{"681658":{"#nid":"681658","#data":{"type":"news","title":"Benjamin Jaye Awarded Simons Fellowship","body":[{"value":"\u003Cp dir=\u0022ltr\u0022\u003EImagine a restaurant door swinging open, then closing again. You hear a burst of noise: chattering voices, clattering silverware, and shuffling feet. Now imagine if the sound were to go on for a long time \u2014 hours, days, or even years. You\u2019d probably start to hear it as something you could tune out, a drone of noise without the individual \u201cfrequencies\u201d that make up the noise.\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003E\u003Ca href=\u0022https:\/\/math.gatech.edu\/\u0022\u003ESchool of Mathematics\u003C\/a\u003E Associate Professor\u0026nbsp;\u003Ca href=\u0022https:\/\/math.gatech.edu\/people\/benjamin-jaye\u0022\u003E\u003Cstrong\u003EBenjamin Jaye\u003C\/strong\u003E\u003C\/a\u003E has been awarded a prestigious\u0026nbsp;\u003Ca href=\u0022https:\/\/www.simonsfoundation.org\/mathematics-physical-sciences\/simons-fellows\/\u0022\u003ESimons Fellowship\u003C\/a\u003E in support of his research into these types of related qualities (like time and frequency), and how precisely we can know one without knowing the other.\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003ECalled the Fourier uncertainty principle, it\u2019s a centuries-old subject, but progress on this topic is still in its infancy, Jaye says. Using mathematics, he will unravel how much information, or partial information, is needed about a function\u2019s frequencies in order to determine what the original function is.\u003C\/p\u003E\u003Ch3\u003E\u003Cstrong\u003EAdvancing fundamental mathematics\u003C\/strong\u003E\u003C\/h3\u003E\u003Cp dir=\u0022ltr\u0022\u003EWhile his work centers on theory, there are a number of fields that can benefit from it.\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003E\u201cThese problems interest me as basic questions in harmonic analysis,\u201d a fundamental area of mathematics used for research in fields ranging from quantum mechanics to neuroscience, Jaye says, adding that \u201cthe specific forms I am interested in arose from work in probability theory \u2014 in particular, understanding the probability that a system is reliable over a long period of time.\u201d\u0026nbsp;\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003EThis type of reliability analysis and probability theory plays a crucial role in predicting how safe equipment and processes are, and could lead to advancements in more reliable public transportation to safer planes.\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003EJaye also notes applications for partial differential equations, in particular \u201cdampening\u201d a wave function to ensure that energy is lost at a certain rate \u2014 a critical area of research for controlling and predicting waves, with applications in engineering, physics, and optics.\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003E\u201cI have had many amazing colleagues who have piqued my interest in these questions over the last ten years,\u201d Jaye says. \u201cThe Simons Fellowship gives me an important opportunity to develop mathematical theories around them in a systematic way.\u201d\u003C\/p\u003E","summary":"","format":"limited_html"}],"field_subtitle":"","field_summary":[{"value":"\u003Cp\u003E\u003Cem\u003EOne of two Georgia Tech mathematicians to receive the prestigious award, Jaye\u2019s research will center on the mathematics of the Fourier uncertainty principle.\u003C\/em\u003E\u003C\/p\u003E","format":"limited_html"}],"field_summary_sentence":[{"value":"One of two Georgia Tech mathematicians to receive the prestigious award, Jaye\u2019s research will center on the mathematics of the Fourier uncertainty principle."}],"uid":"35599","created_gmt":"2025-04-08 15:40:43","changed_gmt":"2025-04-25 14:56:25","author":"sperrin6","boilerplate_text":"","field_publication":"","field_article_url":"","location":"Atlanta, GA","dateline":{"date":"2025-04-18T00:00:00-04:00","iso_date":"2025-04-18T00:00:00-04:00","tz":"America\/New_York"},"extras":[],"hg_media":{"676880":{"id":"676880","type":"image","title":"One of two Georgia Tech mathematicians to receive the prestigious award, Jaye\u2019s research will center on the mathematics of the Fourier uncertainty principle.","body":"\u003Cp\u003E\u003Cem\u003EOne of two Georgia Tech mathematicians to receive the prestigious award, Jaye\u2019s research will center on the mathematics of the Fourier uncertainty principle.\u003C\/em\u003E\u003C\/p\u003E","created":"1744991423","gmt_created":"2025-04-18 15:50:23","changed":"1744991423","gmt_changed":"2025-04-18 15:50:23","alt":"One of two Georgia Tech mathematicians to receive the prestigious award, Jaye\u2019s research will center on the mathematics of the Fourier uncertainty principle.","file":{"fid":"260727","name":"WaveImage.jpg","image_path":"\/sites\/default\/files\/2025\/04\/18\/WaveImage.jpg","image_full_path":"http:\/\/hg.gatech.edu\/\/sites\/default\/files\/2025\/04\/18\/WaveImage.jpg","mime":"image\/jpeg","size":431739,"path_740":"http:\/\/hg.gatech.edu\/sites\/default\/files\/styles\/740xx_scale\/public\/2025\/04\/18\/WaveImage.jpg?itok=R6myaIDB"}}},"media_ids":["676880"],"related_links":[{"url":"https:\/\/cos.gatech.edu\/news\/anton-leykin-awarded-simons-fellowship","title":"Anton Leykin Awarded Simons Fellowship"}],"groups":[{"id":"1278","name":"College of Sciences"},{"id":"1279","name":"School of Mathematics"}],"categories":[{"id":"42901","name":"Community"},{"id":"135","name":"Research"}],"keywords":[{"id":"192249","name":"cos-community"},{"id":"173647","name":"_for_math_site_"},{"id":"193733","name":"_for_math_site_manual_feed_"}],"core_research_areas":[],"news_room_topics":[],"event_categories":[],"invited_audience":[],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[{"value":"\u003Cp\u003EWritten by Selena Langner\u003C\/p\u003E\u003Cp\u003EContact: \u003Ca href=\u0022mailto: jess.hunt@cos.gatech.edu\u0022\u003EJess Hunt-Ralston\u003C\/a\u003E\u003C\/p\u003E","format":"limited_html"}],"email":[],"slides":[],"orientation":[],"userdata":""}}}