{"id":3674,"date":"2023-11-13T14:59:01","date_gmt":"2023-11-13T13:59:01","guid":{"rendered":"https:\/\/www.uni.lu\/research-en\/blog\/research-areas\/discrete-and-geometric-analysis\/"},"modified":"2026-03-04T09:26:50","modified_gmt":"2026-03-04T08:26:50","slug":"discrete-and-geometric-analysis","status":"publish","type":"research-areas","link":"https:\/\/www.uni.lu\/research-en\/research-areas\/discrete-and-geometric-analysis\/","title":{"rendered":"Discrete and geometric analysis"},"content":{"rendered":"\n<div class=\"wp-block-unilux-blocks-wrapper max-w-screen-3xl mx-auto section\">\n<section class=\"section no-padding-y wp-block-unilux-blocks-hero\">\n    <div class=\"hero hero--2 hero--overlay-top hero--overlay-bottom\">\n        \n<header class=\"wp-block-unilux-blocks-wrapper hero__header\">\n<div class=\"wp-block-unilux-blocks-wrapper hero__container\">\n<span class=\"hero__title__subject wp-block-unilux-blocks-plain-text\"><\/span>\n\n\n<h1 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"investigate-discrete-structures-and-geometries\"\n    >\nInvestigate discrete structures and geometries<\/h1>\n<\/div>\n<\/header>\n<figure class=\"wp-block-dev4-reusable-blocks-image hero__visual object-fit--cover\">\n    \n<img decoding=\"async\" class=\"wp-block-image unilux-custom-image-block\"\n                alt=\"ResearchArea DMATH DGA nick-hillier-aQcE3gDSSTY-unsplash\"\n            src=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/ResearchArea_DMATH_DGA_nick-hillier-aQcE3gDSSTY-unsplashu6aQpP.jpg\"\n                srcset=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/ResearchArea_DMATH_DGA_nick-hillier-aQcE3gDSSTY-unsplashu6aQpP-300x200.jpg 300w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/ResearchArea_DMATH_DGA_nick-hillier-aQcE3gDSSTY-unsplashu6aQpP-1024x682.jpg 1024w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/ResearchArea_DMATH_DGA_nick-hillier-aQcE3gDSSTY-unsplashu6aQpP-768x512.jpg 768w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/ResearchArea_DMATH_DGA_nick-hillier-aQcE3gDSSTY-unsplashu6aQpP-1536x1024.jpg 1536w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/ResearchArea_DMATH_DGA_nick-hillier-aQcE3gDSSTY-unsplashu6aQpP.jpg 2000w\"\n                style=\"object-position: 50.00% 50.00%; font-family: &quot;object-fit: cover; object-position: 50.00% 50.00%;&quot;; aspect-ratio: 16\/9; object-fit: cover; width: 100%;\"\n        loading=\"lazy\"\n\/>    <\/figure>\n<div class=\"wp-block-unilux-blocks-wrapper hero__body\">\n<div class=\"wp-block-unilux-blocks-wrapper hero__container\">\n<p class=\"wp-block-unilux-blocks-plain-text\">Developing geometrical analysis and associated methods<\/p>\n\n\n<ul class=\"wp-block-unilux-blocks-custom-buttons btn-list\"><li class=\"wp-block-unilux-blocks-custom-button\"    aria-disabled=\"false\"\n    >\n    <a\n        role=\"link\"\n        aria-disabled=\"false\"\n                    href=\"#groups\"\n                target=\"_self\"\n        class=\"btn btn--primary\"\n            > Research groups<\/a>\n<\/li>\n\n\n<\/ul>\n<\/div>\n<\/div>\n    <\/div>\n<\/section><\/div>\n\n\n\n<section class=\"wp-block-unilux-blocks-free-section section\"><div class=\"container xl:max-w-screen-xl\">\n<h2 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"about\"\n    >\n成人头条<\/h2>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>The discrete analysis and geometry research area applies analysis to investigate discrete structures and geometries. It covers some areas of combinatorial geometry, harmonic analysis, functional equations, and convexity, among other aspects.<br>At DMATH, we also contribute to current developments in geometric analysis, where questions of differential geometry \u2013 such as the properties of minimal surfaces \u2013 are studied using analytical techniques.<br>The following scientists and their groups contribute to the research in this area: Jean-Luc Marichal, Martin Olbrich, Jean-Marc Schlenker, Bruno Teheux<br><\/p>\n<\/div>\n<\/div><\/section>\n\n\n\n<section class=\"py-0 wp-block-unilux-blocks-free-section section\"><div class=\"container xl:max-w-screen-xl\">\n<h3 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"groups\"\n    >\nResearch groups<\/h3>\n\n\n<ul class=\"flex flex-wrap mt-24 -mx-16  wp-block-unilux-blocks-free-content-card\">\n    <li class=\"w-full sm:w-1\/2 lg:w-1\/3 px-16  wp-block-unilux-blocks-free-content-card-item\">\n    <div class=\"ulux-card card-residence bg-theme\">\n        <div class=\"ulux-card__container card__container\">\n                        <div class=\"ulux-card__visual wp-block-unilux-blocks-free-content-card-item-visual\">\n    \n<div class=\"wp-block-unilux-blocks-image-video-wrapper\">\n    <figure class=\"wp-block-dev4-reusable-blocks-image  object-fit--cover\">\n    \n<img decoding=\"async\" class=\"wp-block-image unilux-custom-image-block\"\n                alt=\"Jean-Luc Marichal&#039;s research group\"\n            src=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/Functional_equations.jpg\"\n                srcset=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/Functional_equations-300x204.jpg 300w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/Functional_equations-1024x697.jpg 1024w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/Functional_equations-768x523.jpg 768w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/Functional_equations.jpg 1329w\"\n                style=\"object-position: 50.00% 50.00%; font-family: &quot;object-fit: cover; object-position: 50.00% 50.00%;&quot;; aspect-ratio: 4\/3; object-fit: cover; width: 100%;\"\n        loading=\"lazy\"\n\/>    <\/figure><\/div><\/div><div class=\"ulux-card__body wp-block-unilux-blocks-free-content-card-item-body\">\n    \n<div class=\"ulux-card__category wp-block-unilux-blocks-plain-text\"><\/div>\n<h3 class=\"ulux-card__title has-text-align-left wp-block-unilux-blocks-heading\"        id=\"exploring-mathematical-laws-through-equations\"\n    >\n<strong><strong>Exploring Mathematical Laws through Equations<br><a href=\"https:\/\/www.uni.lu\/fstm-en\/research-groups\/exploring-mathematical-laws-through-equations\/\"><\/a><\/strong><\/strong><\/h3>\n<div class=\"ulux-card__link-wrapper card__link wp-block-unilux-blocks-simple-cta\">\n    <a\n        href=\"https:\/\/www.uni.lu\/fstm-en\/research-groups\/exploring-mathematical-laws-through-equations\/\"\n        class=\"link-text link-text--icon ulux-card__link link-text link-absolute\"\n        target=\"\"\n    >\n        <span class=\"link-text__body\">\n            <span class=\"link-text__name\">Learn more<\/span>\n        <\/span>\n        <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-right \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\"><\/use><\/svg>    <\/a>\n<\/div>\n<\/div>        <\/div>\n    <\/div>\n<\/li><li class=\"w-full sm:w-1\/2 lg:w-1\/3 px-16  wp-block-unilux-blocks-free-content-card-item\">\n    <div class=\"ulux-card card-residence bg-theme\">\n        <div class=\"ulux-card__container card__container\">\n                        <div class=\"ulux-card__visual wp-block-unilux-blocks-free-content-card-item-visual\">\n    \n<div class=\"wp-block-unilux-blocks-image-video-wrapper\">\n    <figure class=\"wp-block-dev4-reusable-blocks-image  object-fit--cover\">\n    \n<img decoding=\"async\" class=\"wp-block-image unilux-custom-image-block\"\n                alt=\"Geometric structure and moduli spaces\"\n            src=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/loustau1.png\"\n                srcset=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/loustau1-300x300.png 300w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/loustau1-1024x1024.png 1024w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/loustau1-150x150.png 150w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/loustau1-768x768.png 768w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/loustau1-1536x1536.png 1536w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/loustau1.png 1637w\"\n                style=\"object-position: 50.00% 50.00%; font-family: &quot;object-fit: cover; object-position: 50.00% 50.00%;&quot;; aspect-ratio: 4\/3; object-fit: cover; width: 100%;\"\n        loading=\"lazy\"\n\/>    <\/figure><\/div><\/div><div class=\"ulux-card__body wp-block-unilux-blocks-free-content-card-item-body\">\n    \n<div class=\"ulux-card__category wp-block-unilux-blocks-plain-text\"><\/div>\n<h3 class=\"ulux-card__title has-text-align-left wp-block-unilux-blocks-heading\"        id=\"geometric-structure-and-moduli-spaces\"\n    >\n<strong><strong>Geometric Structure and Moduli Spaces<br><a href=\"https:\/\/www.uni.lu\/fstm-en\/research-groups\/geometric-structure-and-moduli-spaces\/\"><\/a><\/strong><\/strong><\/h3>\n<div class=\"ulux-card__link-wrapper card__link wp-block-unilux-blocks-simple-cta\">\n    <a\n        href=\"https:\/\/www.uni.lu\/fstm-en\/research-groups\/geometric-structure-and-moduli-spaces\/\"\n        class=\"link-text link-text--icon ulux-card__link link-text link-absolute\"\n        target=\"\"\n    >\n        <span class=\"link-text__body\">\n            <span class=\"link-text__name\">Learn more<\/span>\n        <\/span>\n        <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-right \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\"><\/use><\/svg>    <\/a>\n<\/div>\n<\/div>        <\/div>\n    <\/div>\n<\/li><li class=\"w-full sm:w-1\/2 lg:w-1\/3 px-16  wp-block-unilux-blocks-free-content-card-item\">\n    <div class=\"ulux-card card-residence bg-theme\">\n        <div class=\"ulux-card__container card__container\">\n                        <div class=\"ulux-card__visual wp-block-unilux-blocks-free-content-card-item-visual\">\n    \n<div class=\"wp-block-unilux-blocks-image-video-wrapper\">\n    <figure class=\"wp-block-dev4-reusable-blocks-image  object-fit--cover\">\n    \n<img decoding=\"async\" class=\"wp-block-image unilux-custom-image-block\"\n                alt=\"Team Teheux\"\n            src=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/Teheux_Overview.jpg\"\n                srcset=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/Teheux_Overview-300x205.jpg 300w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/Teheux_Overview-1024x700.jpg 1024w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/Teheux_Overview-768x525.jpg 768w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/Teheux_Overview-1536x1051.jpg 1536w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/Teheux_Overview.jpg 2000w\"\n                style=\"object-position: 34.00% 54.00%; font-family: &quot;object-fit: cover; object-position: 34.00% 54.00%;&quot;; aspect-ratio: 4\/3; object-fit: cover; width: 100%;\"\n        loading=\"lazy\"\n\/>    <\/figure><\/div><\/div><div class=\"ulux-card__body wp-block-unilux-blocks-free-content-card-item-body\">\n    \n<div class=\"ulux-card__category wp-block-unilux-blocks-plain-text\"><\/div>\n<h3 class=\"ulux-card__title has-text-align-left wp-block-unilux-blocks-heading\"        id=\"non-classical-logics\"\n    >\n<strong><strong><strong>Non-Classical Logics<br><a href=\"https:\/\/www.uni.lu\/fstm-en\/research-groups\/non-classical-logics\/team-teheux\/\"><\/a><\/strong><\/strong><\/strong><\/h3>\n<div class=\"ulux-card__link-wrapper card__link wp-block-unilux-blocks-simple-cta\">\n    <a\n        href=\"https:\/\/www.uni.lu\/fstm-en\/research-groups\/non-classical-logics\/\"\n        class=\"link-text link-text--icon ulux-card__link link-text link-absolute\"\n        target=\"\"\n    >\n        <span class=\"link-text__body\">\n            <span class=\"link-text__name\">Learn more<\/span>\n        <\/span>\n        <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-right \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\"><\/use><\/svg>    <\/a>\n<\/div>\n<\/div>        <\/div>\n    <\/div>\n<\/li><\/ul><\/div><\/section>\n\n\n\n<section class=\"wp-block-unilux-blocks-free-section section\"><div class=\"container xl:max-w-screen-xl\">\n<h3 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"research-takes-place-at\"\n    >\nResearch takes place at:<\/h3>\n\n\n<ul class=\"wp-block-unilux-blocks-button-list\">\n    <li class=\"normal wp-block-unilux-blocks-button-list-item\">\n    <a\n            href=\"https:\/\/www.uni.lu\/fstm-en\/\"\n            class=\"quick-link wp-block-unilux-blocks-anchor\"        target=\"\"\n>\n    \n<span class=\"wp-block-unilux-blocks-wrapper quick-link__container\"><figure class=\"wp-block-dev4-reusable-blocks-image quick-link__img object-fit--cover\">\n    \n<img decoding=\"async\" class=\"wp-block-image unilux-custom-image-block\"\n                alt=\"\"\n            src=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2026\/03\/01200346\/university-of-luxembourg-fstm-symbol-only.svg\"\n                    style=\"object-position: 50.00% 50.00%; font-family: &quot;object-fit: cover; object-position: 50.00% 50.00%;&quot;; aspect-ratio: 1\/1; object-fit: cover; width: 100%;\"\n        loading=\"lazy\"\n\/>    <\/figure>\n\n\n<span class=\"quick-link__name wp-block-unilux-blocks-plain-text\">Faculty of Science, Technology and Medicine (FSTM)<\/span>\n\n<svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-right \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\"><\/use><\/svg><\/span>\n<\/a>\n<\/li><li class=\"image-rounded wp-block-unilux-blocks-button-list-item\">\n    <a\n            href=\"https:\/\/www.uni.lu\/fstm-en\/research-departments\/department-of-mathematics\/\"\n            class=\"quick-link wp-block-unilux-blocks-anchor\"        target=\"\"\n>\n    \n<span class=\"wp-block-unilux-blocks-wrapper quick-link__container\"><figure class=\"wp-block-dev4-reusable-blocks-image quick-link__img object-fit--cover\">\n    \n<img decoding=\"async\" class=\"wp-block-image unilux-custom-image-block\"\n                alt=\"Logo of Department of Mathematics\"\n            