Geometry of Measures (Tatiana Toro) - MAA MathFest 2023

Friday, August 4, 2023
MAA MathFest 2023

AWM-MAA Etta Zuber Falconer Lecture
Geometry of Measures
Tatiana Toro, University of Washington, Mathematical Sciences Research Institute (MSRI)

In this talk I will describe the question that has motivated my recent work in Geometry Measure Theory. We will explore whether the behavior of a measure on balls in different metrics provides information about the structure of the support of the measure. Along the way we will see how concepts learned in calculus play an important role in this area of mathematics.

Biography:

Tatiana Toro joined the Department of Mathematics at University of Washington in 1996.

She is currently the Craig McKibben & Sarah Merner Professor in Mathematics. Her primary research interest lies in the interface of Partial Differential Equations, Harmonic Analysis and Geometric Measure Theory. She earned her PhD from the Stanford University under the supervision of Leon Simon (1992) and received her BS equivalent from the Universidad Nacional de Colombia, Bogota, Colombia (1986). She was a visiting member at the Institute for Advanced Study in Princeton, NJ (1992–1993). She was a Morrey Jr. Assistant Professor, University of California at Berkeley (1993-1994) and an Assistant Professor at the University of Chicago (1994-1996).

Her honors and awards include Sloan Fellowship (1998–2002), Guggenheim Fellowship (2015–2016), Simons Foundation Fellowship (2012-2013 & 2019-2020). She was an invited session speaker to the International Congress of Mathematicians in 2010 in Hyderabad, India. She is a fellow of the American Mathematical Society (AMS), a member of the American Academy of Arts and Sciences and of the Academia Colombiana de Ciencias Exactas, Físicas y Naturales. Toro is the recipient of the 2020 Blackwell-Tapia Prize and of the 2019 Landolt

Distinguished Graduate Mentor Award from the University of Washington. Her research has been continuously supported by the National Science Foundation since 1994.

Toro served on the Board of Trustees of the Institute of Pure and Applied Mathematics (IPAM) and on the Board of Directors of the Pacific Institute for the Mathematical Sciences (PIMS). She currently serves on the Board of Directors of BIRS. She has played a leading role in the organization of the Latinx in the Mathematical Sciences conferences at IPAM (2015 & 2018).

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