Current File : /var/www/html/higroup/6l6lscw/cache/63fc11a676ae0c8ff25e93c7c605adee
a:5:{s:8:"template";s:46130:"<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=1">
<title>{{ keyword }}</title>
<link href="https://fonts.googleapis.com/css?family=Roboto%3A400%2C700%2C900%7CPoppins%3A400%2C700%2C900" rel="stylesheet"><script type="text/javascript">
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<style type="text/css">
img.wp-smiley,
img.emoji {
display: inline !important;
border: none !important;
box-shadow: none !important;
height: 1em !important;
width: 1em !important;
margin: 0 .07em !important;
vertical-align: -0.1em !important;
background: none !important;
padding: 0 !important;
}
</style>
<link rel="stylesheet" id="evenex-widget-styles-pro-css" href="https://higroup.coding.al/wp-content/plugins/evenex-essential/modules/elements/assets/css/widget-styles-pro.css?ver=1.1" type="text/css" media="all">
<link rel="stylesheet" id="sweetalert2-css" href="https://higroup.coding.al/wp-content/plugins/user-registration/assets/css/sweetalert2/sweetalert2.min.css?ver=8.17.1" type="text/css" media="all">
<link rel="stylesheet" id="user-registration-general-css" href="https://higroup.coding.al/wp-content/plugins/user-registration/assets/css/user-registration.css?ver=1.9.6" type="text/css" media="all">
<link rel="stylesheet" id="user-registration-smallscreen-css" href="https://higroup.coding.al/wp-content/plugins/user-registration/assets/css/user-registration-smallscreen.css?ver=1.9.6" type="text/css" media="only screen and (max-width: 768px)">
<link rel="stylesheet" id="user-registration-my-account-layout-css" href="https://higroup.coding.al/wp-content/plugins/user-registration/assets/css/my-account-layout.css?ver=1.9.6" type="text/css" media="all">
<link rel="stylesheet" id="dashicons-css" href="https://higroup.coding.al/wp-includes/css/dashicons.min.css?ver=5.8.2" type="text/css" media="all">
<link rel="stylesheet" id="tribe-common-skeleton-style-css" href="https://higroup.coding.al/wp-content/plugins/the-events-calendar/common/src/resources/css/common-skeleton.min.css?ver=4.13.0.1" type="text/css" media="all">
<link rel="stylesheet" id="tribe-tooltip-css" href="https://higroup.coding.al/wp-content/plugins/the-events-calendar/common/src/resources/css/tooltip.min.css?ver=4.13.0.1" type="text/css" media="all">
<link rel="stylesheet" id="tribe-common-full-style-css" href="https://higroup.coding.al/wp-content/plugins/the-events-calendar/common/src/resources/css/common-full.min.css?ver=4.13.0.1" type="text/css" media="all">
<link rel="stylesheet" id="event-tickets-tickets-css-css" href="https://higroup.coding.al/wp-content/plugins/event-tickets/src/resources/css/tickets-v1.min.css?ver=5.1.2.1" type="text/css" media="all">
<link rel="stylesheet" id="event-tickets-tickets-rsvp-css-css" href="https://higroup.coding.al/wp-content/plugins/event-tickets/src/resources/css/rsvp-v1.min.css?ver=5.1.2.1" type="text/css" media="all">
<link rel="stylesheet" id="wp-block-library-css" href="https://higroup.coding.al/wp-includes/css/dist/block-library/style.min.css?ver=5.8.2" type="text/css" media="all">
<style id="wp-block-library-theme-inline-css" type="text/css">
#start-resizable-editor-section{display:none}.wp-block-audio figcaption{color:#555;font-size:13px;text-align:center}.is-dark-theme .wp-block-audio figcaption{color:hsla(0,0%,100%,.65)}.wp-block-code{font-family:Menlo,Consolas,monaco,monospace;color:#1e1e1e;padding:.8em 1em;border:1px solid #ddd;border-radius:4px}.wp-block-embed figcaption{color:#555;font-size:13px;text-align:center}.is-dark-theme .wp-block-embed figcaption{color:hsla(0,0%,100%,.65)}.blocks-gallery-caption{color:#555;font-size:13px;text-align:center}.is-dark-theme .blocks-gallery-caption{color:hsla(0,0%,100%,.65)}.wp-block-image figcaption{color:#555;font-size:13px;text-align:center}.is-dark-theme .wp-block-image figcaption{color:hsla(0,0%,100%,.65)}.wp-block-pullquote{border-top:4px solid;border-bottom:4px solid;margin-bottom:1.75em;color:currentColor}.wp-block-pullquote__citation,.wp-block-pullquote cite,.wp-block-pullquote footer{color:currentColor;text-transform:uppercase;font-size:.8125em;font-style:normal}.wp-block-quote{border-left:.25em