{"id":606,"date":"2022-04-23T16:28:00","date_gmt":"2022-04-23T14:28:00","guid":{"rendered":"https:\/\/mathphys.info\/?page_id=606"},"modified":"2026-09-14T14:13:32","modified_gmt":"2026-09-14T12:13:32","slug":"master-mathematik","status":"publish","type":"page","link":"https:\/\/unshitmyfuck.mathphys.info\/home\/studium\/master\/master-mathematik\/","title":{"rendered":"Master Mathematik"},"content":{"rendered":"<p>[et_pb_section fb_built=&#8220;1&#8243; _builder_version=&#8220;4.17.1&#8243; _module_preset=&#8220;default&#8220; background_color=&#8220;#990000&#8243; custom_margin=&#8220;0px||0px||false|false&#8220; custom_padding=&#8220;20px||20px||false|false&#8220; global_colors_info=&#8220;{}&#8220;][et_pb_row _builder_version=&#8220;4.17.1&#8243; _module_preset=&#8220;default&#8220; custom_margin=&#8220;0px||0px||false|false&#8220; custom_padding=&#8220;10px||0px||false|false&#8220; custom_css_main_element=&#8220;margin:auto;&#8220; global_colors_info=&#8220;{}&#8220;][et_pb_column type=&#8220;4_4&#8243; _builder_version=&#8220;4.17.1&#8243; _module_preset=&#8220;default&#8220; global_colors_info=&#8220;{}&#8220;][et_pb_text admin_label=&#8220;Text&#8220; _builder_version=&#8220;4.17.3&#8243; _module_preset=&#8220;default&#8220; header_font=&#8220;|700|||||||&#8220; header_text_color=&#8220;#FFFFFF&#8220; custom_margin=&#8220;0px||0px||false|false&#8220; custom_padding=&#8220;0px||0px||false|false&#8220; global_colors_info=&#8220;{}&#8220;]<\/p>\n<h1 style=\"text-align: center;\">Master Mathematik<\/h1>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=&#8220;1&#8243; _builder_version=&#8220;4.17.1&#8243; global_colors_info=&#8220;{}&#8220;][et_pb_row column_structure=&#8220;1_2,1_2&#8243; _builder_version=&#8220;4.27.3&#8243; background_size=&#8220;initial&#8220; background_position=&#8220;top_left&#8220; background_repeat=&#8220;repeat&#8220; animation_style=&#8220;slide&#8220; animation_direction=&#8220;top&#8220; animation_intensity_slide=&#8220;2%&#8220; global_colors_info=&#8220;{}&#8220;][et_pb_column type=&#8220;1_2&#8243; _builder_version=&#8220;4.16&#8243; custom_padding=&#8220;|||&#8220; global_colors_info=&#8220;{}&#8220; custom_padding__hover=&#8220;|||&#8220;][et_pb_text _builder_version=&#8220;4.27.3&#8243; _module_preset=&#8220;default&#8220; text_font=&#8220;||||||||&#8220; text_font_size=&#8220;18px&#8220; header_font=&#8220;||||||||&#8220; header_2_font=&#8220;|700|||||||&#8220; header_2_text_color=&#8220;#990000&#8243; header_2_font_size=&#8220;36px&#8220; header_2_line_height=&#8220;1.3em&#8220; header_3_font=&#8220;|700|||||||&#8220; header_3_text_color=&#8220;#990000&#8243; header_4_font=&#8220;|700|||||||&#8220; header_4_text_color=&#8220;#990000&#8243; module_alignment=&#8220;center&#8220; custom_margin=&#8220;||||false|false&#8220; custom_padding=&#8220;||||false|false&#8220; animation_direction=&#8220;bottom&#8220; text_font_size_tablet=&#8220;16px&#8220; text_font_size_phone=&#8220;14px&#8220; text_font_size_last_edited=&#8220;on|phone&#8220; quote_font_size_tablet=&#8220;&#8220; quote_font_size_phone=&#8220;14px&#8220; quote_font_size_last_edited=&#8220;on|phone&#8220; custom_css_main_element=&#8220;margin: