H. C. Marston Morse
Marston Morse.jpg
Morse in 1965 (courtesy MFO)
Born(1892-03-24)March 24, 1892
DiedJune 22, 1977(1977-06-22) (aged 85)
Alma materColby College
Harvard University
Known forMorse theory
AwardsBôcher Memorial Prize (1933)
National Medal of Science (1964)
Scientific career
InstitutionsCornell University
Brown University
Harvard University
Institute for Advanced Study
ThesisCertain Types of Geodesic Motion of a Surface of Negative Curvature (1917)
Doctoral advisorGeorge David Birkhoff
Doctoral students

Harold Calvin Marston Morse (March 24, 1892 – June 22, 1977) was an American mathematician best known for his work on the calculus of variations in the large, a subject where he introduced the technique of differential topology now known as Morse theory. The Morse–Palais lemma, one of the key results in Morse theory, is named after him, as is the Thue–Morse sequence, an infinite binary sequence with many applications. In 1933 he was awarded the Bôcher Memorial Prize for his work in mathematical analysis.


He was born in Waterville, Maine to Ella Phoebe Marston and Howard Calvin Morse in 1892. He received his bachelor's degree from Colby College (also in Waterville) in 1914.[1] At Harvard University, he received both his master's degree in 1915 and his PhD in 1917. He wrote his PhD thesis, Certain Types of Geodesic Motion of a Surface of Negative Curvature, under the direction of George David Birkhoff.[2]

Morse was a Benjamin Peirce Instructor at Harvard in 1919–1920, after which he served as an assistant professor at Cornell University from 1920 to 1925 and at Brown University in 1925–1926. He returned to Harvard in 1926, advancing to professor in 1929, and teaching there until 1935. That year, he accepted a position at the Institute for Advanced Study in Princeton, where he remained until his retirement in 1962.[3]

He spent most of his career on a single subject, now known as Morse theory, a branch of differential topology that enables one to analyze the topology of a smooth manifold by studying differentiable functions on that manifold. Morse originally applied his theory to geodesics (critical points of the energy functional on paths); these techniques were used in Raoul Bott's proof of his periodicity theorem. Morse theory is a very important subject in modern mathematical physics, such as string theory.

He died on June 22, 1977, at his home in Princeton, New Jersey.[4]

Marston Morse should not be confused with either his 5th cousin twice removed Samuel Morse,[5][6][7]: 183 (Entry 2696), 217 (Entry 3297) [8][9] famous for Morse code, nor Anthony Morse, famous for the Morse–Sard theorem.

Selected publications





  1. ^ "Marston Morse - Scholars | Institute for Advanced Study". www.ias.edu. December 9, 2019. Retrieved December 26, 2021.
  2. ^ Marston Morse at the Mathematics Genealogy Project
  3. ^ O'Connor, John J.; Robertson, Edmund F., "Marston Morse", MacTutor History of Mathematics archive, University of St Andrews
  4. ^ "Harold Marston Morse Dies at 85; Served With Einstein at Princeton". The New York Times. June 26, 1977. ISSN 0362-4331. Retrieved December 26, 2021.
  5. ^ National Academy of Sciences (1994). "Marston Morse". Biographical Memoirs: Volume 65. Washington, DC: The National Academies Press. ISBN 978-0-309-07359-2.
  6. ^ "Noteworthy Morses". Morse Society. Retrieved June 5, 2022.
  7. ^ Morse, J. Howard; Leavitt, Emily W. (1903). "Anthony Morse and Four Generations". Morse genealogy, comprising the descendants of Samuel, Anthony, William, and Joseph Morse and John Moss: being a revision of the Memorial of the Morses, published by Abner Morse in 1850. Springfield Printing and Binding Company. hdl:2027/hvd.hxcrcu.
  8. ^ "Howard Calvin MORSE". Pilgrim Edward Doty Society: A Family History Society. Retrieved June 5, 2022.
  9. ^ Grimaud, Jessica (July 23, 2019). "Cousin Chart—Family Relationships Explained". FamilySearch. Retrieved June 5, 2022.
  10. ^ Dresden, Arnold (1936). "Review: Calculus of variations in the large, by Marston Morse". Bull. Amer. Math. Soc. 42 (9, Part 1): 607–612. doi:10.1090/s0002-9904-1936-06362-7.
  11. ^ Ahlfors, L. (1948). "Review: Topological methods in the theory of functions of a complex variable, by Marston Morse". Bull. Amer. Math. Soc. 54 (5): 489–491. doi:10.1090/s0002-9904-1948-09004-8.
  12. ^ Smale, Stephen (1977). "Review: Global variational analysis: Weierstrass integrals on a Riemannian manifold, by Marston Morse". Bull. Amer. Math. Soc. 83 (4): 683–693. doi:10.1090/s0002-9904-1977-14345-0.

Biographical references