{"id":754,"date":"2022-02-08T12:47:35","date_gmt":"2022-02-08T12:47:35","guid":{"rendered":"https:\/\/www.open.ac.uk\/blogs\/is\/?p=754"},"modified":"2022-02-08T13:05:34","modified_gmt":"2022-02-08T13:05:34","slug":"postdoc-position-in-sl2-tilings","status":"publish","type":"post","link":"https:\/\/www.open.ac.uk\/blogs\/is\/?p=754","title":{"rendered":"Postdoc position in SL2-tilings"},"content":{"rendered":"<p>The Open University is recruiting a postdoctoral research associate to work on my EPSRC funded project <em>The Farey framework for SL<sub>2<\/sub>-tilings<\/em>. You can apply for it from the following link.<\/p>\n<p><a href=\"https:\/\/www.open.ac.uk\/about\/employment\/vacancies\/postdoctoral-research-associate-farey-framework-sl2-tilings-19378\">Postdoctoral Research Associate \u2013 The Farey framework for SL2-tilings<\/a><\/p>\n<p>It starts on 1 July 2022 and lasts three years. Some background to the project can be found on the EPSRC project page<\/p>\n<p><a href=\"https:\/\/gow.epsrc.ukri.org\/NGBOViewGrant.aspx?GrantRef=EP\/W002817\/1\">https:\/\/gow.epsrc.ukri.org\/NGBOViewGrant.aspx?GrantRef=EP\/W002817\/1<\/a>.<\/p>\n<p>Additionally, the following paper gives some of the mathematics underpinning the project.<\/p>\n<p><a href=\"https:\/\/arxiv.org\/abs\/1904.11900\">https:\/\/arxiv.org\/abs\/1904.11900<\/a>.<\/p>\n<p>That paper explores SL<sub>2<\/sub>-tilings over the integers using the\u00a0 Farey complex in the hyperbolic plane. Part of the project will involve Farey complexes for other rings, such as the Farey complexes for the four unital commutative rings of order four, shown below (click on the image for a clearer version).<\/p>\n<p><a href=\"https:\/\/www.open.ac.uk\/blogs\/is\/wp-content\/uploads\/2022\/02\/farey-complexes-order-4-rings-1.png\"><img decoding=\"async\" src=\"https:\/\/www.open.ac.uk\/blogs\/is\/wp-content\/uploads\/2022\/02\/farey-complexes-order-4-rings-1.png\" alt=\"\" width=\"500\" class=\"aligncenter size-full wp-image-760\" border=\"none\" text-decoration=\"none\" outline=\"none\" srcset=\"https:\/\/www.open.ac.uk\/blogs\/is\/wp-content\/uploads\/2022\/02\/farey-complexes-order-4-rings-1.png 800w, https:\/\/www.open.ac.uk\/blogs\/is\/wp-content\/uploads\/2022\/02\/farey-complexes-order-4-rings-1-300x288.png 300w, https:\/\/www.open.ac.uk\/blogs\/is\/wp-content\/uploads\/2022\/02\/farey-complexes-order-4-rings-1-768x738.png 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/a><\/p>\n<p>I welcome queries! <\/p>\n<p>My thanks to the EPSRC reviewers who supported the proposal making the project possible. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Open University is recruiting a postdoctoral research associate to work on my EPSRC funded project The Farey framework for SL2-tilings. You can apply for it from the following link. Postdoctoral Research Associate \u2013 The Farey framework for SL2-tilings It starts on 1 July 2022 and lasts three years. Some background to the project can [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-754","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/www.open.ac.uk\/blogs\/is\/index.php?rest_route=\/wp\/v2\/posts\/754","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.open.ac.uk\/blogs\/is\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.open.ac.uk\/blogs\/is\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.open.ac.uk\/blogs\/is\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.open.ac.uk\/blogs\/is\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=754"}],"version-history":[{"count":19,"href":"https:\/\/www.open.ac.uk\/blogs\/is\/index.php?rest_route=\/wp\/v2\/posts\/754\/revisions"}],"predecessor-version":[{"id":775,"href":"https:\/\/www.open.ac.uk\/blogs\/is\/index.php?rest_route=\/wp\/v2\/posts\/754\/revisions\/775"}],"wp:attachment":[{"href":"https:\/\/www.open.ac.uk\/blogs\/is\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=754"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.open.ac.uk\/blogs\/is\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=754"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.open.ac.uk\/blogs\/is\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=754"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}