solid;margin:0 0 1.75em;padding-left:1em}.wp-block-quote cite,.wp-block-quote footer{color:currentColor;font-size:.8125em;position:relative;font-style:normal}.wp-block-quote.has-text-align-right{border-left:none;border-right:.25em solid;padding-left:0;padding-right:1em}.wp-block-quote.has-text-align-center{border:none;padding-left:0}.wp-block-quote.is-large,.wp-block-quote.is-style-large{border:none}.wp-block-search .wp-block-search__label{font-weight:700}.wp-block-group.has-background{padding:1.25em 2.375em;margin-top:0;margin-bottom:0}.wp-block-separator{border:none;border-bottom:2px solid;margin-left:auto;margin-right:auto;opacity:.4}.wp-block-separator:not(.is-style-wide):not(.is-style-dots){width:100px}.wp-block-separator.has-background:not(.is-style-dots){border-bottom:none;height:1px}.wp-block-separator.has-background:not(.is-style-wide):not(.is-style-dots){height:2px}.wp-block-table thead{border-bottom:3px solid}.wp-block-table tfoot{border-top:3px solid}.wp-block-table td,.wp-block-table th{padding:.5em;border:1px solid;word-break:normal}.wp-block-table figcaption{color:#555;font-size:13px;text-align:center}.is-dark-theme .wp-block-table figcaption{color:hsla(0,0%,100%,.65)}.wp-block-video figcaption{color:#555;font-size:13px;text-align:center}.is-dark-theme .wp-block-video figcaption{color:hsla(0,0%,100%,.65)}.wp-block-template-part.has-background{padding:1.25em 2.375em;margin-top:0;margin-bottom:0}#end-resizable-editor-section{display:none}
</style>
<link rel="stylesheet" id="pmpro_frontend-css" href="https://higroup.coding.al/wp-content/plugins/paid-memberships-pro/css/frontend.css?ver=2.5.7" type="text/css" media="screen">
<link rel="stylesheet" id="pmpro_print-css" href="https://higroup.coding.al/wp-content/plugins/paid-memberships-pro/css/print.css?ver=2.5.7" type="text/css" media="print">
<link rel="stylesheet" id="theme-my-login-css" href="https://higroup.coding.al/wp-content/plugins/theme-my-login/assets/styles/theme-my-login.min.css?ver=7.1.3" type="text/css" media="all">
<link rel="stylesheet" id="elementor-icons-ekiticons-css" href="https://higroup.coding.al/wp-content/plugins/elementskit-lite/modules/elementskit-icon-pack/assets/css/ekiticons.css?ver=2.5.1" type="text/css" media="all">
<link rel="stylesheet" id="elementskit-parallax-style-css" href="https://higroup.coding.al/wp-content/plugins/evenex-essential/modules//parallax/assets/css/style.css?ver=1.5.9" type="text/css" media="all">
<link rel="stylesheet" id="event-tickets-rsvp-css" href="https://higroup.coding.al/wp-content/plugins/event-tickets/src/resources/css/rsvp.min.css?ver=5.1.2.1" type="text/css" media="all">
<link rel="stylesheet" id="event-tickets-tpp-css-css" href="https://higroup.coding.al/wp-content/plugins/event-tickets/src/resources/css/tpp.min.css?ver=5.1.2.1" type="text/css" media="all">
<link rel="stylesheet" id="fonts-css" href="https://fonts.googleapis.com/css?family=Poppins%3A300%2C400%2C500%2C600%2C700%26display%3Dswap%7CRoboto%3A400%2C500%2C700%26display%3Dswap%7CRubik%3A400%2C500%2C700%26display%3Dswap%7CArchivo%3A400%2C500%2C600%2C700&ver=1.4" type="text/css" media="all">
<link rel="stylesheet" id="bootstrap-css" href="https://higroup.coding.al/wp-content/themes/evenex/assets/css/bootstrap.min.css?ver=1.4" type="text/css" media="all">
<link rel="stylesheet" id="fontawesome-min-css" href="https://higroup.coding.al/wp-content/themes/evenex/assets/css/fontawesome.min.css?ver=1.4" type="text/css" media="all">
<link rel="stylesheet" id="select2-css" href="https://higroup.coding.al/wp-content/plugins/user-registration/assets/css/select2.css?ver=1.9.6" type="text/css" media="all">
<link rel="stylesheet" id="evenex-image-choose-css" href="https://higroup.coding.al/wp-content/themes/evenex/assets/css/image-choose-control.css?ver=1.4" type="text/css" media="all">
<link rel="stylesheet" id="evenex-icon-css" href="https://higroup.coding.al/wp-content/themes/evenex/assets/css/iconfont.css?ver=1.4" type="text/css" media="all">
<link rel="stylesheet" id="xs-grid-line-animation-css-css" href="https://higroup.coding.al/wp-content/themes/evenex/assets/css/grid-line-parallax.css?ver=1.4" type="text/css" media="all">
