{"664039":{"#nid":"664039","#data":{"type":"news","title":"Georgia Tech Mathematicians at the Forefront of Research with ICERM at Brown ","body":[{"value":"\u003Cp\u003EGeorgia Tech\u2019s \u003Ca href=\u0022https:\/\/math.gatech.edu\u0022\u003ESchool of Mathematics\u003C\/a\u003E is dedicated to exploring the frontiers of computational and experimental research in its discipline, so much so that one of the leading math research centers in the country now has a School of Mathematics professor serving as the \u003Ca href=\u0022https:\/\/icerm.brown.edu\/about\/boards\/\u0022\u003Echair of its board of trustees\u003C\/a\u003E.\u003C\/p\u003E\u003Cp\u003E\u003Ca href=\u0022https:\/\/sites.gatech.edu\/rkuske7-home\/\u0022\u003ERachel Kuske\u2019s\u003C\/a\u003E new role with the \u003Ca href=\u0022https:\/\/icerm.brown.edu\/\u0022\u003EInstitute for Computational and Experimental Research in Mathematics (ICERM)\u003C\/a\u003E is just one Georgia Tech connection to the Center, based at \u003Ca href=\u0022https:\/\/www.brown.edu\/\u0022\u003EBrown University\u003C\/a\u003E in Providence, Rhode Island.\u0026nbsp;\u003C\/p\u003E\u003Cp\u003EMore than 20 School of Mathematics faculty members and graduate students have participated in recent ICERM programs, including a series of seminars during Fall 2022\u2019s semester on harmonic analysis and convexity, mathematical processes that help researchers navigate large collections of data.\u003C\/p\u003E\u003Cp\u003E\u201cThe participation of School of Mathematics members at different levels in ICERM, one of several leading math research institutes in the U.S., is representative of the School\u2019s leadership in the broader research community,\u201d said Kuske, a former School of Mathematics chair. \u201cGeorgia Tech\u2019s multi-faceted involvement benefits our research groups as well as research advances and development of talent in the wider research community.\u201d\u003C\/p\u003E\u003Cp\u003E\u003Ca href=\u0022https:\/\/etnyre.math.gatech.edu\/\u0022\u003EJohn Etnyre\u003C\/a\u003E, a professor specializing in low-dimensional topology, is also involved in various ICERM activities, and helped co-organize a semester-long program on braid theory in Spring 2022. \u201cICERM is an excellent research center,\u201d Etnyre said. \u201cThey provide a great environment to collaborate with others, as well as great conference facilities. They are certainly one of the best mathematical research centers in the world, and they are unique in their focus on bringing computation and experimentation into mathematics.\u201d\u003C\/p\u003E\u003Cp\u003E\u003Cstrong\u003EMathematics labs and more\u003C\/strong\u003E\u003C\/p\u003E\u003Cp\u003EICERM\u2019s mission is to expand the use of computational and experimental methods in mathematics, support theoretical advances related to computation, and address problems posed by the existence and use of the computer through mathematical tools, research and innovation.\u003C\/p\u003E\u003Cp\u003EICERM pursues these goals by supporting what Kuske calls \u201cmathematics labs,\u201d which are typically human resource-intensive, and highly collaborative nationally and globally.\u0026nbsp;\u003C\/p\u003E\u003Cp\u003E\u201cICERM\u2019s goals include catalyzing new directions in research and collaborations, as well as exploiting and expanding the interface between mathematics, computations, and experiments, computational and otherwise,\u201d she said. These intersections have historically been represented in ICERM\u2019s scientific board, with Kuske citing \u003Ca href=\u0022https:\/\/randall.math.gatech.edu\/\u0022\u003EDana Randall\u003C\/a\u003E, ADVANCE Professor of Computing in the \u003Ca href=\u0022https:\/\/scs.gatech.edu\/\u0022\u003ESchool of Computer Science\u003C\/a\u003E, and an adjunct professor in the School of Mathematics, as an example.\u003C\/p\u003E\u003Cp\u003EKuske views chairing ICERM\u2019s Board of Trustees as a way to \u201cprovide an opportunity to contribute in several directions, including making sure that present and future resources, policies, and procedures support ICERM\u2019s mission.\u201d These include increasing diverse and inclusive participation in mathematical sciences and relevant areas, raising public awareness of the impact of mathematics, and continued service and leadership in the research community.\u003C\/p\u003E\u003Cp\u003EEtnyre said an important computational aspect to topology \u2014 the study of surfaces that can be twisted, bent, or otherwise deformed but never broken \u2014 has been around for a while, \u201cbut its importance has been increasing over the years,\u201d he said. For example, software called SnapPea\/SnapPy \u201cis a program where you can input a three-dimensional space and it will compute a myriad of data about the space. It also has a list of thousands of spaces and data about them. When trying to determine if something you are interested in is true or not, it is always helpful to be able to check its validity on such a large sample of spaces.\u201d\u003C\/p\u003E\u003Cp\u003EMore recently, Etnyre says several teams of people have been using machine learning algorithms to explore relations involving knot theory, the study of closed curves in three dimensional spaces. \u201cThere are many other ways in which computation and experimentation is important in topology, and it was great that the ICERM program was able to expose these techniques to a large number of researchers during our program.\u201d\u003C\/p\u003E\u003Cp\u003EKnot theory and an associated subdiscipline, braid theory, help bring structure to large, complex data problems. Possible applications include finding out more about DNA recombination, Etynre said.