{"id":247,"date":"2006-08-22T20:00:26","date_gmt":"2006-08-22T10:00:26","guid":{"rendered":"http:\/\/michaelnielsen.org\/?p=247"},"modified":"2006-08-22T20:00:26","modified_gmt":"2006-08-22T10:00:26","slug":"fields-medal-to-terry-tao","status":"publish","type":"post","link":"https:\/\/michaelnielsen.org\/blog\/fields-medal-to-terry-tao\/","title":{"rendered":"Fields Medal"},"content":{"rendered":"

Update:<\/b> The four medallists are Perelman (declined), Tao, Russian Andrei Okounkov, and Wendelin Werner. There is a nice article<\/a> about Tao’s work at the UCLA website. The Nevanlinna Prize went to John Kleinberg.<\/p>\n

Tao’s Medal will cause a lot of of excitement in Australia, as he’s the first Autralian ever awarded the Fields Medal.<\/p>\n

I’m particularly pleased, as I greatly admire some work Tao did with Allen Knutson on a problem of some interest in quantum information, known as Horn’s problem: given that A+B=C, where A, B and C are Hermitian, what can be said about the relationship between the eigenvalues of A, B and C? There is now a complete (and deep) solution to this problem, and Tao and Knutson played a central role in obtaining it.<\/p>\n

This problem at first might not seem all that related to quantum mechanics. It turns out that there are a lot of connections between the techniques used, a fact you can see in some beautiful work by Hayden and Daftuar<\/a> and by Klyachko<\/a>, who made important independent contributions to the solution of Horn’s problem.<\/p>\n

Of course, this is just one of many things Tao is known for – he’s probably better known for his proof (with Ben Green) that there exist arbitrarily long sequences of primes in arithmetic progression<\/a>. His web page<\/a> lists an amazing array of papers, books, expository notes, and other activities (he’s a vegemite fan); it’s a lot of fun to read through! <\/p>\n","protected":false},"excerpt":{"rendered":"

Update: The four medallists are Perelman (declined), Tao, Russian Andrei Okounkov, and Wendelin Werner. There is a nice article about Tao’s work at the UCLA website. The Nevanlinna Prize went to John Kleinberg. Tao’s Medal will cause a lot of of excitement in Australia, as he’s the first Autralian ever awarded the Fields Medal. I’m… Continue reading Fields Medal<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-247","post","type-post","status-publish","format-standard","hentry","category-3","entry"],"_links":{"self":[{"href":"https:\/\/michaelnielsen.org\/blog\/wp-json\/wp\/v2\/posts\/247","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/michaelnielsen.org\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/michaelnielsen.org\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/michaelnielsen.org\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/michaelnielsen.org\/blog\/wp-json\/wp\/v2\/comments?post=247"}],"version-history":[{"count":0,"href":"https:\/\/michaelnielsen.org\/blog\/wp-json\/wp\/v2\/posts\/247\/revisions"}],"wp:attachment":[{"href":"https:\/\/michaelnielsen.org\/blog\/wp-json\/wp\/v2\/media?parent=247"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/michaelnielsen.org\/blog\/wp-json\/wp\/v2\/categories?post=247"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/michaelnielsen.org\/blog\/wp-json\/wp\/v2\/tags?post=247"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}