|
|
| Line 1: |
Line 1: |
| {{BLP sources|date=February 2013}}
| | Hello, I'm Tamara, a 27 year old from Walwick, Great Britain.<br>My hobbies include (but are not limited to) Gymnastics, Ice hockey and watching Arrested Development.<br><br>Check out my web site - [http://demo.wpmlm.com/activity/p/446378/ Biking for modern life mountain bike sizing.] |
| {{ Infobox scientist
| |
| | name = Mark Mahowald
| |
| | image = <!--(filename only)-->
| |
| | image_size =
| |
| | caption =
| |
| | birth_date = {{Birth date|1931|12|1}}
| |
| | birth_place = [[Albany, Minnesota]]
| |
| | death_date ={{Dda|2013|7|20|1931|12|1}}
| |
| | death_place = Illinois, United States
| |
| | nationality = {{flag|United States}}
| |
| | fields = [[Mathematics]]
| |
| | workplaces = [[Northwestern University]]
| |
| | alma_mater = [[University of Minnesota]]
| |
| | doctoral_advisor = [[Bernard Russell Gelbaum]]
| |
| | doctoral_students = [[Michael J. Hopkins]]
| |
| Martin Tangora
| |
| | known_for = [[Homotopy groups of spheres]]
| |
| | awards =
| |
| }}
| |
| '''Mark Edward Mahowald''' (December 1, 1931 – July 20, 2013) was an [[United States|American]] [[mathematician]] known for work in [[algebraic topology]].<ref>{{cite web|url=http://www.legacy.com/obituaries/chicagotribune/obituary.aspx?n=mark-edward-mahowald&pid=165996488&fhid=2074#fbLoggedOut |title=MARK EDWARD MAHOWALD Obituary: View MARK MAHOWALD's Obituary by Chicago Tribune |publisher=Legacy.com |date=2013-07-20 |accessdate=2013-07-24}}</ref>
| |
| | |
| ==Life==
| |
| Mahowald was born in Albany, Minnesota in 1931.<ref>http://books.google.ca/books?id=allYAAAAMAAJ&q=%22Mahowald,+Mark+edward%22+1931&dq=%22Mahowald,+Mark+edward%22+1931&hl=en&sa=X&ei=ue7xUYzAL6PfiAK5qoGYDg&ved=0CDcQ6AEwAg</ref> He received his Ph.D. from [[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 Chicago.
| |
| | |
| ==Work==
| |
| Much of Mahowald's most important works concerns the [[homotopy groups of spheres]], especially using the [[Adams spectral sequence]] at the prime 2. He is known for constructing one of the first known infinite families of elements in the stable homotopy groups of spheres by showing that the classes <math>h_1h_j</math> survive the Adams spectral sequence for <math>j\geq 3</math>. In addition, he made extensive computations of the structure of the Adams spectral sequence and the 2-primary stable homotopy groups of spheres up to dimension 64 together with Barratt, Tangora and Kochman. Using these computations, he could show that a manifold of [[Kervaire invariant]] 1 exists in dimension 62.
| |
| | |
| In addition, he contributed to the chromatic picture of the homotopy groups of spheres: His earlier work contains much on the image of the [[J-homomorphism]] and recent work together with Goerss, Henn, Karamanov and Rezk does computations in stable homotopy localized at the [[Morava K-theory]] K(2).
| |
| | |
| Besides the work on the homotopy groups of spheres and related spaces, he did important work on [[Thom spectrum|Thom spectra]]. This work was used heavily in the proof of the [[nilpotence theorem]] by Devinatz, [[Michael J. Hopkins|Hopkins]] and Smith.
| |
| | |
| ==Awards and honors==
| |
| In 2012 he became a fellow of the [[American Mathematical Society]].<ref>[http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2013-02-02.</ref>
| |
| | |
| ==Selected publications==
| |
| *M. E. Mahowald and M. C. Tangora, ''Some differentials in the Adams spectral sequence'', Topology 6 (1967) 349–369.
| |
| *M. G. Barratt, M. E. Mahowald and M. C. Tangora, ''Some differentials in the Adams spectral sequence II'', Topology 9 (1970) 309–316.
| |
| *S.O. Kochman and M. E. Mahowald, ''On the computation of stable stems'' in ''The Cech centennial: a Conference on Homotopy Theory, June 22–26, 1993''
| |
| * M. E. Mahowald,'' A new infinite family in <math>_2\pi_*^S</math>'', Topology 16 (1977) 249–256.
| |
| *P. Goerss, H-W. Henn, H.W., M. E. Mahowald and C. Rezk, ''A resolution of the K (2)-local sphere at the prime 3'', Annals of Mathematics 162 (2005), 777–822.
| |
| | |
| ==References==
| |
| {{reflist}}
| |
| | |
| == External links ==
| |
| *[http://www.math.northwestern.edu/people/emeritiProfiles/mark.mahowald.html Homepage at the Northwestern University]
| |
| *[http://www.math.rochester.edu/u/faculty/doug/mypapers/mahowalds-groups.pdf Miller, Ravenel about Mahowald's work on the homotopy groups of spheres, pdf file] (294 kB)
| |
| | |
| {{Authority control|VIAF=110574649}}
| |
| | |
| {{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
| |
| | NAME = Mahowald, Mark
| |
| | ALTERNATIVE NAMES =
| |
| | SHORT DESCRIPTION = American mathematician
| |
| | DATE OF BIRTH = 1931
| |
| | PLACE OF BIRTH =
| |
| | DATE OF DEATH = July 20, 2013
| |
| | PLACE OF DEATH =
| |
| }}
| |
| {{DEFAULTSORT:Mahowald, Mark}}
| |
| [[Category:1931 births]]
| |
| [[Category:American mathematicians]]
| |
| [[Category:University of Minnesota alumni]]
| |
| [[Category:Northwestern University faculty]]
| |
| [[Category:Fellows of the American Mathematical Society]]
| |
| [[Category:2013 deaths]]
| |
Hello, I'm Tamara, a 27 year old from Walwick, Great Britain.
My hobbies include (but are not limited to) Gymnastics, Ice hockey and watching Arrested Development.
Check out my web site - Biking for modern life mountain bike sizing.