auto;&#8220; locked=&#8220;off&#8220; global_colors_info=&#8220;{}&#8220; header_font_size__hover=&#8220;30px&#8220; header_font_size__hover_enabled=&#8220;30px&#8220; header_letter_spacing__hover=&#8220;0px&#8220; header_letter_spacing__hover_enabled=&#8220;0px&#8220; header_text_shadow_style__hover=&#8220;none&#8220; header_text_shadow_style__hover_enabled=&#8220;none&#8220; header_text_shadow_color__hover=&#8220;rgba(0,0,0,0.4)&#8220; header_text_shadow_color__hover_enabled=&#8220;rgba(0,0,0,0.4)&#8220; custom_css_main_element_last_edited=&#8220;off|desktop&#8220;]<\/p>\n<h2>Inhalt, Keyfacts, Besonderheiten<\/h2>\n<p>&nbsp;<\/p>\n<h3>Kurzbeschreibung<\/h3>\n<blockquote>\n<p><span style=\"color: #990000;\">\u201eEin Mathematiker ist eine Maschine, die Kaffee in Theoreme umwandelt.\u201c &#8211; Paul Erd\u0151s<\/span><\/p>\n<p><span style=\"color: #990000;\"><\/span><\/p>\n<p><span style=\"color: #990000;\"><\/span><\/p>\n<p><span style=\"color: #990000;\"><\/span><\/p>\n<p><span style=\"color: #990000;\"><\/span><\/p>\n<p><span style=\"color: #990000;\"><\/span><\/p>\n<p><span style=\"color: #990000;\"><\/span><\/p>\n<\/blockquote>\n<p>Der Master Mathematik vertieft Inhalte aus dem Bachelor. Ihr spezialisiert euch in mindestens einem Teilgebiet der Mathematik und erhaltet durch Seminare und fortgeschrittene Vorlesungen Einblicke in aktuelle Forschungsthemen.<\/p>\n<h3>Besonderheiten in Heidelberg<\/h3>\n<p>Das Mathematik Studium in Heidelberg ist in folgende Teilgebiete gegliedert:\u00a0<\/p>\n<ul>\n<li>Algebra und Arithmetik<\/li>\n<li>Angewandte Analysis und Modellierung<\/li>\n<li>Geometrie und Topologie<\/li>\n<li>Komplexe Analysis, automorphe Formen und Mathematische Physik<\/li>\n<li>Numerik und Optimierung<\/li>\n<li>Statistik und Wahrscheinlichkeitsrechnung\u00a0<\/li>\n<\/ul>\n<p>Besonders ausgepr\u00e4gt sind die Fachgebiete Mathematische Physik, Angewandte Analysis\/Partielle Differentialgleichungen, Geometrie sowie Numerik und Optimierung. Ebenfalls bietet das Studium viele Wahlm\u00f6glichkeiten.<\/p>\n<p>[\/et_pb_text][\/et_pb_column][et_pb_column type=&#8220;1_2&#8243; _builder_version=&#8220;4.16&#8243; custom_padding=&#8220;|||&#8220; global_colors_info=&#8220;{}&#8220; custom_padding__hover=&#8220;|||&#8220;][et_pb_image src=&#8220;https:\/\/mathphys.info\/wp-content\/uploads\/2022\/04\/undraw_quiz_re_aol4.svg&#8220; title_text=&#8220;undraw_schedule-cleanup_1xs7&#8243; show_bottom_space=&#8220;off&#8220; _builder_version=&#8220;4.17.3&#8243; _module_preset=&#8220;default&#8220; module_alignment=&#8220;center&#8220; global_colors_info=&#8220;{}&#8220;][\/et_pb_image][\/et_pb_column][\/et_pb_row][et_pb_row column_structure=&#8220;2_3,1_3&#8243; make_equal=&#8220;on&#8220; _builder_version=&#8220;4.17.2&#8243; background_size=&#8220;initial&#8220; background_position=&#8220;top_left&#8220; background_repeat=&#8220;repeat&#8220; animation_style=&#8220;slide&#8220; animation_direction=&#8220;top&#8220; animation_intensity_slide=&#8220;2%&#8220; global_colors_info=&#8220;{}&#8220;][et_pb_column