Frederick J. Almgren Jr.
#65,010
Most Influential Person Now
American mathematician
Frederick J. Almgren Jr.'s AcademicInfluence.com Rankings
Frederick J. Almgren Jr.mathematics Degrees
Mathematics
#4329
World Rank
#6173
Historical Rank
#1509
USA Rank
Measure Theory
#2341
World Rank
#2800
Historical Rank
#662
USA Rank

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Mathematics
Why Is Frederick J. Almgren Jr. Influential?
(Suggest an Edit or Addition)According to Wikipedia, Frederick Justin Almgren Jr. was an American mathematician working in geometric measure theory. He was born in Birmingham, Alabama. Almgren received a Guggenheim Fellowship in 1974. Between 1963 and 1992 he was a frequent visiting scholar at the Institute for Advanced Study in Princeton.
Frederick J. Almgren Jr.'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
- Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints (1975) (467)
- Some Interior Regularity Theorems for Minimal Surfaces and an Extension of Bernstein's Theorem (1966) (310)
- Symmetric decreasing rearrangement is sometimes continuous (1989) (251)
- Existence and Regularity Almost Everywhere of Solutions to Elliptic Variational Problems among Surfaces of Varying Topological Type and Singularity Structure (1968) (212)
- $Q$ valued functions minimizing Dirichlet's integral and the regularity of area minimizing rectifiable currents up to codimension two (1983) (203)
- Optimal isoperimetric inequalities (1985) (134)
- Plateau's problem : an invitation to varifold geometry (1968) (101)
- The structure of stationary one dimensional varifolds with positive density (1976) (100)
- On the radial behavior of minimal surfaces and the uniqueness of their tangent cones (1981) (87)
- Regularity and singularity estimates on hypersurfaces minimizing parametric elliptic variational integrals (1977) (76)
- Existence of embedded solutions of Plateau's problem (1979) (74)
- Co-Area, Liquid Crystals, and Minimal Surfaces (1988) (66)
- Singularities of energy minimizing maps from the ball to the sphere: Examples, counterexamples, and bounds (1988) (64)
- Geometric Measure Theory and the Calculus of Variations (1986) (37)
- Review: Enrico Giusti, Minimal surfaces and functions of bounded variation (1987) (36)
- The mean curvature integral is invariant under bending (1998) (30)
- Examples of unknotted curves which bound only surfaces of high genus within their convex hulls (1977) (28)
- Plateau's Problem (1966) (25)
- Minimal surface forms (1982) (18)
- Liquid crystals and geodesics (1981) (13)
- Symmetric Decreasing Rearrangement Can Be Discontinuous (1989) (13)
- Measure theoretic geometry and elliptic variational problems (1969) (10)
- Mass continuous cochains are differential forms (1965) (8)
- Three theorems on manifolds with bounded mean curvature (1965) (8)
- Singularities of energy-minimizing maps from the ball to the sphere (1987) (8)
- APPROXIMATION OF RECTIFIABLE CURRENTS BY LIPSCHITZ Q VALUED FUNCTIONS (1984) (7)
- An isoperimetric inequality (1964) (5)
- A maximum principle for elliptic variational problems (1969) (4)
- THE (NON)CONTINUITY OF SYMMETRIC DECREASING REARRANGEMENT (2002) (4)
- Multi-functions Mod ν (1991) (3)
- THE PLATEAU PROBLEM I. Historical Survey II. The Present State of the Theory (Studies in the Development of Modern Mathematics) (1992) (3)
- The geometric calculus of variations and modelling natural phenomena (1993) (3)
- Counting Singularities in Liquid Crystals (1990) (2)
- Existence and regularity of solutions to elliptic calculus of variations problems among surfaces of varying topological type and singularity structure (1967) (2)
- The phenomena of least area problems (2001) (1)
- Rectiflability of ∞at chains (1999) (0)
- Geometric Measure Theory. A Beginner's Guide. By Frank Morgan (1989) (0)
- Integration of differential forms over rectifiable sets (2001) (0)
- Gafa Geometric and Functional Analysis Steiner Symmetrization Is Continuous (0)
- Book Review: Variational principles of topology. Multidimensional minimal surface theory (1992) (0)
- GEOMETRIC MEASURE THEORY (1971) (0)
- Variational problems involving varifolds (2001) (0)
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