{"id":15693,"date":"2023-06-21T14:20:01","date_gmt":"2023-06-21T21:20:01","guid":{"rendered":"https:\/\/dornsife.usc.edu\/news\/?p=15693"},"modified":"2023-06-21T14:20:02","modified_gmt":"2023-06-21T21:20:02","slug":"math-maestro-tackles-natures-greatest-puzzles","status":"publish","type":"post","link":"https:\/\/dornsife.usc.edu\/news\/stories\/math-maestro-tackles-natures-greatest-puzzles\/","title":{"rendered":"Mathematical maestro tackles nature\u2019s greatest puzzles"},"content":{"rendered":"\n\n\n    \n                                          \n\n  \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--article-hero \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--article-hero\"\n    \n      >\n\n    \n<div class=\"inner-wrapper\">\n          \n<div class=\"f--field f--image\">\n\n    \n    \n    \n    \n    \n    \n              \n      <img\n                            data-src=\"https:\/\/dornsife.usc.edu\/news\/wp-content\/uploads\/sites\/7\/2023\/06\/yudeng_profile_top-768x432.png\"\n          data-srcset=\"https:\/\/dornsife.usc.edu\/news\/wp-content\/uploads\/sites\/7\/2023\/06\/yudeng_profile_top-1920x1080.png 1920w,https:\/\/dornsife.usc.edu\/news\/wp-content\/uploads\/sites\/7\/2023\/06\/yudeng_profile_top-1280x720.png 1280w,https:\/\/dornsife.usc.edu\/news\/wp-content\/uploads\/sites\/7\/2023\/06\/yudeng_profile_top-768x432.png 768w\"          data-sizes=\"(min-width:1200px) 75vw, (min-width:768px) 83vw, 100vw\"          class=\"lazyload\"\n        \n                  role=\"none\"\n        \n        \n                                      \/>\n\n    \n    \n  \n  \n\n<\/div>\n  \n      <div class=\"image-caption\">\n          \n<div class=\"f--field f--description\">\n\n    \n  The board game Go is one of many interests captivating USC Dornsife mathematician Yu Deng. (Photo: Unsplash\/Elena Popova.)\n\n\n<\/div>\n    <\/div>\n  \n  <div class=\"text-wrapper\">\n          <nav aria-label=\"Breadcrumb\" class=\"breadcrumbs\">\n        <ul>\n                      <li><a href=\"\/news\/stories\/\">News<\/a><\/li>\n                      <li><a href=\"\/news\/stories\/\/?category=faculty\">Faculty<\/a><\/li>\n                  <\/ul>\n      <\/nav>\n    \n              \n<div class=\"f--field f--page-title\">\n\n    \n  <h1>Mathematical maestro tackles nature\u2019s greatest puzzles<\/h1>\n\n\n<\/div>\n    \n          <div class=\"subtitle\">\n            \n<div class=\"f--field f--description\">\n\n    \n  From math Olympiad to USC Dornsife, a glimpse into Professor Yu Deng\u2019s world of puzzles.\n\n\n<\/div>\n      <\/div>\n    \n    \n          <span class=\"post-date-field\">June 21, 2023<\/span>\n      <\/div>\n<\/div>\n\n\n  <\/div><\/div>\n\n  \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--social-share \"\n\n  \n  \n  \n  \n  \n 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0l7.2857142-6.34285719c-.0857142-.08571428-.2571428-.08571428-.4285714-.08571428zm-1.28571428 1.11428567v.1714286 8.5714286c0 .6857143.6 1.2857143 1.28571428 1.2857143h14.57142856c.6857143 0 1.2857143-.6 1.2857143-1.2857143v-8.5714286c0-.0857143 0-.0857143 0-.1714286l-7.2 6.3428572c-.7714286.6857143-1.8857143.6857143-2.6571429 0z\" fill-rule=\"evenodd\" transform=\"translate(-6 -9)\"\/><\/svg>\n            <\/span>\n            <span class=\"a2a_label visually-hidden\">Email<\/span>\n          <\/a>\n                  <\/span>\n  <\/div>\n\n  <\/div><\/div>\n \n\n\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>For many scholars in the field, mathematics is an eternal dance between simplicity and complexity. Yu Deng, assistant professor of <a href=\"https:\/\/dornsife.usc.edu\/mathematics\/\">mathematics<\/a> at the USC Dornsife College of Letters, Arts and Sciences, has followed the rhythms of this dance to tackle some of nature\u2019s most profound puzzles through his work on partial differential equations (PDEs).