type=&#8220;2_3&#8243; _builder_version=&#8220;4.16&#8243; custom_padding=&#8220;|||&#8220; global_colors_info=&#8220;{}&#8220; custom_padding__hover=&#8220;|||&#8220;][et_pb_text _builder_version=&#8220;4.17.1&#8243; _module_preset=&#8220;default&#8220; text_font=&#8220;||||||||&#8220; text_font_size=&#8220;18px&#8220; header_font=&#8220;||||||||&#8220; header_2_font=&#8220;|700|||||||&#8220; header_2_text_color=&#8220;#990000&#8243; header_2_font_size=&#8220;36px&#8220; header_2_line_height=&#8220;1.3em&#8220; header_3_font=&#8220;|700|||||||&#8220; header_3_text_color=&#8220;#990000&#8243; header_4_font=&#8220;|700|||||||&#8220; header_4_text_color=&#8220;#990000&#8243; module_alignment=&#8220;center&#8220; custom_margin=&#8220;||||false|false&#8220; custom_padding=&#8220;||||false|false&#8220; animation_direction=&#8220;bottom&#8220; text_font_size_tablet=&#8220;16px&#8220; text_font_size_phone=&#8220;14px&#8220; text_font_size_last_edited=&#8220;on|phone&#8220; quote_font_size_tablet=&#8220;&#8220; quote_font_size_phone=&#8220;14px&#8220; quote_font_size_last_edited=&#8220;on|phone&#8220; custom_css_main_element=&#8220;margin: auto;&#8220; locked=&#8220;off&#8220; global_colors_info=&#8220;{}&#8220; header_font_size__hover=&#8220;30px&#8220; header_font_size__hover_enabled=&#8220;30px&#8220; header_letter_spacing__hover=&#8220;0px&#8220; header_letter_spacing__hover_enabled=&#8220;0px&#8220; header_text_shadow_style__hover=&#8220;none&#8220; header_text_shadow_style__hover_enabled=&#8220;none&#8220; header_text_shadow_color__hover=&#8220;rgba(0,0,0,0.4)&#8220; header_text_shadow_color__hover_enabled=&#8220;rgba(0,0,0,0.4)&#8220; custom_css_main_element_last_edited=&#8220;off|desktop&#8220;]<\/p>\n<h2>Bewerbung und Vorbereitung<\/h2>\n<p>&nbsp;<\/p>\n<h3>Bewerbung<\/h3>\n<p>F\u00fcr die Zulassung in den Studiengang ben\u00f6tigst du einen 100% Bachelor in Mathematik. einen 50% Bachelor in Mathematik, wobei du deine Abschlussarbeit in Mathematik geschrieben haben muss, oder einen \u00e4quivalenten Studienabschluss. In allen F\u00e4llen ben\u00f6tigst du eine Durchschnittsnote von mindestens 2,7.\u00a0<\/p>\n<p>F\u00fcr die Bewerbung musst du folgende Dokumente einreichen:<\/p>\n<ul>\n<li>Abschlusszeugnis oder Transcript mit mindestens 150 LP deines Bachelorstudiums<\/li>\n<li>Motivationsschreiben mit tabellarischem Lebenslauf<\/li>\n<\/ul>\n<p>Die Bewerbungsfrist ist typischerweise der letzte Tag des vorherigen Semesters, also der 30.09. bzw. 31.03. Mehr Informationen findest du auf der <a href=\"https:\/\/www.uni-heidelberg.de\/de\/studium\/alle-studienfaecher\/mathematik\/mathematik-master\">Webseite des Studiengangs<\/a>.<\/p>\n<h3>Vorkurs \/ Master Induction Event<\/h3>\n<h4><\/h4>\n<p><span style=\"color: #00ff0c;\">Dies ist eine Beispiel-Seite. Sie unterscheidet sich von Beitr\u00e4gen, da sie stets an derselben Stelle bleibt und (bei den meisten Themes) in der Website-Navigation angezeigt wird. Die meisten starten mit einem Impressum, der Datenschutzerkl\u00e4rung oder einer \u201e\u00dcber uns\u201c-Seite, um sich potenziellen Besuchern der Website vorzustellen.