{"id":74,"date":"2022-05-16T14:58:06","date_gmt":"2022-05-16T18:58:06","guid":{"rendered":"https:\/\/www.citadel.edu\/mathsci\/?page_id=74"},"modified":"2025-04-23T17:51:58","modified_gmt":"2025-04-23T21:51:58","slug":"faculty-research","status":"publish","type":"page","link":"https:\/\/www.citadel.edu\/mathsci\/faculty-research\/","title":{"rendered":"Faculty Research"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><strong>Mei Chen, Ph. D.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">My research areas&nbsp;are&nbsp;matrix theory and numerical methods in linear algebra and optimization.&nbsp;&nbsp;I&nbsp;am currently working on mathematical modeling&nbsp;with large data sets&nbsp;using regression methods.&nbsp;Approximation errors are analyzed to improve the models.&nbsp;&nbsp;The developed&nbsp;methods have been&nbsp;implemented in&nbsp;MatLab&nbsp;for&nbsp;some&nbsp;real-world applications&nbsp;in COVID-19 and&nbsp;climate change.&nbsp; I am also working on mathematical modeling using&nbsp;systems of&nbsp;linear and&nbsp;nonlinear differential equations&nbsp;for&nbsp;ecosystem&nbsp;changes and pandemic.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>David Edwards, Ph. D.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">My primary research is focused on applied statistics and data science.&nbsp; I am always eager to collaborate with highly motivated students who have a keen interest in working on and solving interesting problems. Some examples of current and past projects include:&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Analysis of human microbiome data&nbsp;<\/li>\n\n\n\n<li>Design of experiments for high-throughput screening of chemical or biological compounds&nbsp;<\/li>\n\n\n\n<li>Optimal experimental designs for model selection under penalized regression&nbsp;<\/li>\n\n\n\n<li>Graphical methods for comparing experimental designs&nbsp;<\/li>\n\n\n\n<li>Using data structures to aid in effective model selection&nbsp;<\/li>\n\n\n\n<li> Interpretable machine learning and automated discovery of patterns in data&nbsp;<\/li>\n\n\n\n<li>Visualization of aircraft trajectories using Gaussian-Smoothed heatmaps&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Rigoberto Florez, Ph. D.<\/strong> <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">I appreciate nearly every type of mathematics. The beauty of mathematics knows no bounds. However, my research is primarily focused on combinatorics. Additionally, I have a strong interest in elementary number theory. My research focuses on the following topics (see&nbsp;<a href=\"https:\/\/www.rigoflorez.com\/research\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/www.rigoflorez.com\/research<\/a>):<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Graph theory<\/li>\n\n\n\n<li>Matroids<\/li>\n\n\n\n<li>Lattice paths<\/li>\n\n\n\n<li>Elementary number theory<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Chao Gu, Ph. D.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">My research aims to solve feature selection and change-point detection in high-dimensional data analysis. ÌÇÐÄVLOGs who are interested in this topic are welcome to stop by my office and get more information\/ideas about it. Past research projects include:&nbsp;&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Sequential Analysis&nbsp;<\/li>\n\n\n\n<li>Hypothesis Testing&nbsp;<\/li>\n\n\n\n<li>High-dimensional Inference&nbsp;&nbsp;<\/li>\n\n\n\n<li>Supervised Statistical Learning&nbsp;&nbsp;<\/li>\n\n\n\n<li>Model Selection&nbsp;<\/li>\n\n\n\n<li>Wiener Process&nbsp;&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Bo Li, Ph. D. <\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">I have been primarily interested in the resampling schemes in nonparametric and semiparametric models, by their \u201calmost\u201d minimal to moderate distributional assumptions in data analysis. In particular, the topics are rank statistics, multiple comparisons, quasi-likelihood estimation method, generalized linear models, microarray gene expression data analysis, and RNA sequencing gene expression data analysis. In addition, I have been interested in computational statistics, high-dimensional data analysis, and student research in real-world applications.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jeffrey Lyons, Ph. D. <\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">My research focuses on the qualitive study of ordinary differential, dynamic, and difference equations. I have collaborated with several undergraduate students on peer-reviewed publications. Some past student projects include:&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Derivatives of solutions of LRC-series circuits boundary value problems with respect to boundary data and parameters.