{"671034":{"#nid":"671034","#data":{"type":"external_news","title":"In the \u2018Wild West\u2019 of Geometry, Mathematicians Redefine the Sphere","body":[{"value":"\u003Cp\u003EIn certain areas of mathematics, a sphere attached to a sphere is still a sphere, though perhaps a bigger or lumpier one. And if a sphere gets glued onto a doughnut, you still have a doughnut \u2014 with a blister. But if two doughnuts merge together, they form a two-holed shape. To mathematicians, that\u2019s something else completely. That quality makes spheres a crucial test case for geometers. Mathematicians can often transfer lessons learned on spheres to more complex shapes by looking at what happens when you sew the two together. Included in this all-around look at spheres is a comment from \u003Ca href=\u0022https:\/\/math.gatech.edu\/people\/john-etnyre\u0022\u003EJohn Etnyre\u003C\/a\u003E, professor in the\u003Ca href=\u0022https:\/\/math.gatech.edu\u0022\u003E School of Mathematics\u003C\/a\u003E.\u0026nbsp;\u003C\/p\u003E\r\n","summary":"","format":"limited_html"}],"field_subtitle":"","field_summary":[{"value":"\u003Cp\u003EIn certain areas of mathematics, a sphere attached to a sphere is still a sphere, though perhaps a bigger or lumpier one. And if a sphere gets glued onto a doughnut, you still have a doughnut \u2014 with a blister. But if two doughnuts merge together, they form a two-holed shape. To mathematicians, that\u2019s something else completely. That quality makes spheres a crucial test case for geometers. Mathematicians can often transfer lessons learned on spheres to more complex shapes by looking at what happens when you sew the two together. Included in this all-around look at spheres is a comment from \u003Ca href=\u0022https:\/\/math.gatech.edu\/people\/john-etnyre\u0022\u003EJohn Etnyre\u003C\/a\u003E, professor in the\u003Ca href=\u0022https:\/\/math.gatech.edu\u0022\u003E School of Mathematics\u003C\/a\u003E.\u0026nbsp;\u003C\/p\u003E\r\n","format":"limited_html"}],"field_summary_sentence":"","uid":"34434","created_gmt":"2023-11-13 16:06:56","changed_gmt":"2023-11-13 16:06:56","author":"Renay San Miguel","boilerplate_text":"","field_publication":"","publication":"Quanta Magazine ","field_article_url":"","publication_url":"https:\/\/www.quantamagazine.org\/in-the-wild-west-of-geometry-mathematicians-redefine-the-sphere-20231107\/","dateline":{"date":"2023-11-07T00:00:00-05:00","iso_date":"2023-11-07T00:00:00-05:00","tz":"America\/New_York"},"extras":[],"groups":[{"id":"1278","name":"College of Sciences"},{"id":"1279","name":"School of Mathematics"}],"categories":[{"id":"134","name":"Student and Faculty"}],"keywords":[{"id":"4896","name":"College of Sciences"},{"id":"168854","name":"School of Mathematics"},{"id":"175550","name":"John Etnyre"},{"id":"173770","name":"spheres"}],"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":""}}}