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**Jessica A. Shepherd Purcell** is an American mathematician specializing in low-dimensional topology whose research topics have included hyperbolic Dehn surgery and the Jones polynomial. She is a professor of mathematics at Monash University in Melbourne, Australia.^{[1]}

Purcell credits a high school mathematics teacher, Mr. Pehrson, for her interest in mathematics.^{[2]} She majored in mathematics as an undergraduate at the University of Utah, with a minor in computer science. She was a co-winner of the 1998 Alice T. Schafer Prize for Excellence in Mathematics by an Undergraduate Woman of the Association for Women in Mathematics,^{[3]}^{[4]} and graduated summa cum laude in 1998.^{[1]}

After earning a master's degree in mathematics at the University of Michigan in 1999,^{[1]} Purcell completed her Ph.D. at Stanford University in 2004. Her dissertation, *Cusp Shapes of Hyperbolic Link Complements and Dehn Filling*, was supervised by Steven Kerckhoff.^{[1]}^{[5]}

After postdoctoral research at the University of Texas at Austin and University of Oxford, Purcell became an assistant professor at Brigham Young University in 2007.^{[1]} She was named a Sloan Research Fellow in 2011,^{[1]}^{[6]} and earned tenure at Brigham Young in 2013. After visits to Monash University and at the Institute for Advanced Study as a Von Neumann Fellow, she moved to Monash as an associate professor in 2015, became an ARC Future Fellow in 2017, and was named full professor in 2019.^{[1]}

She chaired the Women in Mathematics Special Interest Group of the Australian Mathematical Society for 2018–2019 and 2019–2020.^{[7]}

Purcell is the author of the book *Hyperbolic Knot Theory* (Graduate Studies in Mathematics 209, American Mathematical Society, 2020).^{[8]} With David Futer and Efstratia Kalfagianni she is a coauthor of *Guts of Surfaces and the Colored Jones Polynomial* (Lecture Notes in Mathematics 2069, Springer, 2012).^{[9]}

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^{a}^{b}^{c}^{d}^{e}^{f}^{g}*Curriculum vitae*(PDF), Monash University, retrieved 2021-03-14 **^**Purcell, Jessica,*Biography: Some frequently asked questions*, Brigham Young University, retrieved 2021-03-14**^***Alice T. Schafer Prize for Excellence in Mathematics by an Undergraduate Woman 1998*, Association for Women in Mathematics, retrieved 2021-03-14**^**Gallian, Joseph A. (June–July 2019), "The First Twenty-Five Winners of the AWM Alice T. Schafer Prize" (PDF),*Notices of the American Mathematical Society*,**66**(6): 870–874, doi:10.1090/noti1892**^**Jessica Purcell at the Mathematics Genealogy Project**^**"Math Professor Jessica Purcell Wins Prestigious Fellowship",*BYU News*, Brigham Young University, 23 February 2011**^***Past WIMSIG executive committees*, Australian Mathematical Society, retrieved 2021-03-14**^**Review of*Hyperbolic Knot Theory*: Henry Segerman,*MAA Reviews***^**Reviews of*Guts of Surfaces and the Colored Jones Polynomial*: Heather A. Dye, MR3024600; Daniel Moskovich, Zbl 1270.57002

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