{"id":123,"date":"2021-04-06T16:16:23","date_gmt":"2021-04-06T16:16:23","guid":{"rendered":"https:\/\/site.uvm.edu\/jxyang\/?page_id=123"},"modified":"2026-02-20T15:38:15","modified_gmt":"2026-02-20T15:38:15","slug":"research-and-teaching-grants","status":"publish","type":"page","link":"https:\/\/site.uvm.edu\/jxyang\/?page_id=123","title":{"rendered":"Research and Teaching Grants"},"content":{"rendered":"\r\n<p>&nbsp;<\/p>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\">\r\n<li>1996-1999, National Science Foundation Grant, &#8220;Study of Pulse Propagation in Birefringent Nonlinear Optical Fibers.&#8221; $60,000.<\/li>\r\n\r\n\r\n\r\n<li>1999-2002, Air Force Office of Scientific Research Grant (DEPSCoR), &#8220;Effects of Polarization-mode Dispersion on Fiber Communication Systems.&#8221; $418,139.<\/li>\r\n\r\n\r\n\r\n<li>1999-2002, National Science Foundation Grant, &#8220;Effects of Polarization-mode Dispersion on Fiber Communication Systems.&#8221; $9,060 (supplement to item 2).<\/li>\r\n\r\n\r\n\r\n<li>2002-2004, NASA EPSCoR Grant, &#8220;Light Propagation in Optically-induced Photonic Lattices&#8221;, $30,000.<\/li>\r\n\r\n\r\n\r\n<li>2003-2004, University of Vermont Instructional Incentive Grant, &#8220;Interactive Lecture Materials for Math 266 &#8212; Chaos, Fractals and Dynamical Systems&#8221;, $4,870 (co-PI: J.\u00a0 Burgmeier).<\/li>\r\n\r\n\r\n\r\n<li>2003-2006, Air Force Office of Scientific Research Grant and Contract, &#8220;Nonlinear Wave Dynamics in Physical Systems.&#8221; $132,901.<\/li>\r\n\r\n\r\n\r\n<li>2005-2008, Air Force Office of Scientific Research Grant (USAF 9550-05-1-0379, DEPSCoR), &#8220;Nonlinear Wave Motion in Physical Systems.&#8221; $548,751.<\/li>\r\n\r\n\r\n\r\n<li>2009-2011, Air Force Office of Scientific Research Grant (USAF 9550-09-1-0228), &#8220;Theory and Applications of Nonlinear Optics,&#8221; $365,814.<\/li>\r\n\r\n\r\n\r\n<li>2009-2012, National Science Foundation Grant (DMS-0908167), &#8220;Analytical and Numerical Studies of Nonlinear Light Propagation in Two-dimensional Photonic Lattices,&#8221; $176,494.<\/li>\r\n\r\n\r\n\r\n<li>2012-2017, Air Force Office of Scientific Research Grant (USAF 9550-12-1-0244), &#8220;Theory and Applications of Nonlinear Optics in Photonic Lattices and Metamaterials&#8221;, $742,307.<\/li>\r\n\r\n\r\n\r\n<li>2013-2016, National Science Foundation Grant (DMS-1311730), &#8220;Analytical Studies of Nonlinear Optics in Periodic Media&#8221;, $198,304.<\/li>\r\n\r\n\r\n\r\n<li>2016-2019, National Science Foundation Grant (DMS-1616122), &#8220;Mathematical Analysis of Nonlinear Optics in Periodic and Complex Media&#8221;, $240,000.<\/li>\r\n\r\n\r\n\r\n<li>2018-2021, Air Force Office of Scientific Research Grant (FA9550-18-1-0098), &#8220;Nonlinear Optics in Parity-time-symmetric and Quasi-parity-time-symmetric Systems&#8221;, $369,834.<\/li>\r\n\r\n\r\n\r\n<li>2019-2024, National Science Foundation Grant (DMS-1910282), &#8220;Mathematical Analysis of Novel Nonlinear Waves in Dissipative Optical Systems&#8221;, $291,627.<\/li>\r\n<li>2026,\u00a0University of Vermont AI Innovation Fund Award for the workshop \u201c<em>Math Education in the Age of AI<\/em>\u201d, $1000 (co-PIs:\u00a0 C. Giles and H. Read).<\/li>\r\n<\/ol>\r\n","protected":false},"excerpt":{"rendered":"<p>&nbsp;<\/p>\n","protected":false},"author":6558,"featured_media":0,"parent":17,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-123","page","type-page","status-publish","hentry","entry"],"featured_image_src":null,"featured_image_src_square":null,"_links":{"self":[{"href":"https:\/\/site.uvm.edu\/jxyang\/index.php?rest_route=\/wp\/v2\/pages\/123","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/site.uvm.edu\/jxyang\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/site.uvm.edu\/jxyang\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/site.uvm.edu\/jxyang\/index.php?rest_route=\/wp\/v2\/users\/6558"}],"replies":[{"embeddable":true,"href":"https:\/\/site.uvm.edu\/jxyang\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=123"}],"version-history":[{"count":6,"href":"https:\/\/site.uvm.edu\/jxyang\/index.php?rest_route=\/wp\/v2\/pages\/123\/revisions"}],"predecessor-version":[{"id":725,"href":"https:\/\/site.uvm.edu\/jxyang\/index.php?rest_route=\/wp\/v2\/pages\/123\/revisions\/725"}],"up":[{"embeddable":true,"href":"https:\/\/site.uvm.edu\/jxyang\/index.php?rest_route=\/wp\/v2\/pages\/17"}],"wp:attachment":[{"href":"https:\/\/site.uvm.edu\/jxyang\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=123"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}