{"id":3682,"date":"2025-11-28T16:46:20","date_gmt":"2025-11-28T07:46:20","guid":{"rendered":"https:\/\/emme.riko.akita-u.ac.jp\/?page_id=3682"},"modified":"2025-11-28T16:46:21","modified_gmt":"2025-11-28T07:46:21","slug":"math_earth","status":"publish","type":"page","link":"https:\/\/emme.riko.akita-u.ac.jp\/en\/research_contents\/math_earth\/","title":{"rendered":"Mathematical Science &amp; Global Environmental Studies Course"},"content":{"rendered":"\n<h2 class=\"wp-block-heading is-style-heading-style-4\">Four Distinct Research Fields<\/h2>\n\n\n\n<p>The Mathematical Science &amp; Global Environmental Studies Course features four distinctive educational and research themes.<br>Our goal is to apply data science, AI, and computer science across the three major natural science disciplines\u2014mathematics, theoretical physics, and earth science.<\/p>\n\n\n\n<div style=\"height:25px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">1.\u3000Discrete Mathematics<\/h3>\n\n\n\n<p>We study algebraic structures developed from solving equations, as well as discrete mathematics, which forms the foundations of data science, AI, and network science. These areas constitute essential fundamentals of computer science.<\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-2 is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" data-id=\"1467\" src=\"https:\/\/emme.riko.akita-u.ac.jp\/wp-content\/uploads\/2025\/01\/IMG_3145-1024x1024.jpeg\" alt=\"\" class=\"wp-image-1467\"\/><figcaption class=\"wp-element-caption\"><strong><strong>Fractal structures (Romanesco)<\/strong><\/strong><\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" data-id=\"1465\" src=\"https:\/\/emme.riko.akita-u.ac.jp\/wp-content\/uploads\/2025\/01\/IMG_1987-768x1024.jpeg\" alt=\"\" class=\"wp-image-1465\"\/><figcaption class=\"wp-element-caption\"><strong><strong>Fibonacci numbers in sunflowers<\/strong><\/strong><\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" data-id=\"317\" src=\"https:\/\/emme.riko.akita-u.ac.jp\/wp-content\/uploads\/2024\/07\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-07-24-14.34.03.png\" alt=\"\" class=\"wp-image-317\"\/><figcaption class=\"wp-element-caption\"><strong><strong>Cayley graphs of free groups<\/strong><\/strong><\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" data-id=\"306\" src=\"https:\/\/emme.riko.akita-u.ac.jp\/wp-content\/uploads\/2024\/07\/IMG_2120-scaled-1-1024x768.jpg\" alt=\"\" class=\"wp-image-306\"\/><figcaption class=\"wp-element-caption\"><strong><strong>Combinatorial designs on a cube<\/strong><\/strong><\/figcaption><\/figure>\n<\/figure>\n\n\n\n<ul class=\"wp-block-list list_arrow\">\n<li><a href=\"\/mathematical_science\/algebra\/\" target=\"_blank\" rel=\"noreferrer noopener\">Algebra<\/a><\/li>\n\n\n\n<li><a href=\"\/mathematical_science\/discrete_mathematics\/\" target=\"_blank\" rel=\"noreferrer noopener\">Discrete mathematics<\/a><\/li>\n\n\n\n<li><a href=\"\/mathematical_science\/computer_science\/\" target=\"_blank\" rel=\"noreferrer noopener\">Computer science<\/a><\/li>\n\n\n\n<li><a href=\"\/mathematical_science\/cryptography_and_information_security\/\" target=\"_blank\" rel=\"noreferrer noopener\">Cryptography and information security<\/a><\/li>\n<\/ul>\n\n\n\n<div style=\"height:25px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">2.\u3000Continuous Mathematics<\/h3>\n\n\n\n<p>Concepts in analysis\u2014such as differential equations, Fourier analysis, complex analysis, and probability theory\u2014are widely used for modeling natural phenomena. We also conduct research in geometry, which captures shapes and notions of closeness.