<\/p>\n<figure id=\"attachment_15694\" aria-describedby=\"caption-attachment-15694\" style=\"width: 315px\" class=\"wp-caption alignright\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-15694\" src=\"https:\/\/dornsife.usc.edu\/news\/wp-content\/uploads\/sites\/7\/2023\/06\/yudeng_profile_instorya.png\" alt=\"\" width=\"315\" height=\"490\" \/><figcaption id=\"caption-attachment-15694\" class=\"wp-caption-text\">Yu Deng is assistant professor of mathematics at USC Dornsife.<\/figcaption><\/figure>\n<p>Deng\u2019s research \u2014 and the promise of more \u2014 earned him a Sloan Research Fellowship in 2021. But it\u2019s the enigmatic beauty and challenge of PDEs that drive him forward.<\/p>\n<p>PDEs express relationships between changes in multiple variables and can be notoriously challenging to solve. Despite \u2014 or perhaps because of \u2014 this difficulty, Deng is drawn to their power and potential.<\/p>\n<p>\u201cThe equations themselves can be very abstract,\u201d he explains, \u201cbut even when reaching an explicit formula is impossible, you can still tell a lot about the solution.\u201d<\/p>\n<p>Deng\u2019s fascination with PDEs extends beyond their mathematical appeal. They underlie key scientific concepts, such as the Einstein field equations that define space-time and the Schr\u00f6dinger equation that characterizes quantum interactions between subatomic particles.<\/p>\n<p>\u201cPDEs let us look at certain deep science questions,\u201d Deng says. \u201cSome of these questions are hard to attack directly, but many of them make for beautiful math.\u201d<\/p>\n<p>Growing up in Shenzhen, China, Deng\u2019s love for mathematics was nurtured through competition. He excelled in math contests from primary school and eventually represented China in the 2006 <a href=\"https:\/\/imo2023.jp\/en\/\" target=\"_blank\">International Math Olympiad<\/a>, where he won a gold medal. This success set the stage for his future career.<\/p>\n<p>Alongside his mathematical pursuits, Deng\u2019s parents introduced him to Go, an ancient game of strategy played with black and white stones placed at the intersections of a gridded gameboard.<\/p>\n<p>Intrigued by its blend of simplicity and complexity, Deng honed his skills to the point where he could compete against adults in after-hours amateur tournaments.<\/p>\n<p>\u201cMy childhood was school and Go training,\u201d he said. \u201cI remember going to competitions late at night. Then, back to school the next day, followed by another competition the next night.\u201d<\/p>\n<p>Although he considered pursuing a professional Go career, his achievements in math steered him toward academia.<\/p>\n<p>Today, Deng\u2019s passion for the interplay of simplicity and complexity extends to interests such as soccer, manga and poetry. He is particularly captivated by a poem, written by ninth-century Chinese polymath Li Shangyin that, like the PDEs he studies, offers enigmatic beauty that eludes easy interpretation.<\/p>\n<p>As Deng continues to push the boundaries of mathematical knowledge, he remains captivated by the mysteries of PDEs.<\/p>\n<p>\u201cWe know so much about partial differential equations, and we also know so little,\u201d he muses. \u201cIt\u2019s a fascinating question: To what extent will we ever understand PDEs?\u201d<\/p>\n<p>For Deng, the pursuit of these enigmatic mathematical puzzles is both a challenge and a source of unending beauty.<\/p>\n\n\n\n<\/div>\n\n\n  <\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>From math Olympiad to USC Dornsife, a glimpse into Professor Yu Deng\u2019s world of puzzles.<\/p>\n","protected":false},"author":13,"featured_media":15695,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[10,16],"tags":[94,96],"class_list":["post-15693","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-faculty","category-science-and-technology","tag-mathematics","tag-natural-sciences"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Mathematical maestro tackles nature\u2019s greatest puzzles<\/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\/news\/stories\/math-maestro-tackles-natures-greatest-puzzles\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" 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