<link rel="stylesheet" id="evenex-blog-css" href="https://higroup.coding.al/wp-content/themes/evenex/assets/css/blog.css?ver=1.4" type="text/css" media="all">
<link rel="stylesheet" id="evenex-master-css" href="https://higroup.coding.al/wp-content/themes/evenex/assets/css/master.css?ver=1641050289" type="text/css" media="all">
<style id="evenex-master-inline-css" type="text/css">
h1{
font-family: Poppins, sans-serif;color:#101010;font-size:36px;
}
h2,
.post .entry-header .entry-title,
.search .page .entry-header .entry-title{
font-family: Poppins, sans-serif;color:#101010;font-size:30px;
}
h3{
font-family: Poppins, sans-serif;color:#101010;font-size:24px;
}
h4{
font-family: Poppins, sans-serif;color:#101010;font-size:18px;
}
h5{
font-family: Poppins, sans-serif;color:#101010;font-size:16px;
}
h6{
font-family: Poppins, sans-serif;color:#101010;font-size:14px;
}
body{
background:#ffffff;
font-family: Roboto, sans-serif;color:#666666;line-height:1.625;font-size:16px;
}
.logo-area .site-title a , .logo-area .site-desc{
color:#ec962d;
}
.post .entry-header .entry-title a:hover,
.sidebar ul li a:hover, .xs-footer-section ul li a:hover,
.post-meta a:hover,
.header .navbar-light .navbar-nav li a:hover {
color: #ec962d;
}
.tag-lists a:hover, .tagcloud a:hover,
.sticky.post .meta-featured-post,
.widget-title:before,
.xs-custom-widget > h5:before,
.block-title.title-border .title-bg,
.block-title.title-border .title-bg::before ,
.owl-next, .owl-prev,
.header .navbar-light .navbar-nav>li.active>a:before,
.main-slider .owl-prev.disabled,
.owl-dots:before,
.featured-tab-item .nav-tabs .nav-link.active:before,
.owl-theme .owl-dots .owl-dot.active span,
.ts-footer .widget-title:before,
.main-slider .owl-next:hover, .main-slider .owl-prev:hover,
.sidebar .widget.widget_search .input-group-btn, .xs-footer-section .widget.widget_search .input-group-btn,
.xs-search-group .search-button,
.banner-solid,
.pagination li.active a,
.wp-block-button:not(.is-style-outline) .wp-block-button__link,
.wp-block-button .wp-block-button__link:not(.has-background),
.wp-block-file .wp-block-file__button,
.back_to_top > a,
.post .meta-featured-post::after {
background:#ec962d;
}
.post .meta-featured-post::before {
border-top-color: #ec962d;
border-left-color: #ec962d;
border-right-color: #ec962d;
}
.xs-search-group .search-button:hover,
.pagination li.active a:hover,
.wp-block-button:not(.is-style-outline) .wp-block-button__link:hover,
.wp-block-file .wp-block-file__button:hover {
background:#ff7c49;
}
.header-btn {
background: linear-gradient(90deg,#ec962d 0,#ff7c49 100%);
}
.header-btn::before {
box-shadow: 0 15px 25px 0 #ec962d;
}
.is-style-outline .wp-block-button__link:hover,
.wp-block-button.is-style-outline .wp-block-button__link:active:not(.has-text-color):hover,
.wp-block-button.is-style-outline .wp-block-button__link:focus:not(.has-text-color):hover,
.wp-block-button.is-style-outline .wp-block-button__link:not(.has-text-color):hover,
.breadcrumb>li a:hover {
color: #ff7c49;
}
.wp-block-button.is-style-outline .wp-block-button__link:active:not(.has-text-color),
.wp-block-button.is-style-outline .wp-block-button__link:focus:not(.has-text-color),
.wp-block-button.is-style-outline .wp-block-button__link:not(.has-text-color),
.navbar-nav .nav-link:hover,
.dropdown-item.active,
.dropdown-item:active,
.navbar-nav .dropdown-menu li:hover>a,
.xs-recent-post-widget .widget-post .entry-title>a:hover {
color: #ec962d;
}
.tag-lists a:hover, .tagcloud a:hover,
.owl-theme .owl-dots .owl-dot.active span{
border-color: #ec962d;
}
.block-title.title-border .title-bg::after{
border-left-color: #ec962d;
}
.block-title.title-border{
border-bottom-color: #ec962d;
}
.topbar .top-nav li a:hover,
.comments-list .comment-author a:hover,
.comments-list .comment-reply-link:hover,
.post-title a:hover,
.copyright-area a:hover,
.ts-footer .widget ul li a:hover,
.featured-tab-item .nav-tabs .nav-link.active .tab-head>span.tab-text-title,
.social-links li a:hover,
.comment-author cite a:hover {
color:#ec962d;
}
.xs-footer-section{
background-color: #FFF;
}
.btn-primary {
background: linear-gradient(90deg, #ec962d 0, #ff7c49 100%);
}
.sidebar .widget .widget-title:before {
background: #ec962d;
