{"id":457,"date":"2023-10-02T15:07:23","date_gmt":"2023-10-02T13:07:23","guid":{"rendered":"https:\/\/www.postgradospucv.cl\/?page_id=457"},"modified":"2025-09-15T20:24:17","modified_gmt":"2025-09-15T18:24:17","slug":"doctorado-en-matematica","status":"publish","type":"page","link":"https:\/\/www.postgradospucv.cl\/index.php\/doctorado-en-matematica\/","title":{"rendered":"Doctorado en Matem\u00e1tica"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"457\" class=\"elementor elementor-457\" data-elementor-settings=\"{&quot;ha_cmc_init_switcher&quot;:&quot;no&quot;}\" data-elementor-post-type=\"page\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4ff58ace elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"4ff58ace\" data-element_type=\"section\" data-settings=\"{&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6a0eeb12\" data-id=\"6a0eeb12\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-332d6d62 elementor-cta--skin-cover elementor-animated-content elementor-widget elementor-widget-call-to-action\" data-id=\"332d6d62\" data-element_type=\"widget\" data-widget_type=\"call-to-action.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-cta\">\n\t\t\t\t\t<div class=\"elementor-cta__bg-wrapper\">\n\t\t\t\t<div class=\"elementor-cta__bg elementor-bg\" style=\"background-image: url(https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2023\/10\/Banner-Doctorado-en-Matematica.jpg);\" role=\"img\" aria-label=\"Banner-Doctorado-en-Matem\u00e1tica\"><\/div>\n\t\t\t\t<div class=\"elementor-cta__bg-overlay\"><\/div>\n\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-cta__content\">\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<h2 class=\"elementor-cta__title elementor-cta__content-item elementor-content-item elementor-animated-item--grow\">\n\t\t\t\t\t\tFACULTAD DE CIENCIAS\t\t\t\t\t<\/h2>\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-cta__description elementor-cta__content-item elementor-content-item elementor-animated-item--grow\">\n\t\t\t\t\t\tDOCTORADO EN MATEM\u00c1TICA\t\t\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-11229a5e elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"11229a5e\" data-element_type=\"section\" data-settings=\"{&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-16 elementor-inner-column elementor-element elementor-element-5a29c08e\" data-id=\"5a29c08e\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fbd84f9 elementor-widget elementor-widget-heading\" data-id=\"fbd84f9\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Duraci\u00f3n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-35b558f1 elementor-align-left elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"35b558f1\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">8 semestres<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-16 elementor-inner-column elementor-element elementor-element-2014c0fb\" data-id=\"2014c0fb\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e40f764 elementor-widget elementor-widget-heading\" data-id=\"e40f764\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Postulaci\u00f3n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-221962ea elementor-align-left elementor-mobile-align-center elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"221962ea\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Desde el 14 de julio al 20 de octubre 2025<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-16 elementor-inner-column elementor-element elementor-element-4f77ad2e\" data-id=\"4f77ad2e\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-247e19b8 elementor-widget elementor-widget-heading\" data-id=\"247e19b8\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Inicio de clases<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-33aaeca5 elementor-align-left elementor-mobile-align-center elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"33aaeca5\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Marzo<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-16 elementor-inner-column elementor-element elementor-element-31b087a7\" data-id=\"31b087a7\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-35f9e980 elementor-widget elementor-widget-heading\" data-id=\"35f9e980\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Modalidad<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2386ebfe elementor-align-left elementor-mobile-align-center elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"2386ebfe\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Presencial<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-16 elementor-inner-column elementor-element elementor-element-38c25e49\" data-id=\"38c25e49\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2974e2a elementor-widget elementor-widget-heading\" data-id=\"2974e2a\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Valor del programa<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-55a2d496 elementor-align-left elementor-mobile-align-center elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"55a2d496\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Valor matr\u00edcula semestral: $143.000.