{"id":7211,"date":"2025-01-16T13:05:17","date_gmt":"2025-01-16T18:05:17","guid":{"rendered":"https:\/\/sciences.ucf.edu\/math\/?page_id=7211"},"modified":"2025-12-03T16:20:34","modified_gmt":"2025-12-03T21:20:34","slug":"research","status":"publish","type":"page","link":"https:\/\/sciences.ucf.edu\/math\/research\/","title":{"rendered":"Research"},"content":{"rendered":"<h2>Research Groups<\/h2>\n<details>\n<summary><strong><span style=\"font-size: x-large\">Algebra and Number Theory<\/span><\/strong><\/summary>\n<hr \/>\n<p><span style=\"font-size: large\">J. Brennan, W. Ghantous, and H. Martin<\/span><\/p>\n<\/details>\n<details>\n<summary><strong><span style=\"font-size: x-large\">Analysis<\/span><\/strong><\/summary>\n<hr \/>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li><strong><span style=\"font-size: x-large\">Classical Analysis and Approximation Theory<\/span><\/strong><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><span style=\"font-size: large\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 R. Jenkins, R. Mohapatra, Q. Sun, X. Li, and A. Lopez-Garc\u00eda<\/span><\/p>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li><strong><span style=\"font-size: x-large\">Functional Analysis<\/span><\/strong><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><span style=\"font-size: large\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 D. Dutkay and D. Han<\/span><\/p>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li><strong><span style=\"font-size: x-large\">Harmonic Analysis<\/span><\/strong><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><span style=\"font-size: large\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 D. Dutkay, D. Han, and Q. Sun<\/span><\/p>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li><strong><span style=\"font-size: x-large\">Orthogonal Polynomials and Special Functions<\/span><\/strong><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><span style=\"font-size: large\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 R. Jenkins and A. Lopez-Garc\u00eda<\/span><\/p>\n<\/details>\n<details>\n<summary><strong><span style=\"font-size: x-large\">Applied Mathematics<\/span><\/strong><\/summary>\n<hr \/>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li><strong><span style=\"font-size: x-large\">Dynamical Systems<\/span><\/strong><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><span style=\"font-size: large\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 S. Choudhury,\u00a0 D. Dutkay,\u00a0 R. Jenkins, A. Nevai,\u00a0 C. Schober,\u00a0 B. Shivamoggi,\u00a0 Z. Shuai, and A. Tovbis<\/span><\/p>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li><strong><span style=\"font-size: x-large\">Inverse Problems<\/span><\/strong><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><span style=\"font-size: large\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 C. Borges, A. Katsevich, Q. Sun, A. Tamasan, and T. Zhang<\/span><\/p>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li><strong><span style=\"font-size: x-large\">Mathematical Biology<\/span><\/strong><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><span style=\"font-size: large\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 A. Nevai, Y. Qi, and Z. Shuai<\/span><\/p>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li><strong><span style=\"font-size: x-large\">Mathematical Physics<\/span><\/strong><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><span style=\"font-size: large\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 R. Jenkins and B. Shivamoggi<\/span><\/p>\n<\/details>\n<details>\n<summary><strong><span style=\"font-size: x-large\">Combinatorics and Graph Theory<\/span><\/strong><\/summary>\n<hr \/>\n<p><span style=\"font-size: large\">\u00a0 Z. Song and N. Zhao<\/span><\/p>\n<\/details>\n<details>\n<summary><strong><span style=\"font-size: x-large\">Computational Mathematics<\/span><\/strong><\/summary>\n<hr \/>\n<p><span style=\"font-size: large\">C. Borges, A. Dutta, Y. Li, C. Schober, K. Vajravelu, G. Welper, and T. Zhang<\/span><\/p>\n<\/details>\n<details>\n<summary><strong><span style=\"font-size: x-large\">Geometry and