<\/span><\/p>\n<p>[\/et_pb_text][\/et_pb_column][et_pb_column type=&#8220;1_3&#8243; _builder_version=&#8220;4.17.2&#8243; custom_padding=&#8220;|||&#8220; custom_css_main_element=&#8220;margin: auto;&#8220; global_colors_info=&#8220;{}&#8220; custom_padding__hover=&#8220;|||&#8220;][et_pb_button button_url=&#8220;https:\/\/www.uni-heidelberg.de\/de\/studium\/bewerben-einschreiben&#8220; button_text=&#8220;Bewerben&#8220; button_alignment=&#8220;left&#8220; button_alignment_tablet=&#8220;center&#8220; button_alignment_phone=&#8220;center&#8220; button_alignment_last_edited=&#8220;on|tablet&#8220; admin_label=&#8220;Button&#8220; _builder_version=&#8220;4.27.3&#8243; _module_preset=&#8220;default&#8220; custom_button=&#8220;on&#8220; button_text_color=&#8220;#FFFFFF&#8220; button_bg_color=&#8220;#990000&#8243; hover_enabled=&#8220;0&#8243; 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header_text_shadow_style__hover_enabled=&#8220;none&#8220; header_text_shadow_color__hover=&#8220;rgba(0,0,0,0.4)&#8220; header_text_shadow_color__hover_enabled=&#8220;rgba(0,0,0,0.4)&#8220; custom_css_main_element_last_edited=&#8220;off|desktop&#8220;]<\/p>\n<h2>Aufbau<\/h2>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row column_structure=&#8220;1_2,1_2&#8243; admin_label=&#8220;Zeile&#8220; _builder_version=&#8220;4.27.3&#8243; _module_preset=&#8220;default&#8220; animation_style=&#8220;slide&#8220; animation_direction=&#8220;top&#8220; animation_intensity_slide=&#8220;2%&#8220; global_colors_info=&#8220;{}&#8220;][et_pb_column type=&#8220;1_2&#8243; _builder_version=&#8220;4.17.1&#8243; _module_preset=&#8220;default&#8220; global_colors_info=&#8220;{}&#8220;][et_pb_image src=&#8220;https:\/\/mathphys.info\/wp-content\/uploads\/2026\/09\/undraw_schedule-cleanup_1xs7.svg&#8220; title_text=&#8220;undraw_schedule-cleanup_1xs7&#8243; show_bottom_space=&#8220;off&#8220; _builder_version=&#8220;4.27.3&#8243; _module_preset=&#8220;default&#8220; module_alignment=&#8220;center&#8220; min_height=&#8220;607.8px&#8220; global_colors_info=&#8220;{}&#8220; transform_styles__hover_enabled=&#8220;off|desktop&#8220; transform_scale__hover_enabled=&#8220;off|desktop&#8220; transform_translate__hover_enabled=&#8220;off|desktop&#8220; transform_rotate__hover_enabled=&#8220;off|desktop&#8220; transform_skew__hover_enabled=&#8220;off|desktop&#8220; transform_origin__hover_enabled=&#8220;off|desktop&#8220;][\/et_pb_image][\/et_pb_column][et_pb_column type=&#8220;1_2&#8243; _builder_version=&#8220;4.17.1&#8243; _module_preset=&#8220;default&#8220; global_colors_info=&#8220;{}&#8220;][et_pb_text admin_label=&#8220;Text&#8220; _builder_version=&#8220;4.27.3&#8243; _module_preset=&#8220;default&#8220; text_font_size=&#8220;18px&#8220; header_font=&#8220;||||||||&#8220; header_2_font=&#8220;|700|||||||&#8220; header_2_text_color=&#8220;#990000&#8243; header_2_font_size=&#8220;36px&#8220; header_2_line_height=&#8220;1.3em&#8220; header_3_font=&#8220;|700|||||||&#8220; header_3_text_color=&#8220;#990000&#8243; module_alignment=&#8220;center&#8220; custom_margin=&#8220;||||false|false&#8220; custom_padding=&#8220;||||false|false&#8220; animation_direction=&#8220;bottom&#8220; text_font_size_tablet=&#8220;16px&#8220; text_font_size_phone=&#8220;14px&#8220; text_font_size_last_edited=&#8220;on|phone&#8220; custom_css_main_element=&#8220;margin: auto;&#8220; locked=&#8220;off&#8220; global_colors_info=&#8220;{}&#8220; header_font_size__hover=&#8220;30px&#8220; header_font_size__hover_enabled=&#8220;30px&#8220; header_letter_spacing__hover=&#8220;0px&#8220; header_letter_spacing__hover_enabled=&#8220;0px&#8220; header_text_shadow_style__hover=&#8220;none&#8220; header_text_shadow_style__hover_enabled=&#8220;none&#8220; header_text_shadow_color__hover=&#8220;rgba(0,0,0,0.4)&#8220; header_text_shadow_color__hover_enabled=&#8220;rgba(0,0,0,0.4)&#8220; custom_css_main_element_last_edited=&#8220;off|desktop&#8220;]<\/p>\n<h3><span style=\"font-size: 22px;\">Beispielhafter Studienverlauf<\/span><\/h3>\n<p>Im Studium m\u00fcsst ihr folgende Module absolvieren:<\/p>\n<ul>\n<li>Wahl\/Wahlpflichtvorlesungen (48 LP)<\/li>\n<li>2 Seminare (je 6 LP)<\/li>\n<li>Vorlesungen im Anwendungsgebiet (16 LP)<\/li>\n<li>Fach\u00fcbergreifende Kompetenzen (6 LP)<\/li>\n<li>Masterarbeit (30 LP)<\/li>\n<li>Pr\u00e4sentation zur Masterarbeit (8 LP)<\/li>\n<\/ul>\n<p>Es wird empfohlen in den ersten 3 Semestern alle Leistungen aus die Masterarbeit und die Pr\u00e4sentation zur Masterarbeit abzulegen. Dann k\u00f6nnt ihr im besten Fall in der vorlesungsfreien Zeit des 3. Semesters und im 4. Semester die Masterarbeit mit Pr\u00e4sentation machen.<\/p>\n<p>Beachtet dass ihr jeweils eine reine und angewandte Mathematik Vorlesung bestehen m\u00fcsst. Sonst gibt es allerdings keine klassischen &#8222;Pflichtvorlesungen&#8220; und die Vorlesungen und Seminare k\u00f6nnen sehr frei gew\u00e4hlt werden. Zus\u00e4tzlich kann auf Antrag das Anwendungsgebiet durch Wahlvorlesungen ersetzt werden.<\/p>\n<p>Mehr Informationen findet ihr auf der <a href=\"https:\/\/www.uni-heidelberg.de\/de\/studium\/alle-studienfaecher\/mathematik\/mathematik-master\">Webseite zum Studiengang<\/a> und dem <a href=\"\/modulhandbucher\">Modulhandbuch<\/a>.<\/p>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=&#8220;4.27.3&#8243; background_size=&#8220;initial&#8220; background_position=&#8220;top_left&#8220; background_repeat=&#8220;repeat&#8220; min_height=&#8220;117.3px&#8220; custom_padding=&#8220;||9px|||&#8220; animation_style=&#8220;slide&#8220; animation_direction=&#8220;top&#8220; animation_intensity_slide=&#8220;2%&#8220; global_colors_info=&#8220;{}&#8220;][et_pb_column type=&#8220;4_4&#8243; _builder_version=&#8220;4.16&#8243; custom_padding=&#8220;|||&#8220; global_colors_info=&#8220;{}&#8220; custom_padding__hover=&#8220;|||&#8220;][et_pb_text admin_label=&#8220;Text&#8220; _builder_version=&#8220;4.27.3&#8243; _module_preset=&#8220;default&#8220; text_font=&#8220;||||||||&#8220; text_font_size=&#8220;18px&#8220; header_font=&#8220;||||||||&#8220; header_2_font=&#8220;|700|||||||&#8220; header_2_text_color=&#8220;#990000&#8243; header_2_font_size=&#8220;36px&#8220; header_2_line_height=&#8220;1.3em&#8220; header_3_font=&#8220;|700|||||||&#8220; header_3_text_color=&#8220;#990000&#8243; header_4_font=&#8220;|700|||||||&#