Victoria Ann Powers is an American mathematician specializing in algebraic geometry and known for her work on positive polynomials and on the mathematics of electoral systems. [1] She is a professor in the department of mathematics at Emory University.
She is the author of the book Certificates of Positivity for Real Polynomials—Theory, Practice, and Applications (Springer, 2021). [2] A review on MathSciNet said that "In the reviewer's opinion this is a very nice and concise presentation of the most important pillars of real algebra up to the present time"
Powers graduated from the University of Chicago in 1980, with a bachelor's degree in mathematics. She completed her Ph.D. in 1985 at Cornell University. [3] Her dissertation, Finite Constructable Spaces of Signatures, was supervised by Alex F. T. W. Rosenberg. [4]
After completing her doctorate, she joined the faculty at the University of Hawaii, but moved to Emory University only two years later, in 1987. She was on leave from Emory as a Humboldt Fellow and Alexander von Humboldt research professor at the University of Regensburg in 1991–1992, as a visiting professor at the Complutense University of Madrid in 2002–2003, and as a program officer at the National Science Foundation in 2013–2015. [3] From 2012-2014, Powers served as a Council Member at Large for the American Mathematical Society. [5]
Powers' work moved from abstract real algebraic geometry to more concrete questions related to positive polynomials in one and several variables and voting theory. Her collaborators have included Eberhard Becker, Mari Castle, Bruce Reznick, Claus Scheiderer and Thorsten Wormann.
In May 2024, Powers was the recipient of Emory University's George P. Cuttino Award for mentoring. [6]
Powers is married to Colm Mulcahy, an Irish mathematician who had the same doctoral advisor. [7]
Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems. Classically, it studies zeros of multivariate polynomials; the modern approach generalizes this in a few different aspects.
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