-<br> Valor total del programa: $ 17.640.000 <br> Valor semestral del programa: $2.205.000<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-16 elementor-inner-column elementor-element elementor-element-6b802dcc\" data-id=\"6b802dcc\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3afb2e24 elementor-widget elementor-widget-heading\" data-id=\"3afb2e24\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Horarios<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a96931a elementor-align-left elementor-mobile-align-center elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"a96931a\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lunes a viernes de 08:00 a 19:00 hrs <\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-8691d1d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"8691d1d\" data-element_type=\"section\" data-settings=\"{&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6ffd7e7\" data-id=\"6ffd7e7\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-69391a6 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"69391a6\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/navegador.pucv.cl\/administracion\/mantenedores\/postulaciones\/index.php\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">PORTAL DE POSTULACI\u00d3N<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-7ea13a4f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7ea13a4f\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-50a995ed\" data-id=\"50a995ed\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4502003 elementor-widget__width-initial elementor-widget elementor-widget-image\" data-id=\"4502003\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"2894\" height=\"827\" src=\"https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/01\/Doctorado-en-Matematica_Color_1.png\" class=\"attachment-full size-full wp-image-7983\" alt=\"\" srcset=\"https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/01\/Doctorado-en-Matematica_Color_1.png 2894w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/01\/Doctorado-en-Matematica_Color_1-300x86.png 300w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/01\/Doctorado-en-Matematica_Color_1-1024x293.png 1024w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/01\/Doctorado-en-Matematica_Color_1-768x219.png 768w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/01\/Doctorado-en-Matematica_Color_1-1536x439.png 1536w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/01\/Doctorado-en-Matematica_Color_1-2048x585.png 2048w\" sizes=\"(max-width: 2894px) 100vw, 2894px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9c00a8 elementor-align-right elementor-widget elementor-widget-button\" data-id=\"9c00a8\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/doctoradomat.uv.cl\/\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Sitio Web ><\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7c6731e1 elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"7c6731e1\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-arrow-alt-circle-right\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Descripci\u00f3n y objetivos del Programa<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ba41635 elementor-widget__width-initial elementor-widget elementor-widget-text-editor\" data-id=\"ba41635\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>El Programa, de car\u00e1cter acad\u00e9mico, tiene como objetivo formar recursos humanos doctorados en Matem\u00e1tica, con formaci\u00f3n de excelencia, avanzada y con una s\u00f3lida especializaci\u00f3n en alguna de las l\u00edneas de investigaci\u00f3n que las universidades del Consorcio sostienen, capaces de contribuir a la formaci\u00f3n de matem\u00e1ticos y preparados para realizar investigaci\u00f3n cient\u00edfica y\/o tecnol\u00f3gica original, independiente y de vanguardia.<br \/><strong>Objetivos espec\u00edficos:<\/strong><br \/>1.-Fortalecer la investigaci\u00f3n en matem\u00e1tica en las respectivas instituciones participantes, a trav\u00e9s de la incorporaci\u00f3n de los estudiantes de doctorado.<br \/>2.-Formar recursos humanos capacitados para realizar investigaci\u00f3n matem\u00e1tica en una de las l\u00edneas de investigaci\u00f3n ofrecidas por el programa.<br \/>3.-Formar recursos humanos capaces de insertarse en un centro o instituci\u00f3n que desarrolle o fomente la investigaci\u00f3n cient\u00edfica.