David Allen Hoffman | Academic Influence

David Allen Hoffman's AcademicInfluence.com Rankings

David Allen Hoffman

Mathematics

#4431

World Rank

#6296

Historical Rank

#1523

USA Rank

Measure Theory

#2914

World Rank

#3462

Historical Rank

#842

USA Rank

mathematics Degrees

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Mathematics

David Allen Hoffman's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is David Allen Hoffman Influential?

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According to Wikipedia, David Allen Hoffman is an American mathematician whose research concerns differential geometry. He is an adjunct professor at Stanford University. In 1985, together with William Meeks, he proved that Costa's surface was embedded. He is a fellow of the American Mathematical Society since 2018, for "contributions to differential geometry, particularly minimal surface theory, and for pioneering the use of computer graphics as an aid to research." He was awarded the Chauvenet Prize in 1990 for his expository article "The Computer-Aided Discovery of New Embedded Minimal Surfaces". He obtained his Ph.D. from Stanford University in 1971 under the supervision of Robert Osserman.

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David Allen Hoffman'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

Sobolev and isoperimetric inequalities for riemannian submanifolds (2010) (285)
The strong halfspace theorem for minimal surfaces (1990) (257)
Complete embedded minimal surfaces of finite total curvature (1995) (209)
The Geometry of the Generalized Gauss Map (1981) (199)
The Gauss Map of Surfaces in R3 and R4 (1985) (100)
Boundary value problems for surfaces of constant Gauss Curvature (1992) (88)
A complete embedded minimal surface in ${\bf R}\sp 3$ with genus one and three ends (1985) (79)
Graphical translators for mean curvature flow (2018) (68)
A COMPLETE EMBEDDED MINIMAL SURFACE IN R3 WITH GENUS ONE AND 3 ENDS (1985) (65)
On the Gauss map of complete surfaces of constant mean curvature in R3 and R4 (1982) (64)
The computer-aided discovery of new embedded minimal surfaces (1987) (64)
Embedded minimal surfaces with an infinite number of ends (1989) (62)
Constant mean curvature surfaces in $M^2\times \mathbf{R}$ (2005) (59)
Surfaces of constant mean curvature in manifolds of constant curvature (1973) (56)
The structure of singly-periodic minimal surfaces (1990) (53)
An embedded genus-one helicoid. (2004) (45)
The asymptotic behavior of properly embedded minimal surfaces of finite topology (1989) (45)
Constant mean curvature surfaces in M2 × R (2006) (45)
Minimal surfaces based on the catenoid (1990) (43)
The Gauss map of surfaces in $\mathbf{R}^n$ (1983) (42)
A correction to: Sobolev and isoperimetric inequalities for riemannian submanifolds (1975) (40)
Adding handles to the helicoid (1993) (40)
The area of the generalized Gaussian image and the stability of minimal surfaces inSn and ℝn (1982) (34)
Computer graphics tools for the study of minimal surfaces (1988) (32)
Embedded minimal annuli inR3 bounded by a pair of straight lines (1991) (29)
The singly periodic genus-one helicoid (1996) (27)
Genus-one helicoids from a variational point of view (2006) (25)
Clay Mathematics Institute Summer School on the Global Theory of Minimal Surfaces (2001) (24)
Helicoidal minimal surfaces of prescribed genus (2013) (23)
Scherk-like translators for mean curvature flow (2019) (22)
Notes on Translating Solitons for Mean Curvature Flow (2019) (21)
Geometric Analysis and Computer Graphics (1991) (19)
A VARIATIONAL APPROACH TO THE EXISTENCE OF COMPLETE EMBEDDED MINIMAL-SURFACES (1988) (19)
THE GAUSS MAP OF SURFACES IN R n (2008) (18)
A Family of Singly Periodic Minimal Surfaces Invariant under a Screw Motion (1993) (17)
Sequences of embedded minimal disks whose curvatures blow up on a prescribed subset of a line (2009) (17)
Surfaces in constant curvature manifolds with parallel mean curvature vector field (1972) (16)
SOME BASIC FACTS, OLD AND NEW, ABOUT TRIPLY PERIODIC EMBEDDED MINIMAL SURFACES (1990) (14)
Properties of properly embedded minimal surfaces of finite topology (1987) (12)
Limits of minimal surfaces and Scherk's Fifth Surface (1990) (12)
Deforming the Singly Periodic Genus-One Helicoid (2002) (11)
Helicoidal minimal surfaces of prescribed genus, II (2013) (10)
The geometry of genus-one helicoids (2007) (10)
Nguyen’s tridents and the classification of semigraphical translators for mean curvature flow (2019) (10)
Axial minimal surfaces in S^2 x R are helicoidal (2009) (9)
Embedded Minimal Ends Asymptotic to the Helicoid (1997) (7)
The Construction of Families of Embedded Minimal Surfaces (1987) (6)
Embedded minimal surfaces, computer graphics and elliptic functions (1985) (4)
Correction to: Graphical translators for mean curvature flow (2019) (4)
Continuous actions of compact Lie groups on Riemannian manifolds (1976) (4)
On the number of minimal surfaces with a given boundary (2008) (4)
Global theory of minimal surfaces : proceedings of the Clay Mathematics Institute 2001 Summer School, Mathematical Sciences Research Institute, Berkeley, California, June 25-July 27, 2001 (2005) (3)
Natural minimal surfaces : via theory and computation (1990) (3)
M ay 1 99 6 THE SINGLY PERIODIC GENUS-ONE HELICOID (1999) (2)
The diameter of orbits of compact groups of isometries; Newman’s theorem for noncompact manifolds (1977) (2)
Natural minimal surfaces (videotape): via theory and computation (1990) (2)
CONSTANT MEAN CURVATURE SURFACES IN M × R (2005) (1)
Remarks on a geometric constant of Yau (1980) (1)
Limiting behavior of sequences of properly embedded minimal disks (2017) (1)
Morse-Rad\'o Theory for Minimal Surfaces (2022) (1)
Geometry, analysis, and computation in mathematics and applied sciences. Final report (1995) (0)
The computational and scientific graphics laboratory at MSRI. Progress report (1996) (0)
Geometric Analysis and Computer Graphics: Proceedings of a Workshop held May 23-25, 1988 (2011) (0)
The FINITE STRING, Volume 13, Number 1 (1976) (0)
The computational and scientific graphics laboratory at MSRI: Progress report, January 15, 1996-January 15, 1997 (1997) (0)
Computation and graphics in mathematical research. Progress report, September 15, 1992--September 15, 1993 (1993) (0)
BRIAN WHITE-MINIMAL SURFACES (MATH 258) LECTURE NOTES NOTES BY OTIS CHODOSH AND CHRISTOS MANTOULIDIS (2013) (0)
Computation and graphics in mathematical research (1991) (0)
[Geometry, analysis, and computation in mathematics and applied science]. Progress report (1994) (0)
Computation and graphics in mathematical research. Progress report, June 1, 1991--May 31, 1992 (1992) (0)
FINAL REPORT: DOE-FG03-95ER25250 (2006) (0)

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