{"id":25777,"date":"2025-12-09T18:25:34","date_gmt":"2025-12-09T10:25:34","guid":{"rendered":"https:\/\/cantor.math.ntnu.edu.tw\/?page_id=25777"},"modified":"2025-12-09T18:37:26","modified_gmt":"2025-12-09T10:37:26","slug":"development-directions","status":"publish","type":"page","link":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/en\/about-en\/development-directions\/","title":{"rendered":"Development Directions"},"content":{"rendered":"\t\t
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Development Directions <\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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From 2026 to 2030, the Department of Mathematics at National Taiwan Normal University will focus on three major directions: academic research, talent cultivation, and international <\/span>collaboration.<\/span> In research, the department will continue integrating pure and applied mathematics, with emphasis on optimization, machine learning, and scientific computing, thereby enhancing research capacity and responding to technological and societal <\/span>needs.<\/span> In talent cultivation, the department plans to deepen curriculum content, strengthen students\u2019 mathematical foundations and interdisciplinary skills, and promote innovative <\/span>teaching.<\/span> Faculty and students will be encouraged to <\/span>participate<\/span> in research projects and international competitions, nurturing professionals with a global <\/span>vision.<\/span> Furthermore, the department will actively expand international exchanges through conferences and collaborative platforms, enhancing academic influence and fostering diverse <\/span>cooperation.<\/span> In celebration of its 80th anniversary in 2026, a series of events will unite alumni and faculty, <\/span>showcasing<\/span> the fusion of tradition and <\/span>innovation.<\/span> Overall, the five-year strategy balances academic depth with social engagement, aiming to advance research, teaching, and internationalization, and to solidify the department<\/span>‘<\/span>s position both domestically and <\/span>globally.<\/span><\/span>\u00a0<\/span><\/span><\/p>

The department has outlined six key <\/span>directions:<\/span><\/span>\u00a0<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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\n\t\t\t\t\t\t\t\t\t\t\t\t1. Integration of Computational Mathematics, Optimization, and Statistics for AI, Medical Imaging, and Data Science Research <\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t
  1. Core idea: Combine computational mathematics for algorithm stability, optimization theory for model training and generalization, and statistical inference for uncertainty <\/span>analysis.<\/span><\/span>\u00a0<\/span><\/li>
  2. Research includes optimal transport geometric mapping for tumor imaging, multimodal fusion for Alzheimer\u2019s diagnosis, and spatio-temporal statistical modeling for infectious <\/span>diseases.<\/span><\/span>\u00a0<\/span><\/li>
  3. Strategies: Collaborate with medical centers, standardize data preprocessing, and promote open-source <\/span>reproducibility.<\/span><\/span>\u00a0<\/span><\/li><\/ol><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t
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    \n\t\t\t\t\t\t\t\t\t\t\t\t2. High-Performance Scientific Computing (HPC) Platform Development <\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t
    1. Focus on structure-preserving algorithms, geometric computing, and AI-assisted <\/span>simulators.<\/span><\/span>\u00a0<\/span><\/li>
    2. Applications include UAV control, medical image registration, and engineering <\/span>design.<\/span><\/span>\u00a0<\/span><\/li>
    3. Strategies: phased resource acquisition, containerized deployment, open-source ecosystem, and industry <\/span>collaboration.<\/span><\/span>\u00a0<\/span><\/li><\/ol><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t
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      \n\t\t\t\t\t\t\t\t\t\t\t\t3. Integration of Mathematics Education, History of Mathematics, and Artificial Intelligence <\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t
      1. Explore mathematical literacy in the AI era, AI-assisted teaching, and the philosophical context of mathematics in <\/span>technology.<\/span><\/span>\u00a0<\/span><\/li>
      2. Develop interactive teaching platforms and AI-based educational <\/span>systems.<\/span><\/span>\u00a0<\/span><\/li>
      3. Strategies: introduce AI modules in teacher training, build teaching robots, and establish experimental <\/span>platforms.<\/span><\/span>\u00a0<\/span><\/li><\/ol><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t
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        \n\t\t\t\t\t\t\t\t\t\t\t\t4. Advancement in Geometric Measure Theory (GMT) and Mathematical Analysis <\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t
        1. Promote research in geometric analysis, variational methods, and <\/span>PDEs.<\/span><\/span>\u00a0<\/span><\/li>
        2. Applications in medical imaging, fluid dynamics, and high-dimensional <\/span>data.<\/span><\/span>\u00a0<\/span><\/li>
        3. Strategies: host international seminars, attract global graduate students, and foster interdisciplinary <\/span>collaboration.<\/span><\/span>\u00a0<\/span><\/li><\/ol><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t
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          \n\t\t\t\t\t\t\t\t\t\t\t\t5. Deepening Combinatorics and Expanding Information Applications <\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t
          1. Strengthen algebraic and enumerative combinatorics, with applications in cryptography, coding theory, big data, and quantum <\/span>computing.<\/span><\/span>\u00a0<\/span><\/li>
          2. Strategies: interdisciplinary courses, research groups, and symbolic computation <\/span>tools (<\/span>SageMath, GAP, Magma<\/span>).<\/span><\/span>\u00a0<\/span><\/li><\/ol><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t
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            \n\t\t\t\t\t\t\t\t\t\t\t\t6. Reconstruction and Strategic Development of Algebra Research Group<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t
            1. Focus on arithmetic geometry, p-adic algebraic geometry, and algebraic dynamical <\/span>systems.<\/span><\/span>\u00a0<\/span><\/li>
            2. Expand into computational algebra and information <\/span>security.<\/span><\/span>\u00a0<\/span><\/li>
            3. Strategies: recruit young scholars, modernize curricula, and establish <\/span>a \u201c<\/span>Algebra and Applications\u201d research <\/span>cluster.<\/span><\/span>\u00a0<\/span><\/li><\/ol><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

              Development Directions From 2026 to 2030, the Departmen […]<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":5576,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ocean_post_layout":"full-width","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"0","ocean_second_sidebar":"0","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"0","ocean_custom_header_template":"0","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"0","ocean_menu_typo_font_family":"0","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"0","footnotes":""},"class_list":["post-25777","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/pages\/25777","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/comments?post=25777"}],"version-history":[{"count":7,"href":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/pages\/25777\/revisions"}],"predecessor-version":[{"id":25785,"href":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/pages\/25777\/revisions\/25785"}],"up":[{"embeddable":true,"href":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/pages\/5576"}],"wp:attachment":[{"href":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/media?parent=25777"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}