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Anthony Várilly-Alvarado's research interests lie at the interface of algebraic geometry and number theory.  He studies the fundamental arithmetic properties of solutions to systems of polynomial equations in several variables, especially those systems whose geometric avatars are four-dimensional spaces.  Before joining Rice, Várilly-Alvarado received an A.B. in Mathematics from Harvard University, he completed Part III of the Mathematical Tripos at the University of Cambridge, and obtained a Ph. D. in Mathematics from UC Berkeley.  He has taught a variety of courses, ranging from introductory courses like Single Variable Calculus and Honors Linear Algebra through to advanced graduate courses on Elliptic Curves and Algebraic Surfaces.

Research Areas

Algebraic Geometry, Number Theory


B.A. in Mathematics, Harvard University, 2003

Certificate of Advanced Study in Mathematics, University of Cambridge, 2004

Ph.D. in Mathematics, University of California, Berkeley, 2009

Honors & Awards

CTE Faculty Fellow, 2020-23

National Science Foundation CAREER award

Fellow of the American Mathematical Society, 2021

George R. Brown Award for Superior Teaching, 2016, 2018, 2020

Sophia Meyer Farb Prize for Teaching, Phi Beta Kappa, 2013


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