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4de5c6e9 elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"4de5c6e9\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-arrow-alt-circle-right\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">L\u00edneas de Investigaci\u00f3n<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-42a4176e elementor-widget elementor-widget-text-editor\" data-id=\"42a4176e\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<ul><li>An\u00e1lisis No Lineal y de EDP<\/li><li>An\u00e1lisis Num\u00e9rico<\/li><li>Control de EDP y Problemas Inversos<\/li><li>Matem\u00e1ticas Discretas<\/li><li>Modelaci\u00f3n Estad\u00edstica<\/li><li>Optimizaci\u00f3n<\/li><li>An\u00e1lisis Estoc\u00e1stico<\/li><li>Sistemas Din\u00e1micos<\/li><li>Aritm\u00e9tica y Geometr\u00eda<\/li><li>Algebra y Teor\u00eda de Nudos<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7cedb3c2 elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"7cedb3c2\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-arrow-alt-circle-right\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Perfil de ingreso<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-52a4595f elementor-widget elementor-widget-text-editor\" data-id=\"52a4595f\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Estar en posesi\u00f3n de un grado acad\u00e9mico de licenciado(a) obtenido en Chile o en el extranjero, en las \u00e1reas de las disciplinas propias o afines con este Programa. Adem\u00e1s del grado de licenciado(a), ser\u00e1 necesario que el\/la postulante posea o est\u00e9 en v\u00edas de obtener un Grado de Magister o un T\u00edtulo Profesional, en este \u00faltimo caso con una formaci\u00f3n universitaria total de, al menos, 5 a\u00f1os de duraci\u00f3n.<br \/>El grado de mag\u00edster y\/o el t\u00edtulo profesional tambi\u00e9n deber\u00e1 corresponder a las disciplinas propias o afines con este Programa La afinidad ser\u00e1 determinada por el Comit\u00e9.<\/p><p>El grado de mag\u00edster y\/o el titulo profesional tambi\u00e9n deber\u00e1 corresponder a las disciplinas propias o afines con este Programa La afinidad ser\u00e1 determinada por el Comit\u00e9.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2d7367ed elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"2d7367ed\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-arrow-alt-circle-right\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Perfil de graduaci\u00f3n<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4bb472a1 elementor-widget elementor-widget-text-editor\" data-id=\"4bb472a1\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>El graduado del programa de Doctorado en Matem\u00e1tica posee los conocimientos, las habilidades y las aptitudes para:<br \/>1.- Proyectar, formular y ejecutar, de manera aut\u00f3noma investigaci\u00f3n de calidad en su l\u00ednea de especializaci\u00f3n, con el fin de contribuir al conocimiento en matem\u00e1tica.<br \/>2.- Integrar equipos de trabajo, para la generaci\u00f3n de nuevo conocimiento.<br \/>3.- Desarrollar su trabajo en la perspectiva de los est\u00e1ndares \u00e9ticos de la disciplina.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-4cd922b7\" data-id=\"4cd922b7\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3c5bbc98 elementor-widget elementor-widget-image\" data-id=\"3c5bbc98\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"600\" height=\"350\" src=\"https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2023\/10\/Doctorado-en-Matematica.jpg\" class=\"attachment-full size-full wp-image-460\" alt=\"\" srcset=\"https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2023\/10\/Doctorado-en-Matematica.jpg 600w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2023\/10\/Doctorado-en-Matematica-300x175.jpg 300w\" sizes=\"(max-width: 600px) 100vw, 600px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-30c5b972 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"30c5b972\" data-element_type=\"section\" data-settings=\"{&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-747ada1\" data-id=\"747ada1\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4e757567 elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"4e757567\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Requisitos de admisi\u00f3n<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6ab2b412 elementor-widget elementor-widget-text-editor\" data-id=\"6ab2b412\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Para postular al Programa se requerir\u00e1 estar en posesi\u00f3n de un grado acad\u00e9mico de licenciado(a) obtenido en Chile o en el extranjero, en las \u00e1reas de las disciplinas propias o afines con este Programa. Adem\u00e1s del grado de licenciado(a), ser\u00e1 necesario que el\/la postulante posea o est\u00e9 en v\u00edas de obtener un Grado de Magister o un T\u00edtulo Profesional, en este \u00faltimo caso con una formaci\u00f3n universitaria total de, al menos, 5 a\u00f1os de duraci\u00f3n. El grado de mag\u00edster y\/o el titulo profesional tambi\u00e9n deber\u00e1 corresponder a las disciplinas propias o afines con este Programa La afinidad ser\u00e1 determinada por el Comit\u00e9.