\u0026nbsp; \u201cThere are also connections with physics through string theory and gauge theory. There are connections between braids and many areas in mathematics. That was really the focus of the program at ICERM last spring,\u201d referring to the Spring 2022 program he helped co-organize at the center.\u003C\/p\u003E\u003Cp\u003E\u003Cstrong\u003ECollaboration on convexity\u0026nbsp;\u003C\/strong\u003E\u003C\/p\u003E\u003Cp\u003E\u003Ca href=\u0022https:\/\/glivshyts6.math.gatech.edu\/\u0022\u003EGalyna Livshyts\u003C\/a\u003E, associate professor in the Georgia Tech School of Mathematics;\u0026nbsp;Ben Jaye, assistant professor,\u0026nbsp;and postdoctoral researcher and visiting assistant professor \u003Ca href=\u0022http:\/\/manasavempati.com\/\u0022\u003ENaga Manasa Vempati\u003C\/a\u003E recently completed the semester-long program on harmonic analysis and convexity at ICERM. Livshyts said the center is one of several institutions around the world that provide such lengthy research opportunities for various areas in mathematics.\u003C\/p\u003E\u003Cp\u003E\u201cThe harmonic analysis and convexity research program presented us with the opportunity to collaborate with other researchers in the area during this time,\u201d Livshyts said. \u201cAlso, ICERM often hosts various interesting and stimulating workshops. ICERM is located in the buzzing town of Providence, and it has excellent facilities to allow people to discuss mathematics, and also provide some great views.\u201d\u003C\/p\u003E\u003Cp\u003E\u003Cem\u003EThe following Georgia Tech School of Mathematics faculty and students have participated in various recent ICERM programs:\u003C\/em\u003E\u003C\/p\u003E\u003Cp\u003E\u003Cem\u003EThe Combinatorial Algebraic Geometry virtual workshop in early February 2021 included Trevor Gunn, Arvind Ramaswami, Matthew Baker, Cvetelina Hill, and Alperen Ozdemir.\u003C\/em\u003E\u003C\/p\u003E\u003Cp\u003E\u003Cem\u003EMatthew Baker, Justin Chen, Tianyi Zhang, Anton Leykin, Josephine Yu, and Josiah Park also took part in Collaborate@ICERM projects in 2021.\u003C\/em\u003E\u003C\/p\u003E\u003Cp\u003E\u003Cem\u003ESchool of Mathematics students Yvon Verberne, Sudipta Kolay, Justin (Yi-Chang) Chen and Jiaqi Yang were named ICERM Postdoctoral Fellows for 2021-22.\u0026nbsp;\u003C\/em\u003E\u003C\/p\u003E\u003Cp\u003E\u003Cem\u003EProfessor John Entyre co-organized the Spring 2022 Braids semester program at ICERM, and Professor Dan Margalit participated in Braids in Symplectic and Algebraic Geometry. Postdoctoral students Miriam Kuzbary and Hannah Turner took part in the entire Braids program. Graduate student Sally Collins and undergraduate student Sarah Pritchard participated in the Braids in Low-Dimensional Topology conference in April.\u0026nbsp;\u003C\/em\u003E\u003C\/p\u003E\u003Cp\u003E\u003Cem\u003EGeorgia Tech faculty and students taking part in the Harmonic Analysis and Convexity program in September 2022 at ICERM include Manuel Fernandez, Orli Herscovici, Galyna Livshyts, Naga Manasa Vempati, Shixuan Zhang, Ben Jaye.\u003C\/em\u003E\u003C\/p\u003E\u003Cp\u003E\u003Cem\u003EMohit Singh and Swati Gupta are scheduled to participate in an ICERM program, Combinatorics and Optimization, March 27-31, 2023.\u0026nbsp;\u003C\/em\u003E\u003C\/p\u003E","summary":"","format":"limited_html"}],"field_subtitle":[{"value":"School of Mathematics Professor Rachel Kuske has been named board chair for the Institute for Computational and Experimental Research in Mathematics at Brown University."}],"field_summary":[{"value":"\u003Cp\u003ESchool of Mathematics Professor Rachel Kuske has been named board chair for Institute for Computational and Experimental Research in Mathematics (ICERM)\u0026nbsp;at Brown University,\u0026nbsp;strengthening a long-standing partnership between Georgia Tech and a top mathematics lab for numbers-crunching researchers.\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\r\n","format":"limited_html"}],"field_summary_sentence":[{"value":"School of Mathematics Professor Rachel Kuske has been named board chair for the Institute for Computational and Experimental Research in Mathematics at Brown University."}],"uid":"34434","created_gmt":"2022-12-21 19:37:41","changed_gmt":"2024-05-22 14:37:52","author":"Renay San Miguel","boilerplate_text":"","field_publication":"","field_article_url":"","dateline":{"date":"2022-12-21T00:00:00-05:00","iso_date":"2022-12-21T00:00:00-05:00","tz":"America\/New_York"},"extras":[],"hg_media":{"664040":{"id":"664040","type":"image","title":"Rachel 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Vibrations"},{"url":"https:\/\/cos.gatech.edu\/news\/four-college-sciences-instructors-receive-class-1934-teaching-achievement-awards","title":"Four College of Sciences Instructors Receive Class of 1934 Teaching Achievement Awards"}],"groups":[{"id":"1278","name":"College of Sciences"},{"id":"1279","name":"School of Mathematics"}],"categories":[{"id":"134","name":"Student and Faculty"}],"keywords":[{"id":"173647","name":"_for_math_site_"},{"id":"192249","name":"cos-community"},{"id":"4896","name":"College of Sciences"},{"id":"168854","name":"School of Mathematics"},{"id":"173361","name":"Rachel Kuske"},{"id":"191783","name":"Institute for Computational and Experimental Research in Mathematics"},{"id":"191784","name":"ICERM"},{"id":"175550","name":"John Etnyre"},{"id":"170088","name":"Galyna Livshyts"},{"id":"2926","name":"brown university"},{"id":"191785","name":"low-dimensional topology"},{"id":"171935","name":"harmonic 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