Topology<\/span><\/strong><\/summary>\n<hr \/>\n<p><span style=\"font-size: large\">J. Brennan,\u00a0 B. Gurel, J. Lee, and H. Martin<\/span><\/p>\n<\/details>\n<details>\n<summary><strong><span style=\"font-size: x-large\">Machine Learning<\/span><\/strong><\/summary>\n<hr \/>\n<p><span style=\"font-size: large\">C. Borges, A. Dutta, Q. Sun, and G. Welper<\/span><\/p>\n<\/details>\n<details>\n<summary><strong><span style=\"font-size: x-large\">Mathematical Finance<\/span><\/strong><\/summary>\n<hr \/>\n<p><span style=\"font-size: large\">C. Keller, Y. Li, J. Swanson, and J. Yong<\/span><\/p>\n<\/details>\n<details>\n<summary><strong><span style=\"font-size: x-large\">Mathematical Logic and Foundations<\/span><\/strong><\/summary>\n<hr \/>\n<p><span style=\"font-size: large\">J. Swanson<\/span><\/p>\n<\/details>\n<details>\n<summary><strong><span style=\"font-size: x-large\">Partial Differential Equations<\/span><\/strong><\/summary>\n<hr \/>\n<p><span style=\"font-size: large\">S. Choudhury, R. Jenkins, A. Nevai, Y. Qi, C. Schober, B. Shivamoggi, J. Swanson, A. Tovbis, K. Vajravelu, and J. Yong<\/span><\/p>\n<\/details>\n<details>\n<summary><strong><span style=\"font-size: x-large\">Probability and Statistics<\/span><\/strong><\/summary>\n<hr \/>\n<p><span style=\"font-size: large\">A. Katsevich, C. Keller, A. Lopez-Garc\u00eda, M. Pensky,\u00a0 G. Richardson,\u00a0 J. Swanson, J. Yong, and T. Zhang<\/span><\/p>\n<\/details>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h2>RESEARCH SEMINAR<\/h2>\n<p class=\"lead\">UCF Mathematics has regularly hosted research and learning seminars on various areas of mathematics and applications. This semester the following seminars are held weekly.<\/p>\n<ul>\n<li>Algebra Seminar (Thursdays, 11:00am-12:00pm, MSB 318)<\/li>\n<li>Analysis Seminar (Fridays, 12pm-1pm, <a href=\"https:\/\/ucf.zoom.us\/j\/96789802247\">Zoom Meeting ID: 967 8980 2247<\/a>)<\/li>\n<li>Discrete Mathematics and Combinatorics Seminar (TBA)<\/li>\n<li>Fluid\/Plasma Theory seminar, Friday 4.00-5.00pm<\/li>\n<li>Graduate Seminar (Wednesday, 10:30am-12:00pm, MSB 318)<\/li>\n<li>Integrable Systems and Potential Theory Seminar (Monday, 1:30pm-3:30pm, MSB 318)<\/li>\n<li>Learning Seminar in PDE (TBA)<\/li>\n<li><a href=\"https:\/\/sciences.ucf.edu\/math\/ucf_section\/mathematics-and-applications-seminar\/\">Mathematics and Applications Seminar<\/a> (Fridays, 10:30am-11:30am, MSB 318)<\/li>\n<li><a href=\"https:\/\/sciences.ucf.edu\/math\/mathbio\/mathematical-biology-seminar\/\">Mathematical Biology Seminar<\/a> (TBA)<\/li>\n<li>Probability Seminar (Fridays, 2:00pm-3:00pm, MSB 318)<\/li>\n<li><a href=\"https:\/\/sciences.ucf.edu\/math\/borges\/scientific-computing-seminar\/\">Scientific Computing Seminar<\/a> (Thursdays, 03:00pm-04:00 am, MSB 318)<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h2>COLLOQUIUM<\/h2>\n<p>UCF Mathematics hosts a weekly colloquium on Mondays from 3:30 pm to 4:30 pm in room MSB318. Click <a href=\"https:\/\/sciences.ucf.edu\/math\/colloquium\/\">here<\/a> for a list of speakers. Tea is served in the Department lounge from 2:30 pm to 3:30 pm.<\/p>\n","protected":false},"excerpt":{"rendered":"Research Groups Algebra and Number Theory J. Brennan, W. Ghantous, and H. Martin Analysis Classical Analysis and Approximation Theory \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 R. Jenkins, R. Mohapatra, Q. Sun, X. Li, and A. Lopez-Garc\u00eda Functional Analysis \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 D. Dutkay and D. Han Harmonic Analysis \u00a0 \u00a0 \u00a0 \u00a0 [&hellip;]","protected":false},"author":39,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-7211","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/pages\/7211","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/comments?post=7211"}],"version-history":[{"count":36,"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/pages\/7211\/revisions"}],"predecessor-version":[{"id":7695,"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/pages\/7211\/revisions\/7695"}],"wp:attachment":[{"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/media?parent=7211"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}