THC Science

Donald Davis
Donald Davis
	Don Davis at ARML contest, June 2022
Born	7 May 1945; Fort Knox, Kentucky
Nationality	American
Alma mater	MIT; Stanford University
	Scientific career
Fields	Mathematics
Institutions	Lehigh University
Doctoral advisor	R. 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 $v_{1}$ -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]

^ Donald M. Davis at the Mathematics Genealogy Project
^ "List of Fellows of the American Mathematical Society". American Mathematical Society. Retrieved 2013-06-09.
^ "Fellows of the AMS: Inaugural Class" (PDF). Notices of the AMS. AMS. May 2013.
^ "Editors of Homology, Homotopy and Applications". International Press. 2024-04-22.
^ "Donald M. Davis publications". MathSciNet.
^ "Immersions of projective spaces". at Don Davis's website.
^ 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.
^ "ARML Final Results". The Official American Regions Mathematics League Web Page.
^ "PUMaC Problem and Result Archive". PUMaC.
^ "Longest Time Spans Between First and Last Ultramarathon Wins". Association of Road Racing Statisticians.
^ This book was originally published by Princeton University Press in 1993.

External links[edit]

Donald Davis's homepage at Lehigh University

[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.

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@@ Line 1: / Line 1: @@
 {{short description|American mathematician}}
 {{For|other persons|Donald Davis (disambiguation)}}
 {{Infobox scientist
 | name              = Donald Davis
+| image             = Donald M. Davis.jpg
 | birth_date        = {{birth date|df=y|1945|5|7}}
 | birth_place       = [[Fort Knox]], [[Kentucky]]
+| caption           = Don Davis at [[American Regions Math League|ARML]] contest, June 2022
-| image             =
-| caption           = Donald Davis
 | nationality       = [[United States of America|American]]
 | field             = [[Mathematics]]
@@ Line 12: / Line 13: @@
 | alma_mater        = [[Massachusetts Institute of Technology|MIT]]<br>[[Stanford University]]
 | doctoral_advisor  = [[R. James Milgram]]
-| doctoral_students = {{Plainlist|
-* 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)}}
-| known_for         = Coaching Lehigh Valley ARML
-| prizes            = {{ubl
- | [[National Science Foundation]] research grant (1975-1983, 1984-1991)
- | Outstanding Contribution to Mathematics Education Award, PA Council of Teachers of Mathematics (2005)
- | Samuel Greitzer Distinguished Coach Award, [[American Regions Math League]] (2010)
- }}
 | footnotes         =
 }}
-'''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]].
-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>
+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>[https://www.lehigh.edu/~dmd1/vitapub17.html Bio from Davis's web site].</ref>
+	| url = https://www.ams.org/profession/ams-fellows/rnoti-p631.pdf
+	| title = Fellows of the AMS: Inaugural Class
+	| date = May 2013
+	| publisher = AMS
+    | series = Notices of the AMS
+}}</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
+	| title = Editors of Homology, Homotopy and Applications
+	| date = 2024-04-22
+	| publisher = International Press
+}}</ref>
+==Research==
-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>
+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}}
-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}}
+</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>
-==Career at Lehigh==
+==Coaching==
-==Mathematical Research==
+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>
-==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 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>
-==Ultrarunning==
+==Selected publications==
-==Family History==
+* {{cite book |last=Davis |first=Donald M. |date=2004|title= The Nature and Power of Mathematics |
-==Publications==
+ publisher= Dover Publication |isbn=0-486-43896-1}}<ref>This book was originally published by Princeton University Press in 1993.</ref>
-===Textbooks===
-*''The Nature and Power of Mathematics'' Dover Publications 2004. {{ISBN|0-486-43896-1}}
+* {{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 }}
-===Notable articles===
+* {{cite journal | last1= Davis | first1= Donald M. | title = From Representation Theory to Homotopy Groups | journal= Memoirs Amer Math Soc | volume = 759 | year = 2002 }}
-* 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==
@@ Line 67: / Line 58: @@
 ==External links==
+* {{official website|url=http://lehigh.edu/~dmd1/|name=Donald Davis's homepage}} at Lehigh University
-* {{MathGenealogy|id=3144}}
-* [http://lehigh.edu/~dmd1/ Lehigh University home page]
 {{Authority control}}
 {{DEFAULTSORT:Davis, Donald}}
+[[Category:1945 births]]
+[[Category:Living people]]
+[[Category:20th-century American mathematicians]]
+[[Category:21st-century American mathematicians]]
+[[Category:Lehigh University faculty]]
+[[Category:Fellows of the American Mathematical Society]]
+[[Category:American topologists]]
+[[Category:Massachusetts Institute of Technology alumni]]
+[[Category:Stanford University alumni]]
+[[Category:Mathematicians from Kentucky]]

Authority control databases
International	VIAF
National	United States
Academics	MathSciNet Mathematics Genealogy Project Scopus zbMATH

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Latest revision as of 02:00, 9 May 2024