Douglas Ravenel | Academic Influence

Douglas Ravenel's AcademicInfluence.com Rankings

Douglas Ravenel

Mathematics

#720

World Rank

#1311

Historical Rank

#313

USA Rank

Measure Theory

#2500

World Rank

#3004

Historical Rank

#707

USA Rank

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Mathematics

Douglas Ravenel's Degrees

PhD Mathematics Princeton University

Why Is Douglas Ravenel Influential?

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According to Wikipedia, Douglas Conner Ravenel is an American mathematician known for work in algebraic topology. Life Ravenel received his PhD from Brandeis University in 1972 under the direction of Edgar H. Brown, Jr. with a thesis on exotic characteristic classes of spherical fibrations. From 1971 to 1973 he was a C. L. E. Moore instructor at the Massachusetts Institute of Technology, and in 1974/75 he visited the Institute for Advanced Study. He became an assistant professor at Columbia University in 1973 and at the University of Washington in Seattle in 1976, where he was promoted to associate professor in 1978 and professor in 1981. From 1977 to 1979 he was a Sloan Fellow. Since 1988 he has been a professor at the University of Rochester. He was an invited speaker at the International Congress of Mathematicians in Helsinki, 1978, and is an editor of The New York Journal of Mathematics since 1994.

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Douglas Ravenel'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

