Donald M. Davis (mathematician)

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

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

In 1993 Davis started the Lehigh Valley Math Team. In 2005, 2009, 2010, 2011, and 2024, 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

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

  • 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

  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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