Mark Mahowald

Q: What Schools Are Affiliated With Mark Mahowald

Mark Mahowald is affiliated with the following schools: Northwestern University , University of Minnesota, Northwestern University, Syracuse University, University of Chicago

Mark Mahowald's AcademicInfluence.com Rankings

Mark Mahowald

Mathematics

#2832

World Rank

#4290

Historical Rank

#1095

USA Rank

Measure Theory

#2900

World Rank

#3447

Historical Rank

#837

USA Rank

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Mathematics

Mark Mahowald's Degrees

PhD Mathematics University of Chicago

Why Is Mark Mahowald Influential?

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According to Wikipedia, Mark Edward Mahowald was an American mathematician known for work in algebraic topology. Life Mahowald was born in Albany, Minnesota in 1931. He received his Ph.D. from the University of Minnesota in 1955 under the direction of Bernard Russell Gelbaum with a thesis on Measure in Groups. In the sixties, he became professor at Syracuse University and around 1963 he went to Northwestern University in Evanston, Illinois.

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Mark Mahowald'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

A new infinite family in 2π∗S☆ (1977) (153)
The Goodwillie tower of the identity functor and the unstable periodic homotopy of spheres (1999) (120)
A resolution of the K(2)-local sphere at the prime 3 (2005) (112)
The metastable homotopy of ⁿ (1967) (109)
Some differentials in the Adams spectral sequence (1967) (100)
Construction of elements in Picard groups (1992) (79)
RELATIONS AMONGST TODA BRACKETS AND THE KERVAIRE INVARIANT IN DIMENSION 62 (1984) (77)
Topological Modular Forms of Level 3 (2008) (75)
Calculation of Lin's Ext groups (1980) (74)
v1- AND V2-PERIODICITY IN STABLE HOMOTOPY THEORY (1981) (70)
FROM ELLIPTIC CURVES TO HOMOTOPY THEORY (1998) (70)
The order of the image of the $J$-homomorphism (1970) (52)
Geometric Applications of Homotopy Theory II (1978) (51)
The metastable homotopy of $O\left( n \right)$ (1964) (46)
THE TRIPLE LOOP SPACE APPROACH TO THE TELESCOPE CONJECTURE (2000) (42)
On Hopkins’ Picard groups for the prime 3 and chromatic level 2 (2012) (39)
Some homotopy groups of Stiefel manifolds (1965) (35)
The root invariant in homotopy theory (1993) (35)
OPERATIONS WHICH DETECT Sq4 IN CONNECTIVE K-THEORY AND THEIR APPLICATIONS (1976) (34)
The stable geometric dimension of vector bundles over real projective spaces (1981) (34)
THE STABLE DECOMPOSITION FOR THE DOUBLE LOOP SPACE OF A SPHERE (1978) (33)
Secondary cohomology operations on the Thom class (1963) (30)
On the metastable homotopy of () (1968) (29)
The Homotopy of L 2 V (1) for the Prime 3 (2003) (28)
On the existence of a $v^{32}_2$-self map on $M(1,4)$ at the prime 2 (2007) (27)
The kervaire invariant and the Hopf invariant (1987) (27)
Some remarks on υ1 -periodic homotopy groups (1992) (27)
The K-theory localization of an unstable sphere (1992) (26)
The homotopy of the K(2)-local Moore spectrum at the prime 3 revisited (2008) (26)
Measures on Completely Regular Spaces (1962) (26)
Homotopy Theory Via Algebraic Geometry and Group Representations: Proceedings of a Conference on Homotopy Theory, March 23-27, 1997, Northwestern University (1998) (24)
Some whitehead products in Sn (1965) (24)
The spectrum (P ⋀ bo) −∞ (1984) (24)