<\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-2 is-cropped wp-block-gallery-2 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" data-id=\"205\" src=\"https:\/\/emme.riko.akita-u.ac.jp\/wp-content\/uploads\/2024\/07\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-07-23-15.08.07.png\" alt=\"\" class=\"wp-image-205\"\/><figcaption class=\"wp-element-caption\"><strong><strong>Two-dimensional turbulence on a rotating sphere<\/strong><\/strong><\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" data-id=\"789\" src=\"https:\/\/emme.riko.akita-u.ac.jp\/wp-content\/uploads\/2024\/07\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-07-27-9.41.13-1.png\" alt=\"\" class=\"wp-image-789\"\/><figcaption class=\"wp-element-caption\"><strong><strong>Visualization of manifolds<\/strong><\/strong><\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" data-id=\"197\" src=\"https:\/\/emme.riko.akita-u.ac.jp\/wp-content\/uploads\/2024\/07\/\u56f31-3.png\" alt=\"\" class=\"wp-image-197\"\/><figcaption class=\"wp-element-caption\"><strong><strong>Celtic knot patterns<\/strong><\/strong><\/figcaption><\/figure>\n<\/figure>\n\n\n\n<div class=\"wp-block-group has-global-padding is-layout-constrained wp-container-core-group-is-layout-597741b9 wp-block-group-is-layout-constrained\" style=\"padding-top:var(--wp--preset--spacing--30);padding-bottom:var(--wp--preset--spacing--30)\">\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-3 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" data-id=\"1511\" src=\"https:\/\/emme.riko.akita-u.ac.jp\/wp-content\/uploads\/2025\/01\/IMG_3067-683x1024.jpeg\" alt=\"\" class=\"wp-image-1511\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" data-id=\"1512\" src=\"https:\/\/emme.riko.akita-u.ac.jp\/wp-content\/uploads\/2025\/01\/IMG_3044-1024x683.jpeg\" alt=\"\" class=\"wp-image-1512\"\/><\/figure>\n<\/figure>\n<\/div>\n\n\n\n<ul class=\"wp-block-list list_arrow\">\n<li><a href=\"\/mathematical_science\/analysis_and_numerical_analysis\/\" target=\"_blank\" rel=\"noreferrer noopener\">Analysis and numerical analysis<\/a><\/li>\n\n\n\n<li><a href=\"\/mathematical_science\/geometry\/\" target=\"_blank\" rel=\"noreferrer noopener\">Geometry<\/a><\/li>\n<\/ul>\n\n\n\n<div style=\"height:25px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">3.\u3000Theoretical Physics<\/h3>\n\n\n\n<p>Elementary particles such as quarks, electrons, and photons possess mysterious properties that cannot be explained by classical mechanics.<br>Quantum science holds the potential to drive revolutionary innovations\u2014including quantum computers, quantum cryptography, and quantum teleportation.<\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-4 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" data-id=\"1455\" src=\"https:\/\/emme.riko.akita-u.ac.jp\/wp-content\/uploads\/2024\/12\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-12-30-16.25.11.png\" alt=\"\" class=\"wp-image-1455\"\/><figcaption class=\"wp-element-caption\"><strong><strong>Quantum entanglement: two particles acting together even when far apartQuantum entanglement: two particles acting together even when far apart<\/strong><\/strong><\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" data-id=\"1471\" src=\"https:\/\/emme.riko.akita-u.ac.jp\/wp-content\/uploads\/2025\/01\/26304990_l-1024x576.jpg\" alt=\"\" class=\"wp-image-1471\"\/><figcaption class=\"wp-element-caption\"><strong>Conceptual image of a quantum computer<\/strong><\/figcaption><\/figure>\n<\/figure>\n\n\n\n<ul class=\"wp-block-list list_arrow\">\n<li><a href=\"\/mathematical_science\/quantum_science\/\" target=\"_blank\" rel=\"noreferrer noopener\">Quantum science<\/a><\/li>\n\n\n\n<li><a href=\"\/mathematical_science\/quantum_information_science\/\" target=\"_blank\" rel=\"noreferrer noopener\">Quantum information science<\/a><\/li>\n<\/ul>\n\n\n\n<div style=\"height:25px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">4.