Robert MacPherson | Academic Influence

Robert MacPherson 's AcademicInfluence.com Rankings

Robert MacPherson

Mathematics

#543

World Rank

#1049

Historical Rank

#244

USA Rank

Measure Theory

#2121

World Rank

#2564

Historical Rank

#613

USA Rank

mathematics Degrees

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Mathematics

Robert MacPherson 's Degrees

PhD Mathematics Princeton University

Why Is Robert MacPherson Influential?

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According to Wikipedia, Robert Duncan MacPherson is an American mathematician at the Institute for Advanced Study and Princeton University. He is best known for the invention of intersection homology with Mark Goresky, whose thesis he directed at Brown University, and who became his life partner. MacPherson previously taught at Brown University, the University of Paris, and the Massachusetts Institute of Technology. In 1983 he gave a plenary address at the International Congress of Mathematicians in Warsaw.

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Robert MacPherson '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

Stratified Morse theory (1988) (1195)
Equivariant cohomology, Koszul duality, and the localization theorem (1997) (729)
INTERSECTION HOMOLOGY THEORY (1980) (719)
Intersection homology II (1983) (586)
Chern Classes for Singular Algebraic Varieties (1974) (549)
A compactification of configuration spaces (1994) (537)
Combinatorial Geometries, Convex Polyhedra, and Schubert Cells (1987) (329)
A geometric setting for the quantum deformation of $GL_n$ (1990) (322)
Fourier Analysis of Uniform Random Number Generators (1967) (289)
Riemann-roch for singular varieties (1975) (285)
The von Neumann relation generalized to coarsening of three-dimensional microstructures (2007) (269)
Categorical Framework for the Study of Singular Spaces (1981) (234)
On the Spectrum of the Equivariant Cohomology Ring (2010) (230)
Elementary construction of perverse sheaves (1986) (167)
Geometry in Grassmannians and a generalization of the dilogarithm (1982) (160)
L2-cohomology and intersection homology of singular algebraic-varieties (1982) (157)
From moment graphs to intersection cohomology (2000) (127)
Intersection Theory on Spherical Varieties (1994) (115)
Riemann-Roch and topologicalK-theory for singular varieties (1979) (108)
A more accurate two-dimensional grain growth algorithm (2010) (96)
Homology of affine Springer fibers in the unramified case (2003) (91)
A combinatorial formula for the Pontrjagin classes (1992) (74)
Purity of equivalued affine Springer fibers (2003) (71)
Notes on motivic cohomology (1987) (59)
Geometry of compactifications of locally symmetric spaces (2002) (59)
Discrete series characters and the Lefschetz formula for Hecke operators (1997) (59)
Local contribution to the Lefschetz fixed point formula (1993) (58)
Making conical compactifications wonderful (1998) (51)
Geometric and topological properties of the canonical grain-growth microstructure. (2015) (46)
L'algèbre de cohomologie du complément, dans un espace affine, d'une famille finie de sous-espaces affines. (2000) (46)
Perverse sheaves and quivers (1996) (42)
Partial resolutions of nilpotent varieties (2019) (41)
Measuring Shape with Topology (2010) (40)
Complete topology of cells, grains, and bubbles in three-dimensional microstructures (2012) (38)
Intersecting Cycles on an Algebraic Variety (1977) (37)
Statistical topology of three-dimensional Poisson-Voronoi cells and cell boundary networks. (2013) (36)
The combinatorial formula of Gabrielov, Gelfand and Losik for the first Pontrjagin class (1978) (34)
Lefschetz fixed point theorem for intersection homology (1985) (34)
On the topology of complex algebraic maps (1982) (34)
Weighted cohomology (1994) (32)
Intersection homology of toric varieties and a conjecture of Kalai (1997) (31)
On the geometry of quadrics and their degenerations (1988) (29)
Characteristic classes of direct image bundles for covering maps (1987) (29)
Permutation Representations on Schubert Varieties (2007) (27)
Codimensions of root valuation strata (2006) (26)
On the topology of algebraic torus actions (1987) (26)
Simplicial Differential Forms with Poles (1991) (25)
Defining algebraic intersections (1978) (24)
The topological trace formula (2001) (24)
Perverse sheaves with singularities along the curveyn=xm (1988) (24)
