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'''Donald M. Davis''' (born 7 May 1945) is an [[United States of America|American]] [[mathematician]] specializing in [[algebraic topology]].
'''Donald M. Davis''' (born 7 May 1945) is an [[United States of America|American]] [[mathematician]] specializing in [[algebraic topology]].


Davis received a B.S. from [[MIT]] in 1967 and a PhD in mathematics at [[ Stanford]] in 1972, directed by [[R. James Milgram]].<ref>{{MathGenealogy|id=3144|title=Donald M. Davis}}</ref> After postdoctoral positions at [[University of California, San Diego]] and [[Northwestern University]], he began a 50-year career at [[Lehigh University]] in 1974. In 2012 he was named an inaugural Fellow of the [[American Mathematical Society]].<ref>{{cite web|url=https://www.ams.org/profession/fellows-list |title=List of Fellows of the American Mathematical Society|publisher=American Mathematical Society|access-date=2013-06-09}}</ref>
Davis received a B.S. from [[MIT]] in 1967 and a PhD in mathematics at [[Stanford]] in 1972, directed by [[R. James Milgram]].<ref>{{MathGenealogy|id=3144|title=Donald M. Davis}}</ref> After postdoctoral positions at [[University of California, San Diego]] and [[Northwestern University]], he began a 50-year career at [[Lehigh University]] in 1974. In 2012 he was named an inaugural Fellow of the [[American Mathematical Society]].<ref>{{cite web|url=https://www.ams.org/profession/fellows-list |title=List of Fellows of the American Mathematical Society|publisher=American Mathematical Society|access-date=2013-06-09}}</ref>
<ref>{{cite web
.<ref>{{cite web
| url = https://www.ams.org/profession/ams-fellows/rnoti-p631.pdf
| url = https://www.ams.org/profession/ams-fellows/rnoti-p631.pdf
| title = Fellows of the AMS: Inaugural Class
| title = Fellows of the AMS: Inaugural Class
Line 25: Line 25:
| publisher = AMS
| publisher = AMS
| series = Notices of the AMS
| series = Notices of the AMS
}}</ref>. Since 2002, he has been Executive Editor of [[Homology, Homotopy and Applications]].<ref>{{cite web
}}</ref> Since 2002, he has been Executive Editor of ''[[Homology, Homotopy and Applications]]''.<ref>{{cite web
| url = https://www.intlpress.com/site/pub/pages/journals/items/hha/_home/editorial/index.php
| url = https://www.intlpress.com/site/pub/pages/journals/items/hha/_home/editorial/index.php
| title = Editors of Homology, Homotopy and Applications
| title = Editors of Homology, Homotopy and Applications
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Davis has published in [[algebraic topology]], [[differential topology]], [[topological complexity|topological robotics]], and [[combinatorial number theory]].<ref>{{cite web| url = https://mathscinet.ams.org/mathscinet/publications-search?query=auid%3A55085 | title = Donald M. Davis publications | publisher = MathSciNet}}
Davis has published in [[algebraic topology]], [[differential topology]], [[topological complexity|topological robotics]], and [[combinatorial number theory]].<ref>{{cite web| url = https://mathscinet.ams.org/mathscinet/publications-search?query=auid%3A55085 | title = Donald M. Davis publications | publisher = MathSciNet}}


</ref> He is an expert on [[immersion (mathematics)|immersions]] of [[projective spaces]], and maintains a website<ref>{{cite web | title = Immersions of projective spaces | url =https://www.lehigh.edu/~dmd1/imms.html | publisher = at Don Davis's website}}</ref> with all known results for [[real projective space|real projective spaces]]. He computed the <math>v_1</math>-periodic homotopy groups of all [[simple Lie group|compact simple Lie groups]].<ref>{{cite journal | last1= Davis | first1= Donald M. | date= 2003 |title = Representation types and 2-primary homotopy groups of certain compact Lie groups |url= |journal= Homology, Homotopy and Applications | volume = 5 | issue = 1 | pages = 297–324 | doi = 10.4310/HHA.2003.v5.n1.a13 }}</ref>
</ref> He is an expert on [[immersion (mathematics)|immersions]] of [[projective spaces]], and maintains a website<ref>{{cite web | title = Immersions of projective spaces | url =https://www.lehigh.edu/~dmd1/imms.html | publisher = at Don Davis's website}}</ref> with all known results for [[real projective space]]s. He computed the <math>v_1</math>-periodic homotopy groups of all [[simple Lie group|compact simple Lie groups]].<ref>{{cite journal | last1= Davis | first1= Donald M. | date= 2003 |title = Representation types and 2-primary homotopy groups of certain compact Lie groups |url= |journal= Homology, Homotopy and Applications | volume = 5 | issue = 1 | pages = 297–324 | doi = 10.4310/HHA.2003.v5.n1.a13 }}</ref>


