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| alma_mater = [[Massachusetts Institute of Technology|MIT]]<br>[[Stanford University]] |
| alma_mater = [[Massachusetts Institute of Technology|MIT]]<br>[[Stanford University]] |
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| doctoral_advisor = [[R. James Milgram]] |
| doctoral_advisor = [[R. James Milgram]] |
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| doctoral_students = {{Plainlist| |
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* Hyun-Jong Song (1987) |
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* Ken Monks (1989) |
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* Huajian Yang (1995) |
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* Ismet Karaca (1996) |
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* Vitaly Zelov (1997) |
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* Mike Fisher (2001) |
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* Tom Shimkus (2002) |
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* Leyla Batakci (2002) |
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* Katarzyna Potocka (2004) |
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* Xiaoxue Li (2007) |
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* Karen McCready (2012) |
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* Robert Short (2018) |
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* Steven Scheirer (2018)}} |
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| known_for = Coaching Lehigh Valley ARML |
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| prizes = {{ubl |
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| [[National Science Foundation]] research grant (1975-1983, 1984-1991) |
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| Outstanding Contribution to Mathematics Education Award, PA Council of Teachers of Mathematics (2005) |
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| Samuel Greitzer Distinguished Coach Award, [[American Regions Math League]] (2010) |
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}} |
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| footnotes = |
| footnotes = |
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}} |
}} |
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==Research== |
==Research== |
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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]]. |
Davis has published in [[algebraic topology]], [[differential topology]], [[topological complexity|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]]. |
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==Coaching== |
==Coaching== |
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Revision as of 17:45, 10 April 2024
Donald Davis | |
|---|---|
| Born | 7 May 1945 |
| 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. 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 Harvard/MIT Math Tournament (HMMT} in 2023 and 2024[3], and the Princeton University Math Competition (PUMaC) in 2009, 2010, 2012, and 2024[4].
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
- ^ [https://www.ams.org/profession/ams-fellows/rnoti-p631.pdf ], retrieved 2013-02-10.
- ^ "ARML 2022 Final Results". www.arml.com. The Official American Regions Mathematics League Web Page. 6 June 2022. Retrieved 8 January 2023.
- ^ https://www.hmmt.org/www/archive/results
- ^ https://jason-shi-f9dm.squarespace.com/archives
External links
| International | |
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| National | |
| Academics | |