Statistical topology of cellular networks in two and three dimensions. (2012) (23)
Problems and Bibliography on Intersection Homology (1984) (22)
About the enumeration of contacts (1983) (21)
Morse theory and intersection homology theory (2019) (15)
Generic Vector Bundle Maps (1973) (15)
Morse Theory and Intersection Homology (1988) (14)
Euler characteristics and Lagrangian intersections (2006) (14)
A More Accurate Three-Dimensional Grain Growth Algorithm (2019) (13)
Microlocal Perverse Sheaves (2005) (12)
Geometric Construction of Polylogarithms, II (1993) (12)
Singularities of vector bundle maps (1971) (11)
Une construction elementaire des faisceaux perverse (1984) (10)
Topological Similarity of Random Cell Complexes and Applications to Dislocation Configurations (2014) (9)
Regular points in affine Springer fibers (2003) (9)
Springer's Weyl group representations through characteristic classes of cone bundles (1987) (7)
Equivariant Invariants and Linear Geometry (2007) (7)
Configuration spaces of disks in an infinite strip (2019) (7)
Distribution of Topological Types in Grain-Growth Microstructures. (2020) (5)
Roundness of grains in cellular microstructures. (2016) (4)
Configuration spaces of hard squares in a rectangle. (2020) (4)
Local Intersection Cohomology of Baily–Borel Compactifications (2002) (4)
Corrigendum to: A more accurate three-dimensional grain growth algorithm [Acta Mater. 59 (2011) 6837–6847] (2014) (4)
Séminaire Bourbaki vol. 1976/77 Exposés 489–506 (1978) (3)
Proof of the Main Theorems (1988) (2)
Lefschetz Fixed Point Theorem and Intersection Homology (1984) (2)
"Nilpotent Orbits, Primitive Ideals, and Characteristic Classes": A Geometric Perspective In Ring Theory (2011) (2)
Statement of Results (1988) (1)
IMPOSSIBLE LEGENDRE COEFFICIENTS (1966) (1)
Introduction to higher logarithms (1991) (1)
Raoul Bott Collected Papers (1994) (1)
Making Conical Compactifications into Wonderful Ones (1995) (1)
Archaeological Sources (2020) (0)
Absence of Characteristic Covectors: Lemmas for Moving the Wall (1988) (0)
Morse Theory of the Complex Link (1988) (0)
LOCAL INTERSECTION COHOMOLOGYOF (0)
Local, Normal, and Tangential Morse Data are Well Defined (1988) (0)
Asymptotic Betti numbers for hard squares in the homological liquid regime (2022) (0)
Equivariant characteristic classes of orbital cone bundles (1989) (0)
Characteristic Classes and Primitive Ideals (1989) (0)
Whitney Stratifications and Subanalytic Sets (1988) (0)
A NEW PROOF OF THE AGREEMENT BETWEEN THE CLASSES DEFINED BY (2008) (0)
Generalities on equivariant K—theory (1989) (0)
Normal Morse Data of Two Morse Functions (1988) (0)
A ug 2 00 0 FROM MOMENT GRAPHS TO INTERSECTION COHOMOLOGY (2008) (0)
Dramatis Personae and the Main Theorem (1988) (0)
Equivariant K—theory of torus actions and formal characters (1989) (0)
Topological aspects of Boolean functions (2022) (0)
A Sample Computation of Intersection Homology (1984) (0)
Homotopy Type of the Morse Data (1988) (0)
Mathematics related to physics (1995) (0)
Topology and Lie groups (1994) (0)
Proof of the Main Theorem (1988) (0)
The Topology of Complex Analytic Varieties and the Lefschetz Hyperplane Theorem (1988) (0)
Connectivity Theorems for q-Defective Pairs (1988) (0)
Morse Theory of ℝ n (1988) (0)
Moving the Wall (1988) (0)
Normal Morse Data for Complex Analytic Varieties (1988) (0)
de Matematica, 1973, 321–327. [5] Chern Classes for Singular Algebraic Varieties, Annals of Math 100 (1974), 423–432. [6] Les Classes Caractéristiques et le Théorème de Riemann-Roch pour les Variétiés Singulières, (1973) (0)
Lightness and gravity (1997) (0)
Nonproper Morse Functions (1988) (0)
Morse Functions and Nondepraved Critical Points (1988) (0)
Security, insecurity and migration in Europe by Gabriella Lazaridis. Ashgate Publishing Limited, Farnham and Burlington, 2011. No of pages: xiii + 293 (328). Price: $65.00 (hardback). ISBN 978 1 40940 920 5 (2011) (0)
Relative Morse Theory of Nonproper Functions (1988) (0)
A Description of Springer’s Weyl Group Representations in Terms of Characteristic Classes of Cone Bundles (1989) (0)
Relative Morse Theory (1988) (0)
Geometry of the Order Complex (1988) (0)
Proofs of Theorems B, C, and D (1988) (0)
A G ] 2 0 Se p 20 00 FROM MOMENT GRAPHS TO INTERSECTION COHOMOLOGY (2021) (0)
Applications of intersection homology(Algebraic Groups and Related Topics) (1984) (0)

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