{"693427":{"#nid":"693427","#data":{"type":"news","title":"Dunn\u2019s Research Contributes to OpenAI\u2019s Proof of the Quasi-Riemann Hypothesis","body":[{"value":"\u003Cp dir=\u0022ltr\u0022\u003EIn early October,\u0026nbsp;\u003Ca href=\u0022https:\/\/www.quantamagazine.org\/ai-proved-the-quasi-riemann-hypothesis-what-happens-now-20261019\/\u0022\u003EOpenAI published a proof of the quasi-Riemann hypothesis\u003C\/a\u003E, a result that could mark an important step toward understanding the distribution of prime numbers. Prime numbers are fundamental to mathematics; their distribution is central to number theory with implications for modern technology, including encryption.\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003EThe proof uses mathematical techniques developed by\u0026nbsp;\u003Ca href=\u0022https:\/\/alexjdunn.weebly.com\/\u0022\u003E\u003Cstrong\u003EAlexander Dunn\u003C\/strong\u003E\u003C\/a\u003E, the Richard A. Duke Assistant Professor in the\u0026nbsp;\u003Ca href=\u0022https:\/\/math.gatech.edu\/\u0022\u003ESchool of Mathematics\u003C\/a\u003E, and\u0026nbsp;\u003Ca href=\u0022https:\/\/maksym-radziwill.github.io\/\u0022\u003E\u003Cstrong\u003EMaksym Radziwi\u0142\u0142\u003C\/strong\u003E\u003C\/a\u003E, professor of mathematics at New York University. Dunn and Radziwi\u0142\u0142 \u003Ca href=\u0022https:\/\/www.quantamagazine.org\/a-numerical-mystery-from-the-19th-century-finally-gets-solved-20220815\/\u0022\u003Edeveloped the tools\u003C\/a\u003E while working to resolve a different problem in number theory.\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003E\u201cSeeing our tools used in OpenAI\u2019s proof was unexpected,\u201d says Dunn.\u0026nbsp;\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003EHe believes OpenAI\u2019s so-called \u201c\u003Ca href=\u0022https:\/\/github.com\/openai\/math\/blob\/main\/preprints\/The-Quasi-Riemann-Hypothesis-October-5-2026\/paper2.pdf\u0022\u003E11\/12 manuscript\u003C\/a\u003E\u201d is correct and is working alongside other mathematicians to review the proof and its sources.\u0026nbsp;\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003E\u201cWe are seeking to understand what makes the model\u2019s arguments work and how far its method can go,\u201d says Dunn. \u201cBut it is too early to say whether it will help resolve the full Riemann hypothesis.\u201d\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003EProposed by 19th-century mathematician Bernhard Riemann, the full Riemann hypothesis has remained unsolved for more than 160 years, and is one of the most prominent problems in theoretical mathematics, according to\u0026nbsp;\u003Ca href=\u0022https:\/\/mwolf40.math.gatech.edu\/\u0022\u003E\u003Cstrong\u003EMichael Wolf\u003C\/strong\u003E\u003C\/a\u003E, chair of the School of Mathematics.\u0026nbsp;\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003EEven if OpenAI\u2019s method does not resolve the full hypothesis, the 11\/12 manuscript may still have broader implications for mathematics.\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003E\u201cThe present work by OpenAI, while not the whole problem, is both remarkable progress and deeply impactful; the entire mathematical community is buzzing about this development,\u201d says Wolf. \u201cYears ago, Alex decided to chart a novel course in his research\u0026nbsp;\u2014 a brave move for a young researcher. It is so gratifying to see his boldness yield such strong results. We are thrilled that he is part of our Georgia Tech mathematical community.\u201d\u003C\/p\u003E","summary":"","format":"limited_html"}],"field_subtitle":"","field_summary":[{"value":"\u003Cdiv\u003E\u003Cp\u003EOpenAI\u2019s proof draws on techniques developed by mathematicians, including Georgia Tech\u2019s Alexander Dunn.\u003C\/p\u003E\u003C\/div\u003E","format":"limited_html"}],"field_summary_sentence":[{"value":"OpenAI\u2019s proof draws on techniques developed by mathematicians, including Georgia Tech\u2019s Alexander Dunn."}],"uid":"36583","created_gmt":"2026-10-23 14:08:59","changed_gmt":"2026-10-26 17:04:59","author":"lvidal7","boilerplate_text":"","field_publication":"","field_article_url":"","location":"Atlanta, GA","dateline":{"date":"2026-10-23T00:00:00-04:00","iso_date":"2026-10-23T00:00:00-04:00","tz":"America\/New_York"},"extras":[],"hg_media":{"675355":{"id":"675355","type":"image","title":"Alexander Dunn (Credit: Caltech)","body":null,"created":"1729198070","gmt_created":"2024-10-17 20:47:50","changed":"1792765599","gmt_changed":"2026-10-23 14:26:39","alt":"Alexander Dunn stands next to a large chalkboard displaying mathematical formulas","file":{"fid":"258968","name":"Dunn_Alexander-PostdoctoralScholar-PMA-19-WEB.width-600.jpg","image_path":"\/sites\/default\/files\/2024\/10\/17\/Dunn_Alexander-PostdoctoralScholar-PMA-19-WEB.width-600.jpg","image_full_path":"http:\/\/hg.gatech.edu\/\/sites\/default\/files\/2024\/10\/17\/Dunn_Alexander-PostdoctoralScholar-PMA-19-WEB.width-600.jpg","mime":"image\/jpeg","size":41257,"path_740":"http:\/\/hg.gatech.edu\/sites\/default\/files\/styles\/740xx_scale\/public\/2024\/10\/17\/Dunn_Alexander-PostdoctoralScholar-PMA-19-WEB.width-600.jpg?itok=us9CJ7SI"}}},"media_ids":["675355"],"related_links":[{"url":"https:\/\/sciences.gatech.edu\/news\/mathematician-alexander-dunn-awarded-2024-sastra-ramanujan-prize","title":"Mathematician Alexander Dunn Awarded the 2024 SASTRA Ramanujan Prize"}],"groups":[{"id":"1278","name":"College of Sciences"},{"id":"1279","name":"School of Mathematics"}],"categories":[{"id":"194606","name":"Artificial Intelligence"},{"id":"135","name":"Research"}],"keywords":[{"id":"168854","name":"School of Mathematics"},{"id":"193356","name":"cos-math"},{"id":"173647","name":"_for_math_site_"}],"core_research_areas":[],"news_room_topics":[],"event_categories":[],"invited_audience":[],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[],"email":[],"slides":[],"orientation":[],"userdata":""}}}