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'''Donald Davis''' is an [[United States of America|American]] [[mathematician]] and Professor of Mathematics at [[Lehigh University]]. He is known for contributions to [[algebraic topology]], [[immersion_(mathematics)|immersions]] of [[real_projective_space|real projective spaces]], and [[topological complexity]].
'''Donald M. Davis''' (born 7 May 1945) is an [[United States of America|American]] [[mathematician]] specializing in [[algebraic topology]].


==Biography==
Davis studied at the [[Massachusetts Institute of Technology]] and [[Stanford University]], and received his Ph.D. from Stanford in 1972, under the supervision of [[R. James Milgram]]. In 2012 he became a fellow of the [[American Mathematical Society]].<ref>[https://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2013-02-10.</ref> He taught at [[Lehigh University]] for fifty years until his retirement in 2024.<ref>{{mathgenealogy|id=3144|name=Donald M. Davis}}.</ref>
⚫
<ref>[https://www.lehigh.edu/~dmd1/vitapub17.html Bio from Davis's web site].</ref>


Davis received a B.S. from [[MIT]] in 1967 and a PhD in mathematics at [[ Stanford]] in 1972, directed by [[R. James Milgram]]. 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>[https://www.ams.org/profession/ams-fellows/rnoti-p631.pdf
Davis is the founder and coach of the Lehigh Valley [[American Regions Math League]] team, one of the best high school mathematics teams in the nation. Lehigh Valley teams won the National Championship in 2005 and 2009, 2010, and 2011, finished second in 2007, 2012, 2022, and 2023, and third in 2006, 2018, and 2021. They have also been winners of 2023 and 2024 Harvard/MIT Math contest ([[HMMT]]) and the Princeton University Mathematics Competition (PUMaC) in 2009, 2010, 2012, 2023.<ref name="arml2022">{{cite web |title=ARML 2022 Final Results |url=https://www.arml.com/ARML/arml_2019/page/index.php?page_type=public&page=home |website=www.arml.com |publisher=The Official American Regions Mathematics League Web Page |access-date=8 January 2023 |date=6 June 2022}}</ref>
], retrieved 2013-02-10.</ref>. Since 2002, he has been Executive Editor of [[Homology, Homotopy and Applications]].


⚫
==Research==
Donald Davis is also an avid and accomplished ultrarunner logging a total of 91,986 miles over 43 years of running. He is frequently cited as the greatest mathematician-runner-coach in the history of the world. {{Citation needed}}


Davis has published in [[algebraic topology]], [[differential topology]], topological robotics, and [[combinatorial number theory]]. He is an expert on [[immersion (mathematics)|immersions]] of [[projective spaces]], and maintains a website with all known results for [[real projective space|real projective spaces]].<ref></ref> He computed the <math>v_1</math>-periodic homotopy groups of all [[simple Lie group|compact simple Lie groups]].
==Career at Lehigh==


==Coaching==
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==Mathematical Research==


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.<ref name="arml2022">{{cite web |title=ARML 2022 Final Results |url=https://www.arml.com/ARML/arml_2019/page/index.php?page_type=public&page=home |website=www.arml.com |publisher=The Official American Regions Mathematics League Web Page |access-date=8 January 2023 |date=6 June 2022}}</ref> They won the {\it Harvard/MIT Math Tournament ([[HMMT]]} in 2023 and 2024, and the {\it Princeton University Math Competition (PUMaC)} in 2009, 2010, 2012, and 2024.
==Students==


==Coaching==
==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.


⚫
==Selected Publications==
==Ultrarunning==


⚫
* The Nature and Power of Mathematics, Princeton Univ Press (1993). Dover Publications (2004). {{ISBN|0-486-43896-1}}
==Family History==


* A strong nonimmersion theorem for real projective spaces, Annals of Math 120 (1984) 517-528.
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==Publications==
===Textbooks===
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*''The Nature and Power of Mathematics'' Dover Publications 2004. {{ISBN|0-486-43896-1}}


* From Representation Theory to Homotopy Groups, Memoirs Amer Math Soc 759 (2002).
===Notable articles===
* Donald Davis, Tony Bahri, Martin Bendersky, and [[Peter B. Gilkey]], The complex bordism of groups with periodic cohomology. Trans. Amer. Math. Soc. (316) (1989) 673-688.


==Notes==
==Notes==
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* {{MathGenealogy|id=3144}}
* {{MathGenealogy|id=3144}}
* [http://lehigh.edu/~dmd1/ Lehigh University home page]
* [http://lehigh.edu/~dmd1/ Lehigh University home page]
* [https://www.arrs.run/TR\_WSpanUM.htm]
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* [https://www.lehigh.edu/~dmd1/imms.html]


{{Authority control}}
{{Authority control}}

Revision as of 04:45, 10 April 2024

For other persons, see Donald Davis (disambiguation).
Donald Davis
Born(1945-05-07)7 May 1945
Fort Knox, Kentucky
NationalityAmerican
Alma materMIT
Stanford University
Known forCoaching Lehigh Valley ARML
Awards
Scientific career
FieldsMathematics
InstitutionsLehigh University
Doctoral advisorR. James Milgram
Doctoral students
  • Hyun-Jong Song (1987)
  • Ken Monks (1989)
  • Huajian Yang (1995)
  • Ismet Karaca (1996)
  • Vitaly Zelov (1997)
  • Mike Fisher (2001)
  • Tom Shimkus (2002)
  • Leyla Batakci (2002)
  • Katarzyna Potocka (2004)
  • Xiaoxue Li (2007)
  • Karen McCready (2012)
  • Robert Short (2018)
  • Steven Scheirer (2018)

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

Biography

Davis received a B.S. from MIT in 1967 and a PhD in mathematics at Stanford in 1972, directed by R. James Milgram. 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.[1]. Since 2002, he has been Executive Editor of Homology, Homotopy and Applications.

Research

Davis has published in algebraic topology, differential topology, topological robotics, and combinatorial number theory. He is an expert on immersions of projective spaces, and maintains a website with all known results for real projective spaces.Cite error: There are <ref> tags on this page without content in them (see the help page). He computed the -periodic homotopy groups of all compact simple Lie groups.

Coaching

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.[2] They won the {\it Harvard/MIT Math Tournament (HMMT} in 2023 and 2024, and the {\it Princeton University Math Competition (PUMaC)} in 2009, 2010, 2012, and 2024.

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.

Selected Publications

  • The Nature and Power of Mathematics, Princeton Univ Press (1993). Dover Publications (2004). ISBN 0-486-43896-1
  • A strong nonimmersion theorem for real projective spaces, Annals of Math 120 (1984) 517-528.
  • From Representation Theory to Homotopy Groups, Memoirs Amer Math Soc 759 (2002).

Notes

  1. ^ [https://www.ams.org/profession/ams-fellows/rnoti-p631.pdf ], retrieved 2013-02-10.
  2. ^ "ARML 2022 Final Results". www.arml.com. The Official American Regions Mathematics League Web Page. 6 June 2022. Retrieved 8 January 2023.

External links


source: https://en.wikipedia.org/w/index.php?title=Donald_M._Davis_(mathematician)&diff=prev&oldid=1218174427

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