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Lauren Williams

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Lauren Williams httpsmathberkeleyeduwilliamsLaurenportrait

Lauren Kiyomi Williams is an American mathematician known for her work on cluster algebras and tropical geometry. She is a professor of mathematics at the University of California, Berkeley.

Williams was the valedictorian of Palos Verdes Peninsula High School in 1996, and graduated from Harvard University in 2000 with a B.A. in mathematics, magna cum laude. She received her PhD in 2005 at the Massachusetts Institute of Technology under the supervision of Richard P. Stanley. After postdoctoral positions at the University of California, Berkeley and Harvard, she rejoined the Berkeley mathematics department as an assistant professor in 2009, and was promoted to associate professor in 2013.

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

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 .
  • 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, 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, doi:10.1073/pnas.1102627108, MR 2813307 .
  • Ardila, Federico; Rincón, Felipe; Williams, Lauren (2016), "Positroids and non-crossing partitions", Transactions of the American Mathematical Society, 368 (1): 337–363, doi:10.1090/tran/6331, MR 3413866 .
  • References

    Lauren Williams Wikipedia