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.

[1]

[2]

[3]

[4]

[5]

[6]

[7]

[8]

[9]

[10]

[11]

@@ Line 1: / Line 1: @@
 {{short description|American mathematician}}
 {{For|other persons|Donald Davis (disambiguation)}}
 {{Infobox scientist
 | name              = Donald Davis
-| image             =
+| image             = Donald M. Davis.jpg
-| caption           = Donald Davis
+| 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
 | nationality       = [[United States of America|American]]
 | field             = [[Mathematics]]
 | work_institutions = [[Lehigh University]]
 | alma_mater        = [[Massachusetts Institute of Technology|MIT]]<br>[[Stanford University]]
-| doctoral_advisor  = [[Frederick J. Almgren Jr.|Frederick Almgren Jr.]]
+| doctoral_advisor  = [[R. James Milgram]]
-| doctoral_students =
-| known_for         = Proving [[Double Bubble conjecture]]
-| prizes            = {{ubl
- | [[National Science Foundation research grant]] (1977-2006, 2008-)
- | First [[National Distinguished Teaching Award]] (1992)
- | [[Princeton University]], 250-Anniversary Visiting Professorship for Distinguished Teaching (1997–98)
- }}
 | footnotes         =
 }}
+'''Donald M. Davis''' (born 7 May 1945) is an [[United States of America|American]] [[mathematician]] specializing in [[algebraic topology]].
-'''Frank Morgan''' is an [[United States of America|American]] [[mathematician]] and the Webster Atwell '21 Professor of Mathematics, Emeritus, at [[Williams College]]. He is known for contributions to [[geometric measure theory]], [[minimal surface]]s, and [[differential geometry]], including the resolution of the [[double bubble conjecture]]. He was vice-president of the [[American Mathematical Society]]<ref>{{cite web|url=https://www.ams.org/secretary/election-results.html|title=Election Results|work=American Mathematical Society home page|date=2008-11-27|accessdate=2008-11-27}}</ref> and the Mathematical Association of America.
+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>
-Morgan studied at the [[Massachusetts Institute of Technology]] and  [[Princeton University]], and received his Ph.D. from Princeton in 1977, under the supervision of [[Frederick J. Almgren Jr.]] He taught at MIT for ten years before joining the Williams faculty.<ref>{{mathgenealogy|id=17378|name=Frank Morgan}}.</ref><ref>[http://math.williams.edu/morgan/bio/ Bio from Morgan's web site].</ref>
+.<ref>{{cite web
+	| 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==
-Morgan is the founder of SMALL, one of the largest and best known summer undergraduate Mathematics research programs. 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>
+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}}
-Frank Morgan is also an avid dancer. He gained eternal fame for his work "Dancing the Parkway".<ref name="Dance on Morgan Blog">{{cite web|url=http://www.williams.edu/Mathematics/fmorgan/Dancing%20the%20Parkway%20VII.mov |title=Dancing the Parkway|publisher=Frank Morgan's Blog|accessdate=2009-02-25}}</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>
-==Mathematical work==
-[[Image:Double bubble.png|left|thumb|Double bubble]]
-He is known for proving, in collaboration with [[Michael Hutchings (mathematician)|Michael Hutchings]], Manuel Ritoré, and Antonio Ros, the [[Double Bubble conjecture]], which states that the minimum-surface-area enclosure of two given volumes is formed by three spherical patches meeting at 120-degree angles at a common circle.
+==Coaching==
-He has also made contributions to the study of manifolds with density, which are [[Riemannian manifold]]s together with a measure of volume which is deformed from the standard Riemannian volume form. Such deformed volume measures suggest modifications of the [[Ricci curvature]] of the Riemannian manifold, as introduced by [[Dominique Bakry]] and Michel Émery.<ref>D. Bakry and Michel Émery. Diffusions hypercontractives. Séminaire de probabilités, XIX, 1983/84, 177–206. Lecture Notes in Math., 1123, Springer, Berlin, 1985.</ref> Morgan showed how to modify the classical Heintze-Karcher inequality, which controls the volume of certain cylindrical regions in the space by the Ricci curvature in the region and the [[mean curvature]] of the region's cross-section, to hold in the setting of manifolds with density. As a corollary, he was also able to put the Levy-Gromov [[isoperimetric inequality]] into this setting. Much of his current work deals with various aspects of isoperimetric inequalities and manifolds with density.
+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>
-==Publications==
-===Textbooks===
-*''Calculus Lite.'' Third edition. A K Peters/CRC Press, Natick, MA, 2001. {{ISBN|1-56881-157-8}}
-*''Geometric measure theory. A beginner's guide.'' Fifth edition. Illustrated by James F. Bredt. Elsevier/Academic Press, Amsterdam, 2016. viii+263 pp. {{ISBN|978-0-12-804489-6}}
-*''The math chat book.'' MAA Spectrum. Mathematical Association of America, Washington, DC, 2000. xiv+113 pp. {{ISBN|0-88385-530-5}}
-*''Real analysis.'' American Mathematical Society, Providence, RI, 2005. viii+151 pp. {{ISBN| 0-8218-3670-6}}
-*''Real analysis and applications. Including Fourier series and the calculus of variations.'' American Mathematical Society, Providence, RI, 2005. x+197 pp. {{ISBN|0-8218-3841-5}}
-*''Riemannian geometry. A beginner's guide.'' Second edition. A K Peters, Ltd., Wellesley, MA, 1998. x+156 pp. {{ISBN|1-56881-073-3}}
+==Running==
-===Notable articles===
-* [[Michael Hutchings (mathematician)|Michael Hutchings]], Frank Morgan, Manuel Ritoré, and Antonio Ros. Proof of the double bubble conjecture. Ann. of Math. (2) 155 (2002), no. 2, 459–489. [[doi:10.2307/3062123]]
+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>
-* Frank Morgan. [https://www.ams.org/notices/200508/fea-morgan.pdf Manifolds with density.] Notices Amer. Math. Soc. 52 (2005), no. 8, 853–858.
+==Selected publications==
+* {{cite book |last=Davis |first=Donald M. |date=2004|title= The Nature and Power of Mathematics |
+ 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 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 }}
 ==Notes==
@@ Line 51: / Line 58: @@
 ==External links==
+* {{official website|url=http://lehigh.edu/~dmd1/|name=Donald Davis's homepage}} at Lehigh University
-* {{MathGenealogy|id=17378}}
-* [http://math.williams.edu/morgan/ Williams College home page]
 {{Authority control}}
-{{DEFAULTSORT:Morgan, Frank}}
+{{DEFAULTSORT:Davis, Donald}}
-[[Category:Year of birth missing (living people)]]
+[[Category:1945 births]]
 [[Category:Living people]]
 [[Category:20th-century American mathematicians]]
 [[Category:21st-century American mathematicians]]
-[[Category:Massachusetts Institute of Technology alumni]]
+[[Category:Lehigh University faculty]]
-[[Category:Princeton University alumni]]
-[[Category:Massachusetts Institute of Technology School of Science faculty]]
-[[Category:Williams College faculty]]
 [[Category:Fellows of the American Mathematical Society]]
-[[Category:American textbook writers]]
+[[Category:American topologists]]
-[[Category:Geometers]]
+[[Category:Massachusetts Institute of Technology alumni]]
-[[Category:Measure theorists]]
+[[Category:Stanford University alumni]]
+[[Category:Mathematicians from Kentucky]]

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

THC Science

Bringing Science to the Cannabis Conversation!

Cannabis Sativa

Latest revision as of 02:00, 9 May 2024