8220; header_4_text_color=&#8220;#990000&#8243; module_alignment=&#8220;center&#8220; custom_margin=&#8220;||||false|false&#8220; custom_padding=&#8220;||||false|false&#8220; animation_direction=&#8220;bottom&#8220; text_font_size_tablet=&#8220;16px&#8220; text_font_size_phone=&#8220;14px&#8220; text_font_size_last_edited=&#8220;on|phone&#8220; quote_font_size_tablet=&#8220;&#8220; quote_font_size_phone=&#8220;14px&#8220; quote_font_size_last_edited=&#8220;on|phone&#8220; custom_css_main_element=&#8220;margin: auto;&#8220; locked=&#8220;off&#8220; global_colors_info=&#8220;{}&#8220; header_font_size__hover=&#8220;30px&#8220; header_font_size__hover_enabled=&#8220;30px&#8220; header_letter_spacing__hover=&#8220;0px&#8220; header_letter_spacing__hover_enabled=&#8220;0px&#8220; header_text_shadow_style__hover=&#8220;none&#8220; header_text_shadow_style__hover_enabled=&#8220;none&#8220; header_text_shadow_color__hover=&#8220;rgba(0,0,0,0.4)&#8220; header_text_shadow_color__hover_enabled=&#8220;rgba(0,0,0,0.4)&#8220; custom_css_main_element_last_edited=&#8220;off|desktop&#8220;]<\/p>\n<h3>Pr\u00fcfungsordnung, Modulhandbuch<\/h3>\n<p>Modulhandbuch und Pr\u00fcfungsordnung: <a href=\"\/modulhandbucher\">Link<\/a><\/p>\n<p>Lehrplanung der Fakult\u00e4t: <a href=\"https:\/\/www.mathinf.uni-heidelberg.de\/de\/studium\/lehrangebot\/lehrplanung-mathematik-scientific-computing\">Link<\/a>\u00a0<\/p>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Master MathematikInhalt, Keyfacts, Besonderheiten &nbsp; Kurzbeschreibung \u201eEin Mathematiker ist eine Maschine, die Kaffee in Theoreme umwandelt.\u201c &#8211; Paul Erd\u0151s Der Master Mathematik vertieft Inhalte aus dem Bachelor. Ihr spezialisiert euch in mindestens einem Teilgebiet der Mathematik und erhaltet durch Seminare und fortgeschrittene Vorlesungen Einblicke in aktuelle Forschungsthemen. Besonderheiten in Heidelberg Das Mathematik Studium in Heidelberg [&hellip;]<\/p>\n","protected":false},"author":12,"featured_media":0,"parent":492,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"class_list":["post-606","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/unshitmyfuck.mathphys.info\/home\/wp-json\/wp\/v2\/pages\/606","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/unshitmyfuck.mathphys.info\/home\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/unshitmyfuck.mathphys.info\/home\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/unshitmyfuck.mathphys.info\/home\/wp-json\/wp\/v2\/users\/12"}],"replies":[{"embeddable":true,"href":"https:\/\/unshitmyfuck.mathphys.info\/home\/wp-json\/wp\/v2\/comments?post=606"}],"version-history":[{"count":1,"href":"https:\/\/unshitmyfuck.mathphys.info\/home\/wp-json\/wp\/v2\/pages\/606\/revisions"}],"predecessor-version":[{"id":1957,"href":"https:\/\/unshitmyfuck.mathphys.info\/home\/wp-json\/wp\/v2\/pages\/606\/revisions\/1957"}],"up":[{"embeddable":true,"href":"https:\/\/unshitmyfuck.mathphys.info\/home\/wp-json\/wp\/v2\/pages\/492"}],"wp:attachment":[{"href":"https:\/\/unshitmyfuck.mathphys.info\/home\/wp-json\/wp\/v2\/media?parent=606"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}