{"id":16539,"date":"2020-01-15T09:55:29","date_gmt":"2020-01-15T09:55:29","guid":{"rendered":"http:\/\/www.uwb.edu\/?p=16539"},"modified":"2023-06-08T18:27:14","modified_gmt":"2023-06-08T18:27:14","slug":"paparella-math-research","status":"publish","type":"post","link":"https:\/\/www.uwb.edu\/news\/2020\/01\/15\/paparella-math-research","title":{"rendered":"Engaging undergraduates in math research"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"\/wp-content\/uploads\/pietro-paparella.jpg\" alt=\"Pietro Paparella\" class=\"wp-image-28424\"\/><figcaption class=\"wp-element-caption\">Pietro Paparella \/ UW Bothell<\/figcaption><\/figure>\n\n\n\n<p>Pietro Paparella, an assistant professor in University of Washington Bothell\u2019s <a href=\"\/engineering-math\">School of STEM<\/a>, will tell you he teaches advanced courses in mathematics.<\/p>\n\n\n\n<p>And, he studies theoretical aspects of non-negative matrices. <\/p>\n\n\n\n<p>At this point, non-mathematician listeners might apologetically acknowledge their ignorance and lose interest until, perhaps, Paparella says, \u201cOne could argue that non-negative matrices have produced the most lucrative application of mathematics.<\/p>\n\n\n\n<p>\u201cGoogle was pretty much built on an application of non-negative matrices. 足彩app哪个是正规的 way that websites are ranked \u2014 at least when Google was started \u2014 the ranking algorithm relied on theoretical properties of non-negative matrices,\u201d Paparella said.  <\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Applied mathematics <\/h2>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"\/wp-content\/uploads\/pietro-image.jpg\" alt=\"Research diagram\" class=\"wp-image-28425\"\/><figcaption class=\"wp-element-caption\">Research diagram \/ Pietro Paparella<\/figcaption><\/figure>\n\n\n\n<p>While Google is the most high-profile use of non-negative matrices, they also arise in economics, population models, ranking systems and recommender systems, he said.<\/p>\n\n\n\n<p>Paparella is interested in theoretical aspects of non-negative matrices, particularly a class represented by a famous problem known as the Perfect-Mirsky Conjecture. <\/p>\n\n\n\n<p>Unless it helps explain a concept, it rarely comes up in the courses that Paparella has been teaching since 2015 at UW Bothell: abstract algebra, advanced linear algebra, complex analysis and real analysis.<\/p>\n\n\n\n<p>Last summer, however, Paparella had the chance to lead four UW Bothell math undergraduates into an inquiry of the Perfect-Mirsky Conjecture. Funding for the project, \u201cNovel directions in nonnegative matrices and matrix analysis,\u201d and for the student workers came from a $40,000 grant by the <a href=\"https:\/\/www.washington.edu\/research\/or\/royalty-research-fund-rrf\/\">UW Royalty Research Fund<\/a>. <\/p>\n\n\n\n<p>足彩app哪个是正规的 research then led to a paper that has been accepted by a journal and another paper he\u2019s working on, Paparella said. <\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Undergraduate student research <\/h2>\n\n\n\n<p>More significant was the student participation, he said. <\/p>\n\n\n\n<p>\u201cAs faculty at UW Bothell, we\u2019re always including undergraduates in our research,\u201d Paparella said. <\/p>\n\n\n\n<p>足彩app哪个是正规的 Royalty Research Fund is financed by royalties and licensing income generated by the university\u2019s technology transfer program. 足彩app哪个是正规的 fund was initiated to provide one quarter of release time for faculty with full teaching loads. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Pietro Paparella, an assistant professor of mathematics, studies theoretical aspects of non-negative matrices, which found one profitable application when Google started ranking websites. <\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_is_archived":false,"_archived_contact_email":"","footnotes":""},"categories":[202,229,214],"tags":[311,268],"school":[421],"class_list":["post-16539","post","type-post","status-publish","format-standard","hentry","category-campus-news","category-faculty","category-research","tag-mathematics","tag-research","school-school-of-stem"],"acf":{"related_links":{"toggle_visibility":false,"link_1":null,"link_2":null,"link_3":null,"link_4":null,"link_5":null},"highlight_box":{"toggle_visibility":false,"title":"","content":"","button":null,"button_style":"angled-purple-button","button_screen_reader_text":""},"contact_type_1":{"toggle_visibility":true,"contact_title":"","email":"","phone":"","box":"","address_line_1":"","address_line_2":"","location":""},"contact_type_2":{"toggle_visibility":false,"contact_title":"","email":"","phone":"","box":"","address_line_1":"","address_line_2":"","location":""},"social_media":{"toggle_visibility":false,"facebook_url":"","instagram_url":"","linkedin_url":"","twitter_url":"","youtube_url":""},"blog_archive_sidebar_visibility":false},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.0 - 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