&nbsp;<\/li>\n\n\n\n<li>Boundary data smoothness for solutions to second and third order dynamic equations on time scales.&nbsp;<\/li>\n\n\n\n<li>Boundary data smoothness for solutions to nonlocal boundary value problems.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Antara Mukherjee, Ph. D.<\/strong> <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">My research area is mainly geometric group theory and number theory. I often mentor student research projects.  Past student projects include<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Prime Progressions<\/li>\n\n\n\n<li>Hosoya Triangle properties<\/li>\n\n\n\n<li>Ulam numbers<\/li>\n\n\n\n<li>Fibonacci-like Triangle Patterns<\/li>\n\n\n\n<li>Lucky numbers<\/li>\n\n\n\n<li>Wilson&#8217;s Theorem<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Breeanne Swart, Ph.D. <\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">My research areas include number theory, graph theory, and combinatorics. I often mentor student research projects.  Past student projects include<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Prime Progressions<\/li>\n\n\n\n<li>Happy numbers<\/li>\n\n\n\n<li>Ulam numbers<\/li>\n\n\n\n<li>Fibonacci-like Triangle Patterns<\/li>\n\n\n\n<li>Lucky numbers<\/li>\n\n\n\n<li>Wilson&#8217;s Theorem<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Todd Wittman, Ph.D.<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">My research focuses on applying optimization techniques and differential equations to image processing and other problems in mathematical modeling.&nbsp; I am very happy to work with any student interested in applied mathematics.&nbsp; Some past student projects I have supervised include:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Removing the noise from MRI brain images<\/li>\n\n\n\n<li>Determining connections between industries by looking for correlations between stock prices<\/li>\n\n\n\n<li>Tracking crime hotspots based on home burglary reports<\/li>\n\n\n\n<li>Speeding up the rendering time of computer animations (sponsored by PIXAR Studios)<\/li>\n\n\n\n<li>Enhancing the resolution of satellite images (sponsored by the National Geospatial-Intelligence Agency)<\/li>\n\n\n\n<li>Detecting blood vessels in medical images (sponsored by UCLA Medical School)<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Li Zhang, Ph.D.<\/strong> <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">My research interests are broad and continue to expand to areas in applied mathematics, mathematics, mathematical education and analytics. My recent work includes mathematical modeling, combinatorial design problems, mathematical education and management science\/decision science\/operations research, which are detailed in my <a href=\"https:\/\/nam10.safelinks.protection.outlook.com\/?url=https%3A%2F%2Fwww.citadel.edu%2Fmathsci%2Fwp-content%2Fuploads%2Fsites%2F50%2FVita-1.pdf&amp;data=05%7C02%7C%7Cd1df5be763884179a42f08dc739b5c55%7C960c1081d06341f8844b41d738db04a3%7C0%7C0%7C638512358315312558%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C0%7C%7C%7C&amp;sdata=tKvQOTXyHI%2FgmfMys9uZ7hu6bf3pf25AsSKPHaRwvzU%3D&amp;reserved=0\" target=\"_blank\" rel=\"noreferrer noopener\">CV<\/a>.&nbsp; I have worked with students on their projects, some of which were published in a journal or a conference proceedings, while others were presented in conferences or locally. Past student projects include&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>An application of overbooking model in revenue management&nbsp;<\/li>\n\n\n\n<li>An application of operations research\/management science in crop portfolio selection&nbsp;<\/li>\n\n\n\n<li>An application of game theory in football matches&nbsp;<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Mei Chen, Ph. D. My research areas&nbsp;are&nbsp;matrix theory and numerical methods in linear algebra and optimization.&nbsp;&nbsp;I&nbsp;am currently working on mathematical modeling&nbsp;with large data sets&nbsp;using regression methods.&nbsp;Approximation errors are analyzed to improve the models.&nbsp;&nbsp;The developed&nbsp;methods have been&nbsp;implemented in&nbsp;MatLab&nbsp;for&nbsp;some&nbsp;real-world applications&nbsp;in COVID-19 and&nbsp;climate change.