R. James Milgram

Q: What Schools Are Affiliated With R. James Milgram

R. James Milgram is affiliated with the following schools: University of Minnesota, Stanford University, University of Chicago

R. James Milgram's AcademicInfluence.com Rankings

R. James Milgram

Mathematics

#1680

World Rank

#2700

Historical Rank

#687

USA Rank

Measure Theory

#2561

World Rank

#3070

Historical Rank

#730

USA Rank

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Mathematics

Why Is R. James Milgram Influential?

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According to Wikipedia, Richard James Milgram is an American mathematician, specializing in algebraic topology. He is the son of mathematician Arthur Milgram. Biography Milgram graduated from the University of Chicago with a bachelor's degree and a master's degree in 1961. He received his doctorate in 1964 from the University of Minnesota with thesis The homology ring of symmetric products of Moore spaces under the supervision of Alfred Aeppli . Milgram taught from 1970 as a professor at Stanford University, where he is now emeritus. He was a visiting professor at the University of Lille , the Chinese Academy of Sciences in Beijing, at the University of Göttingen , and at the University of Minnesota , as well as the ETH Zurich, Edinburgh, Montreal, Barcelona, the MSRI, and the University of New Mexico.

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R. James Milgram'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

The classifying spaces for surgery and cobordism of manifolds (1979) (293)
Iterated loop spaces (1966) (175)
Cohomology of finite groups (1994) (171)
The bar construction and abelian $H$-spaces (1967) (125)
Algebraic and geometric topology (1978) (109)
The topology of rational functions and divisors of surfaces (1991) (99)
Complete Path Planning for Closed Kinematic Chains with Spherical Joints (2002) (85)
Finite Groups of Lie Type (1994) (82)
The topology of instanton moduli spaces, I: The Atiyah-Jones conjecture (1993) (75)
THE GEOMETRY OF CONFIGURATION SPACES FOR CLOSED CHAINS IN TWO AND THREE DIMENSIONS (2004) (68)
SURGERY WITH FINITE FUNDAMENTAL GROUP (1988) (66)
The Mod 2 Spherical Characteristic Classes (1970) (65)
The Schur Subgroup of the Brauer Group (1994) (65)
Unstable homotopy from the stable point of view (1974) (58)
Immersing Projective Spaces (1967) (55)
A survey of the spherical space form problem (1985) (51)
THE HOMOLOGY OF SYMMETRIC PRODUCTS (1969) (51)
CHAPTER 13 – Stable Homotopy and Iterated Loop Spaces (1995) (49)
and Surgery (1990) (47)
The topology of the space of rational maps into generalized flag manifolds (1994) (39)
Some spaces of holomorphic maps to complex Grassmann manifolds (1991) (38)
PL Characteristic Classes and Cobordism (1973) (38)
Truncated symmetric products and configuration spaces (1993) (36)
OPERATIONS WHICH DETECT Sq4 IN CONNECTIVE K-THEORY AND THEIR APPLICATIONS (1976) (34)
Group representations and the Adams spectral sequence (1972) (34)
THE STABLE DECOMPOSITION FOR THE DOUBLE LOOP SPACE OF A SPHERE (1978) (33)
Symmetric invariants and cohomology of groups (1990) (30)
The Atiyah-Jones conjecture for ruled surfaces. (1995) (30)
Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92) (1980) (30)
What Is Mathematical Proficiency (2007) (28)
The geometry and cohomology of the Mathieu group M12 (1991) (28)
The surgery obstruction groups for finite 2-groups (1980) (28)
Modular Invariant Theory (1994) (27)
Surgery With Coefficients (1974) (27)
On the Chern classes of the regular representations of some finite groups (1982) (26)
Evaluating the Swan finiteness obstruction for periodic groups (1985) (24)
The Bockstein and the Adams spectral sequences (1981) (22)
The structure of deleted symmetric products (1988) (21)
On the Haefliger knot groups (1972) (19)