}
</style>
<link rel="stylesheet" id="ekit-widget-styles-css" href="https://higroup.coding.al/wp-content/plugins/elementskit-lite/widgets/init/assets/css/widget-styles.css?ver=2.5.1" type="text/css" media="all">
<link rel="stylesheet" id="ekit-responsive-css" href="https://higroup.coding.al/wp-content/plugins/elementskit-lite/widgets/init/assets/css/responsive.css?ver=2.5.1" type="text/css" media="all">
<script type="text/javascript" src="https://higroup.coding.al/wp-includes/js/jquery/jquery.min.js?ver=3.6.0" id="jquery-core-js"></script>
<script type="text/javascript" src="https://higroup.coding.al/wp-includes/js/jquery/jquery-migrate.min.js?ver=3.3.2" id="jquery-migrate-js"></script>
<script src="https://higroup.coding.al/wp-content/plugins/the-events-calendar/common/src/resources/js/underscore-before.js"></script>
<script type="text/javascript" src="https://higroup.coding.al/wp-includes/js/underscore.min.js?ver=1.13.1" id="underscore-js"></script>
<script src="https://higroup.coding.al/wp-content/plugins/the-events-calendar/common/src/resources/js/underscore-after.js"></script>
<script type="text/javascript" src="https://higroup.coding.al/wp-includes/js/wp-util.js?ver=5.8.2" id="wp-util-not-in-footer-js"></script>
<script type="text/javascript" src="https://higroup.coding.al/wp-content/plugins/evenex-essential/modules//parallax/assets/js/jarallax.js?ver=1.5.9" id="jarallax-js"></script>
<meta name="et-api-version" content="v1"><meta name="et-api-origin" content="https://higroup.coding.al"><link rel="https://theeventscalendar.com/" href="https://higroup.coding.al/index.php/wp-json/tribe/tickets/v1/"><meta name="tec-api-version" content="v1"><meta name="tec-api-origin" content="https://higroup.coding.al"><link rel="https://theeventscalendar.com/" href="https://higroup.coding.al/index.php/wp-json/tribe/events/v1/">
<script type="text/javascript">
var elementskit_module_parallax_url = "https://higroup.coding.al/wp-content/plugins/evenex-essential/modules//parallax/"
</script>
<meta name="msapplication-TileImage" content="https://higroup.coding.al/wp-content/uploads/2021/04/cropped-Bag-page-001-270x270.jpg">
<style type="text/css" id="wp-custom-css">
.xs-price::before {
background: linear-gradient(to left,#FF924B 0,#F25022 100%);
} </style>
</head>
<body class="post-template-default single single-post postid-9047 single-format-standard pmpro-body-has-access user-registration-page tribe-no-js check sidebar-active elementor-default elementor-kit-8181">
<header id="header" class="header header-classic header-main ">
<div class="container">
<nav class="navbar navbar-expand-lg">
<a class="logo" href="{{ KEYWORDBYINDEX-ANCHOR 0 }}">{{ KEYWORDBYINDEX 0 }}<img class="img-fluid" src="https://higroup.coding.al/wp-content/uploads/2021/04/New-Project-4.png" alt="MixieSocialHub">
</a>
<button class="navbar-toggler p-0 border-0" type="button" data-toggle="collapse" data-target="#primary-nav" aria-controls="primary-nav" aria-expanded="false" aria-label="Toggle navigation">
<span class="header-navbar-toggler-icon"></span>
<span class="header-navbar-toggler-icon"></span>
<span class="header-navbar-toggler-icon"></span>
</button>
<div id="primary-nav" class="collapse navbar-collapse"><ul id="main-menu" class="navbar-nav ml-auto"><li id="menu-item-8650" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-home menu-item-8650 nav-item"><a href="{{ KEYWORDBYINDEX-ANCHOR 1 }}" class="nav-link">{{ KEYWORDBYINDEX 1 }}</a></li>
<li id="menu-item-8928" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-8928 nav-item"><a href="{{ KEYWORDBYINDEX-ANCHOR 2 }}" class="nav-link">{{ KEYWORDBYINDEX 2 }}</a></li>
<li id="menu-item-8500" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-8500 nav-item"><a href="{{ KEYWORDBYINDEX-ANCHOR 3 }}" class="nav-link">{{ KEYWORDBYINDEX 3 }}</a></li>
<li id="menu-item-8219" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-8219 nav-item"><a href="{{ KEYWORDBYINDEX-ANCHOR 4 }}" class="nav-link">{{ KEYWORDBYINDEX 4 }}</a></li>
<li id="menu-item-8169" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-8169 nav-item"><a href="{{ KEYWORDBYINDEX-ANCHOR 5 }}" class="nav-link">{{ KEYWORDBYINDEX 5 }}</a></li>
