{"id":55,"date":"2021-11-29T15:14:55","date_gmt":"2021-11-29T20:14:55","guid":{"rendered":"https:\/\/sites.nd.edu\/cpolini\/?page_id=55"},"modified":"2022-09-05T22:13:33","modified_gmt":"2022-09-06T02:13:33","slug":"research","status":"publish","type":"page","link":"https:\/\/sites.nd.edu\/cpolini\/?page_id=55","title":{"rendered":"Research"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">My research is in commutative algebra inspired by algebraic geometry. Some of the problems I am working on include the implicitization problem and the study of blowup algebras, multiplicity theory and its interplay with equisingularity theory, derivations, linkage and residual intersection theory. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">RECENT PREPRINT:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Yairon Cid-Ruiz, Claudia Polini, and Bernd Ulrich,\u00a0<em>Generalized Jouanolou duality, weakly Gorenstein rings, and applications to Blowup algebras<\/em>, submitted for publication.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ela Celikbas, Emilie Dufresne, Louiza Fouli, Elisa Gorla, Kuei-Nuan Lin, Claudia Polini, and Irena Swanson,&nbsp;<em>Rees algebras of maximal minors of sparse matrices<\/em>, submitted for publication.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Robin Hartshorne and Claudia Polini,\u00a0<em>Quasi-cyclic modules and coregular sequences<\/em>, Math. Z. <strong>299<\/strong> (2021), 123-138.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>My research is in commutative algebra inspired by algebraic geometry. Some of the problems I am working on include the implicitization problem and the study of blowup algebras, multiplicity theory and its interplay with equisingularity theory, derivations, linkage and residual intersection theory. RECENT PREPRINT: Yairon Cid-Ruiz, Claudia Polini, and Bernd Ulrich,\u00a0Generalized Jouanolou duality, weakly Gorenstein &hellip; <a href=\"https:\/\/sites.nd.edu\/cpolini\/?page_id=55\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Research<\/span><\/a><\/p>\n","protected":false},"author":2271,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-55","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.nd.edu\/cpolini\/index.php?rest_route=\/wp\/v2\/pages\/55","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.nd.edu\/cpolini\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.nd.edu\/cpolini\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/cpolini\/index.php?rest_route=\/wp\/v2\/users\/2271"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/cpolini\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=55"}],"version-history":[{"count":5,"href":"https:\/\/sites.nd.edu\/cpolini\/index.php?rest_route=\/wp\/v2\/pages\/55\/revisions"}],"predecessor-version":[{"id":85,"href":"https:\/\/sites.nd.edu\/cpolini\/index.php?rest_route=\/wp\/v2\/pages\/55\/revisions\/85"}],"wp:attachment":[{"href":"https:\/\/sites.nd.edu\/cpolini\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=55"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}