Tatiana Toro

Q: What Schools Are Affiliated With Tatiana Toro

Tatiana Toro is affiliated with the following schools: University of California, Berkeley, Rutgers University, Seattle University, University of Chicago, Stanford University, National University of Colombia, University of Washington

Tatiana Toro's AcademicInfluence.com Rankings

Tatiana Toro

Mathematics

#2413

World Rank

#3738

Historical Rank

Algebraic Geometry

#235

World Rank

#246

Historical Rank

Geometry

#207

World Rank

#289

Historical Rank

Measure Theory

#548

World Rank

#763

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Tatiana Toro's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley

Why Is Tatiana Toro Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Tatiana Toro is a Colombian-American mathematician at the University of Washington. Her research is "at the interface of geometric measure theory, harmonic analysis and partial differential equations". Toro was appointed director of the Simons Laufer Mathematical Sciences Institute for 2022–2027.

(See a Problem?)

Tatiana Toro's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Free boundary regularity for harmonic measures and Poisson kernels (1999) (162)
A New Approach to Absolute Continuity of Elliptic Measure, with Applications to Non-symmetric Equations☆ (2000) (137)
Doubling and Flatness: Geometry of Measures (1998) (113)
Poisson kernel characterization of Reifenberg flat chord arc domains (2003) (104)
Geometric conditions and existence of bi-Lipschitz parameterizations (1995) (95)
Reifenberg Parameterizations for Sets with Holes (2009) (92)
A new characterization of chord-arc domains (2014) (78)
Reifenberg flat metric spaces, snowballs, and embeddings (1999) (73)
Surfaces with generalized second fundamental form in $L^2$ are Lipschitz manifolds (1994) (69)
Asymptotically optimally doubling measures and Reifenberg flat sets with vanishing constant (2001) (64)
Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions (2007) (51)
Free boundary regularity below the continuous threshold: 2-phase problems (2006) (47)
A generalization of Reifenberg’s theorem in R (2006) (45)
Compactness properties of weakly p-harmonic maps into homogeneous spaces (1995) (44)
Square Functions and the A∞ Property of Elliptic Measures (2016) (44)
The Cauchy problem for Schrodinger flows into Kahler manifolds (2005) (40)
Divergence form operators in Reifenberg flat domains (2008) (38)
A∞ implies NTA for a class of variable coefficient elliptic operators (2016) (35)
Regularity of almost minimizers with free boundary (2013) (34)
Rectifiability via a square function and Preiss' theorem (2014) (28)
Wasserstein distance and the rectifiability of doubling measures: part I (2014) (27)
Square Functions and the $$A_\infty $$A∞ Property of Elliptic Measures (2014) (27)
Uniform Rectifiability and Elliptic Operators Satisfying a Carleson Measure Condition (2017) (26)
Harmonic Analysis on Chord Arc Domains (2011) (25)
On the smoothness of Hölder doubling measures (2009) (25)
Free boundary regularity for almost-minimizers (2017) (23)
A Generalization Of Reifenberg’s Theorem In $${\mathbb{R}}^3$$ (2008) (21)
Structure of sets which are well approximated by zero sets of harmonic polynomials (2015) (19)
Perturbations of elliptic operators in chord arc domains (2012) (17)
Perturbations of elliptic operators in 1-sided chord-arc domains. Part II: Non-symmetric operators and Carleson measure estimates (2019) (16)
Wasserstein distance and the rectifiability of doubling measures: part II (2014) (15)
Characterization of rectifiable measures in terms of 𝛼-numbers (2018) (15)
Regularity for almost-minimizers of variable coefficient Bernoulli-type functionals (2019) (12)
On the free boundary regularity theorem of Alt and Caffarelli (2003) (12)
On the smoothness of H\"older-doubling measures (2007) (12)
Free boundary regularity for the Poisson kernel below the continuous threshold (2002) (9)
Potential Analysis Meets Geometric Measure Theory (2011) (8)
Uniform rectifiability and elliptic operators with small Carleson norm (2017) (8)
Perturbation of elliptic operators in 1-sided NTA domains satisfying the capacity density condition (2019) (8)
Boundary rectifiability and elliptic operators with W1,1 coefficients (2017) (8)
Quasiconformal planes with bi-Lipschitz pieces and extensions of almost affine maps (2014) (7)
Regularity of the singular set in a two-phase problem for harmonic measure with Hölder data (2018) (6)
Quasisymmetry and rectifiability of quasispheres (2012) (4)
Square function and non-tangential maximal function estimates for elliptic operators in 1-sided NTA domains satisfying the capacity density condition (2021) (4)
Regularity of almost minimizers with free boundary (2014) (4)
Geometry of Measures : Harmonic Analysis meets Geometric Measure Theory (2008) (3)
Analysis and geometry on non-smooth domains (2018) (3)
Optimal Poisson kernel regularity for elliptic operators with H\"older-continuous coefficients in vanishing chord-arc domains (2020) (2)
Two phase free boundary problem for Poisson kernels (2019) (2)
Geometric Measure Theory–Recent Applications (2019) (2)
The Cauchy problem for Schr\"{o}dinger flows into K\"{a}hler manifolds (2009) (1)
Elliptic measures for Dahlberg–Kenig–Pipher operators: asymptotically optimal estimates (2021) (1)
Branch points for (almost-)minimizers of two-phase free boundary problems (2022) (1)
A P ] 1 J an 2 01 1 Harmonic Analysis on chord arc domains (2021) (0)
Wasserstein distance and the rectifiability of doubling measures: part I (2015) (0)
WHEN DO GOOD PARAMETERIZATIONS EXIST? (2006) (0)
QUASISYMMETRIC SPHERES CONSTRUCTED OVER QUASIDISKS (2013) (0)
Tatiana Toro - Geometry of measures and applications (Part 2) (2015) (0)
J un 2 01 4 A NEW CHARACTERIZATION OF CHORD-ARC DOMAINS (0)
Slowly vanishing mean oscillations: non-uniqueness of blow-ups in a two-phase free boundary problem (2022) (0)
Calculus of Variations (2019) (0)
Differential Operators and the Geometry of Domains in Euclidean Space (2020) (0)
Functions in W〓2,2〓(R〓2〓) have Lipschitz graphs (1992) (0)
\L ojasiewicz Inequalities and Generic Smoothness of Nodal Sets of Solutions to Elliptic PDE (2021) (0)
T. Toro - Geometry of measures and applications (Part 5) (2015) (0)
Potential theory and regularity of non-smooth domains (2011) (0)
A P ] 8 A pr 2 00 8 Divergence form operators in Reifenberg flat domains . (2021) (0)
Wasserstein distance and the rectifiability of doubling measures: part II (2016) (0)
Harmonic Analysis and Applications (2020) (0)
Harmonic Analysis on Chord Arc Domains (2012) (0)

This paper list is powered by the following services:

Other Resources About Tatiana Toro

What Schools Are Affiliated With Tatiana Toro?

Tatiana Toro is affiliated with the following schools:

Tatiana Toro's Academic­Influence.com Rankings

Tatiana Toro's Degrees

Why Is Tatiana Toro Influential?

Tatiana Toro's Published Works

Published Works

Other Resources About Tatiana Toro

What Schools Are Affiliated With Tatiana Toro?

Image Attributions

Tatiana Toro's AcademicInfluence.com Rankings