Barrelled Spaces and the Closed Graph Theorem (1961) (23)
The image of the stable J-homomorphism (1989) (22)
On the embeddability of the real projective spaces (1962) (21)
The rational homotopy of the $K(2)$-local sphere and the chromatic splitting conjecture for the prime 3 and level 2 (2012) (20)
Some generalized Brown-Gitler spectra (1986) (20)
Periodic Phenomena in the Classical Adams Spectral Sequence (1987) (19)
Embedding Real Projective Spaces (1968) (18)
The immersion of manifolds (1967) (18)
On the double suspension homomorphism (1975) (18)
On the measurability of functions in two variables (1962) (17)
The Kervaire invariant of immersions (1985) (16)
The nonimmersion problem for rp and higher-order cohomology operations. (1968) (16)
A note on the Thom isomorphism (1981) (16)
On the order of the image of J (1967) (15)
The SO(n)-of-origin (1989) (15)
Root Invariants and Periodicity in Stable Homotopy Theory (1988) (15)
The geometric dimension of some vector bundles over projective spaces (1975) (15)
The Thomified Eilenberg—Moore spectral sequence (2001) (15)
Three contributions to the homotopy theory of the exceptional Lie groups $G_{2}$ and $F_{4}$ (1991) (15)
On the periodic v2–self-map of A1 (2014) (14)
The Adams spectral sequence of the real projective spaces. (1988) (14)
Formal completion of the Jacobians of plane curves and higher real K-theories (2000) (13)
TWO RESULTS ON THE 2 -LOCAL EHP SPECTRAL SEQUENCE (1995) (13)
Immersions of Complex Projective Spaces and the Generalized Vector Field Problem (1977) (12)
v1-Periodicity in the unstable adams spectral sequence (1990) (12)
Classification of the stable homotopy types of stunted real projective spaces (1986) (12)
NONIMMERSIONS OF REAL PROJECTIVE SPACES IMPLIED BY eo2 (12)
A commentary on the “Image of J in the EHP sequence” (1987) (12)
The 2-primary Hurewicz image of tmf. (2020) (11)
$v_1$-periodic homotopy groups of ${\rm Sp}(n)$. (1995) (11)
Detecting exotic spheres in low dimensions using coker J (2017) (11)
V. Homotopy Groups of Some Mapping Telescopes (1988) (11)
Integral Brown-Gitler spectra (1988) (11)
Toward a Global Understanding of the Homotopy Groups of Spheres (2004) (10)
Calculations of unstable Adams E2 terms for spheres (1987) (10)
Unstable compositions related to the image of $J$ (1988) (9)
The immersion conjecture for ^{8+7} is false (1978) (9)
Some homotopy classes generated by η j (1979) (9)
Connective Versions of TMF(3) (2010) (8)
The homotopy of the $$K(2)$$K(2)-local Moore spectrum at the prime $$3$$3 revisited (2008) (8)
The Spectrum (P ?BP ) -8 (1986) (8)
THE NONREALIZABILITY OF THE QUOTIENT A//A2 OF THE STEENROD ALGEBRA (1982) (8)
υ1-Localizations of finite torsion spectra and spherically resolved spaces (1993) (8)
THE FIBER OF THE SECONDARY SUSPENSION MAP (1994) (8)
A Direct Summand in H ∗ (MO 〈8 〉, Z 2 ) (1980) (7)
Stable and unstable homotopy (1998) (7)
A Short Proof of the James Periodicity of π k+p (V k+m,m ) (1965) (6)
The KO*-rings of BT^m, the Davis-Januszkiewicz Spaces and certain toric manifolds (2010) (6)
Secondary cohomology operations and complex vector bundles (1969) (6)
Topology and Representation Theory (1994) (6)
A direct summand in *(⟨8⟩,₂) (1980) (6)
Nonimmersions of $RP^n$ implied by tmf, revisited (2007) (5)
CORRECTION TO "THE STABLE GEOMETRIC DIMENSION OF VECTOR BUNDLES OVER REAL PROJECTIVE SPACES" (1983) (5)
