{"id":1,"date":"2016-06-04T19:01:23","date_gmt":"2016-06-04T19:01:23","guid":{"rendered":"http:\/\/sites.williams.edu\/10rem\/?p=1"},"modified":"2022-08-20T12:02:19","modified_gmt":"2022-08-20T16:02:19","slug":"hello-world","status":"publish","type":"post","link":"https:\/\/sites.williams.edu\/10rem\/uncategorized\/hello-world\/","title":{"rendered":"About"},"content":{"rendered":"

Howdy!<\/p>\n

I’m an Associate Professor of Mathematics at Williams College. \u00a0I received a BA in Mathematics and Statistics from Williams College in 2010, and received my PhD in Mathematics in 2015 from UC Berkeley, where my advisor was Bernd Sturmfels. \u00a0I also spent a year in Stockholm, Sweden as a postdoc at KTH.<\/p>\n

\"Ralph

Me and my favorite multiplicative identity (or additive, if you want to be non-tropical about it)<\/p><\/div>\n

My\u00a0research lies mainly in the world of\u00a0algebraic geometry, which studies sets of points that solve\u00a0polynomial equations. Such a solution set is called a variety.<\/p>\n

In particular, I\u00a0work\u00a0on tropical geometry, which is a \u201cskeletonized\u201d version of algebraic geometry. We\u00a0can take a classical variety and\u00a0\u201ctropicalize\u201d it, giving us a tropical variety. \u00a0This turns out to be\u00a0a piecewise-linear subset of Euclidean space, with lots of cool geometric properties. Tropical geometry combines combinatorics and discrete geometry with classical algebraic geometry, and allows for developing theory and computations that tell us about the classical varieties.<\/p>\n

I\u00a0also study computational algebraic geometry, which uses various algorithmic tools to better study the geometry of varieties. I’m\u00a0especially interested in this area when working over non-Archimedean fields, like the p-adics.<\/p>\n

When I’m not teaching or working on mathematics, I like running,playing board games (I’m good at Dominion, not so good at Settlers of Catan<\/a>), hosting or participating in trivia, and coming up with alternate\u00a0mascots for various institutions<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"

Howdy! I’m an Associate Professor of Mathematics at Williams College. \u00a0I received a BA in Mathematics and Statistics from Williams College in 2010, and received my PhD in Mathematics in 2015 from UC Berkeley, where my advisor was Bernd Sturmfels. … Continue reading →<\/span><\/a><\/p>\n","protected":false},"author":1294,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"acf":[],"_links":{"self":[{"href":"https:\/\/sites.williams.edu\/10rem\/wp-json\/wp\/v2\/posts\/1","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.williams.edu\/10rem\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sites.williams.edu\/10rem\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/10rem\/wp-json\/wp\/v2\/users\/1294"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/10rem\/wp-json\/wp\/v2\/comments?post=1"}],"version-history":[{"count":17,"href":"https:\/\/sites.williams.edu\/10rem\/wp-json\/wp\/v2\/posts\/1\/revisions"}],"predecessor-version":[{"id":384,"href":"https:\/\/sites.williams.edu\/10rem\/wp-json\/wp\/v2\/posts\/1\/revisions\/384"}],"wp:attachment":[{"href":"https:\/\/sites.williams.edu\/10rem\/wp-json\/wp\/v2\/media?parent=1"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.williams.edu\/10rem\/wp-json\/wp\/v2\/categories?post=1"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.williams.edu\/10rem\/wp-json\/wp\/v2\/tags?post=1"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}