{"id":46,"date":"2025-09-13T21:18:52","date_gmt":"2025-09-14T04:18:52","guid":{"rendered":"https:\/\/thereselandry.com\/w\/?page_id=46"},"modified":"2026-06-25T19:56:18","modified_gmt":"2026-06-26T02:56:18","slug":"research","status":"publish","type":"page","link":"https:\/\/thereselandry.com\/w\/research\/","title":{"rendered":"Research"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"2560\" height=\"1088\" src=\"https:\/\/thereselandry.com\/w\/wp-content\/uploads\/2025\/09\/FieldsInstitutePenroseTiling_banner_01-scaled.png\" alt=\"\" class=\"wp-image-109\" style=\"width:1340px;height:auto\" srcset=\"https:\/\/thereselandry.com\/w\/wp-content\/uploads\/2025\/09\/FieldsInstitutePenroseTiling_banner_01-scaled.png 2560w, https:\/\/thereselandry.com\/w\/wp-content\/uploads\/2025\/09\/FieldsInstitutePenroseTiling_banner_01-300x128.png 300w, https:\/\/thereselandry.com\/w\/wp-content\/uploads\/2025\/09\/FieldsInstitutePenroseTiling_banner_01-1024x435.png 1024w, https:\/\/thereselandry.com\/w\/wp-content\/uploads\/2025\/09\/FieldsInstitutePenroseTiling_banner_01-768x326.png 768w, https:\/\/thereselandry.com\/w\/wp-content\/uploads\/2025\/09\/FieldsInstitutePenroseTiling_banner_01-1536x653.png 1536w, https:\/\/thereselandry.com\/w\/wp-content\/uploads\/2025\/09\/FieldsInstitutePenroseTiling_banner_01-2048x871.png 2048w\" sizes=\"auto, (max-width: 2560px) 100vw, 2560px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Publications and Preprints<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Compact quantum metric spaces from free probability <\/strong>(with David Jekel). Preprint<em>.<\/em> <a href=\"https:\/\/thereselandry.com\/research\/Compact_Quantum_Metric_Spaces_from_Free_Probability.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">pdf<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Quantum Wasserstein distances for quantum permutation groups&nbsp;<\/strong>(with Anshu and David Jekel). <em>The Journal of Geometry and Physics <\/em><strong>217,<\/strong><em> <\/em>(2025)<em>.<\/em> <a href=\"https:\/\/thereselandry.com\/research\/AnshuLandryJekel_published_.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">pdf<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Existence theorems for PDEs modeling erosion and the optimal transport of sediment&nbsp;<\/strong>(with Bj\u00f6rn Birnir).&nbsp;&nbsp;<em>Analysis and Mathematical Physics&nbsp;<\/em><strong>15<\/strong>(107), (2025). <a href=\"https:\/\/thereselandry.com\/research\/ExistenceTheoryErosionPDEs.BirnirLandry.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">pdf<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Spectral Triples for noncommutative solenoids and a Wiener&#8217;s lemma&nbsp;<\/strong>(with Carla Farsi, Nadia S. Larsen, and Judith Packer).&nbsp;<em>Journal of Noncommutative Geometry&nbsp;<\/em><strong>18<\/strong>(4), 1415-1452 (2024). <a href=\"https:\/\/thereselandry.com\/research\/JNCGFarsiLandryLarsenPacker.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">pdf<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Metric approximations of spectral triples on the Sierpi\u0144ski gasket and other fractal curves<\/strong>&nbsp;(with Frederic Latremoliere and Michel L. Lapidus). &nbsp;<em>Advances in Mathematics&nbsp;<\/em><strong>385,<\/strong>&nbsp;(2021). <a href=\"https:\/\/thereselandry.com\/research\/LandryLatremoliereLapidus.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">pdf<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Perfect Congruences on bisimple&nbsp;\u03c9-semi groups<\/strong>&nbsp;(with&nbsp;Simon M. Goberstein, Katherine Grimshaw, Anthony Kling, and Freda Li).&nbsp;&nbsp;<em>Semigroup Forum<\/em>&nbsp;&nbsp;<strong>91<\/strong>, 117-127 (2015). <a href=\"https:\/\/thereselandry.com\/research\/SemigroupForumGobersteinLandry.etal.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">pdf<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Together with Hafedh Herichi, Maria Rosaria Lancia, Anna Rozanova-Pierrat, and Steffen Winter, I co-edited a proceedings on&nbsp;<em>Fractal Geometry in Pure and Applied Mathematics<\/em>, which will be published as part of the AMS Contemporary Mathematics Series in October 2025<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"637\" height=\"871\" src=\"https:\/\/thereselandry.com\/w\/wp-content\/uploads\/2025\/09\/conm-herichi-cover-confirmation.png\" alt=\"\" class=\"wp-image-50\" srcset=\"https:\/\/thereselandry.com\/w\/wp-content\/uploads\/2025\/09\/conm-herichi-cover-confirmation.png 637w, https:\/\/thereselandry.com\/w\/wp-content\/uploads\/2025\/09\/conm-herichi-cover-confirmation-219x300.png 219w\" sizes=\"auto, (max-width: 637px) 100vw, 637px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Publications and Preprints Compact quantum metric spaces from free probability (with David Jekel). Preprint. pdf Quantum Wasserstein distances for quantum permutation groups&nbsp;(with Anshu and David Jekel). The Journal of Geometry and Physics 217, (2025). pdf Existence theorems for PDEs modeling erosion and the optimal transport of sediment&nbsp;(with Bj\u00f6rn Birnir).&nbsp;&nbsp;Analysis and Mathematical Physics&nbsp;15(107), (2025). pdf Spectral [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"wp-custom-template-research-01","meta":{"pagelayer_contact_templates":[],"_pagelayer_content":"","footnotes":""},"class_list":["post-46","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/thereselandry.com\/w\/wp-json\/wp\/v2\/pages\/46","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/thereselandry.com\/w\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/thereselandry.com\/w\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/thereselandry.com\/w\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/thereselandry.com\/w\/wp-json\/wp\/v2\/comments?post=46"}],"version-history":[{"count":13,"href":"https:\/\/thereselandry.com\/w\/wp-json\/wp\/v2\/pages\/46\/revisions"}],"predecessor-version":[{"id":207,"href":"https:\/\/thereselandry.com\/w\/wp-json\/wp\/v2\/pages\/46\/revisions\/207"}],"wp:attachment":[{"href":"https:\/\/thereselandry.com\/w\/wp-json\/wp\/v2\/media?parent=46"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}