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6b89a640 ha-toggle--icon-left elementor-widget elementor-widget-ha-toggle happy-addon ha-toggle happy-addon-pro\" data-id=\"6b89a640\" data-element_type=\"widget\" data-widget_type=\"ha-toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"ha-toggle__wrapper\" role=\"tablist\">\n\t\t\t\t\t\t\t<div class=\"ha-toggle__item\">\n\t\t\t\t\t<div id=\"ha-toggle__item-title-1801\" class=\"ha-toggle__item-title\" data-tab=\"1\" role=\"tab\" aria-controls=\"ha-toggle__item-content-1801\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__item-icon ha-toggle__icon\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__icon--closed\"><i aria-hidden=\"true\" class=\"fas fa-chevron-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__icon--opened\"><i aria-hidden=\"true\" class=\"fas fa-chevron-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"ha-toggle__item-title-inner\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__item-title-text\">Documentos de postulaci\u00f3n<\/span>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"ha-toggle__item-content-1801\" class=\"ha-toggle__item-content\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"ha-toggle__item-title-1801\">\n\t\t\t\t\t\t<ul><li>Formulario de postulaci\u00f3n,<\/li><li>Dos cartas de recomendaci\u00f3n,<\/li><li>Copia de t\u00edtulos y grados,<\/li><li>Certificado de notas y ranking.<\/li><\/ul>\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4f8cdd8c ha-toggle--icon-left elementor-widget elementor-widget-ha-toggle happy-addon ha-toggle happy-addon-pro\" data-id=\"4f8cdd8c\" data-element_type=\"widget\" data-widget_type=\"ha-toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"ha-toggle__wrapper\" role=\"tablist\">\n\t\t\t\t\t\t\t<div class=\"ha-toggle__item\">\n\t\t\t\t\t<div id=\"ha-toggle__item-title-1331\" class=\"ha-toggle__item-title\" data-tab=\"1\" role=\"tab\" aria-controls=\"ha-toggle__item-content-1331\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__item-icon ha-toggle__icon\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__icon--closed\"><i aria-hidden=\"true\" class=\"fas fa-chevron-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__icon--opened\"><i aria-hidden=\"true\" class=\"fas fa-chevron-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"ha-toggle__item-title-inner\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__item-title-text\">Becas y Beneficios<\/span>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"ha-toggle__item-content-1331\" class=\"ha-toggle__item-content\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"ha-toggle__item-title-1331\">\n\t\t\t\t\t\t<p>AUIP:\u00a0<a href=\"https:\/\/www.auip.org\/es\/\" target=\"_blank\" rel=\"noopener noreferrer\" data-auth=\"NotApplicable\" data-linkindex=\"3\">Principal (auip.org)<\/a>\u00a0(Becas de Movilidad desde Europa Hacia Am\u00e9rica, viceversa).<br aria-hidden=\"true\" \/>ANID:\u00a0<a href=\"https:\/\/anid.cl\/\" target=\"_blank\" rel=\"noopener noreferrer\" data-auth=\"NotApplicable\" data-linkindex=\"4\">Inicio \u2013 ANID<\/a>\u00a0\u2013 Doctorado Becas Chile<\/p><p><strong>Becas Internas PUCV:<\/strong> Arancel para estudiantes Extranjeros \u2013Manutenci\u00f3n para estudiantes extranjeros- Arancel para estudiantes nacionales &#8211; Manutenci\u00f3n para estudiantes nacionales \u2013Evento Cient\u00edfico \u2013 T\u00e9rmino de Tesis \u2013 Pasant\u00eda.<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c43c3c4 ha-toggle--icon-left elementor-widget elementor-widget-ha-toggle happy-addon ha-toggle happy-addon-pro\" data-id=\"c43c3c4\" data-element_type=\"widget\" data-widget_type=\"ha-toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"ha-toggle__wrapper\" role=\"tablist\">\n\t\t\t\t\t\t\t<div class=\"ha-toggle__item\">\n\t\t\t\t\t<div id=\"ha-toggle__item-title-2051\" class=\"ha-toggle__item-title\" data-tab=\"1\" role=\"tab\" aria-controls=\"ha-toggle__item-content-2051\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__item-icon ha-toggle__icon\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__icon--closed\"><i aria-hidden=\"true\" class=\"fas fa-chevron-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__icon--opened\"><i aria-hidden=\"true\" class=\"fas fa-chevron-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"ha-toggle__item-title-inner\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__item-title-text\">Cuerpo Acad\u00e9mico<\/span>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"ha-toggle__item-content-2051\" class=\"ha-toggle__item-content\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"ha-toggle__item-title-2051\">\n\t\t\t\t\t\t<p>Claustro \/ Radu Saghin<br \/>Claustro \/ Ignacio Muga Urquiza<br \/>Claustro \/ Carlos V\u00e1squez Ehrenfeld<br \/>Claustro \/ Luis Alberto Lomel\u00ed<br \/>Claustro \/ Matthieu Arfeux<br \/>Claustro \/ Paulina Ester Sep\u00falveda Salas<br \/>Claustro \/ Francisco Valenzuela Henr\u00edquez<br \/>Claustro \/ Felipe Riquelme Abarca<br \/>Claustro \/ Sergio Rojas Hern\u00e1ndez<br \/>Claustro \/ Sebasti\u00e1n P\u00e9rez Opazo<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d61a35f