Complex Cobordism and Stable Homotopy Groups of Spheres (1986) (1032)
Localization with Respect to Certain Periodic Homology Theories (1984) (441)
On the nonexistence of elements of Kervaire invariant one (2009) (385)
Periodic phenomena in the Adams-Novikov spectral sequence (1977) (290)
Nilpotence and Periodicity in Stable Homotopy Theory. (1992) (256)
GENERALIZED GROUP CHARACTERS AND COMPLEX ORIENTED COHOMOLOGY THEORIES (2000) (197)
THE MORAVA K-THEORIES OF EILENBERG-MACLANE SPACES AND THE CONNER-FLOYD CONJECTURE (1980) (168)
The Hopf ring for complex cobordism (1974) (160)
Morava stabilizer algebras and the localization of Novikov’s $E_2$-term (1977) (88)
Periodic Cohomology Theories Defined by Elliptic Curves (2004) (62)
The cohomology of the morava stabilizer algebras (1977) (61)
The non-existence of odd primary Arf invariant elements in stable homotopy (1978) (49)
Morava K-theories of classifying spaces and generalized characters for finite groups (1992) (47)
THE TRIPLE LOOP SPACE APPROACH TO THE TELESCOPE CONJECTURE (2000) (42)
Brown–Peterson Cohomology from Morava K ‐Theory, II (1998) (38)
VII. The Geometric Realization of The Chromatic Resolution (1988) (35)
The root invariant in homotopy theory (1993) (35)
The structure of Morava stabilizer algebras (1976) (35)
The Segal Conjecture for Cyclic Groups and its Consequences (1984) (33)
The slice spectral sequence for the $C_{4}$ analog of real $K$-theory (2015) (33)
The structure of BP*BP modulo an invariant prime ideal (1976) (30)
Adams Memorial Symposium on Algebraic Topology: Progress report on the telescope conjecture (1992) (26)
A Novice's guide to the adams-novikov spectral sequence (1978) (24)
Bipolynomial Hopf algebras (1974) (23)
Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128) (1993) (23)
Life after the Telescope Conjecture (1993) (22)
The Arf-Kervaire problem in algebraic topology: Sketch of the proof (2010) (22)
Suspension spectra are harmonic (1992) (22)
The cohomology of C2-equivariant 𝒜(1) and the homotopy of koC2 (2017) (21)
THE 7-CONNECTED COBORDISM RING AT p = 3 (1995) (20)
EHP sequences in BP theory (1982) (20)
Morava Hopf algebras and spaces K ( n ) equivalent to finite Postnikov systems (1994) (19)
The homology and Morava K-theory of Ω 2 SU(n) (1993) (16)
The Thomified Eilenberg—Moore spectral sequence (2001) (15)
THE SEGAL CONJECTURE FOR CYCLIC GROUPS (1981) (15)
Elliptic cohomology : geometry, applications, and higher chromatic analogues (2007) (14)
Formal A-modules and the Adams-Novikov spectral sequence (1984) (12)
The slice spectral sequence for certain R O(Cpⁿ)-graded suspensions of HZ (2017) (12)
A definition of exotic characteristic classes of spherical fibrations (1972) (12)
The Arf-Kervaire Invariant Problem in Algebraic Topology: Introduction (2010) (11)
Localization and Periodicity in Homotopy Theory (1987) (11)
Toward a Global Understanding of the Homotopy Groups of Spheres (2004) (10)
THE METHOD OF INFINITE DESCENT IN STABLE HOMOTOPY THEORY I January 29, 2001 (2004) (10)
The Adams-Novikov E 2 -Term for a Complex with p Cells (1985) (10)
Spin and statistics of solitons andJ-Homomorphism (1985) (10)
The Hopf Ring for P(n) (1996) (10)
Novikov's ${\text{Ext}}^2$ and the nontriviality of the gamma family (1975) (7)
Mark Mahowald's work on the homotopy groups of spheres (1992) (6)
Toward higher chromatic analogs of elliptic cohomology II (2008) (4)
THE MICROSTABLE ADAMS-NOVIKOV SPECTRAL SEQUENCE (2004) (4)
THE MICROSTABLE ADAMS-NOVIKOV SPECTRAL SEQUENCE (2004) (4)
Homology, Homotopy and Applications (2008) (4)
MULTIPLICATIVE OPERATIONS IN BP*BP (1975) (4)
The Method of Infinite Descent in Stable Homotopy Theory II (2018) (3)
Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem (2021) (3)
KERVAIRE INVARIANT ONE [ after (2010) (3)
A fractal-like algebraic splitting of the classifying space for vector bundles (1988) (3)
What we still don’t know about loop spaces of spheres (2004) (3)
The Arf-Kervaire problem in algebraic topology: an introduction (2009) (3)
The nilpotence and periodicity theorems in stable homotopy theory (1990) (2)
BOUSFIELD LOCALIZATIONS OF CLASSIFYING SPACES OF NILPOTENT GROUPS (1999) (2)
The Slice Spectral Sequence for certain $RO(C_{p^n})$-graded Suspensions of $H\underline{\mathbb Z}$ (2015) (2)
