).<\/li>\n<li><span class=\"style_30\">Summer 2012, 2015:\u00a0<\/span><span class=\"style_6\"><strong>Faculty Research Seed Grant<\/strong><\/span><span class=\"style_6\">,\u00a0<\/span><span class=\"style_32\">Office of Sponsored Programs &amp; Research Administration, Valdosta State University (USD$5,000 each)<br \/>\n<\/span><\/li>\n<li><span class=\"style_33\">Spring 2014:\u00a0<\/span><span class=\"style_6\"><strong>Nomination for the Faculty Excellence Award in Teaching<\/strong><\/span><span class=\"style_6\">,\u00a0<\/span><span class=\"style_32\">Office of Vice President of Academic Affairs, Valdosta State University<\/span><\/li>\n<li><span class=\"style_33\">Spring 2011-2016, 2019:<\/span><span class=\"style_6\">\u00a0<\/span><span class=\"style_6\"><strong>Reassigned Time for Research<\/strong><\/span><span class=\"style_6\">,\u00a0<\/span><span class=\"style_32\">Office of Academic Affairs, Valdosta State University<\/span><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<h3 class=\"paragraph_style_4\" style=\"text-align: center\"><span style=\"color: #993300\"><strong>Selected List of Invited Talks<\/strong><\/span><\/h3>\n<ul>\n<li><span class=\"style_4\"><strong>XXIInd Colombian Congress of Mathematics<\/strong><\/span>. Talk: \u201cSingular equivalences of Morita type with level, Gorenstein algebras and universal deformation rings\u201d, June 2023, Universidad Pedag\u00f3gica y Tecnol\u00f3gica de Colombia, Tunja, Boyac\u00e1, Colombia.<\/li>\n<\/ul>\n<ul>\n<li><span class=\"style_6\"><strong>Maurice Auslander Distinguished Lectures and International Conference<\/strong><\/span><span class=\"style_8\">. Talk: &#8220;Exact weights for triangulated categories&#8221;, April 2023, Woods Hole, MA<\/span><\/li>\n<li><strong>Departmental Colloquium<\/strong>. Talk: &#8220;An approach to repetitive algebras and their applications&#8221;, December 2022, University of Iowa, Iowa, IA<\/li>\n<li><strong>TDA Seminar<\/strong>. Talk: &#8220;Persistence theory and derived categories&#8221;, November 2022, University of Florida, Gainesville, FL<\/li>\n<li><strong>Algebra Seminar<\/strong>. Talk: &#8220;Singular equivalences of Morita type with level, Gorenstein algebras, and universal deformations rings&#8221;, November 2022, University of Florida, Gainesville, FL<\/li>\n<li><span class=\"style_6\"><strong>Maurice Auslander Distinguished Lectures and International Conference<\/strong><\/span><span class=\"style_8\">. Talk: &#8220;On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras&#8221;, October 2022, Woods Hole, MA<\/span><\/li>\n<li><strong>2021 Southern Regional Algebra Conference.<\/strong> Talk: &#8220;A deformation theory of finite dimensional modules over repetitive algebras&#8221; (Online), March 2021, Georgia College &amp; State University, Milledgeville, GA<\/li>\n<li><strong>X Escuela Internacional de Matem\u00e1ticas del Caribe.<\/strong> Talk: &#8220;Applications of topological data analysis and representation theory of quivers&#8221; (Online), November 2020, Universidad de Cartagena, Cartagena, Colombia<\/li>\n<li><strong>Homological Methods and Tilting Theory for Finite Dimensional Algebras<\/strong>. Talk: &#8220;Deformations of modules over finite dimensional Jacobian algebras&#8221;, August 2019, University of Iowa, Iowa City, IA<\/li>\n<li><strong>XXIIIrd Latino-American Algebra Colloquium.<\/strong>\u00a0Talk: &#8220;Deformations of modules over finite dimensional Jacobian algebras&#8221;, July 2019, Colegio Nacional, Mexico City, Mexico<\/li>\n<li><strong>May 1st Algebra Workshop.