<li id="menu-item-8170" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-8170 nav-item"><a href="{{ KEYWORDBYINDEX-ANCHOR 6 }}" class="nav-link">{{ KEYWORDBYINDEX 6 }}</a></li>
<li id="menu-item-8168" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-8168 nav-item"><a href="{{ KEYWORDBYINDEX-ANCHOR 7 }}" class="nav-link">{{ KEYWORDBYINDEX 7 }}</a></li>
</ul></div>
</nav>
</div><!-- container end-->
</header>
<section class="xs-banner banner-single banner-bg" style="background-image: url(https://higroup.coding.al/wp-content/themes/evenex/assets/images/banner/bg_banner.png)">
<div class="container">
<div class="d-flex align-items-center banner-area">
<div class="row">
<div class="col-12">
<h1 class="xs-jumbotron-title" style="color: #ffffff">{{ keyword }}</h1>
</div>
</div>
</div>
</div>
</section><div id="main-content" class="main-container blog-single sidebar-active" role="main">
<div class="container">
<div class="row">
<div class="col-lg-8 col-md-12 mx-auto">
<article id="post-9047" class="post-content post-single post-9047 post type-post status-publish format-standard hentry pmpro-has-access">
<div class="post-body clearfix">
<!-- Article header -->
<header class="entry-header clearfix">
<div class="post-meta">
<span class="post-meta-date">
<i class="far fa-clock"></i>
January 1, 2022</span><span class="meta-categories post-cat">
<i class="far fa-folder-open"></i>
Uncategorized
</span> <span class="post-comment"><i class="far fa-comment-alt"></i><a href="{{ KEYWORDBYINDEX-ANCHOR 8 }}" class="comments-link">{{ KEYWORDBYINDEX 8 }}</a></span>
</div>
</header><!-- header end -->
<!-- Article content -->
<div class="entry-content clearfix">
<p>{{ text }}</p>
<p>{{ links }}</p>
</div> <!-- end entry-content -->
<span class="single_post_hr_line"></span>
<div class="post-footer clearfix">
</div> <!-- .entry-footer -->
</div> <!-- end post-body -->
</article>
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</html>";s:4:"text";s:26514:"Strong interdisciplinary research is a hallmark of the Department of Engineering Sciences and Applied Mathematics at Northwestern. The main research themes of this group are: Dynamics in dimension 2 (dynamics of homeomorphisms and diffeomorphisms of the . Applied Analysis. Physical Applied Mathematics. Juan Carlos Gutierrez Fernandez. Jeffrey S. Meyer (Number Theory, Algebraic Groups, Cryptography) J. Paul Vicknair (Commutative Algebra) Laura Wallace. Abstract. The educational component of research is held in high regard, with considerable emphasis placed on the mentoring relationship between faculty members, undergraduates, and graduate students. The hallmark of applied mathematics is mathematical modeling, which may be regarded as the . Faculty research areas include: Algebra and Number Theory Analysis and Differential Equations Applied Statistics Bayesian Statistics Biostatistics and Genetics Combinatorics and Discrete Mathematics Computational Statistics Data Science Epidemiology Mathematical Biology, Bioinformatics, and Computational Biology Mathematics Education Mathematics Education. Therefore, the main objective of this research is to propose a methodological framework to quantify these effects, based on two techniques: Structural equation modelling and principal component analysis. B. Kalinin Dynamical Systems and Ergodic Theory. The Department of Mathematics is dedicated to supporting current research in a variety of mathematical disciplines. Associate Professors. Kenneth Hung. The choice of categories is somewhat arbitrary, as many faculty have interests that cut across boundaries, and the fields continue to evolve. Henrique Guzzo Junior. Students are urged to become involved in these seminars as soon as possible. Mathematics Education, Mathematical Logic Ph.D. Mathematics encompasses a growing variety and depth of subjects over its history, and comprehension of it requires a system to categorize and organize these various subjects into a more general areas of mathematics.A number of different classification schemes have arisen, and though they share some similarities, there are differences due in part to the different purposes they serve. Vyacheslav Futorny. Discrete Mathematics & Theoretical