==Coaching==
==Coaching==


In 1993 Davis started the Lehigh Valley Math Team. In 2005, 2009, 2010, and 2011, they were [[American Regions Math League#Past team winners | national champions in the American Regions Math League (ARML)]]. They have finished second or third in ARML seven other times.<ref>{{cite web | title=ARML Final Results | url=https://www.arml.com/ARML/arml_2019/page/index.php?page_type=public&page=3 | publisher=The Official American Regions Mathematics League Web Page}}</ref> They won the Harvard/MIT Math Tournament ([[HMMT]]} in 2023 and 2024, and the Princeton University Math Competition (PUMaC) in 2009, 2010, 2012, and 2023<ref>{{cite web | url=https://jason-shi-f9dm.squarespace.com/archives | title = PUMaC Problem and Result Archive | publisher = PUMaC}}</ref>.
In 1993 Davis started the Lehigh Valley Math Team. In 2005, 2009, 2010, and 2011, they were [[American Regions Math League#Past team winners|national champions in the American Regions Math League (ARML)]]. They have finished second or third in ARML seven other times.<ref>{{cite web | title=ARML Final Results | url=https://www.arml.com/ARML/arml_2019/page/index.php?page_type=public&page=3 | publisher=The Official American Regions Mathematics League Web Page}}</ref> They won the Harvard/MIT Math Tournament ([[HMMT]]) in 2023 and 2024, and the Princeton University Math Competition (PUMaC) in 2009, 2010, 2012, and 2023.<ref>{{cite web | url=https://jason-shi-f9dm.squarespace.com/archives | title = PUMaC Problem and Result Archive | publisher = PUMaC}}</ref>


==Running==
==Running==


From 1977 through 2009, Davis competed in marathon and ultramarathon races. He was the overall winner of ultramarathon races of 31 to 78 miles in the 1970's, 1980's, 1990's, and 2000's.<ref>{{cite web | url=https://www.arrs.run/TR_WSpanUM.htm | title = Longest Time Spans Between First and Last Ultramarathon Wins | publisher = Association of Road Racing Statisticians}}</ref>
From 1977 through 2009, Davis competed in marathon and ultramarathon races. He was the overall winner of ultramarathon races of 31 to 78 miles in the 1970s, 1980s, 1990s, and 2000s.<ref>{{cite web | url=https://www.arrs.run/TR_WSpanUM.htm | title = Longest Time Spans Between First and Last Ultramarathon Wins | publisher = Association of Road Racing Statisticians}}</ref>


==Selected publications==
==Selected publications==
Line 51: Line 51:
publisher= Dover Publication |isbn=0-486-43896-1}}<ref>This book was originally published by Princeton University Press in 1993.</ref>
publisher= Dover Publication |isbn=0-486-43896-1}}<ref>This book was originally published by Princeton University Press in 1993.</ref>


* {{cite journal | last1= Davis | first1= Donald M. | title = A strong nonimmersion theorem for real projective spaces | journal= Annals of Math | series = 2 | volume = 120 | year = 1984 | pages = 517-528 }}
* {{cite journal | last1= Davis | first1= Donald M. | title = A strong nonimmersion theorem for real projective spaces | journal= Annals of Mathematics | series = 2 | volume = 120 | year = 1984 | pages = 517–528 | doi= 10.2307/1971086 | jstor= 1971086 }}

* {{cite journal | last1= Davis | first1= Donald M. | title = From Representation Theory to Homotopy Groups | journal= Memoirs Amer Math Soc | volume = 759 | year = 2002 }}
* {{cite journal | last1= Davis | first1= Donald M. | title = From Representation Theory to Homotopy Groups | journal= Memoirs Amer Math Soc | volume = 759 | year = 2002 }}


