{"id":3633,"date":"2023-09-08T15:56:30","date_gmt":"2023-09-08T13:56:30","guid":{"rendered":"https:\/\/www.uni.lu\/fstm-en\/blog\/research-groups\/hugo-parliers-research-group\/research\/"},"modified":"2025-06-18T12:06:39","modified_gmt":"2025-06-18T10:06:39","slug":"research","status":"publish","type":"research-groups","link":"https:\/\/www.uni.lu\/fstm-en\/research-groups\/exploring-and-sharing-the-beauty-of-shapes\/research\/","title":{"rendered":"Research"},"content":{"rendered":"<div class=\"section py-0 static\">\n<section class=\"py-0 wp-block-unilux-blocks-free-section section\"><div class=\"container xl:max-w-screen-xl\"><!-- SecondaryNavigationMirror --><div class=\"js-secondary-nav--sticky wp-block-unilux-blocks-secondary-navigation\" id=\"00486190-7b62-4b22-97e4-6cbc92cc1d08\">\n    <nav id=\"secondary-navigation\" role=\"navigation\" aria-label=\"Secondary menu\" class=\"secondary-nav\">\n        <button class=\"secondary-nav__button btn btn-solid--primary w-full\" aria-expanded=\"false\" aria-controls=\"secondary-navigation__list\" title=\"The selected page is Overview\" type=\"button\">\n            <span class=\"btn__name mr-auto\">Overview<\/span>\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--xs\">\n                <use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\" \/>\n            <\/svg>\n        <\/button>\n\n        <ul id=\"secondary-navigation__list\" class=\"secondary-nav__list\">\n            <li class=\"secondary-nav__item\">\n    <a href=\"https:\/\/www.uni.lu\/fstm-en\/research-groups\/exploring-and-sharing-the-beauty-of-shapes\/\" target=\"\" rel=\"noreferrer noopener\" class=\"secondary-nav__link \">\n        <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--xs\">\n            <use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\" \/>\n        <\/svg>\n        <span class=\"secondary-nav__name\">Overview<\/span>\n    <\/a>\n<\/li>\n<li class=\"secondary-nav__item\">\n    <a href=\"https:\/\/www.uni.lu\/fstm-en\/research-groups\/exploring-and-sharing-the-beauty-of-shapes\/research\/\" target=\"\" rel=\"noreferrer noopener\" class=\"secondary-nav__link isactived\" aria-current=\"page\">\n        <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--xs\">\n            <use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\" \/>\n        <\/svg>\n        <span class=\"secondary-nav__name\">Research<\/span>\n    <\/a>\n<\/li>\n<li class=\"secondary-nav__item\">\n    <a href=\"https:\/\/www.uni.lu\/fstm-en\/research-groups\/exploring-and-sharing-the-beauty-of-shapes\/people\/\" target=\"\" rel=\"noreferrer noopener\" class=\"secondary-nav__link \">\n        <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--xs\">\n            <use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\" \/>\n        <\/svg>\n        <span class=\"secondary-nav__name\">People<\/span>\n    <\/a>\n<\/li>\n        <\/ul>\n    <\/nav>\n<\/div>\n<!-- end SecondaryNavigationMirror --><\/div><\/section>\n\n\n<section class=\"section section wp-block-unilux-blocks-headline-text-and-image\">\n    \n<div class=\"wp-block-unilux-blocks-wrapper container xl:max-w-screen-xl\">\n<h2 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"the-world-of-shapes-and-their-deformations\"\n    >\nThe world of shapes and their deformations<\/h2>\n\n\n\n<div class=\"wp-block-unilux-blocks-wrapper flex flex-wrap lg:-mx-32\">\n<div class=\"wp-block-unilux-blocks-wrapper w-full lg:w-7\/12 lg:order-2 lg:px-32\">\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=\"\"\n            src=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/09\/Image_overview1CWddQy.jpg\"\n                srcset=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/09\/Image_overview1CWddQy-300x166.jpg 300w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/09\/Image_overview1CWddQy-1024x568.jpg 1024w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/09\/Image_overview1CWddQy-768x426.jpg 768w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/09\/Image_overview1CWddQy-1536x852.jpg 1536w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/09\/Image_overview1CWddQy.jpg 2000w\"\n                style=\"object-position: 94.00% 58.00%; font-family: &quot;object-fit: cover; object-position: 94.00% 58.00%;&quot;; aspect-ratio: 3\/2; object-fit: cover; width: 100%;\"\n        loading=\"lazy\"\n\/>    <\/figure><\/div><\/div>\n\n\n\n<div class=\"wp-block-unilux-blocks-wrapper w-full lg:w-5\/12 lg:order-1 lg:px-32\">\n<p>We study low dimensional manifolds, their geometry, topology, and deformations. Understanding the world of shapes is understanding the shape of our world.