Panagiota Daskalopoulos

Panagiota Daskalopoulos's AcademicInfluence.com Rankings

Mathematics

#1899

World Rank

#3016

Historical Rank

Number Theory

#380

World Rank

#474

Historical Rank

Algebra

#517

World Rank

#687

Historical Rank

Measure Theory

#4016

World Rank

#4731

Historical Rank

mathematics Degrees

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Mathematics

Why Is Panagiota Daskalopoulos Influential?

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According to Wikipedia, Panagiota Daskalopoulos is a professor of mathematics at Columbia University whose research involves partial differential equations and differential geometry. At Columbia, she also serves as director of undergraduate studies for mathematics.

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Panagiota Daskalopoulos'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

Regularity of the free boundary for the porous medium equation (1998) (134)
Degenerate diffusions : initial value problems and local regularity theory (2007) (131)
Asymptotic behavior of flows by powers of the Gaussian curvature (2016) (123)
Classification of compact ancient solutions to the curve shortening flow (2008) (83)
On a singular diffusion equation (1995) (67)
Unique asymptotics of ancient convex mean curvature flow solutions (2015) (64)
On the extinction profile of solutions to fast diffusion (2006) (64)
Uniqueness of two-convex closed ancient solutions to the mean curvature flow (2018) (60)
Type II ancient compact solutions to the Yamabe flow (2012) (59)
Classification of ancient compact solutions to the Ricci flow on surfaces (2012) (58)
The free boundary in the Gauss Curvature Flow with flat sides (1999) (49)
Geometric estimates for the Logarithmic fast diffusion equation (2004) (46)
Eternal solutions to the Ricci flow on ℝ2 (2006) (45)
On Nonlinear Parabolic Equations of Very Fast Diffusion (1997) (38)
Worn stones with flat sides all time regularity of the interface (2004) (38)
Uniqueness of closed self-similar solutions to the Gauss curvature flow (2016) (36)
All time C∞-regularity of the interface in degenerate diffusion: a geometric approach (2001) (36)
Borderline Estimates for Fully Nonlinear Elliptic Equations (2012) (33)
Type II collapsing of maximal solutions to the Ricci flow in R2 (2007) (29)
Type II Extinction Profile of Maximal Solutions to the Ricci Flow in ℝ2 (2006) (29)
All Time Smooth Solutions of the One-Phase Stefan Problem and the Hele-Shaw Flow (2005) (26)
On Monge‐Ampère equations with homogenous right‐hand sides (2007) (26)
Uniqueness of compact ancient solutions to three-dimensional Ricci flow (2020) (26)
C^{1,1} regularity for degenerate elliptic obstacle problems (2012) (23)
Classification of compact ancient solutions to the Ricci flow on surfaces (2009) (23)
Unique Asymptotics of Compact Ancient Solutions to Three‐Dimensional Ricci Flow (2019) (20)
The evolution of complete non-compact graphs by powers of Gauss curvature (2016) (20)
Existence, uniqueness, and global regularity for degenerate elliptic obstacle problems in mathematical finance (2011) (20)
Free-boundary regularity for generalized porous medium equations (2003) (19)
Hölder regularity of solutions of degenerate elliptic and parabolic equations (2003) (19)
On the Cauchy problem for $u_t =\Delta\log u$ in higher dimensions (1999) (19)
The free boundary for the N-dimensional porous medium equation (1997) (18)
Translating solutions to the Gauss curvature flow with flat sides (2016) (17)
Extinction profile of complete non-compact solutions to the Yamabe flow (2013) (15)
Free-boundary regularity on the focusing problem for the Gauss Curvature Flow with flat sides (2001) (13)
Highly degenerate harmonic mean curvature flow (2008) (13)
C1,α regularity of solutions to parabolic Monge-Ampére equations (2012) (13)
Inverse mean curvature evolution of entire graphs (2017) (12)
New type i ancient compact solutions of the Yamabe flow (2015) (12)
Uniqueness of compact ancient solutions to the higher-dimensional Ricci flow (2021) (11)
Uniqueness of ancient solutions to Gauss curvature flow asymptotic to a cylinder (2020) (11)
C ∞-REGULARITY OF THE INTERFACE OF THE EVOLUTION P-LAPLACIAN EQUATION (2004) (11)
Harmonic Mean Curvature Flow on Surfaces of Negative Gaussian Curvature (2006) (10)
Ancient solutions to geometric flows (2014) (10)
Yamabe flow: Steady solitons and Type II singularities (2017) (10)
Weak and smooth solutions for a fractional Yamabe flow: The case of general compact and locally conformally flat manifolds (2017) (9)
Corrigendum to "Convergence of curve shortening flow to translating soliton" (2018) (9)
Type II singularities on complete non-compact Yamabe flow (2018) (8)
Convexity and all‐time C∞‐regularity of the interface in flame propagation (2002) (8)
$C^\infty$-regularity of the interface of the evolution p-laplacian equation (1998) (8)
The $$Q_k$$ flow on complete non-compact graphs (2016) (7)
The harmonic mean curvature flow of nonconvex surfaces in $${\mathbb{R}^3}$$ (2008) (7)
Evolution of non-compact hypersurfaces by inverse mean curvature (2018) (6)
On the Evolution of Convex Hypersurfaces by the Q k Flow (2009) (5)
Convergence of Gauss curvature flows to translating solitons (2019) (5)
The Cauchy Problem for Variable Coefficient Porous Medium Equations (1997) (4)
Nonradial solvability structure of super-diffusive nonlinear parabolic equations (2001) (3)
Uniqueness of entire graphs evolving by mean curvature flow (2021) (3)
Recent Progress on Super-Diffusive Nonlinear Parabolic Problems (2020) (3)
Uniqueness of ancient compact non-collapsed solutions to the 3-dimensional Ricci flow (2019) (3)
Fully degenerate Monge–Ampére equations (2012) (3)
Unique asymptotics of ancient compact non-collapsed solutions to the 3-dimensional Ricci flow (2019) (3)
The regularity of solutions in degenerate geometric problems (2014) (1)
Classification of bubble-sheet ovals in $\mathbb{R}^{4}$ (2022) (0)
Convergence of flows by powers of Gauss curvature to translating soliton (2019) (0)
$C^{1,\al}$ regularity of solutions to parabolic Monge-Amp\'ere equations (2009) (0)
Ancient solutions to Geometric Flows Lecture No 1 (2015) (0)
Classification of singularities in the complete conformally flat Yamabe flow (2007) (0)
Convergence of curve shortening flow to translating soliton (2021) (0)
The Ties That Bind: Olga Alexandrovna Ladyzhenskaya and the 2022 ICM in St. Petersburg (2020) (0)
Workshop on Geometric Flows (2006) (0)
P. Daskalopoulos * and N. Sesum (2006) (0)
Type II smoothing in mean curvature flow (2021) (0)

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Panagiota Daskalopoulos's Academic­Influence.com Rankings

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Panagiota Daskalopoulos's Published Works

Published Works

Other Resources About Panagiota Daskalopoulos

What Schools Are Affiliated With Panagiota Daskalopoulos?

Panagiota Daskalopoulos's AcademicInfluence.com Rankings