H. Blaine Lawson
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American mathematician
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Mathematics
H. Blaine Lawson's Degrees
- PhD Mathematics Stanford University
Why Is H. Blaine Lawson Influential?
(Suggest an Edit or Addition)According to Wikipedia, Herbert Blaine Lawson, Jr. is a mathematician best known for his work in minimal surfaces, calibrated geometry, and algebraic cycles. He is currently a Distinguished Professor of Mathematics at Stony Brook University. He received his PhD from Stanford University in 1969 for work carried out under the supervision of Robert Osserman.
H. Blaine Lawson'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
- Calibrated geometries (1982) (1279)
- Positive scalar curvature and the Dirac operator on complete riemannian manifolds (1983) (703)
- Complete Minimal Surfaces in S 3 (1970) (691)
- The classification of simply connected manifolds of positive scalar curvature (1980) (535)
- Local Rigidity Theorems for Minimal Hypersurfaces (1969) (445)
- Minimal submanifolds of low cohomogeneity (1971) (442)
- Spin and Scalar Curvature in the Presence of a Fundamental Group. I (1980) (350)
- Lectures On Minimal Submanifolds (1980) (334)
- Stability and isolation phenomena for Yang-Mills fields (1981) (301)
- On Stable Currents and Their Application to Global Problems in Real and Complex Geometry (1973) (196)
- Dirichlet duality and the nonlinear Dirichlet problem (2007) (179)
- Non-existence, non-uniqueness and irregularity of solutions to the minimal surface system (1977) (159)
- Compact manifolds of nonpositive curvature (1972) (139)
- The theory of gauge fields in four dimensions (1985) (132)
- Algebraic cycles and homotopy theory (1989) (131)
- Quaternionic reduction and quaternionic orbifolds (1988) (131)
- Dirichlet Duality and the Nonlinear Dirichlet Problem on Riemannian Manifolds (2007) (109)
- A theory of algebraic cocycles (1992) (100)
- An intrinsic characterization of Kähler manifolds (1983) (99)
- Scalar curvature, non-abelian group actions, and the degree of symmetry of exotic spheres (1974) (96)
- The unknottedness of minimal embeddings (1970) (90)
- The equivariant Plateau problem and interior regularity (1972) (90)
- A theory of characteristic currents associated with a singular connection (1994) (87)
- Stability and gap phenomena for Yang-Mills fields. (1979) (82)
- Minimal varieties in real and complex geometry (1974) (82)
- Geometric plurisubharmonicity and convexity - an introduction (2011) (70)
- An introduction to potential theory in calibrated geometry (2007) (67)
- p-convexity, p-plurisubharmonicity and the Levi problem (2011) (65)
- Duality relating spaces of algebraic cocycles and cycles (1997) (58)
- Finite volume flows and Morse theory (2001) (57)
- Some intrinsic characterizations of minimal surfaces (1971) (55)
- Hyperbolic 4-manifolds and conformally flat 3-manifolds (1988) (53)
- Plurisubharmonicity in a General Geometric Context (2008) (52)
- On the mean curvature function for compact surfaces (1981) (52)
- Existence, Uniqueness and Removable Singularities for Nonlinear Partial Differential Equations in Geometry (2013) (52)
- Codimension-one foliations of spheres (1971) (49)
- Moving algebraic cycles of bounded degree (1998) (44)
- Geometric Residue Theorems (1995) (44)
- Split Special Lagrangian Geometry (2010) (42)
- Potential Theory on Almost Complex Manifolds (2011) (42)
- YANG-MILLS THEORY: ITS PHYSICAL ORIGINS AND DIFFERENTIAL GEOMETRIC ASPECTS (1982) (37)