\u3000Earth Environmental Science<\/h3>\n\n\n\n<p>Earth science is an interdisciplinary field that seeks to understand all past, present, and future phenomena of our planet.<br>We analyze geophysical survey data, chemical analyses, image data, and more to uncover the physical and chemical processes underlying natural phenomena.<\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-5 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" data-id=\"671\" src=\"https:\/\/emme.riko.akita-u.ac.jp\/wp-content\/uploads\/2024\/07\/IMG_0906-1.jpeg\" alt=\"\" class=\"wp-image-671\"\/><figcaption class=\"wp-element-caption\"><strong><strong>U\u2013Pb age dating of rocks<\/strong><\/strong><\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" data-id=\"157\" src=\"https:\/\/emme.riko.akita-u.ac.jp\/wp-content\/uploads\/2024\/07\/\u67d8\u69b4\u77f3-1024x740-1.jpeg\" alt=\"\" class=\"wp-image-157\"\/><figcaption class=\"wp-element-caption\"><strong><strong>Development of isotope analysis methods<\/strong><\/strong><\/figcaption><\/figure>\n<\/figure>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-6 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" data-id=\"681\" src=\"https:\/\/emme.riko.akita-u.ac.jp\/wp-content\/uploads\/2024\/07\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-07-23-14.23.53-1.png\" alt=\"\" class=\"wp-image-681\"\/><figcaption class=\"wp-element-caption\"><strong><strong>Machine learning applied to magma properties<\/strong><\/strong><\/figcaption><\/figure>\n<\/figure>\n\n\n\n<ul class=\"wp-block-list list_arrow\">\n<li><a href=\"\/earth_science\/geochemistry\/\" target=\"_blank\" rel=\"noreferrer noopener\">Geochemistry<\/a><\/li>\n\n\n\n<li><a href=\"\/earth_science\/earth_materials_science\/\" target=\"_blank\" rel=\"noreferrer noopener\">Earth materials science<\/a><\/li>\n\n\n\n<li><a href=\"\/earth_science\/solid_earth_science\/\" target=\"_blank\" rel=\"noreferrer noopener\">Solid earth science<\/a><\/li>\n\n\n\n<li><a href=\"\/earth_science\/applied_earth_science\/\" target=\"_blank\" rel=\"noreferrer noopener\">Applied earth science<\/a><\/li>\n<\/ul>\n\n\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h3 class=\"wp-block-heading is-style-heading-style-3\">Introduction to the Mathematical Science Course<\/h3>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large\"><a href=\"https:\/\/www.youtube.com\/watch?v=zPdhGyORZQc&amp;t=2s\" target=\"_blank\" rel=\" noreferrer noopener\"><img decoding=\"async\" src=\"https:\/\/emme.riko.akita-u.ac.jp\/wp-content\/uploads\/2024\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-09-24-18.03.50-1024x536.png\" alt=\"\" class=\"wp-image-1112\" style=\"object-fit:cover\"\/><\/a><\/figure>\n\n\n\n<p>For a student-led introduction to the course, please click below.<br>(<a href=\"https:\/\/www.youtube.com\/watch?v=zPdhGyORZQc\" target=\"_blank\" rel=\"noreferrer noopener\">Link to student introduction<\/a>)<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h3 class=\"wp-block-heading is-style-heading-style-3\">Introduction to Research Laboratories<\/h3>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large\"><a href=\"https:\/\/www.youtube.com\/watch?v=HO-n3qBg0qc&amp;t=1s\" target=\"_blank\" rel=\" noreferrer noopener\"><img decoding=\"async\" src=\"https:\/\/emme.riko.akita-u.ac.jp\/wp-content\/uploads\/2024\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-09-24-18.05.52-1024x535.jpg\" alt=\"\" class=\"wp-image-1115\" style=\"object-fit:cover\"\/><\/a><\/figure>\n\n\n\n<p>Student-produced introductions to our laboratories can be viewed here.