{"id":28,"date":"2017-12-20T23:46:37","date_gmt":"2017-12-20T22:46:37","guid":{"rendered":"https:\/\/site.uit.no\/symrag\/?page_id=28"},"modified":"2020-10-20T18:18:01","modified_gmt":"2020-10-20T16:18:01","slug":"publications","status":"publish","type":"page","link":"https:\/\/site.uit.no\/symrag\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"<p>The following lists the publications that are part of the research project. You can find more interesting research results on the individual web pages of the project members.<\/p>\n<h1>2020<\/h1>\n<ul>\n<li>Generalized eigenvalue methods for Gaussian quadrature rules<br \/>\nG Blekherman, M Kummer, C Riener, M Schweighofer, C Vinzant, <em>Annales Henri Lebesgue<\/em><\/li>\n<li>Symmetric ideals, Specht polynomials, and solutions to symmetric systems of equations<br \/>\nP. Moustrou, C. Riener, H. Verdure (under submission)<\/li>\n<\/ul>\n<h1>2019<\/h1>\n<ul>\n<li>Vandermonde varieties, mirrored spaces, and the cohomology of symmetric semi-algebraic sets<br \/>\nS. Basu, C. Riener (Revision)<\/li>\n<li>Symmetric nonnegative forms and sums of squares<br \/>\n<em>G. Blekherman, C. Riener, Discrete &amp; Computational Geometry<\/em><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h1>2018<\/h1>\n<ul>\n<li><a href=\"https:\/\/doi.org\/10.1016\/j.jco.2017.10.002\" rel=\"noopener\">Optimization approaches to quadrature<br \/>\n<\/a>C. Riener, M. Schweighofer, <em>Journal of Complexity<\/em><\/li>\n<li><a href=\"https:\/\/doi.org\/10.1090\/proc\/13821\" rel=\"noopener\">Reflection groups, reflection arrangements, and invariant real varieties<\/a><br \/>\nT. Friedl, C. Riener, S. Sanyal,\u00a0<em>Proceedings of\u00a0 AMS<\/em><\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/1503.00138\">On the isotypic decomposition of cohomology modules of symmetric semi-algebraic sets: polynomial bounds on multiplicities<\/a><br \/>\nS. Basu, C. Riener, <span class=\"st\"><em>International Mathematics Research Notices<\/em><\/span><\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/1610.04946\">On the equivariant Betti numbers of symmetric definable sets: vanishing, bounds and algorithms<\/a><br \/>\nS. Basu, C. Riener, <em>Selecta Mathematica<\/em><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>The following lists the publications that are part of the research project. You can find more interesting research results on the individual web pages of the project members. 2020 Generalized eigenvalue methods for Gaussian quadrature rules G Blekherman, M Kummer, &hellip; <a href=\"https:\/\/site.uit.no\/symrag\/publications\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":824,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-28","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/site.uit.no\/symrag\/wp-json\/wp\/v2\/pages\/28","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/site.uit.no\/symrag\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/site.uit.no\/symrag\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/site.uit.no\/symrag\/wp-json\/wp\/v2\/users\/824"}],"replies":[{"embeddable":true,"href":"https:\/\/site.uit.no\/symrag\/wp-json\/wp\/v2\/comments?post=28"}],"version-history":[{"count":13,"href":"https:\/\/site.uit.no\/symrag\/wp-json\/wp\/v2\/pages\/28\/revisions"}],"predecessor-version":[{"id":204,"href":"https:\/\/site.uit.no\/symrag\/wp-json\/wp\/v2\/pages\/28\/revisions\/204"}],"wp:attachment":[{"href":"https:\/\/site.uit.no\/symrag\/wp-json\/wp\/v2\/media?parent=28"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}