v 1 -Periodic EXT Over the Steenrod Algebra (1988) (5)
On the measurability of stochastic processes (1964) (5)
Infinite subgroups of the Morava stabilizer groups (1998) (5)
A generalization of the lambda algebra (1986) (5)
Embedding projective spaces (1967) (5)
Quasi-barrelled locally convex spaces (1960) (5)
A new spectrum related to 7-connected cobordism (1989) (4)
v1-periodic homotopy of Sp(2), Sp(3), and S2n (1990) (4)
The spectrum (∧⟨2⟩)_{-∞} (1986) (4)
The construction of small ring spectra (1978) (4)
CHAPTER 10 – The EHP Sequence and Periodic Homotopy (1995) (4)
periodic over the Steenrod algebra (1988) (4)
The primaryv2-periodic family (1981) (4)
On embedding manifolds which are bundles over spheres (1964) (4)
The Orientability of Vector Bundles with Respect to Certain Spectra (1979) (4)
Thom complexes and the spectra bo and bu (1987) (4)
A short proof of the James periodicity of $\pi \sb{k+p}(V\sb{k+m,m})$ (1965) (3)
The odd primary obstructions to finding a section in a _{} bundle are zero (1968) (3)
A strong nonimmersion theorem for ${\mathbf{R}}P^{8l+7}$ (1975) (3)
Barrelled spaces and the open mapping theorem (1962) (3)
Obstruction theory and K-theory (1978) (3)
ON CUP-ONE AND TODA BRACKET (1993) (2)
Stiefel-Whitney classes in *⟨()⟩ (1981) (2)
A summability theorem in countable toral groups (1958) (2)
Stiefel-Whitney Classes in H ∗ BO〈φ(r)〉 (1981) (2)
A nondesuspension theorem for stunted real projective spaces (1978) (2)
ΩSU (3) splits after four suspensions, but not two (1991) (2)
From Elliptic Curves to Homotopy Theory a Preliminary Report (1)
THE METASTABLE HOMOTOPY OF 0(n) (2007) (1)
On the Hurewicz image of the cokernel (2007) (1)
Geometric applications of homotopy theory : proceedings, Evanston, March 21-26, 1977 (1978) (1)
Algebraic topology : proceedings of the international conference held March 21-24, 1988 (1989) (1)
The splitting of ω2 S 2n+1 (1987) (0)
VI. Mapping Telescopes and K*-Localization (1988) (0)
A direct summand in $H\sp{\ast} (M{\rm O}\langle 8\rangle ,\,Z\sb{2})$ (1980) (0)
Immersions of RP2e−1 (2007) (0)
THEOREM. If p <k-I and m<k, then Wk?p( Vk+m,m) is periodic in k (2016) (0)
Immersions not Regularly Homotopic to Embeddings (1987) (0)
On immersions of $k$-connected $n$-manifolds (1993) (0)
THE IMMERSION CONJECTURE FOR RF 8 / + 7 IS FALSE 1 BY (2010) (0)
Vector bundles on loop spaces of spheres (1991) (0)
Measure preserving functions on locally compact spaces (1962) (0)
ui-PERIODIC EXT OVER THE STEENROD ALGEBRA (2010) (0)
ON OBSTRUCTION THEORY IN ORIENTABLE (2010) (0)
TIE NONIMMERSION PROBLEM FOR RPn AND HIGHER-ORDER (2016) (0)
A Filtration of Unoriented Cobordism (2011) (0)
Topology and representation theory : Conference on the Connections between Topology and Representation Theory, May 1-5, 1992, Northwestern University (1994) (0)
The spectrum $(P\wedge{\rm BP}\langle 2\rangle)\sb {-\infty}$ (1986) (0)
The Kervaire invariant in homotopy theory (2010) (0)
Problems for Solution: 5051-5057 (1962) (0)
ON OBSTRUCTION THEORY IN ORIENTABLE FIBER BUNDLESO (2010) (0)
Secondary cohomology operations have proved very useful in re (2016) (0)

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What Schools Are Affiliated With Mark Mahowald?

Mark Mahowald is affiliated with the following schools:

Mark Mahowald's Academic­Influence.com Rankings