STABILITY THEOREMS FOR SPACES OF RATIONAL CURVES (1999) (19)
ON THE NORMAL BUNDLE TO AN EMBEDDING (1971) (18)
Embedding Real Projective Spaces (1968) (18)
The homotopy type of rational functions (1993) (17)
On the moduli space of ${\rm SU}(n)$ monopoles and holomorphic maps to flag manifolds (1993) (17)
Invariant theory and H∗(GLn(Fp);Fp) (1987) (17)
Odd index subgroups of units in cyclotomic fields and applications (1981) (16)
The nonimmersion problem for rp and higher-order cohomology operations. (1968) (16)
The L-Theory of Laurent extensions and genus 0 function fields. (1990) (16)
Poincaré Transversality for Double Covers (1978) (16)
On the structure of the inverse kinematics map of a fragment of protein backbone (2008) (15)
The geometry and cohomology of M12: II (1995) (15)
On successive approximations in homological algebra (1970) (14)
The Homotopy Type of Gauge Theoretic Moduli Spaces (1994) (14)
Complete path planning for a planar 2-R manipulator with point obstacles (2004) (13)
The structure over the Steenrod algebra of some 2-stage Postnikov systems (1969) (13)
The universal smooth surgery class (1975) (13)
The cohomology of the Mathieu group M22 (1995) (13)
The structure of odd L-groups (1979) (13)
The cohomology of the Mathieu group M22 (1995) (13)
Algebraic and Geometric Topology, Part 1 (1978) (12)
Toward Complete Path Planning for Planar 3R-Manipulators Among Point Obstacles (2004) (12)
Semicharacteristics, bordism, and free group actions (1989) (12)
The cohomology of the Mathieu group M23 (2000) (12)
Some exact sequences in the theory of Hermitian forms (1980) (12)
New Developments in Topology: On spherical fiber bundles and their PL reductions (1974) (11)
A5‐Invariants, the Cohomology of L3(4) and Related Extensions (1993) (10)
The geometry of the space of holomorphic maps from a Riemann surface to a complex projective space (1997) (10)
Calculations of unstable Adams E2 terms for spheres (1987) (10)
Some remarks on the Kirby-Siebenmann class (1988) (10)
Motion planning for planar n-bar mechanisms with revolute joints (2001) (10)
The cohomology of the Sylow 2-subgroup of the Higman–Sims group (2000) (9)
The Cohomology of the Symmetric Groups (1994) (9)
Surgery with finite fundamental group. II: The oozing conjecture (1991) (8)
An unstable adams spectral sequence (1974) (8)
Free actions on products of spheres: The rational case (1991) (8)
The structure of spaces of Toeplitz matrices (1997) (7)
The Cohomology of the Sporadic GroupsJ2andJ3 (1999) (6)
Skewness of r-fields on spheres (1976) (6)
The Cohomology of the Lyons Group and Double Covers of Alternating Groups (1997) (6)
Secondary cohomology operations and complex vector bundles (1969) (6)
The cohomology rings of rank 3 simple groups are Cohen-Macaulay (1995) (6)
A Response to Some of the Points of: When Academic Disagreement Becomes Harassment and Persecution (2012) (6)
Normal maps, covering spaces, and quadratic functions (1977) (6)
A Close Examination of Jo Boaler's Railside Report (2012) (6)
On spaces of holomorphic maps from two copies of the riemann sphere to complex grassmannians (1992) (6)
Orientations for Poincaré duality spaces and applications (1989) (6)
Some product formulae for nonsimply connected surgery problems (1986) (6)
Embedding projective spaces (1967) (5)
The cohomology of the McLaughlin group and some associated groups (1995) (5)
The cappell-shaneson example (1985) (5)
The classification of Aloff-Wallach manifolds and their generalizations (2000) (5)
Professional Mathematicians Comment on School Mathematics in California (2000) (5)
Surgery with finite fundamental group. I: The obstructions (1991) (5)
Unstable divisibility of the chern character (1971) (4)
The Revenge of K-12: How Common Core and the New SAT Lower College Standards in the U.S. (2014) (4)
Projective Stiefel Manifolds and Skew Linear Vector Fields (1974) (3)