<\/strong> Talk: &#8220;String and band complexes over certain Brauer graph algebras&#8221;, May 2019, Georgia Southern University, Statesboro, GA<\/li>\n<li><span class=\"style_6\"><strong>Maurice Auslander Distinguished Lectures and International Conference<\/strong><\/span><span class=\"style_8\">. Talk: &#8220;Deformations of Gorenstein-projective Modules over Nakayama and Triangular Matrix Algebras &#8220;, April 2019, Woods Hole, MA<\/span><\/li>\n<li><span class=\"style_6\"><strong>2018 Migrant Student Education Day<\/strong><\/span><span class=\"style_8\">. Talk: &#8220;Some guidelines for succeeding in mathematics courses in College &#8220;, October 2018, Valdosta State University, Valdosta, GA<\/span><\/li>\n<li><span class=\"style_6\"><strong>XXIXth Meeting on Representation Theory of Algebras<\/strong><\/span><span class=\"style_6\">.\u00a0<\/span><span class=\"style_5\">Talk: \u201cDerived tame Nakayama algebras\u201d, October 2018, Universit\u00e9 de Sherbrooke, Sherbrooke, Qu\u00e9bec, Canada<\/span><\/li>\n<li><strong>Colloquium of the Department of Mathematical Sciences.\u00a0<\/strong>Talk:\u00a0&#8220;Deformations of Gorenstein-projective Modules over Nakayama Algebras&#8221;, September 2018, Georgia Southern University, Statesboro, GA<\/li>\n<li><strong>5th UN Encuentro de Matem\u00e1ticas<\/strong>. Talk: &#8220;Deformations of Gorenstein-projective Modules over Nakayama Algebras&#8221;, June 2018, Universidad Nacional de Colombia, Bogot\u00e1, Colombia<\/li>\n<li><span class=\"style_6\"><strong>Maurice Auslander Distinguished Lectures and International Conference<\/strong><\/span><span class=\"style_8\">. Talk: &#8220;Derived Tame Nakayama Algebras&#8221;, April 2018, Woods Hole, MA<\/span><\/li>\n<li><span class=\"style_6\"><strong>5th Conference on Geometric Methods in Representation Theory<\/strong><\/span><span class=\"style_8\">. Talk: &#8220;Derived Tame Nakayama Algebras&#8221;, November 2017, University of Iowa, Iowa City, IA<\/span><\/li>\n<li><span class=\"style_4\"><strong>XXIInd Latino-American Algebra Colloquium<\/strong><\/span>. Talk: \u201cUniversal Deformation of Modules over Monomial Algebras with no Overlaps\u201d, August 2017, Pontificia Universidad Cat\u00f3lica de Ecuador, Quito, Ecuador<\/li>\n<li><span class=\"style_4\"><strong>Second Mathematical Congress of the Americas<\/strong><\/span><span class=\"style_4\">.<\/span>\u00a0Talk: \u201cUniversal Deformation Rings of Modules over a Class of Self-injective Special Biserial Algebras\u201d. July 2017, McGill Universit\u00e9, Montreal, QC, Canada.<\/li>\n<li><span class=\"style_4\"><strong>XXth Colombian Congress of Mathematics<\/strong><\/span>. Talk: \u201cUniversal Deformation Ring of Complexes over Finite Dimensional Algebras\u201d, June 2017, Universidad Nacional de Colombia in Bogot\u00e1, Bogot\u00e1, Colombia.<\/li>\n<li><span class=\"style_6\"><strong>Maurice Auslander Distinguished Lectures and International Conference<\/strong><\/span><span class=\"style_8\">. Talk: &#8220;On Universal Deformation Rings of Gorenstein-projective modules over finite dimensional algebras&#8221;, April 2017, Woods Hole, MA<\/span><\/li>\n<li><span class=\"style_6\"><strong>2016 Migrant Student Education Day<\/strong><\/span><span class=\"style_8\">. Talk: &#8220;\u00a1SI SE PUEDE!: Some guidelines for succeeding in mathematics courses in College &#8220;, October 2016, Valdosta State University, Valdosta, GA<\/span><\/li>\n<li><span class=\"style_6\"><strong>XXVIIIth Meeting on Representation Theory of Algebras<\/strong><\/span><span class=\"style_6\">.\u00a0<\/span><span class=\"style_5\">Talk: \u201cOn Universal Deformation Rings for Gorenstein Algebras\u201d, October 2016, Universit\u00e9 Bishop\u2019s, Sherbrooke, Qu\u00e9bec, Canada<br \/>\n<\/span><\/li>\n<li><span class=\"style_6\"><strong>XVII International Conference on Representation of Algebras ICRA 2016<\/strong><\/span><span class=\"style_6\">.