- Spaces of algebraic cycles (1993) (36)
- Duality of positive currents and plurisubharmonic functions in calibrated geometry (2007) (34)
- Removable singularities for nonlinear subequations (2013) (32)
- Algebraic cycles and infinite loop spaces (1993) (30)
- The Global Behavior of Minimal Surfaces in S n (1970) (30)
- Calibrated Foliations (Foliations and Mass-Minimizing Currents) (1982) (29)
- Spin Geometry (Pms-38), Volume 38 (1990) (28)
- Hyperbolic polynomials and the Dirichlet problem (2009) (28)
- From Sparks to Grundles--Differential Characters (2003) (27)
- The equivalence of viscosity and distributional subsolutions for convex subequations — a strong Bellman principle (2013) (26)
- The riemannian geometry of holomorphic curves (1971) (26)
- Differential geometry : a symposium in honour of Manfredo do Carmo (1991) (26)
- Gårding's Theory of Hyperbolic Polynomials (2013) (25)
- The stable homology of flat torus. (1975) (25)
- Algebraic Cycles and Equivariant Cohomology Theories (1996) (25)
- The Restriction Theorem for Fully Nonlinear Subequations (2011) (24)
- Projective hulls and the projective Gelfand transform (2006) (22)
- Algebraic cycles and the classical groups. I: real cycles (2003) (20)
- Boundaries of complex analytic varieties (1974) (19)
- Transgressions, Chern-Simons invariants and the classical groups (1974) (17)
- Boundaries of varieties in projective manifolds (2004) (15)
- Smooth approximation of plurisubharmonic functions on almost complex manifolds (2014) (15)
- Lefschetz-Pontrjagin duality for differential characters (2001) (15)
- The Inhomogeneous Dirichlet problem for natural operators on manifolds (2018) (15)
- Tangents to subsolutions -- existence and uniqueness, Part I (2014) (14)
- Pseudoconvexity for the special Lagrangian potential equation (2020) (14)
- Morse theory and Stokes’ theorem (2002) (14)
- Holomorphic symmetries (2003) (13)
- The foundations of p-convexity and p-plurisubharmonicity in riemannian geometry (2011) (12)
- Fibered knots and foliations of highly connected manifolds (1972) (12)
- Addendum to Theorem 10.4 in "Boundaries of Analytic Varieties" (2000) (12)
- Clifford bundles, immersions of manifolds and the vector field problem (1980) (11)
- Singularities and Chern–Weil theory, I: The local MacPherson formula (2000) (10)
- Characterizing the strong maximum principle for constant coefficient subequations (2016) (10)
- D‐bar sparks (2005) (10)
- Classifying Foliations (2008) (9)
- The Dirichlet problem with prescribed interior singularities (2016) (9)
- Stretching phenomena in mappings of spheres (1968) (9)
- The topological structure of the space of algebraic varieties (1987) (9)
- Lagrangian potential theory and a Lagrangian equation of Monge-Amp\`ere type. (2017) (9)
- The AE Theorem and addition theorems for quasi-convex functions (2013) (9)
- Notes on the differentiation of quasi-convex functions (2013) (9)
- Embedding and surrounding with positive mean curvature (1984) (8)
- Projective Hulls and the Projective Gelfand Transformation (2005) (7)
- TANGENTS TO SUBSOLUTIONS EXISTENCE AND UNIQUENESS (2016) (7)
- Projective Linking and Boundaries of Positive Holomorphic Chains in Projective Manifolds, Part II (2005) (7)
- Comparison principles by monotonicity and duality for constant coefficient nonlinear potential theory and PDEs (2020) (6)
- Spaces of Algebraic Cycles Levels of Holomorphic Approximation (1995) (6)
- Approximation by positive mean curvature immersions: frizzing (1984) (6)
- Determinant majorization and the work of Guo-Phong-Tong and Abja-Olive (2022) (6)
