{"id":288,"date":"2023-06-21T11:59:53","date_gmt":"2023-06-21T18:59:53","guid":{"rendered":"https:\/\/live-usc-dornsife.pantheonsite.io\/francis-bonahon\/?page_id=288"},"modified":"2023-06-22T12:29:34","modified_gmt":"2023-06-22T19:29:34","slug":"research","status":"publish","type":"page","link":"https:\/\/dornsife.usc.edu\/francis-bonahon\/research\/","title":{"rendered":"Research"},"content":{"rendered":"\n\n  \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--rich-text \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--rich-text\"\n    \n      >\n\n    \n      \n<div class=\"f--field f--wysiwyg\">\n\n    \n  <p>My research is in the area of topology and geometry, with an emphasis on spaces of dimension 2 and 3. This has included hyperbolic geometry in the past 20 years, but I have more recently moved to the field of quantum topology (and algebra).\u00a0 This work has been funded by the\u00a0<a href=\"http:\/\/www.nsf.gov\/\">National Science Foundation<\/a>\u00a0(and a few others) since 1987.<\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li><a href=\"\/francis-bonahon\/francis-bonahon-list-of-publications\/\">List of publications<\/a><\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet\/search\/author.html?mrauthid=39080\" target=\"_blank\" rel=\"noopener\">My profile on MathSciNet<\/a>\u00a0(requires you or your institution to have a MathSciNet license)<\/li>\n<li><a title=\"Goggle Scholar profile of Francis Bonahon\" href=\"https:\/\/scholar.google.com\/citations?user=-84OgWkAAAAJ&amp;hl=en\" target=\"_self\">My profile on Google Scholar<\/a><\/li>\n<li><a href=\"\/francis-bonahon\/preprints-available\/\" target=\"_self\">Some preprints and other mathematical writing<br \/>\n<\/a><\/li>\n<li><a href=\"\/francis-bonahon\/former-and-current-graduate-students\/\" target=\"_self\">Former and current graduate students<\/a><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n\n\n\n<\/div>\n\n\n  <\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":370,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-288","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Research - Francis Bonahon<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/dornsife.usc.edu\/francis-bonahon\/research\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Research - Francis Bonahon\" \/>\n<meta property=\"og:url\" content=\"https:\/\/dornsife.usc.edu\/francis-bonahon\/research\/\" \/>\n<meta property=\"og:site_name\" content=\"Francis Bonahon\" \/>\n<meta property=\"article:modified_time\" content=\"2023-06-22T19:29:34+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/dornsife.usc.edu\/francis-bonahon\/research\/\",\"url\":\"https:\/\/dornsife.usc.edu\/francis-bonahon\/research\/\",\"name\":\"Research - Francis Bonahon\",\"isPartOf\":{\"@id\":\"https:\/\/dornsife.usc.edu\/francis-bonahon\/#website\"},\"datePublished\":\"2023-06-21T18:59:53+00:00\",\"dateModified\":\"2023-06-22T19:29:34+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/dornsife.usc.edu\/francis-bonahon\/research\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/dornsife.usc.edu\/francis-bonahon\/research\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/dornsife.usc.edu\/francis-bonahon\/research\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/dornsife.usc.edu\/francis-bonahon\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Research\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/dornsife.usc.edu\/francis-bonahon\/#website\",\"url\":\"https:\/\/dornsife.usc.edu\/francis-bonahon\/\",\"name\":\"Francis Bonahon\",\"description\":\"USC Dornsife Francis Bonahon\",\"publisher\":{\"@id\":\"https:\/\/dornsife.usc.edu\/francis-bonahon\/#\/schema\/person\/9cc6b28b9d109ebf21b69fc33a414981\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/dornsife.usc.edu\/francis-bonahon\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":[\"Person\",\"Organization\"],\"@id\":\"https:\/\/dornsife.usc.edu\/francis-bonahon\/#\/schema\/person\/9cc6b28b9d109ebf21b69fc33a414981\",\"name\":\"Francis Bonahon\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/dornsife.usc.edu\/francis-bonahon\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/c12e438b8e714774fb8762301f08008caf5ba80185b9a5ed49786243cb4f7483?