ha-toggle--icon-left elementor-widget elementor-widget-ha-toggle happy-addon ha-toggle happy-addon-pro\" data-id=\"d61a35f\" data-element_type=\"widget\" data-widget_type=\"ha-toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"ha-toggle__wrapper\" role=\"tablist\">\n\t\t\t\t\t\t\t<div class=\"ha-toggle__item\">\n\t\t\t\t\t<div id=\"ha-toggle__item-title-2241\" class=\"ha-toggle__item-title\" data-tab=\"1\" role=\"tab\" aria-controls=\"ha-toggle__item-content-2241\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__item-icon ha-toggle__icon\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__icon--closed\"><i aria-hidden=\"true\" class=\"fas fa-chevron-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__icon--opened\"><i aria-hidden=\"true\" class=\"fas fa-chevron-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"ha-toggle__item-title-inner\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__item-title-text\">Requisitos de Graduaci\u00f3n y Grado Otorgado<\/span>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"ha-toggle__item-content-2241\" class=\"ha-toggle__item-content\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"ha-toggle__item-title-2241\">\n\t\t\t\t\t\t<p>Para obtener el <strong>Grado de Doctor en Matem\u00e1tica<\/strong>, se requiere realizar una Tesis de Doctorado individual y original que aporte al campo de las matem\u00e1ticas. Durante el proceso, el estudiante debe presentar avances de su investigaci\u00f3n y publicaciones bajo la afiliaci\u00f3n de su director de tesis. Una vez completada y aprobada por el Director de Tesis, la tesis es evaluada por una Comisi\u00f3n de Tesis compuesta por cinco profesores, incluyendo especialistas externos. Tras su evaluaci\u00f3n, el candidato defiende p\u00fablicamente su tesis ante esta comisi\u00f3n. El grado se confiere tras aprobar el examen de grado y cumplir con requisitos adicionales como cr\u00e9ditos de asignaturas, ex\u00e1menes previos y un proyecto de tesis.<\/p><p>El diploma acreditativo del grado de Doctor en Matem\u00e1tica ser\u00e1 conferido conjuntamente por la Pontificia Universidad Cat\u00f3lica de Valpara\u00edso, la Universidad T\u00e9cnica Federico Santa Mar\u00eda y la Universidad de Valpara\u00edso; llevar\u00e1 impreso los respectivos escudos institucionales y en \u00e9l se har\u00e1 referencia al hecho de tratarse de un programa en consorcio impartido por esas tres instituciones de educaci\u00f3n superior.<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-4c230e51 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4c230e51\" data-element_type=\"section\" data-settings=\"{&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-635e916b\" data-id=\"635e916b\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-34cacf6d elementor-align-center elementor-widget elementor-widget-button\" data-id=\"34cacf6d\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2023\/11\/Reglamento-Academico_Doctorado-en-Matematica.pdf\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-icon\">\n\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-file-download\"><\/i>\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Reglamento del Programa<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3f07c789 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3f07c789\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-16b7f02\" data-id=\"16b7f02\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3cd9c088 elementor-widget elementor-widget-heading\" data-id=\"3cd9c088\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">PLAN DE ESTUDIOS<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-377812ec ha-column-alignment-left ha-column-alignment-left ha-column-icon-left ha-column-icon-left ha-row-alignment-center ha-row-icon-top ha-row-icon-top ha-data-table-responsive-scroll-yes ha-column-alignment-center ha-row-alignment-left ha-data-table-disable-wordwrap-yes elementor-widget elementor-widget-ha-data-table happy-addon ha-data-table\" data-id=\"377812ec\" data-element_type=\"widget\" data-widget_type=\"ha-data-table.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\n\t\t<table class=\"ha-table\">\n\t\t\t<thead class=\"ha-table__head\">\n\t\t\t\t<tr class=\"ha-table__head-column\">\n\t\t\t\t\t\t\t\t\t\t\t<th class=\"ha-table__head-column-cell elementor-repeater-item-afa6919\">\n\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-wrap\">\n\t\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-text\">I SEMESTRE<\/div>\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/th>\n\t\t\t\t\t\t\t\t\t\t\t<th class=\"ha-table__head-column-cell elementor-repeater-item-0330529\">\n\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-wrap\">\n\t\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-text\">II SEMESTRE<\/div>\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/th>\n\t\t\t\t\t\t\t\t\t\t\t<th class=\"ha-table__head-column-cell