- Algebraic cycles and the classical groups Part II : Quaternionic cycles (1998) (5)
- Algebraic cycles and the classical groups II: Quaternionic cycles (2005) (5)
- Singularities and Chern-Weil theory, II: Geometric atomicity (2003) (5)
- Pluriharmonics in general potential theories (2017) (4)
- Plurisubharmonic Functions in Calibrated Geometries (2006) (4)
- The Dirichlet Problem with Prescribed Asymptotic Singularities (2015) (3)
- Characterizing the Strong Maximum Principle (2013) (3)
- A generalization of the morse complex (1998) (3)
- Graph mappings and Poincaré duality (2009) (3)
- Algebraic Cycles and the Classical Groups - Part I, Real Cycles (1999) (3)
- Boundaries of Positive Holomorphic Chains and the Relative Hodge Question (2006) (3)
- A generalization of pde's from a Krylov point of view (2019) (2)
- Lagrangian potential theory in symplectic geometry (2017) (2)
- Cycles and Spectra (2003) (2)
- The Projective Hull of Certain Curves in C^2 (2006) (2)
- Boundaries of Positive Holomorphic Chains (2006) (2)
- Population Census: Some Recent British Developments in Methodology (1973) (1)
- Analytic Disks and the Projective Hull (2008) (1)
- SINGULARITIES AND CHERN-WEIL THEORY , II Geometric (1)
- The Self-dual Yang–Mills Equations (1985) (1)
- Duality Relating Spaces of Algebraic Cocycles and (1997) (1)
- Remarks on the Alexander-Wermer Theorem for Curves (2006) (1)
- Tangents to Subsolutions Existence and Uniqueness, II (2017) (1)
- *(Γ_{}^{}) and Gelfand-Fuks cohomology (2007) (0)
- The Richberg technique for subsolutions (2020) (0)
- I. Clifford Algebras, Spin Groups and Their Representations (1990) (0)
- QUATERNIONIC KAHLER MANIFOLDS(Geometry of Moduli spaces and 4-dimensional Manifolds) (1987) (0)
- C V ] 1 3 O ct 2 00 5 Projective Hulls and the Projective Gelfand Transform (2004) (0)
- Notes on the article:A current approach to Morse and Novikov theories (2015) (0)
- THE MINIMAL VARIETIES ASSOCIATED TO A CLOSED FORM (1984) (0)
- Moving Algebraic Cycles of Bounded DegreeEric (2007) (0)
- III. Index Theorems (1990) (0)
- Appendix B. Classifying Spaces and Characteristic Classes (1990) (0)
- Appendix D. Spin‘-Manifolds (1990) (0)
- Isadore M. Singer (1924–2021) In Memoriam Part 1: Scientific Works (2022) (0)
- Surveys in Differential Geometry (2012) (0)
- FINITE VOLUME FLOWS AND MORSE THEORY 7 Lemma (2000) (0)
- The equivalence of viscosity and distributional subsolutions for convex subequations — a strong Bellman principle (2013) (0)
- Appendix C. Orientation Classes and Thom Isomorphisms in K-Theory (1990) (0)
- Tangents to Subsolutions Existence and Uniqueness, II (2017) (0)
- O ct 2 00 2 Lagrangian surfaces with circular ellipse of curvature in complex space forms (2008) (0)
- Stephen Yau’s work in several complex variables (2019) (0)
- II. Spin Geometry and the Dirac Operators (1990) (0)
- A T ] 1 8 D ec 1 99 9 ALGEBRAIC CYCLES AND THE CLASSICAL GROUPS Part I , Real Cycles by (1998) (0)
- IV. Applications in Geometry and Topology (1990) (0)
- Moving Algebrai Cy les of Bounded Degree (2015) (0)
- Appendix A. Principal G-Bundles (1990) (0)
- A P ] 3 0 Ju l 2 01 6 THE DIRICHLET PROBLEM WITH PRESCRIBED INTERIOR SINGULARITIES (2016) (0)
- Memories of Shoshichi Kobayashi (2013) (0)
- Moving Algebrai Cy les of Bounded DegreeEri (2007) (0)
- Smooth approximation of plurisubharmonic functions on almost complex manifolds (2016) (0)
- Steele Prize for Mathematical Exposition (0)
- MINIMAL SURFACES WITH CONSTANT (2010) (0)
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