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/c12e438b8e714774fb8762301f08008caf5ba80185b9a5ed49786243cb4f7483?s=96&d=mm&r=g\",\"caption\":\"Francis Bonahon\"},\"logo\":{\"@id\":\"https:\/\/dornsife.usc.edu\/francis-bonahon\/#\/schema\/person\/image\/\"},\"description\":\"Francis Bonahon is a Professor of Mathematics Emeritus at the University of Southern California, and an Adjunct Professor of Mathematics at Michigan State University.\",\"sameAs\":[\"https:\/\/dornsife.usc.edu\/francis-bonahon\/\",\"https:\/\/en.wikipedia.org\/wiki\/Francis_Bonahon\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Research - Francis Bonahon","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/dornsife.usc.edu\/francis-bonahon\/research\/","og_locale":"en_US","og_type":"article","og_title":"Research - Francis Bonahon","og_url":"https:\/\/dornsife.usc.edu\/francis-bonahon\/research\/","og_site_name":"Francis Bonahon","article_modified_time":"2023-06-22T19:29:34+00:00","twitter_card":"summary_large_image","schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/dornsife.usc.edu\/francis-bonahon\/research\/","url":"https:\/\/dornsife.usc.edu\/francis-bonahon\/research\/","name":"Research - Francis Bonahon","isPartOf":{"@id":"https:\/\/dornsife.usc.edu\/francis-bonahon\/#website"},"datePublished":"2023-06-21T18:59:53+00:00","dateModified":"2023-06-22T19:29:34+00:00","breadcrumb":{"@id":"https:\/\/dornsife.usc.edu\/francis-bonahon\/research\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/dornsife.usc.edu\/francis-bonahon\/research\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/dornsife.usc.edu\/francis-bonahon\/research\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/dornsife.usc.edu\/francis-bonahon\/"},{"@type":"ListItem","position":2,"name":"Research"}]},{"@type":"WebSite","@id":"https:\/\/dornsife.usc.edu\/francis-bonahon\/#website","url":"https:\/\/dornsife.usc.edu\/francis-bonahon\/","name":"Francis Bonahon","description":"USC Dornsife Francis Bonahon","publisher":{"@id":"https:\/\/dornsife.usc.edu\/francis-bonahon\/#\/schema\/person\/9cc6b28b9d109ebf21b69fc33a414981"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/dornsife.usc.edu\/francis-bonahon\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":["Person","Organization"],"@id":"https:\/\/dornsife.usc.edu\/francis-bonahon\/#\/schema\/person\/9cc6b28b9d109ebf21b69fc33a414981","name":"Francis Bonahon","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/dornsife.usc.edu\/francis-bonahon\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/c12e438b8e714774fb8762301f08008caf5ba80185b9a5ed49786243cb4f7483?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/c12e438b8e714774fb8762301f08008caf5ba80185b9a5ed49786243cb4f7483?s=96&d=mm&r=g","caption":"Francis Bonahon"},"logo":{"@id":"https:\/\/dornsife.usc.edu\/francis-bonahon\/#\/schema\/person\/image\/"},"description":"Francis Bonahon is a Professor of Mathematics Emeritus at the University of Southern California, and an Adjunct Professor of Mathematics at Michigan State University.","sameAs":["https:\/\/dornsife.usc.edu\/francis-bonahon\/","https:\/\/en.wikipedia.org\/wiki\/Francis_Bonahon"]}]}},"_links":{"self":[{"href":"https:\/\/dornsife.usc.edu\/francis-bonahon\/wp-json\/wp\/v2\/pages\/288","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dornsife.usc.edu\/francis-bonahon\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/dornsife.usc.edu\/francis-bonahon\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/dornsife.usc.edu\/francis-bonahon\/wp-json\/wp\/v2\/users\/370"}],"replies":[{"embeddable":true,"href":"https:\/\/dornsife.usc.edu\/francis-bonahon\/wp-json\/wp\/v2\/comments?post=288"}],"version-history":[{"count":4,"href":"https:\/\/dornsife.usc.edu\/francis-bonahon\/wp-json\/wp\/v2\/pages\/288\/revisions"}],"predecessor-version":[{"id":344,"href":"https:\/\/dornsife.usc.edu\/francis-bonahon\/wp-json\/wp\/v2\/pages\/288\/revisions\/344"}],"wp:attachment":[{"href":"https:\/\/dornsife.usc.edu\/francis-bonahon\/wp-json\/wp\/v2\/media?parent=288"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}