{"id":347,"date":"2025-03-28T10:42:34","date_gmt":"2025-03-28T08:42:34","guid":{"rendered":"https:\/\/members.loria.fr\/JSoumier\/?page_id=347"},"modified":"2026-04-05T14:07:06","modified_gmt":"2026-04-05T12:07:06","slug":"research","status":"publish","type":"page","link":"https:\/\/members.loria.fr\/JSoumier\/research\/","title":{"rendered":"Research"},"content":{"rendered":"<div class=\"important_div\" style=\"text-align: center\"><\/div>\n<h4 class=\"cv\">Scientific papers<\/h4>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li><strong>On the conversion of module representations for higher dimensional supersingular isogenies<\/strong><br \/>\n<em>With Aurel Page and Damien Robert.<\/em><br \/>\n<a href=\"https:\/\/eprint.iacr.org\/2026\/276\">eprint<\/a>, <a href=\"https:\/\/gitlab.inria.fr\/module-representation\/PIP-quaternion-mat\">implementation<\/a>.<\/li>\n<li><strong>Computing Isomorphisms between Products of Supersingular Elliptic Curves,<\/strong><br \/>\n<em>With Pierre-Jean Spaenlehauer and Pierrick Gaudry<\/em>.<br \/>\n<a href=\"https:\/\/eprint.iacr.org\/2025\/136\" target=\"_blank\" rel=\"noopener\">eprint<\/a>, <a href=\"https:\/\/arxiv.org\/abs\/2503.21535\" target=\"_blank\" rel=\"noopener\">arXiv,<\/a> <a href=\"https:\/\/gitlab.inria.fr\/superspecial-surfaces-isomorphisms\/experiments\">implementation<\/a>.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li style=\"list-style-type: none\"><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h4 class=\"cv\">Talks<\/h4>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li><strong>Solving the Principal Ideal Problem over quaternionic matrices for isogeny based cryptography,<br \/>\n<\/strong><em>02\/04\/2026, Journ\u00e9es Codage et Cryptographie (JC2),\u00a0 Bl\u00e9riot-Plage.<br \/>\n<\/em><a href=\"https:\/\/jc2-2026.sciencesconf.org\/684403\" target=\"_blank\" rel=\"noopener\">site<\/a>.<\/li>\n<li class=\"p1\"><strong><b>On the module representation for higher dimensional supersingular isogenies,<br \/>\n<\/b><\/strong><em>17\/03\/2026, Isogeny Club, 8<sup>th<\/sup> Season.<br \/>\n<a href=\"https:\/\/isogeny.club\/\" target=\"_blank\" rel=\"noopener\">site<\/a>.<br \/>\n<\/em><\/li>\n<li><strong>From Post-Quantum Cryptography to Isomorphisms of Abelian Varieties,<br \/>\n<\/strong><em>22\/10\/2025, Number Theory Seminar, University of Luxembourg.<br \/>\n<a href=\"https:\/\/math.uni.lu\/nt\/index-seminar.html\" target=\"_blank\" rel=\"noopener\">site<\/a>.<\/em><\/li>\n<li><strong>Effective representation of polarized abelian varieties for post-quantum cryptography,<br \/>\n<\/strong><em>11\/09\/2025, Lightning talk session of Leuven Isogeny Days 6, KU Leuven<\/em>.<br \/>\n<a href=\"https:\/\/www.esat.kuleuven.be\/cosic\/projects\/isocrypt\/lid6-lightningtalks\/\" target=\"_blank\" rel=\"noopener\">site<\/a>.<\/li>\n<li><strong>Computing Isomorphisms between Products of Supersingular Elliptic Curves,<br \/>\n<\/strong><em>01\/04\/2025, Journ\u00e9es Codage et Cryptographie (JC2),\u00a0 Pornichet.<br \/>\n<\/em><a href=\"https:\/\/indico.math.cnrs.fr\/event\/11948\/page\/947-programme\" target=\"_blank\" rel=\"noopener\">site<\/a>.<\/li>\n<li><strong>Computing Isomorphisms Between Products of Supersingular<br \/>\nElliptic Curves Over Finite Fields,<br \/>\n<\/strong><em>12\/03\/2025, Journ\u00e9es Nationales de Calcul Formel (JNCF), CIRM, Luminy.<br \/>\n<\/em><a href=\"https:\/\/sourcesup.renater.fr\/www\/orga-jncf\/index-2025.html\" target=\"_blank\" rel=\"noopener\">site<\/a>.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Scientific papers<\/p>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li>On the conversion of module representations for higher dimensional supersingular isogenies<br \/>\n<em>With Aurel Page and Damien Robert.<\/em><br \/>\n<a href=\"https:\/\/eprint.iacr.org\/2026\/276\">eprint<\/a>, <a href=\"https:\/\/gitlab.inria.fr\/module-representation\/PIP-quaternion-mat\">implementation<\/a>.<\/li>\n<li>Computing Isomorphisms between Products of Supersingular Elliptic Curves,<br \/>\n<em>With Pierre-Jean Spaenlehauer and Pierrick Gaudry<\/em>.<br \/>\n<a href=\"https:\/\/eprint.iacr.org\/2025\/136\" target=\"_blank\" rel=\"noopener\">eprint<\/a>, <a href=\"https:\/\/arxiv.org\/abs\/2503.21535\" target=\"_blank\" rel=\"noopener\">arXiv,<\/a> <a href=\"https:\/\/gitlab.inria.fr\/superspecial-surfaces-isomorphisms\/experiments\">implementation<\/a>.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li style=\"list-style-type: none\"><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>Talks<\/p>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li>Solving the Principal Ideal Problem over quaternionic matrices for isogeny based cryptography,<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n","protected":false},"author":239,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-347","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/members.loria.fr\/JSoumier\/wp-json\/wp\/v2\/pages\/347","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/members.loria.fr\/JSoumier\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/members.loria.fr\/JSoumier\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/members.loria.fr\/JSoumier\/wp-json\/wp\/v2\/users\/239"}],"replies":[{"embeddable":true,"href":"https:\/\/members.loria.fr\/JSoumier\/wp-json\/wp\/v2\/comments?post=347"}],"version-history":[{"count":20,"href":"https:\/\/members.loria.fr\/JSoumier\/wp-json\/wp\/v2\/pages\/347\/revisions"}],"predecessor-version":[{"id":397,"href":"https:\/\/members.loria.fr\/JSoumier\/wp-json\/wp\/v2\/pages\/347\/revisions\/397"}],"wp:attachment":[{"href":"https:\/\/members.loria.fr\/JSoumier\/wp-json\/wp\/v2\/media?parent=347"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}