{"id":14024,"date":"2024-02-05T10:08:08","date_gmt":"2024-02-05T16:08:08","guid":{"rendered":"https:\/\/uwm.edu\/math\/?post_type=tribe_events&p=14024"},"modified":"2024-02-05T10:09:35","modified_gmt":"2024-02-05T16:09:35","slug":"graduate-student-colloquium-mrs-kelsey-brouwer","status":"publish","type":"tribe_events","link":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-mrs-kelsey-brouwer\/","title":{"rendered":"Graduate Student Colloquium: Mrs. Kelsey Brouwer"},"content":{"rendered":"

\"\"<\/h1>\n

Julia Sets in Parameter Space for the Generalized McMullen Map<\/h1>\n

Mrs. Kelsey Brouwer
\nPhD Student<\/em>
\nUniversity of Wisconsin \u2013 Milwaukee<\/p>\n

We will begin by introducing the field of complex dynamics and explaining the two types of pictures that dynamicists are interested in, namely Julia sets and parameter spaces. Next, we’ll introduce the generalized McMullen map and share some results about its Julia sets and parameter spaces. Finally, we will demonstrate an interesting connection between McMullen parameter space and quadratic Julia sets and discuss some potential techniques for explaining and documenting this phenomenon. A software demonstration may follow.<\/p>\n","protected":false},"excerpt":{"rendered":"