<br><br>Our team is partly funded by the Luxembourg National Research Fund\u2019s OPEN and INTER programmes, and the European Commission\u2019s Marie Sk\u0142odowska-Curie Actions.<\/p>\n\n\n\n<ul class=\"wp-block-unilux-blocks-custom-buttons btn-list\"><\/ul>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\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=\"research-projects\"\n    >\nResearch projects<\/h2>\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-project-related bg-theme\">\n        <div class=\"ulux-card__container card__container\">\n                        <div class=\"ulux-card__body wp-block-unilux-blocks-free-content-card-item-body\">\n    \n<span class=\"ulux-card__related wp-block-unilux-blocks-plain-text\">GPS<\/span>\n<h3 class=\"ulux-card__title has-text-align-left wp-block-unilux-blocks-heading\"        id=\"geometry-probability-and-their-synergies\"\n    >\nGeometry, probability and their synergies<\/h3>\n<div class=\"ulux-card__link-wrapper card__link wp-block-unilux-blocks-simple-cta\">\n    <a\n        href=\"https:\/\/www.uni.lu\/research-en\/research-projects\/gps\/\"\n        title=\"Learn more\"\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-project-related bg-theme\">\n        <div class=\"ulux-card__container card__container\">\n                        <div class=\"ulux-card__body wp-block-unilux-blocks-free-content-card-item-body\">\n    \n<span class=\"ulux-card__related wp-block-unilux-blocks-plain-text\">HypSTER<\/span>\n<h3 class=\"ulux-card__title has-text-align-left wp-block-unilux-blocks-heading\"        id=\"hyperbolic-surfaces-their-euclidean-renderings\"\n    >\nHyperbolic Surfaces: Their Euclidean Renderings<\/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-projects\/hypster\/\"\n        title=\"Learn more\"\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-project-related bg-theme\">\n        <div class=\"ulux-card__container card__container\">\n                        <div class=\"ulux-card__body wp-block-unilux-blocks-free-content-card-item-body\">\n    \n<span class=\"ulux-card__related wp-block-unilux-blocks-plain-text\">MAPSURF<\/span>\n<h3 class=\"ulux-card__title has-text-align-left wp-block-unilux-blocks-heading\"        id=\"combinatorial-and-geometric-methods-for-mapping-class-groups-of-surfaces\"\n    >\nCombinatorial and Geometric Methods for Mapping Class Groups of Surfaces<\/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-projects\/mapsurf\/\"\n        title=\"Learn more\"\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-project-related bg-theme\">\n        <div class=\"ulux-card__container card__container\">\n                        <div class=\"ulux-card__body wp-block-unilux-blocks-free-content-card-item-body\">\n    \n<span class=\"ulux-card__related wp-block-unilux-blocks-plain-text\">Systoles Diastoles<\/span>\n<h3 class=\"ulux-card__title has-text-align-left wp-block-unilux-blocks-heading\"        id=\"systolic-and-diastolic-estimates-in-geometry\"\n    >\nSystolic and diastolic estimates in geometry<\/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-projects\/systoles-diastoles\/\"\n        title=\"Learn more\"\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>\n\n\n<ul class=\"wp-block-unilux-blocks-custom-buttons btn-list justify-center\"><li class=\"wp-block-unilux-blocks-custom-button\"    aria-disabled=\"false\"\n    >\n    <a\n        role=\"link\"\n        aria-disabled=\"false\"\n                    href=\"https:\/\/www.uni.lu\/research-en\/research-projects-overview\/?fq_research-projects-taxonomies-organisation%5B%5D=hugo-parliers-research-group%7CHugo+Parlier%27s+research+group%7COrganisation\"\n                target=\"_self\"\n        class=\"btn btn--primary\"\n            >All projects<\/a>\n<\/li>\n<\/ul>\n<\/div><\/section>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>We study low dimensional manifolds, their geometry, topology, and deformations. Understanding the world of shapes is understanding the shape of our world.<\/p>\n","protected":false},"author":115,"featured_media":3629,"parent":3632,"menu_order":0,"template":"","meta":{"featured_image_focal_point":[],"show_featured_caption":false,"ulux_newsletter_groups":"","uluxPostTitle":"Exploring and Sharing the Beauty of Shapes","uluxPrePostTitle":"Research Group","_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":[],"organisation":[],"authorship":[115,112,215],"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>Research Private: Exploring and Sharing the Beauty of Shapes - Exploring and Sharing the Beauty of Shapes - FSTM research group I University of Luxembourg<\/title>\n<meta name=\"description\" content=\"We study low dimensional manifolds, their geometry, topology, and deformations. 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