elementor-repeater-item-3c82eda\">\n\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-wrap\">\n\t\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-text\">III SEMESTRE<\/div>\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/th>\n\t\t\t\t\t\t\t\t\t\t\t<th class=\"ha-table__head-column-cell elementor-repeater-item-eb5f0fa\">\n\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-wrap\">\n\t\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-text\">IV SEMESTRE<\/div>\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/th>\n\t\t\t\t\t\t\t\t\t\t\t<th class=\"ha-table__head-column-cell elementor-repeater-item-499c773\">\n\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-wrap\">\n\t\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-text\">III Y IV SEMESTRE<\/div>\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/th>\n\t\t\t\t\t\t\t\t\t\t\t<th class=\"ha-table__head-column-cell elementor-repeater-item-e8c1fac\">\n\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-wrap\">\n\t\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-text\">V A VIII SEMESTRE<\/div>\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/th>\n\t\t\t\t\t\t\t\t\t<\/tr>\n\t\t\t<\/thead>\n\n\t\t\t<tbody class=\"ha-table__body\">\n\t\t\t\t\t\t\t\t\t<tr class=\"ha-table__body-row\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-51aa844\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tCurso espec\u00edfico 1\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-f0c5242\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tCurso espec\u00edfico 2\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-d550af1\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tSeminario de investigaci\u00f3n 3\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-df6a6bf\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tSeminario de investigaci\u00f3n 4\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-cc9ab98\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tProyecto de tesis\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-153b6a0\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tTesis\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/tr>\n\t\t\t\t\t\t\t\t\t<tr class=\"ha-table__body-row\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-7b04dfd\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tCurso complementario 1\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-42e5937\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tCurso complementario 2\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/tr>\n\t\t\t\t\t\t\t\t\t<tr class=\"ha-table__body-row\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-93e0964\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tSeminario de investigaci\u00f3n 1\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-407c384\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tSeminario de investigaci\u00f3n 2\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/tr>\n\t\t\t\t\t\t\t<\/tbody>\n\t\t<\/table>\n\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d3588f2 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"d3588f2\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2023\/11\/Reglamento-Plan-de-Estudios_Doctorado-en-Matematica.pdf\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-icon\">\n\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-file-download\"><\/i>\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Reglamento Plan de Estudio<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5e71bde ha-has-bg-overlay elementor-widget elementor-widget-text-editor\" data-id=\"5e71bde\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p style=\"text-align: left;\"><strong>El programa se dicta en forma conjunta por la Pontificia Universidad Cat\u00f3lica de Valpara\u00edso, la Universidad T\u00e9cnica Federico Santa Mar\u00eda y la Universidad de Valpara\u00edso<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-57c966e1 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"57c966e1\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-42ec3672\" data-id=\"42ec3672\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5394a93 elementor-widget elementor-widget-google_maps\" data-id=\"5394a93\" data-element_type=\"widget\" data-widget_type=\"google_maps.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-custom-embed\">\n\t\t\t<iframe loading=\"lazy\"\n\t\t\t\t\tsrc=\"https:\/\/maps.google.com\/maps?q=Calle%20Blanco%20Viel%20N%C2%B0596%2C%20Cerro%20Bar%C3%B3n%2C%20Valpara%C3%ADso.&#038;t=m&#038;z=16&#038;output=embed&#038;iwloc=near\"\n\t\t\t\t\ttitle=\"Calle Blanco Viel N\u00b0596, Cerro Bar\u00f3n, Valpara\u00edso.\"\n\t\t\t\t\taria-label=\"Calle Blanco Viel N\u00b0596, Cerro Bar\u00f3n, Valpara\u00edso.