Julia Sets in Parameter Space for the Generalized McMullen Map Mrs. Kelsey Brouwer PhD Student University of Wisconsin \u2013 Milwaukee We will begin by introducing the field of complex dynamics and explaining the two types of pictures that dynamicists are …<\/p>\n","protected":false},"author":4217,"featured_media":0,"template":"","meta":{"_acf_changed":false,"_tribe_events_status":"","_tribe_events_status_reason":"","_tribe_events_is_hybrid":"","_tribe_events_is_virtual":"","_tribe_events_virtual_video_source":"","_tribe_events_virtual_embed_video":"","_tribe_events_virtual_linked_button_text":"","_tribe_events_virtual_linked_button":"","_tribe_events_virtual_show_embed_at":"","_tribe_events_virtual_show_embed_to":[],"_tribe_events_virtual_show_on_event":"","_tribe_events_virtual_show_on_views":"","_tribe_events_virtual_url":"","footnotes":"","uwm_wg_additional_authors":[]},"tags":[],"tribe_events_cat":[70],"class_list":["post-14024","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-graduate-student-colloquia","cat_graduate-student-colloquia"],"yoast_head":"\nMathematical Sciences<\/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:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-mrs-kelsey-brouwer\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Graduate Student Colloquium: Mrs. Kelsey Brouwer\" \/>\n<meta property=\"og:description\" content=\"Julia Sets in Parameter Space for the Generalized McMullen Map Mrs. Kelsey Brouwer PhD Student University of Wisconsin \u2013 Milwaukee We will begin by introducing the field of complex dynamics and explaining the two types of pictures that dynamicists are …\" \/>\n<meta property=\"og:url\" content=\"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-mrs-kelsey-brouwer\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathematical Sciences\" \/>\n<meta property=\"article:modified_time\" content=\"2024-02-05T16:09:35+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2024\/02\/BANNER_BROUWER-1.jpg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/event\\\/graduate-student-colloquium-mrs-kelsey-brouwer\\\/\",\"url\":\"https:\\\/\\\/uwm.edu\\\/math\\\/event\\\/graduate-student-colloquium-mrs-kelsey-brouwer\\\/\",\"name\":\"Graduate Student Colloquium: Mrs. Kelsey Brouwer - Mathematical Sciences\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/event\\\/graduate-student-colloquium-mrs-kelsey-brouwer\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/event\\\/graduate-student-colloquium-mrs-kelsey-brouwer\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/uwm.edu\\\/math\\\/wp-content\\\/uploads\\\/sites\\\/112\\\/2024\\\/02\\\/BANNER_BROUWER-1.jpg\",\"datePublished\":\"2024-02-05T16:08:08+00:00\",\"dateModified\":\"2024-02-05T16:09:35+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/event\\\/graduate-student-colloquium-mrs-kelsey-brouwer\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/uwm.edu\\\/math\\\/event\\\/graduate-student-colloquium-mrs-kelsey-brouwer\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/event\\\/graduate-student-colloquium-mrs-kelsey-brouwer\\\/#primaryimage\",\"url\":\"https:\\\/\\\/uwm.edu\\\/math\\\/wp-content\\\/uploads\\\/sites\\\/112\\\/2024\\\/02\\\/BANNER_BROUWER-1.jpg\",\"contentUrl\":\"https:\\\/\\\/uwm.edu\\\/math\\\/wp-content\\\/uploads\\\/sites\\\/112\\\/2024\\\/02\\\/BANNER_BROUWER-1.jpg\",\"width\":492,\"height\":252},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/event\\\/graduate-student-colloquium-mrs-kelsey-brouwer\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\",\"item\":\"https:\\\/\\\/uwm.edu\\\/math\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Events\",\"item\":\"https:\\\/\\\/uwm.edu\\\/math\\\/events\\\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Graduate Student Colloquia\",\"item\":\"https:\\\/\\\/uwm.edu\\\/math\\\/events\\\/category\\\/graduate-student-colloquia\\\/\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"Graduate Student Colloquium: Mrs. Kelsey Brouwer\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/#website\",\"url\":\"https:\\\/\\\/uwm.edu\\\/math\\\/\",\"name\":\"Mathematical Sciences\",\"description\":\"UW-Milwaukee\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/uwm.edu\\\/math\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Mathematical Sciences","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:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-mrs-kelsey-brouwer\/","og_locale":"en_US","og_type":"article","og_title":"Graduate Student Colloquium: Mrs. Kelsey Brouwer","og_description":"Julia Sets in Parameter Space for the Generalized McMullen Map Mrs. Kelsey Brouwer PhD Student University of Wisconsin \u2013 Milwaukee We will begin by introducing the field of complex dynamics and explaining the two types of pictures that dynamicists are …","og_url":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-mrs-kelsey-brouwer\/","og_site_name":"Mathematical Sciences","article_modified_time":"2024-02-05T16:09:35+00:00","og_image":[{"url":"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2024\/02\/BANNER_BROUWER-1.jpg","type":"","width":"","height":""}],"twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-mrs-kelsey-brouwer\/","url":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-mrs-kelsey-brouwer\/","name":"Graduate Student Colloquium: Mrs. Kelsey Brouwer - Mathematical Sciences","isPartOf":{"@id":"https:\/\/uwm.edu\/math\/#website"},"primaryImageOfPage":{"@id":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-mrs-kelsey-brouwer\/#primaryimage"},"image":{"@id":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-mrs-kelsey-brouwer\/#primaryimage"},"thumbnailUrl":"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2024\/02\/BANNER_BROUWER-1.jpg","datePublished":"2024-02-05T16:08:08+00:00","dateModified":"2024-02-05T16:09:35+00:00","breadcrumb":{"@id":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-mrs-kelsey-brouwer\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-mrs-kelsey-brouwer\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-mrs-kelsey-brouwer\/#primaryimage","url":"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2024\/02\/BANNER_BROUWER-1.jpg","contentUrl":"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2024\/02\/BANNER_BROUWER-1.jpg","width":492,"height":252},{"@type":"BreadcrumbList","@id":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-mrs-kelsey-brouwer\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"","item":"https:\/\/uwm.edu\/math\/"},{"@type":"ListItem","position":2,"name":"Events","item":"https:\/\/uwm.edu\/math\/events\/"},{"@type":"ListItem","position":3,"name":"Graduate Student Colloquia","item":"https:\/\/uwm.edu\/math\/events\/category\/graduate-student-colloquia\/"},{"@type":"ListItem","position":4,"name":"Graduate Student Colloquium: Mrs. Kelsey Brouwer"}]},{"@type":"WebSite","@id":"https:\/\/uwm.edu\/math\/#website","url":"https:\/\/uwm.edu\/math\/","name":"Mathematical Sciences","description":"UW-Milwaukee","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/uwm.edu\/math\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"acf":[],"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/tribe_events\/14024","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/tribe_events"}],"about":[{"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/types\/tribe_events"}],"author":[{"embeddable":true,"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/users\/4217"}],"version-history":[{"count":4,"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/tribe_events\/14024\/revisions"}],"predecessor-version":[{"id":14030,"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/tribe_events\/14024\/revisions\/14030"}],"wp:attachment":[{"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/media?parent=14024"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/tags?post=14024"},{"taxonomy":"tribe_events_cat","embeddable":true,"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/tribe_events_cat?post=14024"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}