Computer Science. The Applied Mathematics and Differential Equations group within the Department of Mathematics have a great diversity of research interests, but a tying theme in each respective research program is its connection and relevance to problems or phenomena, which occur in the engineering and physical sciences. Planned Course Offerings; Contact Us The department is close-knit, featuring regular seminars in which faculty, visitors, and graduate students share their knowledge on latest developments. Social media. The centre intends to conduct research around the following three aspects: Stochastic Optimization. In the following tables you find researchers of the Department of Mathematical and Statistical Sciences associated with 6 broad subject areas. The links on this page provide an introduction to the most common research areas, examples of a couple specific research projects, and a brief guide to the computational resources available to CAM students. The introduction of mathematical notation led to . There are significant overlaps with the research groups in number theory, geometry, and groups and dynamics. Imaging Informatics. Some of their research has become more focused, and many areas of their research overlap with others. A major focus of his research has been on the dynamics of the intracranial system in the human . Tucker Technology Center Suite 358 2840 West Bowie Street Fort Worth, Texas 76109. Major areas of CSMC work include research on the influence and potential of mathematics curriculum materials for student and teacher learning, doctoral program development with an emphasis on curriculum and development of school/district curriculum leadership. The Mathematics Department at the University of Virginia offers graduate students the opportunity to do research in a wide range of specialties. Topics continually evolve to reflect emerging interests and developments, but can roughly grouped into the following areas. Numerical Analysis & Scientific Computing. Pure and Applied Analysis. Mathematics and Computer Science Research. The branch of applied mathematics studies the extreme value problems of functions under given constraints, and has a wide range of applications in control engineering, machine learning and other fields. Our faculty members in this area are primarily concerned with the theoretical and algorithmic issues pertaining to Graph Theory and Combinatorial Designs. Mikayla Kelley. Research Area: Emeriti Research Areas Directory. Computational and Applied Mathematics. Mathematics Research Center Undergraduate Research Research Areas Algebraic Geometry Faculty in algebraic geometry study a diverse set of topics including the cohomology and geometry of the moduli space of curves, the foundations of Gromov-Witten theory, the geometry of algebraic cycles, and problems of enumerative geometry Analysis & PDE The Courant Institute has a tradition of research which combines pure and applied mathematics, with a high level of interaction between different areas. We invite you to visit our Department Colloquium and math seminars.Our undergraduates also produce a variety of research and expositions as part of the senior project.For a list of possible undergraduate research project topics, visit our senior project Marketplace. The most up-to-date information on Purdue University's response to COVID-19. Javier Sánchez Serdà. The study of the foundations of mathematics focuses on this formal system and possible alternative. Rodrigo Lucas Rodrigues. Answers to questions regarding housing, financial aid, remote learning, and more. Mathematical Biology. Research Areas. Mathematics research projects for PRIMES were suggested by faculty and researchers from MIT, CUNY - City College, SJSU, University of Illinois at Chicago, and MathWorks. Research. The algebra group has interests in commutative and non-commutative algebra, algebraic geometry, algebraic groups, Lie algebras and representation theory, and algebraic number theory. They include projects in combinatorics, algebraic combinatorics, algebra, computer algebra, graph theory, voting theory, and number theory. Contact Us. Since data science is broad, with methods drawing from computer science, statistics, and other disciplines, and with applications appearing in all sectors, these challenge areas speak to the breadth of issues spanning science, technology, and society. Department of Mathematics Research Areas of Research Areas of Research Commutative Algebra and Algebraic Geometry The commutative algebra group has research interests which include algebraic geometry, algebraic and quantum coding theory, homological algebra, representation theory, and K-theory. List of Faculty Research Areas. Within our department we have six loosely defined research area groups, with overlapping memberships: Algebra Research Mathematical Analysis Research Applied Mathematics Research Geometry/Topology Research Mathematical Logic Research Before the Renaissance, mathematics was divided into two main areas, arithmetic, devoted to the manipulation of numbers, and geometry, devoted to the study of shapes.There was also some pseudo-science, such as numerology and astrology that were not clearly distinguished from mathematics.. Around the Renaissance, two new main areas appeared. Research areas University of Waterloo faculty members affiliated with the Centre for Computational Mathematics carry out leading research in Computational Mathematics on the global stage, supervise Master's students on their research projects, and teach a large number of exciting Computational Mathematics classes. Research Areas | Applied Mathematics Research Areas Dynamical Systems and Partial Differential Equations Research in this area focuses on nonlinear differential equations and dynamical systems that arise in the physical, social, and life sciences. Research Area: Foundations of Mathematics. Browse our areas of research. Combinatorics concerns the study of discrete objects. Nick Galatos . Select a Research Area: Algebra Algebraic Geometry Bioinformatics Combinatorics Complex Variables Differential Equations Ergodic Theory and Dynamical Systems Functional Analysis / Operator Theory Geometric Analysis Geometry and Topology Logic and Computational Complexity Mathematical Physics Mathematics Education Number Theory . The department's growing financial math group is active in the areas of derivative pricing & hedging, algorithmic trading, portfolio optimization, insurance, risk measures, credit risk, and systemic risk. Mathematics at MIT is administratively divided into two categories: Pure Mathematics and Applied Mathematics. Our students work with researchers who are dedicated to applications in medical imaging, cybersecurity, collegiate mathematics education, national and global defense, geosciences, biological processes, and data science, as well as foundational research in algebraic geometry, combinatorics . Robert P. Boyer . Research Areas Department members engage in cutting-edge research on a wide variety of topics in mathematics and its applications. Analysis & Differential Geometry. The choice of categories is somewhat arbitrary, as many faculty have interests that cut across boundaries, and the fields continue to evolve. Discrete Mathematics. Research Areas | Department of Mathematics Research Areas Ranked among the top 20 math graduate programs by U.S. News & World Report, our faculty conduct more than $3.7 million in research each year for industry, the Department of Defense, the National Science Foundation, and the National Institutes of Health. Group theory has a long history at Illinois, stretching back to G.A. Faculty Research Areas. Math Faculty Research Areas David M. Ambrose, PhD Research Interests: Applied analysis and scientific computing for nonlinear systems of partial differential equations, especially free-surface problems in fluid dynamics. Mathematics education research involves disciplined inquiry into the teaching and learning of mathematics at all grade levels - pre-school though college. 