{"id":907,"date":"2023-07-10T15:01:27","date_gmt":"2023-07-10T06:01:27","guid":{"rendered":"https:\/\/www.elst.okayama-u.ac.jp\/en\/?page_id=907"},"modified":"2025-01-22T15:53:44","modified_gmt":"2025-01-22T06:53:44","slug":"areas02_data","status":"publish","type":"page","link":"https:\/\/www.elst.okayama-u.ac.jp\/en\/education\/mc-suuri\/areas02_data\/","title":{"rendered":"Applied Mathematics"},"content":{"rendered":"<h4><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter \" src=\"https:\/\/www.elst.okayama-u.ac.jp\/up_load_files\/areas\/areas02_data\/theme.jpg\" width=\"433\" height=\"325\"><\/h4>\n<p><span style=\"font-size: 12pt\">The main research theme of our group is developing and explicating fundamental theories for mathematical models via applications of commutative algebra and probability theory to computational algebra and stochastic models. <\/span><\/p>\n<table class=\"el_table_fix\" style=\"width: 100%\">\n<tbody>\n<tr>\n<th style=\"width: 20%\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium\" src=\"https:\/\/www.elst.okayama-u.ac.jp\/up_load_files\/areas\/areas02_data\/HAYASAKA Futoshi.JPG\" width=\"320\" height=\"408\"><\/th>\n<td style=\"width: 80%\">\n<ul>\n<li style=\"list-style-type: none;font-size: 12px;margin-left: -20px\"><span style=\"font-size: 12pt\">Prof. HAYASAKA Futoshi<\/span><\/li>\n<li style=\"list-style-type: none;font-size: 12px;margin-left: -20px\"><span style=\"font-size: 12pt\">E-mail: hayasaka <span style=\"color: #0000ff\">[at]<\/span> okayama-u.ac.jp<\/span><\/li>\n<li style=\"list-style-type: none;font-size: 12px;margin-left: -20px\"><span style=\"font-size: 12pt\">algebra, commutative algebra&nbsp;\n<p><\/span><\/li>\n<\/ul>\n<p><span style=\"font-size: 12pt\"><a class=\"el_linkBtn\" href=\"https:\/\/soran.cc.okayama-u.ac.jp\/html\/6e177ee4b6bef46474506e4da22f6611_en.html\">Directory of Researchers<\/a> \u3000<a class=\"el_linkBtn\" href=\"http:\/\/www.mtds.okayama-u.ac.jp\/faculty_members\/fhayasaka\/\">Link to homepage<\/a><\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>My research interests lie in commutative algebra, homological algebra, and combinatrics. Among these topics, I am particularly interested in the theory of integral closure and multiplicity for modules. I am also interested in computational aspects of commutative algebra and its applications to mathematical and data sciences.<\/p>\n<p>&nbsp;<\/p>\n<table class=\"el_table_fix\" style=\"width: 100%\">\n<tbody>\n<tr>\n<th style=\"width: 20%\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium\" src=\"https:\/\/www.elst.okayama-u.ac.jp\/up_load_files\/areas\/areas02_data\/KAWAMOTO Yosuke.JPG\" width=\"320\" height=\"408\"><\/th>\n<td style=\"width: 80%\">\n<ul>\n<li style=\"list-style-type: none;font-size: 12px;margin-left: -20px\"><span style=\"font-size: 12pt\">Assoc. Prof. KAWAMOTO Yosuke<\/span><\/li>\n<li style=\"list-style-type: none;font-size: 12px;margin-left: -20px\"><span style=\"font-size: 12pt\">E-mail: <span id=\"content_ousdb1_lp$002fitem$005b9$005d$002fsys_mail\">y-kawamoto<span style=\"color: #0000ff\"> [at]<\/span> <\/span>okayama-u.ac.jp<\/span><\/li>\n<li style=\"list-style-type: none;font-size: 12px;margin-left: -20px\"><span style=\"font-size: 12pt\">probability theory, analysis, random matrices, infinite particle systems&nbsp;\n<p><\/span><\/li>\n<\/ul>\n<p><span style=\"font-size: 12pt\"><a class=\"el_linkBtn\" href=\"https:\/\/soran.cc.okayama-u.ac.jp\/html\/f5c5f5b65f24e484131ccc8b2ee413f8_en.html\">Directory of Researchers<\/a>\u3000<a class=\"el_linkBtn\" href=\"https:\/\/www.mtds.okayama-u.ac.jp\/faculty_members\/kawamoto\/index.html\">Link to homepage<\/a><\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>My research field is probability theory and related topics. I mainly conduct research on random matrices, which are important probability models. This includes developing a general theory, performing specific calculations, and exploring potential applications. In particular, I am interested in particle systems motivated by random matrices, and my main focus is the analysis on stochastic processes corresponding to infinite particle systems.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The main research theme of our group is developing and explicating fundamental theories for mathematical model [&hellip;]<\/p>\n","protected":false},"author":5,"featured_media":0,"parent":140,"menu_order":35,"comment_status":"closed","ping_status":"closed","template":"template-layout_single.php","meta":{"footnotes":""},"class_list":["post-907","page","type-page","status-publish","hentry"],"aioseo_notices":[],"publishpress_future_action":{"enabled":false,"date":"2026-05-09 07:42:00","action":"change-status","newStatus":"draft","terms":[],"taxonomy":"","extraData":[]},"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.elst.okayama-u.ac.jp\/en\/wp-json\/wp\/v2\/pages\/907","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.elst.okayama-u.ac.jp\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.elst.okayama-u.ac.jp\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.elst.okayama-u.ac.jp\/en\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/www.elst.okayama-u.ac.jp\/en\/wp-json\/wp\/v2\/comments?post=907"}],"version-history":[{"count":7,"href":"https:\/\/www.elst.okayama-u.ac.jp\/en\/wp-json\/wp\/v2\/pages\/907\/revisions"}],"predecessor-version":[{"id":2689,"href":"https:\/\/www.elst.okayama-u.ac.jp\/en\/wp-json\/wp\/v2\/pages\/907\/revisions\/2689"}],"up":[{"embeddable":true,"href":"https:\/\/www.elst.okayama-u.ac.jp\/en\/wp-json\/wp\/v2\/pages\/140"}],"wp:attachment":[{"href":"https:\/\/www.elst.okayama-u.ac.jp\/en\/wp-json\/wp\/v2\/media?parent=907"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}