\u00a0<\/span><span class=\"style_5\">Talk: \u201cSingular Equivalence of Morita Type and Universal Deformation Rings for Gorenstein Algebras\u201d, August 2016, Syracuse, NY.<\/span><\/li>\n<li><span class=\"style_6\"><strong>ALTENCOA7-2016<\/strong><\/span><span class=\"style_8\">. Talk: &#8220;On Universal Deformation Rings for Gorenstein Algebras&#8221;, July 2016, Bucaramanga, Santander, Colombia<\/span><\/li>\n<li><span class=\"style_6\"><strong>2015 Migrant Student Education Day<\/strong><\/span><span class=\"style_8\">. Talk: &#8220;\u00a1SI SE PUEDE!: Some guidelines for succeeding in mathematics courses in College &#8220;, October 2015, Valdosta State University, Valdosta, GA<\/span><\/li>\n<li><span class=\"style_6\"><strong>XXVIIth Meeting on Representation Theory of Algebra<\/strong><\/span><span class=\"style_6\">s.<\/span><span class=\"style_8\">\u00a0Talk: &#8220;String and Band Complexes over Certain Algebra of Dihedral Type&#8221;, September 2015, Universit\u00e9 Bishop\u2019s, Sherbrooke, Qu\u00e9bec, Canada<\/span><\/li>\n<li><span class=\"style_6\"><strong>XX Colombian Congress of Mathematics<\/strong><\/span><span class=\"style_8\">. Talk: &#8220;String and Band Complexes over Certain Algebra of Dihedral Type&#8221;, July 2015, Universidad Nacional de Colombia, Manizales, Colombia<\/span><\/li>\n<li><span class=\"style_6\"><strong>XX Colombian Congress of Mathematics<\/strong><\/span><span class=\"style_8\">. Short course: &#8220;An Introduction the the Representation Theory of Finite Dimensional Algebras&#8221;, July 2015, Universidad Nacional de Colombia, Manizales, Colombia<\/span><\/li>\n<li><span class=\"style_6\"><strong>2015 VSU Migrant Leadership Academy<\/strong><\/span><span class=\"style_8\">. Talk: &#8220;Mathematical Demonstrations&#8221;, June 2015, Valdosta State University, Valdosta, GA<\/span><\/li>\n<li><span class=\"style_6\"><strong>3rd Conference on Geometric Methods in Representation Theory<\/strong><\/span><span class=\"style_8\">. Talk: &#8220;Deformations and Derived Equivalence over Symmetric Algebras&#8221;, November 2014, University of Iowa, Iowa City, IA<\/span><\/li>\n<li><span class=\"style_6\"><strong>2014 Migrant Student Education Day<\/strong><\/span><span class=\"style_8\">. Talk: &#8220;\u00a1SI SE PUEDE!: Some guidelines for succeeding in mathematics courses in College &#8220;, October 2014, Valdosta State University, Valdosta, GA<\/span><\/li>\n<li><span class=\"style_6\"><strong>ALTENCOA6-2014<\/strong><\/span><span class=\"style_8\">. Talk: &#8220;Deformations and Derived Equivalence over Symmetric Algebras&#8221;, August 2014, Pasto, Nari\u00f1o, Colombia<\/span><\/li>\n<li><span class=\"style_6\"><strong>Joint Mathematics Meetings<\/strong><\/span><span class=\"style_8\">. Talk: &#8220;On the Infinitude of Prime Elements&#8221;, January 2014, Baltimore, MD<\/span><\/li>\n<li><span class=\"style_6\"><strong>2nd Conference on Geometric Methods in Representation Theory<\/strong><\/span><span class=\"style_8\">. Talk: &#8220;Deformations and Derived Equivalence over Frobenius Algebras&#8221;, November 2013, University of Missouri, Columbia, MO<\/span><\/li>\n<li><span class=\"style_6\"><strong>2013 Migrant Student Education Day<\/strong><\/span><span class=\"style_8\">. Talk: &#8220;\u00a1SI SE PUEDE!: Some guidelines for succeeding in mathematics courses in College &#8220;, October 2013, Valdosta State University, Valdosta, GA<\/span><\/li>\n<li><span class=\"style_6\"><strong>Conference on Geometric Methods in Representation