&nbsp; I am also working on mathematical modeling using&nbsp;systems of&nbsp;linear and&nbsp;nonlinear differential equations&nbsp;for&nbsp;ecosystem&nbsp;changes and pandemic.&nbsp; [&hellip;]<\/p>\n","protected":false},"author":30,"featured_media":1333,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","footnotes":""},"class_list":["post-74","page","type-page","status-publish","has-post-thumbnail","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v28.0 (Yoast SEO v28.0) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Faculty Research - Department of Mathematics and Data Analytics<\/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:\/\/www.citadel.edu\/mathsci\/faculty-research\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Faculty Research\" \/>\n<meta property=\"og:description\" content=\"Mei Chen, Ph. 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My research areas&nbsp;are&nbsp;matrix theory and numerical methods in linear algebra and optimization.&nbsp;&nbsp;I&nbsp;am currently working on mathematical modeling&nbsp;with large data sets&nbsp;using regression methods.&nbsp;Approximation errors are analyzed to improve the models.&nbsp;&nbsp;The developed&nbsp;methods have been&nbsp;implemented in&nbsp;MatLab&nbsp;for&nbsp;some&nbsp;real-world applications&nbsp;in COVID-19 and&nbsp;climate change.&nbsp; I am also working on mathematical modeling using&nbsp;systems of&nbsp;linear and&nbsp;nonlinear differential equations&nbsp;for&nbsp;ecosystem&nbsp;changes and pandemic.&nbsp; [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.citadel.edu\/mathsci\/faculty-research\/\" \/>\n<meta property=\"og:site_name\" content=\"Department of Mathematics and Data Analytics\" \/>\n<meta property=\"article:modified_time\" content=\"2025-04-23T21:51:58+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.citadel.edu\/mathsci\/wp-content\/uploads\/sites\/50\/dan-cristian-padure-h3kuhYUCE9A-unsplash-scaled.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"2560\" \/>\n\t<meta property=\"og:image:height\" content=\"1707\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\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=\"4 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.citadel.edu\\\/mathsci\\\/faculty-research\\\/\",\"url\":\"https:\\\/\\\/www.citadel.edu\\\/mathsci\\\/faculty-research\\\/\",\"name\":\"Faculty Research - Department of Mathematics and Data Analytics\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.citadel.edu\\\/mathsci\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/www.citadel.edu\\\/mathsci\\\/faculty-research\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/www.citadel.edu\\\/mathsci\\\/faculty-research\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.citadel.edu\\\/mathsci\\\/wp-content\\\/uploads\\\/sites\\\/50\\\/dan-cristian-padure-h3kuhYUCE9A-unsplash-scaled.jpg\",\"datePublished\":\"2022-05-16T18:58:06+00:00\",\"dateModified\":\"2025-04-23T21:51:58+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/www.citadel.edu\\\/mathsci\\\/faculty-research\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/www.citadel.edu\\\/mathsci\\\/faculty-research\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/www.citadel.edu\\\/mathsci\\\/faculty-research\\\/#primaryimage\",\"url\":\"https:\\\/\\\/www.citadel.edu\\\/mathsci\\\/wp-content\\\/uploads\\\/sites\\\/50\\\/dan-cristian-padure-h3kuhYUCE9A-unsplash-scaled.jpg\",\"contentUrl\":\"https:\\\/\\\/www.citadel.edu\\\/mathsci\\\/wp-content\\\/uploads\\\/sites\\\/50\\\/dan-cristian-padure-h3kuhYUCE9A-unsplash-scaled.jpg\",\"width\":2560,\"height\":1707},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/www.citadel.edu\\\/mathsci\\\/faculty-research\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/www.citadel.edu\\\/mathsci\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Faculty Research\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/www.citadel.edu\\\/mathsci\\\/#website\",\"url\":\"https:\\\/\\\/www.citadel.edu\\\/mathsci\\\/\",\"name\":\"Department of Mathematics and Data Analytics\",\"description\":\"\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/www.citadel.edu\\\/mathsci\\\/?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":"Faculty Research - Department of Mathematics and Data Analytics","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:\/\/www.citadel.edu\/mathsci\/faculty-research\/","og_locale":"en_US","og_type":"article","og_title":"Faculty Research","og_description":"Mei Chen, Ph. 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