{"id":2909,"date":"2026-07-23T13:55:00","date_gmt":"2026-07-23T13:55:00","guid":{"rendered":"https:\/\/futurenews24.com\/index.php\/2026\/07\/23\/hong-wang-wins-2026-fields-medal-the-third-woman-ever-20260723\/"},"modified":"2026-07-27T11:59:11","modified_gmt":"2026-07-27T11:59:11","slug":"hong-wang-wins-2026-fields-medal-the-third-woman-ever-20260723","status":"publish","type":"post","link":"https:\/\/futurenews24.com\/index.php\/2026\/07\/23\/hong-wang-wins-2026-fields-medal-the-third-woman-ever-20260723\/","title":{"rendered":"Hong Wang Wins 2026 Fields Medal, the Third Lady Ever"},"content":{"rendered":"<p><br \/>\n<br \/><img decoding=\"async\" src=\"https:\/\/www.quantamagazine.org\/wp-content\/uploads\/2026\/07\/Hong_Wang-cr-M.Y.O.P.-Julien-Pebrel-Default.webp\" \/><\/p>\n<div>\n<p>Shmerkin, from the College of British Columbia, who had additionally labored on the Falconer distance downside, observed Wang\u2019s expertise whereas visiting Guth at MIT. She struck him as inventive, and as a sponge for brand spanking new methods. She appeared to grasp incidence geometry deeply regardless that she had solely not too long ago began engaged on it.<\/p>\n<p>The analysis space was already replete with new instruments, and Wang quickly imported extra instruments from geometric measure principle that she had realized throughout a collaboration with Shmerkin on the Falconer distance set downside. She was significantly impressed by Shmerkin\u2019s \u201cmultiscale evaluation\u201d strategy, a method of evaluating what occurs at completely different scales with the intention to arrive at contradictions. \u201cShe is all the time very form and acknowledges that a number of the concepts got here from my work, however she was in a position to apply them in these unbelievable ways in which I couldn\u2019t have envisioned,\u201d Shmerkin stated.<\/p>\n<p>Wang\u2019s popularity grew in 2019 when she, Guth, and Ruixiang Zhang of the College of California, Berkeley proved the 2D case of the native smoothing conjecture, one of many holy grails of harmonic evaluation, which says that the answer to the wave equation can\u2019t focus power in a small area for an prolonged interval. The identical yr, her doctorate full, she moved to Princeton, New Jersey, for a postdoc on the Institute for Superior Research. She anxious that she couldn\u2019t succeed with out Guth, however regularly she started new collaborations and made headway on extra Kakeya-type issues. Hiring committees took discover; she bought a school job on the College of California, Los Angeles in 2021, and in 2023 she grew to become an affiliate professor at NYU. A month after getting there, she produced one other blockbuster outcome: Together with Kevin Ren, she proved the 2D Furstenberg set conjecture, which estimates the dimensionality of a set of factors on the airplane that incorporates a subset of traces pointing in each course.<\/p>\n<div class=\"post__aside__pullquote relative\">\n<div class=\"pullquote theme__text mb2 align-c\">\n<div class=\"mb1\">\n<p>She\u2019s loopy into math. She\u2019s positively one of the vital devoted individuals I\u2019ve seen.<\/p>\n<\/p><\/div><\/div>\n<p>Shukun Wu<\/p>\n<\/p><\/div>\n<p>Regardless of these successes, Wang nonetheless felt like an underdog. \u201cEvery time it simply felt fortunate,\u201d she stated of her numerous proofs.<\/p>\n<p>It was on the Institute for Superior Research in the course of the pandemic that Wang had determined to show her consideration to the 3D Kakeya set conjecture. The issue had resisted many challengers over the many years; proofs had even been introduced after which proven to be incorrect. \u201cI by no means discovered the Kakeya conjecture, however there have been 4 or 5 occasions I assumed I may need,\u201d Guth stated. Every time, he noticed his error earlier than going public.<\/p>\n<p>Wang learn a 2014 weblog submit by the UCLA mathematician Terence Tao laying out a proof technique that Tao and Katz had developed however by no means pursued. The strategy appeared promising, so she contacted Joshua Zahl, then on the College of British Columbia, one other mathematician who had studied points of the Kakeya downside in his thesis. They determined to research what Tao and Katz had described.<\/p>\n<p>The technique, which wound up requiring an infinite arsenal of methods, was to point out that any hypothetical counterexample to the conjecture \u2014 a possible method of compacting line segments pointing in each course in 3D area into fewer than three dimensions \u2014 should have such a inflexible and environment friendly construction that it could contradict theorems governing the interaction between addition and multiplication. This basic strategy of positing a counterexample that disproves some conjecture, then twisting it into such knots that you just conclude it could possibly\u2019t exist in spite of everything (leaving the conjecture as the one possibility), is a standard proof technique.<\/p>\n<\/div>\n<p><br \/>\n<br \/><a href=\"https:\/\/www.quantamagazine.org\/hong-wang-wins-2026-fields-medal-the-third-woman-ever-20260723\/\">Source link <\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Shmerkin, from the College of British Columbia, who had additionally labored on the Falconer distance downside, observed Wang\u2019s expertise whereas visiting Guth at MIT. She struck him as inventive, and as a sponge for brand spanking new methods. She appeared to grasp incidence geometry deeply regardless that she had solely not too long ago began [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2911,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/www.quantamagazine.org\/wp-content\/uploads\/2026\/07\/Hong_Wang-cr-M.Y.O.P.-Julien-Pebrel-Social-1.jpg","fifu_image_alt":"","jnews-multi-image_gallery":[],"jnews_single_post":[],"jnews_primary_category":[],"jnews_override_bookmark_settings":[],"jnews_social_meta":[],"jnews_override_counter":[],"footnotes":""},"categories":[9],"tags":[854,3360,3307,3361,3304,3362],"class_list":["post-2909","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantum-computing","tag-fields","tag-hong","tag-medal","tag-wang","tag-wins","tag-woman"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Hong Wang Wins 2026 Fields Medal, the Third Lady Ever - Future News 24<\/title>\n<meta name=\"description\" content=\"Focus, commitment, and insight resulted in a \u201conce in a century\u201d proof. 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