<br>(<a href=\"https:\/\/www.youtube.com\/watch?v=HO-n3qBg0qc\" target=\"_blank\" rel=\"noreferrer noopener\">Link to lab introduction videos\/pages<\/a>)<\/p>\n<\/div>\n<\/div>\n\n\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading is-style-heading-style-4\">Researcher Interview<\/h2>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"410\" src=\"https:\/\/emme.riko.akita-u.ac.jp\/wp-content\/uploads\/2025\/06\/vol93_top-1024x410.jpg\" alt=\"\" class=\"wp-image-2737\" style=\"width:600px\" srcset=\"https:\/\/emme.riko.akita-u.ac.jp\/wp-content\/uploads\/2025\/06\/vol93_top-1024x410.jpg 1024w, https:\/\/emme.riko.akita-u.ac.jp\/wp-content\/uploads\/2025\/06\/vol93_top-300x120.jpg 300w, https:\/\/emme.riko.akita-u.ac.jp\/wp-content\/uploads\/2025\/06\/vol93_top-768x307.jpg 768w, https:\/\/emme.riko.akita-u.ac.jp\/wp-content\/uploads\/2025\/06\/vol93_top.jpg 1200w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"has-text-align-center\"><a class=\"a_arrow\" href=\"https:\/\/www.akita-u.ac.jp\/honbu\/lab\/vol_93.html\" target=\"_blank\" rel=\"noreferrer noopener\">Proposing What Cannot Be Done Using Algebra \u2014 Proofs of Impossibility<\/a>\u201d<br>Interview with Prof. Akihiro Yamamura<\/p>\n\n\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading is-style-heading-style-4\">Mini Lecture by Assoc. Prof. Fazekas Szil\u00e1rd Zsolt: \u201cGraph Theory\u201d<\/h2>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><a href=\"https:\/\/www.youtube.com\/watch?v=w3jK8YJkZ64\" target=\"_blank\" rel=\" noreferrer noopener\"><img decoding=\"async\" src=\"https:\/\/emme.riko.akita-u.ac.jp\/wp-content\/uploads\/2024\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-09-24-18.27.17-1024x532.png\" alt=\"\" class=\"wp-image-1133\" style=\"width:600px\"\/><\/a><\/figure>\n\n\n\n<p class=\"has-text-align-center\">Please click below for the full interviews.<br>(<a href=\"https:\/\/www.youtube.com\/watch?v=w3jK8YJkZ64\" target=\"_blank\" rel=\"noreferrer noopener\">Link<\/a>)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Four Distinct Research Fields The Mathematical Science &amp; Global Environmental Studies Course features four distinctive educational and research themes.Our goal is to apply data science, AI, and computer science across the three major natural science disciplines\u2014mathematics, theoretical physics, and earth science. 1.\u3000Discrete Mathematics We study algebraic structures developed from solving equations, as well as discrete [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1851,"parent":3651,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_locale":"en_US","_original_post":"https:\/\/emme.riko.akita-u.ac.jp\/?page_id=42","footnotes":""},"class_list":["post-3682","page","type-page","status-publish","has-post-thumbnail","hentry","en-US"],"_links":{"self":[{"href":"https:\/\/emme.riko.akita-u.ac.jp\/wp-json\/wp\/v2\/pages\/3682","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/emme.riko.akita-u.ac.jp\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/emme.riko.akita-u.ac.jp\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/emme.riko.akita-u.ac.jp\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/emme.riko.akita-u.ac.jp\/wp-json\/wp\/v2\/comments?post=3682"}],"version-history":[{"count":1,"href":"https:\/\/emme.riko.akita-u.ac.jp\/wp-json\/wp\/v2\/pages\/3682\/revisions"}],"predecessor-version":[{"id":3683,"href":"https:\/\/emme.riko.akita-u.ac.jp\/wp-json\/wp\/v2\/pages\/3682\/revisions\/3683"}],"up":[{"embeddable":true,"href":"https:\/\/emme.riko.akita-u.ac.jp\/wp-json\/wp\/v2\/pages\/3651"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/emme.riko.akita-u.ac.jp\/wp-json\/wp\/v2\/media\/1851"}],"wp:attachment":[{"href":"https:\/\/emme.riko.akita-u.ac.jp\/wp-json\/wp\/v2\/media?parent=3682"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}