THE SLICE SPECTRAL SEQUENCE FOR RO(Cpn)-GRADED SUSPENSIONS OF HZ I (2014) (2)
Elliptic Cohomology: Toward higher chromatic analogs of elliptic cohomology (2007) (2)
The slice spectral sequence for certain $$RO({C_{p^{n}}} )$$RO(Cpn)-graded suspensions of $$H{\underline{\mathbf{Z}}}$$HZ̲ (2015) (2)
The first cohomology group of the generalized Morava stabilizer algebra (2002) (2)
CHAPTER 9 – The Stable Homotopy Theory of Finite Complexes (1995) (2)
On β‐elements in the Adams–Novikov spectral sequence (2009) (2)
Homotopy theory and its applications : a conference on algebraic topology in honor of Samuel Gitler, August 9-13, 1993, Cocoyoc, Mexico (1995) (2)
BrownPeterson Cohomology from Morava K-Theory (1999) (2)
A note on the thick subcategory theorem (1996) (2)
The connective Morava K-theory of the second mod p Eilenberg-MacLane space (2022) (1)
ON THE GENERALIZED NOVIKOV FIRST EXT GROUP MODULO A PRIME (2002) (1)
Algebraic topology : proceedings of an International Conference held in Arcata, California, July 27-August 2, 1986 (1989) (1)
Homotopy Theory and Its Applications (1995) (1)
The Chromatic Ext Groups \Ext_{Γ(+1)}⁰(_{*},₂¹) (2002) (1)
THE SLICE SPECTRAL SEQUENCE OF MACKEY FUNCTORS FOR THE C 4 ANALOG OF REAL K-THEORY (2014) (1)
On the nilpotence order of β1 (1994) (1)
THE FIRST ADAMS-NOVIKOV DIFFERENTIAL FOR THE SPECTRUM T (m) (2008) (1)
Kervaire Invariant One Following (2010) (0)
A Wildly Popular Dance Craze (0)
Morava stabilizer algebras (2003) (0)
Formal group laws (2003) (0)
LOCALIZATIONS OF CLASSIFYING SPACES OF NILPOTENT GROUPS (1997) (0)
Complex cobordism theory for number theorists (1988) (0)
Quillen's work on formal group laws and complex cobordism theory (2013) (0)
HECKE OPERATORS AS OPERATIONS IN ELLIPTIC COHOMOLOGY yAndrew (1991) (0)
A Software Driven Undergraduate Fractal Course (2004) (0)
Lecture 1: History and Background of the Problem 1 Background and History 1.1 Our Main Result (0)
Charles Thomas, 1938–2005 (2007) (0)
On the Holomorph of a Discrete Group Curriculum Vitae and Naomi Jochnowitz for Their Excellent Courses in Topology and Algebra. Finally, I Thank My Friends (2004) (0)
Hopf algebras and Hopf algebroids (2003) (0)
Chapter 6. The periodicity theorem (1993) (0)
Chapter 7. Bousfield localization and equivalence (1993) (0)
-theory and the Adams-Novikov spectral sequence (2003) (0)
A possible hierarchy of Morava K-theories (2007) (0)
Tables of homotopy groups of spheres (2003) (0)
Computing stable homotopy groups with the Adams-Novikov spectral sequence (2003) (0)
Appendix A. Some tools from homotopy theory (1993) (0)
Book Review: Manifolds with singularities and the Adams-Novikov spectral sequence (1993) (0)
Elliptic Cohomology: Preface (2007) (0)
An introduction to the homotopy groups of spheres (2003) (0)
Chapter 9. The proof of the nilpotence theorem (1993) (0)
Chapter 3. MU-theory and formal group laws (1993) (0)
The homological slice spectral sequence in motivic and Real bordism (2023) (0)
An Overview of the Proof (2019) (0)
The Detection Theorem (0)
Algebraic topology : proceedings of a workshop held at the University of Washington, Seattle, 1985 (1987) (0)
Chapter 2. Homotopy groups and the chromatic filtration (1993) (0)
The Chromatic Ext Groups Ext (2002) (0)
Chapter 1. The main theorems (1993) (0)
Chapter 5. The thick subcategory theorem (1993) (0)
Chapter 4. Morava’s orbit picture and Morava stabilizer groups (1993) (0)
Appendix B. Complex bordism and BP-theory (1993) (0)
Appendix C. Some idempotents associated with the symmetric group (1993) (0)
THE HOMOTOPY OF EO2(p−1) (2008) (0)
Chapter 8. The proofs of the localization, smash product and chromatic convergence theorems (1993) (0)
Lecture 2: Formal Groups Laws and the Hopkins-miller Theorem (0)
Setting up the Adams spectral sequence (2003) (0)
Remembering Mark Mahowald 1931–2013 (2016) (0)
K and L-theory (1989) (0)
Suspension Spectra are Harmonic In memory of (2004) (0)
Lecture 4: the Slice Spectral Sequence and the Gap Theorem (0)
THE SEGAL CONJECTURE FOR CYCLIC (2006) (0)
THE CONNECTIVE MORAVA K -THEORY OF THE EILENBERG-MACLANE SPACE K ( Z p , 2) (2022) (0)
The chromatic spectral sequence (2003) (0)
AN APPLICATION OF THE THOMIFIED EILENBERG-MOORE SPECTRAL SEQUENCE TO THE SPECTRA T (n) (0)
The classical Adams spectral sequence (2003) (0)

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