src=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/Mathematics-2048x2048-1.png\"\n                srcset=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/Mathematics-2048x2048-1-300x300.png 300w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/Mathematics-2048x2048-1-1024x1024.png 1024w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/Mathematics-2048x2048-1-150x150.png 150w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/Mathematics-2048x2048-1-768x768.png 768w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/Mathematics-2048x2048-1-1536x1536.png 1536w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2023\/11\/Mathematics-2048x2048-1.png 2048w\"\n                style=\"object-position: 50.00% 50.00%; font-family: &quot;object-fit: cover; object-position: 50.00% 50.00%;&quot;; aspect-ratio: 1\/1; object-fit: cover; width: 100%;\"\n        loading=\"lazy\"\n\/>    <\/figure>\n\n\n<span class=\"quick-link__name wp-block-unilux-blocks-plain-text\">Department of Mathematics<\/span>\n\n<svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-right \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\"><\/use><\/svg><\/span>\n<\/a>\n<\/li><\/ul>\n<\/div><\/section>\n\n\n<section class=\"section section wp-block-unilux-blocks-quick-link-discover-section\">\n    <div class=\"container xl:max-w-screen-xl\">\n        \n<h2 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"discover-more\"\n    >\nDiscover more<\/h2>\n\n<ul class=\"wp-block-unilux-blocks-quick-link-discover quick-link-list\">\n<li class=\"wp-block-unilux-blocks-quick-link-discover-item\">\n    <a\n                    href=\"https:\/\/www.uni.lu\/en\/about\/profile\/mission-strategy-values\/#strategic-development-areas\"\n                    class=\"quick-link\"\n            target=\"\"\n    >\n            <span class=\"quick-link__container\">\n                <span class=\"quick-link__text\">\n                    Key areas                <\/span>\n                <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-right \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\"><\/use><\/svg>            <\/span>\n    <\/a>\n<\/li>\n\n\n\n<li class=\"wp-block-unilux-blocks-quick-link-discover-item\">\n    <a\n                    href=\"https:\/\/www.uni.lu\/en\/about\/organisation\/faculties-departments\/\"\n                    class=\"quick-link\"\n            target=\"\"\n    >\n            <span class=\"quick-link__container\">\n                <span class=\"quick-link__text\">\n                    Faculties                <\/span>\n                <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-right \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\"><\/use><\/svg>            <\/span>\n    <\/a>\n<\/li>\n\n\n\n<li class=\"wp-block-unilux-blocks-quick-link-discover-item\">\n    <a\n                    href=\"https:\/\/www.uni.lu\/en\/about\/organisation\/centres\/\"\n                    class=\"quick-link\"\n            target=\"\"\n    >\n            <span class=\"quick-link__container\">\n                <span class=\"quick-link__text\">\n                    Interdisciplinary centres                <\/span>\n                <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-right \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\"><\/use><\/svg>            <\/span>\n    <\/a>\n<\/li>\n<\/ul>\n    <\/div>\n<\/section>","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":3673,"parent":0,"menu_order":0,"template":"","meta":{"featured_image_focal_point":[],"show_featured_caption":false,"ulux_newsletter_groups":"","uluxPostTitle":"Discrete and Geometric Analysis","uluxPrePostTitle":"","_trash_the_other_posts":false,"_price":"","_stock":"","_tribe_ticket_header":"","_tribe_default_ticket_provider":"","_tribe_ticket_capacity":"0","_ticket_start_date":"","_ticket_end_date":"","_tribe_ticket_show_description":"","_tribe_ticket_show_not_going":false,"_tribe_ticket_use_global_stock":"","_tribe_ticket_global_stock_level":"","_global_stock_mode":"","_global_stock_cap":"","_tribe_rsvp_for_event":"","_tribe_ticket_going_count":"","_tribe_ticket_not_going_count":"","_tribe_tickets_list":"[]","_tribe_ticket_has_attendee_info_fields":false},"field-of-interest":[54],"organisation":[95,59],"authorship":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.3 (Yoast SEO v22.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Discrete and geometric analysis - Research area I 成人头条<\/title>\n<meta name=\"description\" content=\"The discrete analysis and geometry research area applies analysis to investigate discrete structures and geometries. 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