\"\n\t\t\t><\/iframe>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-116e1dae elementor-align-left elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"116e1dae\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"mailto:postgrado.ima@pucv.cl\">\n\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-envelope\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">postgrado.ima@pucv.cl<\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"tel:+56%2032%20227%204038\">\n\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-phone-alt\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">+56 32 227 4038<\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-location-arrow\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Calle Blanco Viel N\u00ba596, Cerro Bar\u00f3n, Valpara\u00edso.<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Nombre del Director: Luis Alberto Lomel\u00ed<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4a4f885 elementor-widget__width-initial elementor-widget elementor-widget-image\" data-id=\"4a4f885\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"1997\" height=\"609\" src=\"https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/04\/DOCTORADO-EN-MATEMATICA-color.png\" class=\"attachment-full size-full wp-image-9447\" alt=\"\" srcset=\"https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/04\/DOCTORADO-EN-MATEMATICA-color.png 1997w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/04\/DOCTORADO-EN-MATEMATICA-color-300x91.png 300w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/04\/DOCTORADO-EN-MATEMATICA-color-1024x312.png 1024w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/04\/DOCTORADO-EN-MATEMATICA-color-768x234.png 768w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/04\/DOCTORADO-EN-MATEMATICA-color-1536x468.png 1536w\" sizes=\"(max-width: 1997px) 100vw, 1997px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a004e6a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a004e6a\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-a8d864a\" data-id=\"a8d864a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-578a24b elementor-widget elementor-widget-heading\" data-id=\"578a24b\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u00bfNecesitas m\u00e1s informaci\u00f3n sobre el programa?<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-21938fb elementor-button-align-center elementor-widget elementor-widget-form\" data-id=\"21938fb\" data-element_type=\"widget\" data-settings=\"{&quot;step_next_label&quot;:&quot;Siguiente&quot;,&quot;step_previous_label&quot;:&quot;Anterior&quot;,&quot;button_width&quot;:&quot;100&quot;,&quot;step_type&quot;:&quot;number_text&quot;,&quot;step_icon_shape&quot;:&quot;circle&quot;}\" data-widget_type=\"form.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<form class=\"elementor-form\" method=\"post\" name=\"Formulario - Doctorado en Matem\u00e1tica\">\n\t\t\t<input type=\"hidden\" name=\"post_id\" value=\"457\"\/>\n\t\t\t<input type=\"hidden\" name=\"form_id\" value=\"21938fb\"\/>\n\t\t\t<input type=\"hidden\" name=\"referer_title\" value=\"\" \/>\n\n\t\t\t\n\t\t\t<div class=\"elementor-form-fields-wrapper elementor-labels-\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-text elementor-field-group elementor-column elementor-field-group-name elementor-col-33 elementor-field-required\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-name\" class=\"elementor-field-label elementor-screen-only\">\n\t\t\t\t\t\t\t\tNombre\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<input size=\"1\" type=\"text\" name=\"form_fields[name]\" id=\"form-field-name\" class=\"elementor-field elementor-size-sm  elementor-field-textual\" placeholder=\"Nombre\" required=\"required\">\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-text elementor-field-group elementor-column elementor-field-group-field_fcb629c elementor-col-33 elementor-field-required\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-field_fcb629c\" class=\"elementor-field-label elementor-screen-only\">\n\t\t\t\t\t\t\t\tApellido\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<input size=\"1\" type=\"text\" name=\"form_fields[field_fcb629c]\" id=\"form-field-field_fcb629c\" class=\"elementor-field elementor-size-sm  elementor-field-textual\" placeholder=\"Apellido\" required=\"required\">\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-text elementor-field-group elementor-column elementor-field-group-field_f4c15ee elementor-col-33 elementor-field-required\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-field_f4c15ee\" class=\"elementor-field-label elementor-screen-only\">\n\t\t\t\t\t\t\t\tRUT (ej.12345678-9)\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<input size=\"1\" type=\"text\" name=\"form_fields[field_f4c15ee]\" id=\"form-field-field_f4c15ee\" class=\"elementor-field elementor-size-sm  elementor-field-textual\" placeholder=\"RUT (ej.12345678-9)\" required=\"required\">\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-text elementor-field-group elementor-column elementor-field-group-field_9c74a92 elementor-col-33 elementor-field-required\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-field_9c74a92\" class=\"elementor-field-label