Theory<\/strong><\/span><span class=\"style_8\">. Talk: &#8220;Universal Deformation Rings of Modules over a Certain Symmetric Tame Algebra&#8221;, November 2012, University of Missouri, Columbia, MO<\/span><\/li>\n<li><span class=\"style_6\"><strong>Institutional Seminar on Algebra<\/strong><\/span><span class=\"style_8\">. Talk: &#8220;Universal Deformation Rings of Modules over a Frobenius Algebra&#8221;, August 2012, Universidad de Antioquia, Medell\u00edn, Colombia<\/span><\/li>\n<li><span class=\"style_6\"><strong>Maurice Auslander Distinguished Lectures and International Conference<\/strong><\/span><span class=\"style_8\">. Talk: &#8220;Universal Deformation Rings of Modules over a Certain Symmetric Special Biserial Algebra&#8221;, April 2012, Woods Hole, MA<\/span><\/li>\n<li><span class=\"style_6\"><strong>Science Seminar<\/strong><\/span><span class=\"style_8\">. Talk: &#8220;On Prime Numbers and the Goldbach Conjecture&#8221;, February 2012, Valdosta State University<\/span><\/li>\n<li><span class=\"style_6\"><strong>1069th American Mathematical Society Meeting<\/strong><\/span><span class=\"style_8\">, Central Section. Talk: &#8220;Universal Deformation Rings of Modules over Frobenius Algebras&#8221;, March 2011, University of Iowa<\/span><\/li>\n<li><span class=\"style_6\"><strong>Science Seminar<\/strong><\/span><span class=\"style_8\">. Talk: &#8220;On Certain Divisibility Property of Polynomials&#8221;, October 2010, Valdosta State University<br \/>\n<\/span><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"id15\" class=\"style_SkipStroke_4 shape-with-text\">\n<div class=\"text-content style_External_637_193 vertical-align-middle-middlebox\">\n<div class=\"style_1 vertical-align-middle-innerbox\"><\/div>\n<\/div>\n<\/div>\n<div id=\"id17\" class=\"style_SkipStroke_4 shape-with-text\">\n<div class=\"text-content style_External_637_158 vertical-align-middle-middlebox\">\n<div class=\"tinyText\"><\/div>\n<\/div>\n<\/div>\n<div class=\"spacer\"><\/div>\n<\/div>\n<div id=\"footer_layer\">\n<div class=\"bumper\"><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Education Ph.D in Mathematics, University of Iowa, 2010. Thesis title:\u00a0\u201cUniversal deformation rings of modules over self-injective algebras\u201d. Thesis supervisor: Professor Frauke M. Bleher. M.Sc. in Mathematics, University of Iowa, 2007. M.Sc. in Mathematics, University of Puerto Rico at Mayag\u00fcez, 2005.\u00a0Thesis &hellip; <a href=\"https:\/\/blog.valdosta.edu\/javelezmarulanda\/curriculum-vitae\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":457,"featured_media":0,"parent":0,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"onecolumn-page.php","meta":{"footnotes":""},"class_list":["post-47","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/blog.valdosta.edu\/javelezmarulanda\/wp-json\/wp\/v2\/pages\/47","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.valdosta.edu\/javelezmarulanda\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blog.valdosta.edu\/javelezmarulanda\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blog.valdosta.edu\/javelezmarulanda\/wp-json\/wp\/v2\/users\/457"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.valdosta.edu\/javelezmarulanda\/wp-json\/wp\/v2\/comments?post=47"}],"version-history":[{"count":103,"href":"https:\/\/blog.valdosta.edu\/javelezmarulanda\/wp-json\/wp\/v2\/pages\/47\/revisions"}],"predecessor-version":[{"id":361,"href":"https:\/\/blog.valdosta.edu\/javelezmarulanda\/wp-json\/wp\/v2\/pages\/47\/revisions\/361"}],"wp:attachment":[{"href":"https:\/\/blog.valdosta.edu\/javelezmarulanda\/wp-json\/wp\/v2\/media?parent=47"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}