${\text{PL}}$ characteristic classes and cobordism (1971) (3)
Topological characterization of safe coordinated vehicle motions (2000) (3)
The 14-dimensional kervaire invariant and the sporadic group $\mathrm{M}_{12}$ (1997) (2)
Review of Final Draft Core Standards (2013) (2)
On the inverse kinematics of a fragment of protein backbone (2006) (2)
Torsion with rings for orders and finite groups (1978) (2)
The Atiyah-Jones conjecture (1992) (2)
The oriented topological and ${\text{PL}}$ cobordism rings (1974) (2)
Private Data -- The Real Story: A Huge Problem with Education Research (2012) (2)
Homotopy theory and its applications : a conference on algebraic topology in honor of Samuel Gitler, August 9-13, 1993, Cocoyoc, Mexico (1995) (2)
Invariants and Cohomology of Groups (2004) (1)
The surgery group L 3 h (Z(G)) for G a finite 2-group (1979) (1)
Homotopy Theory and Its Applications (1995) (1)
Surgery, BPL, BTOP and the PL bordism rings (1971) (1)
The oriented bordism of topological manifolds and integrality relations (1976) (1)
Further calculations for some truncated projective spaces (1974) (0)
CHAPTER 3. THE SPACES SG AND BSG (1980) (0)
APPENDIX. THE PROOFS OF 13.12, 13.13, AND 13.15 (1980) (0)
CHAPTER 5. THE HOMOTOPY STRUCTURE OF MSPL[½] AND MSTOP[½] (1980) (0)
The Plus Construction and Applications (2004) (0)
CHAPTER 13. THE BOCKSTEIN SPECTRAL SEQUENCE FOR BTOP (1980) (0)
Calculating the groups Open image in new window (1974) (0)
CHAPTER 9. THE TORSION FREE COHOMOLOGY OF G/TOP AND G/PL (1980) (0)
CHAPTER 14. THE TYPES OF TORSION GENERATORS (1980) (0)
Introduction Some Historical Background (1994) (0)
CHAPTER 8 . THE TORSION FREE STRUCTURE OF THE ORIENTED COBORDISM RINGS (1980) (0)
CHAPTER 11. INTEGRALITY THEOREMS (1980) (0)
Group Extensions, Simple Algebras and Cohomology (1994) (0)
Letters from mathematicians R. James Milgram and Wayne Bishop to a parent of the Palo Alto School District, California, 2016-2018 (2020) (0)
The metastable exact sequence (1974) (0)
G-Complexes and Equivariant Cohomology (1994) (0)
Classifying Spaces and Group Cohomology (1994) (0)
Spectral Sequences and Detection Theorems (1994) (0)
THE ORIENTED TOPOLOGICAL AND PL COBORDISM RINGS BY I. MADSEN AND R. J. MILGRAM (2007) (0)
Mediocrity 2.0: Massachusetts Rebrands Common Core ELA & Math. White Paper No. 174. (2017) (0)
CHAPTER 6 . INFINITE LOOP SPACES AND THEIR HOMOLOGY OPERATIONS (1980) (0)
CHAPTER 10. THE TORSION FREE COHOMOLOGY OF BTOP AND BPL (1980) (0)
Secondary cohomology operations have proved very useful in re (2016) (0)
Cohomology of Sporadic Simple Groups (1994) (0)
ON THE ROLE OF GROUPS IN TOPOLOGY AND GEOMETRY (1998) (0)
TIE NONIMMERSION PROBLEM FOR RPn AND HIGHER-ORDER (2016) (0)
CHAPTER 4. THE HOMOTOPY STRUCTURE OF G/PL AND G/TOP (1980) (0)
Sk1 (Z2 [n]) and Surgery. (1990) (0)
The structure of iterated loop spaces in the metastable range (1974) (0)
CHAPTER 7. THE 2-LOCAL STRUCTURE OF B(G/TOP) (1980) (0)
An example for the metastable exact sequence (1974) (0)
The cohomology of the Fn (1974) (0)
Calculations of the stable homotopy of K(π,n)'s (1974) (0)
The map Fn(X) → ΩFn−1(ΣX) (1974) (0)
A ug 2 00 4 Atiyah – Jones conjecture for blown-up surfaces (2004) (0)
The loop space functor for resolutions (1974) (0)
CHAPTER 12. THE SMOOTH SURGERY CLASSES AND H*(BTOP; ℤ/2) (1980) (0)
CHAPTER 1. CLASSIFYING SPACES AND COBORDISM (1980) (0)
The inclusion X→ΩnΣnX (1974) (0)
THE GEOMETRY OF THE SPACE OF HOLOMORPHIC OF MAPS FROM A RIEMANN SURFACE TO A COMPLEX PROJECTIVE SPACE SADOK KALLEL AND R.JAMES MILGRAM (1997) (0)
CHAPTER 2. THE SURGERY CLASSIFICATION OF MANIFOLDS (1980) (0)
Some calculations of the stable homotopy groups for the K(Z,n) (1974) (0)

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What Schools Are Affiliated With R. James Milgram?

R. James Milgram is affiliated with the following schools: