{"id":890,"date":"2022-05-07T20:50:07","date_gmt":"2022-05-07T13:50:07","guid":{"rendered":"https:\/\/sami.hust.edu.vn\/en\/?p=890"},"modified":"2022-05-07T20:50:08","modified_gmt":"2022-05-07T13:50:08","slug":"research-directions-for-graduate-students","status":"publish","type":"post","link":"https:\/\/fami.hust.edu.vn\/en\/research-directions-for-graduate-students\/","title":{"rendered":"Research directions for graduate students"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\">For PhD students of \u00a0Department of Theorical Mathematics:<\/h3>\n\n\n\n<p><strong>1. Differential and integral equations<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Linear and nonlinear differential equations in Banach spaces;<\/li><li>Semi-linear partial differential equation;<\/li><li>Optimal control problems for differential equations and partial differential equations;<\/li><li>Problems determining coefficients for partial differential equations, inverse problems, etc.<\/li><\/ul>\n\n\n\n<p><strong>2. Caculus <\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Integral transform;<\/li><li>Functional analysis;<\/li><li>Complex analysis;<\/li><li>Fixed point theory and related issues.<\/li><\/ul>\n\n\n\n<p><strong>3. Algebra and geometry<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">For PhD Students of Department of\u00a0Applied Mathematics:<\/h3>\n\n\n\n<p><strong>1. Scientific computation<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Solve problems of mechanical form, mathematical and applied physics equations,<\/li><li>Data mining, machine learning,<\/li><li>Image processing,<\/li><li>Optimum control, dynamic system,<\/li><li>Modeling complex systems.<\/li><\/ul>\n\n\n\n<p><strong>&nbsp;2. Optimization methods and applications<\/strong><strong><\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Multi-objective optimization,<\/li><li>Non-convex optimization, DC optimization,<\/li><li>Network optimization problems,<\/li><li>Methods for solving large-scale optimization problems,<\/li><li>Optimization problems applied in financial economics, transportation, telecommunications, agriculture, health&#8230;<\/li><\/ul>\n\n\n\n<p><strong>3. Stochastic process<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Financial math,<\/li><li>Data analysis and experimental design,<\/li><li>Simulation of a stochastic process in a complex system,<\/li><li>Stochastic processes and applications.<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">For PhD Students of Department of Informatics and Mathematics<\/h3>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;<strong>1. Soft computing and high-performance computing<\/strong><strong><\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Research on soft computing methods such as Neural networks, computational simulation of natural processes;<\/li><li>Research on high-performance computing methods, methods of using multiple concurrent computing resources, parallel computing, multi-threading, hyper-threading and multitasking computing;<\/li><li>Quantum computing.<\/li><\/ul>\n\n\n\n<p>&nbsp;<strong>2. Discrete math, combinatorial theory and graph theory<\/strong><strong><\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Studying combinatorial structures appearing in algebraic contexts or applying algebraic techniques in combinatorial problems;<\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>Research on graph structure, mathematical structure used to describe relationships between objects;<\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>Research on optimization problems on graphs, parameterization algorithms, approximation algorithms, structural properties on graphs, parameters of graphs, etc.<\/li><\/ul>\n\n\n\n<p><strong>3. Code theory, privacy and information security<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Variable length code theory;<\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>Research on cryptographic systems, cryptanalysis and anti-cryptanalysis;<\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>Research risks and develop solutions in information safety and security;<\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>\u00a0Hiding information and applications;<\/li><\/ul>\n\n\n\n<p><strong>4. Data Science<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Big data, data warehousing, data mining and knowledge discovery, machine learning;<\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>Large and\/or complex data structures for which traditional data processing methods have proved unsuitable;<\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>Issues related to data mining;<\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>Search problems (exact, approximate), information extraction.<\/li><\/ul>\n\n\n\n<p><strong>5. Mathematical logic and set theory<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Research on applications of formal logic in mathematics and computer science theory;<\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>Research on set theory using the perspectives of mathematical logic;<\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>Research on model theory, research theory on mathematical structures such as groups, rings, fields or other algebraic structures, graphs or other discrete structures using tools of mathematical logic;<\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>Research on theory of computation using tools of mathematical logic, Turing machines, problems of determinism of algorithms, polynomial derivation and computational complexity.<\/li><\/ul>\n\n\n\n<p><strong>6. Computer graphics and multimedia<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>For PhD students of \u00a0Department of Theorical Mathematics: 1. Differential and integral equations Linear and nonlinear differential equations in Banach spaces; Semi-linear partial differential equation; Optimal control problems for differential equations and partial differential equations; Problems determining coefficients for partial differential equations, inverse problems, etc. 2. Caculus Integral transform; Functional analysis; [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[69],"tags":[],"class_list":["post-890","post","type-post","status-publish","format-standard","hentry","category-doctoral-training"],"_links":{"self":[{"href":"https:\/\/fami.hust.edu.vn\/en\/wp-json\/wp\/v2\/posts\/890","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/fami.hust.edu.vn\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/fami.hust.edu.vn\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/fami.hust.edu.vn\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/fami.hust.edu.vn\/en\/wp-json\/wp\/v2\/comments?post=890"}],"version-history":[{"count":1,"href":"https:\/\/fami.hust.edu.vn\/en\/wp-json\/wp\/v2\/posts\/890\/revisions"}],"predecessor-version":[{"id":891,"href":"https:\/\/fami.hust.edu.vn\/en\/wp-json\/wp\/v2\/posts\/890\/revisions\/891"}],"wp:attachment":[{"href":"https:\/\/fami.hust.edu.vn\/en\/wp-json\/wp\/v2\/media?parent=890"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/fami.hust.edu.vn\/en\/wp-json\/wp\/v2\/categories?post=890"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/fami.hust.edu.vn\/en\/wp-json\/wp\/v2\/tags?post=890"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}