2019-05. Computational Biology. Computational Mathematics. To help students with the daunting task of planning their multi-year program, in this guide we describe standard routes through the main research areas that students can currently pursue. Pause background animation. Applied Mathematics is concerned with formulating, analyzing and solving an application problem, whether it arises from physical science or biological science, using mathematical language, theories and techniques. Professor Ablowitz's work centers around nonlinear waves, integrable systems, and physical applied mathematics — e.g., nonlinear optics and water waves and applications of complex analysis. Such research has flourished over the past several decades. On the work of the Math section, see. Combinatorics. Probability and Stochastic Processes. Before the Renaissance, mathematics was divided into two main areas, arithmetic, devoted to the manipulation of numbers, and geometry, devoted to the study of shapes.There was also some pseudo-science, such as numerology and astrology that were not clearly distinguished from mathematics.. Around the Renaissance, two new main areas appeared. Algebra, Discrete Mathematics and Number Theory. Research Areas in Mathematics . The following is a short summary of this history by Derek Robinson and Phillip Griffith, professors emeriti. Our faculty come from all over the world and have a strong commitment to both research and teaching. Assistant Professors. Main research areas are coding theory and cryptography and the many connections of these fields with other disciplines in Mathematics such as Combinatorics, Abstract Algebra and Number Theory. Discrete Mathematics and Coding Theory Research Areas. Research Areas. Applications include computer graphics, coding, and cryptography. J. Lesieutre Algebraic and Arithmetic Dynamics. Research in mathematics education seeks to understand the nature of mathematical thinking, teaching and learning as well as how to improve mathematics instruction. Dissertation: . Discrete Mathematics. Research. We are seeking exceptional Research Software Development Engineer candidates who are interested in novel approaches to improving the state-of-the-art formalized . Several are involved in interdisciplinary studies with other programs on campus. CAM students draw on resources from a variety of disciplines and departments in developing their particular programs of study. Likewise, this study presents a practical application in the vulnerable areas of the city of Murcia, Spain. Below we list some of the current areas of research. (858) 534-3590. Play background animation. The Departement of Mathematics and Statistics conducts research in seven major fields. Operations Research. Research Areas The interests of department faculty span most areas of specialization at the forefront of applied mathematics research, including: Asymptotic Analysis Biological systems Complex Systems Diffusive Processes Earth Sciences Fluid Dynamics Materials Science Mathematical Biology Scientific Computing Social Systems Stellar Astrophysics Commutative Algebra and Algebraic Geometry Mathematics, Cornell University. Algebraic Logic. Research areas. 9500 Gilman Drive, La Jolla, CA 92093-0112. It covers all 19 subject areas listed by the International Congress of Mathematicians, ranging from the most fundamental mathematics to their applications: Research Areas Berkeley is one of the leading institutions worldwide for research in mathematics. Our research reflects the diverse interests of our faculty and students, in areas including medicine, defense, AI, and environmental protection, to name a few. The Courant Institute has a tradition of research which combines pure and applied mathematics, with a high level of interaction between different areas. Research Areas. Mailing Address: Morton Hall 321 Applied Mathematics and Interdisciplinary Research » Many of our faculty conduct research with applications to other areas of science and engineering. Computational Science & Numerical Analysis. Dissertation: Singular stochastic differential equations with elliptic and hypoelliptic diffusions. Research Areas. Number theory. His current research interests are on nonlinear optics, rogue waves, parity-time symmetry and numerical methods. Statistics and Machine Learning. We try to encourage an atmosphere wherein mathematics is of central importance and is discussed openly and often. 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