elementor-screen-only\">\n\t\t\t\t\t\t\t\tComuna\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<input size=\"1\" type=\"text\" name=\"form_fields[field_9c74a92]\" id=\"form-field-field_9c74a92\" class=\"elementor-field elementor-size-sm  elementor-field-textual\" placeholder=\"Comuna\" required=\"required\">\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-email elementor-field-group elementor-column elementor-field-group-field_9c43e1e elementor-col-33 elementor-field-required\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-field_9c43e1e\" class=\"elementor-field-label elementor-screen-only\">\n\t\t\t\t\t\t\t\tEmail\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<input size=\"1\" type=\"email\" name=\"form_fields[field_9c43e1e]\" id=\"form-field-field_9c43e1e\" class=\"elementor-field elementor-size-sm  elementor-field-textual\" placeholder=\"Email\" required=\"required\">\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-tel elementor-field-group elementor-column elementor-field-group-field_e1d7b3c elementor-col-33 elementor-field-required\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-field_e1d7b3c\" class=\"elementor-field-label elementor-screen-only\">\n\t\t\t\t\t\t\t\tTel\u00e9fono\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t<input size=\"1\" type=\"tel\" name=\"form_fields[field_e1d7b3c]\" id=\"form-field-field_e1d7b3c\" class=\"elementor-field elementor-size-sm  elementor-field-textual\" placeholder=\"Tel\u00e9fono\" required=\"required\" pattern=\"[0-9()#&amp;+*-=.]+\" title=\"Only numbers and phone characters (#, -, *, etc) are accepted.\">\n\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-acceptance elementor-field-group elementor-column elementor-field-group-field_90ac35d elementor-col-50\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-field_90ac35d\" class=\"elementor-field-label elementor-screen-only\">\n\t\t\t\t\t\t\t\tDeseo recibir m\u00e1s informaci\u00f3n de la PUCV\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-subgroup\">\n\t\t\t<span class=\"elementor-field-option\">\n\t\t\t\t<input type=\"checkbox\" name=\"form_fields[field_90ac35d]\" id=\"form-field-field_90ac35d\" class=\"elementor-field elementor-size-sm  elementor-acceptance-field\">\n\t\t\t\t<label for=\"form-field-field_90ac35d\">Deseo recibir m\u00e1s informaci\u00f3n de la PUCV<\/label>\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-acceptance elementor-field-group elementor-column elementor-field-group-field_ecf6800 elementor-col-50\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-field_ecf6800\" class=\"elementor-field-label elementor-screen-only\">\n\t\t\t\t\t\t\t\tDeseo recibir m\u00e1s informaci\u00f3n del Postgrado\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-subgroup\">\n\t\t\t<span class=\"elementor-field-option\">\n\t\t\t\t<input type=\"checkbox\" name=\"form_fields[field_ecf6800]\" id=\"form-field-field_ecf6800\" class=\"elementor-field elementor-size-sm  elementor-acceptance-field\">\n\t\t\t\t<label for=\"form-field-field_ecf6800\">Deseo recibir m\u00e1s informaci\u00f3n del Postgrado<\/label>\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-text\">\n\t\t\t\t\t<input size=\"1\" type=\"text\" name=\"form_fields[field_6b4a05b]\" id=\"form-field-field_6b4a05b\" class=\"elementor-field elementor-size-sm \" style=\"display:none !important;\">\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-recaptcha_v3 elementor-field-group elementor-column elementor-field-group-field_4c160e2 elementor-col-100 recaptcha_v3-bottomleft\">\n\t\t\t\t\t<div class=\"elementor-field\" id=\"form-field-field_4c160e2\"><div class=\"elementor-g-recaptcha\" data-sitekey=\"6LdQ0CAqAAAAAIoskpTJ1ADyWB4G7uif7DloC2uP\" data-type=\"v3\" data-action=\"Form\" data-badge=\"bottomleft\" data-size=\"invisible\"><\/div><\/div>\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-group elementor-column elementor-field-type-submit elementor-col-100 e-form__buttons\">\n\t\t\t\t\t<button class=\"elementor-button elementor-size-sm\" type=\"submit\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Enviar<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/button>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/form>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>FACULTAD DE CIENCIAS DOCTORADO EN MATEM\u00c1TICA Duraci\u00f3n 8 semestres Postulaci\u00f3n Desde el 14 de julio al 20 de octubre 2025 Inicio de clases Marzo Modalidad Presencial Valor del programa Valor matr\u00edcula semestral: $143.000.- Valor total del programa: $ 17.640.000 Valor semestral del programa: $2.205.000 Horarios Lunes a viernes de 08:00 a 19:00 hrs PORTAL DE [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"site-sidebar-layout":"no-sidebar","site-content-layout":"","ast-site-content-layout":"full-width-container","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"disabled","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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