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==External links==
==External links==
* {{official webpage|url=http://lehigh.edu/~dmd1/|name=Donald Davis's homepage}} at Lehigh University
* {{official website|url=http://lehigh.edu/~dmd1/|name=Donald Davis's homepage}} at Lehigh University


{{Authority control}}
{{Authority control}}
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[[Category:Fellows of the American Mathematical Society]]
[[Category:Fellows of the American Mathematical Society]]
[[Category:American topologists]]
[[Category:American topologists]]
[[Category:Massachusetts Institute of Technology alumni]]
[[Category:Stanford University alumni]]
[[Category:Mathematicians from Kentucky]]

Latest revision as of 02:00, 9 May 2024

For other persons, see Donald Davis (disambiguation).
Donald Davis
Don Davis at ARML contest, June 2022
Born(1945-05-07)7 May 1945
Fort Knox, Kentucky
NationalityAmerican
Alma materMIT
Stanford University
Scientific career
FieldsMathematics
InstitutionsLehigh University
Doctoral advisorR. James Milgram

Donald M. Davis (born 7 May 1945) is an American mathematician specializing in algebraic topology.

Davis received a B.S. from MIT in 1967 and a PhD in mathematics at Stanford in 1972, directed by R. James Milgram.[1] After postdoctoral positions at University of California, San Diego and Northwestern University, he began a 50-year career at Lehigh University in 1974. In 2012 he was named an inaugural Fellow of the American Mathematical Society.[2] .[3] Since 2002, he has been Executive Editor of Homology, Homotopy and Applications.[4]

Research[edit]

Davis has published in algebraic topology, differential topology, topological robotics, and combinatorial number theory.[5] He is an expert on immersions of projective spaces, and maintains a website[6] with all known results for real projective spaces. He computed the -periodic homotopy groups of all compact simple Lie groups.[7]

Coaching[edit]

In 1993 Davis started the Lehigh Valley Math Team. In 2005, 2009, 2010, and 2011, they were national champions in the American Regions Math League (ARML). They have finished second or third in ARML seven other times.[8] They won the Harvard/MIT Math Tournament (HMMT) in 2023 and 2024, and the Princeton University Math Competition (PUMaC) in 2009, 2010, 2012, and 2023.[9]

Running[edit]

From 1977 through 2009, Davis competed in marathon and ultramarathon races. He was the overall winner of ultramarathon races of 31 to 78 miles in the 1970s, 1980s, 1990s, and 2000s.[10]

Selected publications[edit]

  • Davis, Donald M. (2004). The Nature and Power of Mathematics. Dover Publication. ISBN 0-486-43896-1.[11]
  • Davis, Donald M. (1984). "A strong nonimmersion theorem for real projective spaces". Annals of Mathematics. 2. 120: 517–528. doi:10.2307/1971086. JSTOR 1971086.
  • Davis, Donald M. (2002). "From Representation Theory to Homotopy Groups". Memoirs Amer Math Soc. 759.

Notes[edit]

  1. ^ Donald M. Davis at the Mathematics Genealogy Project
  2. ^ "List of Fellows of the American Mathematical Society". American Mathematical Society. Retrieved 2013-06-09.
  3. ^ "Fellows of the AMS: Inaugural Class" (PDF). Notices of the AMS. AMS. May 2013.
  4. ^ "Editors of Homology, Homotopy and Applications". International Press. 2024-04-22.
  5. ^ "Donald M. Davis publications". MathSciNet.
  6. ^ "Immersions of projective spaces". at Don Davis's website.
  7. ^ Davis, Donald M. (2003). "Representation types and 2-primary homotopy groups of certain compact Lie groups". Homology, Homotopy and Applications. 5 (1): 297–324. doi:10.4310/HHA.2003.v5.n1.a13.
  8. ^ "ARML Final Results". The Official American Regions Mathematics League Web Page.
  9. ^ "PUMaC Problem and Result Archive". PUMaC.
  10. ^ "Longest Time Spans Between First and Last Ultramarathon Wins". Association of Road Racing Statisticians.
  11. ^ This book was originally published by Princeton University Press in 1993.

External links[edit]

source: https://en.wikipedia.org/w/index.php?title=Donald_M._Davis_(mathematician)&diff=1222970495&oldid=1220629050

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