Lauren Williams

Lauren Kiyomi Williams is an American mathematician known for her work on cluster algebras and tropical geometry. She is a professor of mathematics at Harvard University.[1]

This article is about the American mathematician. For the Canadian wrestler, see Angelina Love. For the American sprinter and bobsledder, see Lauryn Williams. For the ice hockey player, see Lauren Williams (ice hockey).
Lauren Williams, 2015

Education

Williams was the valedictorian of Palos Verdes Peninsula High School in 1996, and graduated magna cum laude from Harvard University in 2000 with a A.B. in mathematics.[1] She received her PhD in 2005 at the Massachusetts Institute of Technology under the supervision of Richard P. Stanley.[2] Her dissertation was titled Combinatorial Aspects of Total Positivity.

Work

After postdoctoral positions at the University of California, Berkeley and Harvard, Williams rejoined the Berkeley mathematics department as an assistant professor in 2009, and was promoted to associate professor in 2013 and then full professor in 2016.[1]

Starting in the fall of 2018, she rejoined the Harvard mathematics department as a full professor, making her the second ever tenured female math professor at Harvard. The first, Sophie Morel, left Harvard in 2012.[3]

Awards

In 2012, she became one of the inaugural fellows of the American Mathematical Society.[4] She is the 2016 winner of the Association for Women in Mathematics and Microsoft Research Prize in Algebra and Number Theory.[5]

Selected publications
  • Williams, Lauren K. (2005), "Enumeration of totally positive Grassmann cells", Advances in Mathematics, 190 (2): 319–342, arXiv:math/0307271, doi:10.1016/j.aim.2004.01.003, MR 2102660.
  • Corteel, Sylvie; Mandelshtam, Olya; Williams, Lauren (2018), "From multiline queues to Macdonald polynomials via the exclusion process", arXiv, arXiv:1811.01024
  • Postnikov, Alex; Reiner, Victor; Williams, Lauren (2008), "Faces of generalized permutohedra", Documenta Mathematica, 13: 207–273, MR 2520477.
  • Musiker, Gregg; Schiffler, Ralf; Williams, Lauren (2011), "Positivity for cluster algebras from surfaces", Advances in Mathematics, 227 (6): 2241–2308, arXiv:0906.0748, doi:10.1016/j.aim.2011.04.018, MR 2807089.
  • Kodama, Yuji; Williams, Lauren K. (2011), "KP solitons, total positivity, and cluster algebras", Proceedings of the National Academy of Sciences of the United States of America, 108 (22): 8984–8989, arXiv:1105.4170, Bibcode:2011PNAS..108.8984K, doi:10.1073/pnas.1102627108, MR 2813307, PMC 3107278, PMID 21562211
  • Kodama, Yuji; Williams, Lauren K. (2014), "KP solitons and total positivity of the Grassmannian", Inventiones Mathematicae, 198 (3): 637–699, doi:10.1007/s00222-014-0506-3, MR 3279534
  • Ardila, Federico; Rincón, Felipe; Williams, Lauren (2016), "Positroids and non-crossing partitions", Transactions of the American Mathematical Society, 368 (1): 337–363, arXiv:1308.2698, doi:10.1090/tran/6331, MR 3413866.
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gollark: Technically 4 lines.
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References
  1. Lauren K. Williams, retrieved 2018-09-23.
  2. Lauren Williams at the Mathematics Genealogy Project
  3. "Math Dept Hires 2nd-Ever Female Tenured Prof, Ending Six-Year Drought | News | The Harvard Crimson". www.thecrimson.com. Retrieved 2018-05-01.
  4. List of Fellows of the American Mathematical Society, retrieved 2016-05-31.
  5. Lauren Williams wins the second AWM-Microsoft Research Prize in Algebra and Number Theory, Association for Women in Mathematics, June 3, 2015, retrieved 2016-05-31.
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