H. C. Marston Morse
Morse in 1965 (courtesy MFO)
Born	(1892-03-24)March 24, 1892 Waterville, Maine, U.S.
Died	June 22, 1977(1977-06-22) (aged 85) Princeton, New Jersey, U.S.
Alma mater	Colby College Harvard University
Known for	Morse theory
Awards	Bôcher Memorial Prize (1933) National Medal of Science (1964)
Scientific career
Fields	Mathematics
Institutions	Cornell University Brown University Harvard University Institute for Advanced Study
Thesis	Certain Types of Geodesic Motion of a Surface of Negative Curvature (1917)
Doctoral advisor	George David Birkhoff
Doctoral students	Emilio Baiada Nancy Cole Gustav Hedlund Sumner Myers Everett Pitcher Arthur Sard

Harold Calvin Marston Morse (March 24, 1892 – June 22, 1977) was an Americanmathematician best known for his work on thecalculus of variations in the large, a subject where he introduced the technique ofdifferential topology now known asMorse theory. TheMorse–Palais lemma, one of the key results in Morse theory, is named after him, as is theThue–Morse sequence, an infinite binary sequence with many applications.

He was elected to theAmerican Academy of Arts and Sciences in 1929,^[1] the United StatesNational Academy of Sciences in 1932,^[2] and theAmerican Philosophical Society in 1936.^[3] In 1933 he was awarded theBôcher Memorial Prize for his work inmathematical analysis.J. Robert Oppenheimer described Morse as "almost a statesman of mathematics."^[4]

Morse was born inWaterville, Maine to Ella Phoebe Marston and Howard Calvin Morse in 1892. He received hisbachelor's degree fromColby College (also in Waterville) in 1914.^[5] AtHarvard University, he received both hismaster's degree in 1915 and hisPhD in 1917. He wrote his PhD thesis,Certain Types of Geodesic Motion of a Surface of Negative Curvature, under the direction ofGeorge David Birkhoff.^[6]

Morse was married on June 20, 1922 to Celeste Phelps and they had two children,Meroe and Dryden. The couple divorced. He later married Louise Jefferys on June 13, 1940. They had five children, Julia, William, Elizabeth, Peter, and Louise.^[2]

Morse was a Benjamin Peirce Instructor at Harvard in 1919–1920, after which he served as an assistant professor atCornell University from 1920 to 1925 and atBrown 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 theInstitute for Advanced Study inPrinceton, where he remained until his retirement in 1962.^[7]

Morse spent most of his career on a single subject, now known as Morse theory, a branch ofdifferential topology that enables one to analyze thetopology of asmooth manifold by studyingdifferentiable functions on that manifold. Morse originally applied his theory togeodesics (critical points of theenergyfunctional onpaths); these techniques were used inRaoul Bott's proof of hisperiodicity theorem. Morse theory is a very important subject in modernmathematical physics, such asstring theory.

Morse died on June 22, 1977, at his home inPrinceton, New Jersey.^[8] His second wife, Louise Jeffreys, died in 2016.^[9]

Marston Morse should not be confused with either his 5th cousin twice removedSamuel Morse,^{[10][11][12]: 183 (Entry 2696), 217 (Entry 3297) [13][14]} famous forMorse code, norAnthony Morse, famous for theMorse–Sard theorem.

• Morse, Harold Marston (1924)."A fundamental class of geodesics on any closed surface of genus greater than one".Trans. Amer. Math. Soc.26 (1):25–60.doi:10.1090/s0002-9947-1924-1501263-9.MR 1501263.
• Morse, Marston (1928)."The foundations of a theory in the calculus of variations in the large".Trans. Amer. Math. Soc.30 (2):213–274.doi:10.1090/s0002-9947-1928-1501428-x.MR 1501428.
• Morse, M. (1928)."Singular points of vector fields under general boundary conditions".Proc Natl Acad Sci U S A.14 (5):428–430.Bibcode:1928PNAS...14..428M.doi:10.1073/pnas.14.5.428.PMC 1085532.PMID 16577120.
• Morse, Marston (1929)."The critical points of functions and the calculus of variations in the large".Bull. Amer. Math. Soc.35 (1):38–54.doi:10.1090/s0002-9904-1929-04690-1.MR 1561686.
• "The foundations of the calculus of variations in the large inm-space (first paper)".Trans. Amer. Math. Soc.31 (3):379–404. 1929.doi:10.1090/s0002-9947-1929-1501489-9.MR 1501489.
• Morse, M. (1929)."Closed extremals".Proc Natl Acad Sci U S A.15 (11):856–859.Bibcode:1929PNAS...15..856M.doi:10.1073/pnas.15.11.856.PMC 522574.PMID 16577255.
• "The foundations of a theory of the calculus of variations in the large inm-space (second paper)".Trans. Amer. Math. Soc.32 (4):599–631. 1930.doi:10.1090/s0002-9947-1930-1501555-6.MR 1501555.
• Morse, Marston (1931)."The critical points of a function ofn variables".Trans. Amer. Math. Soc.33 (1):72–91.doi:10.1090/s0002-9947-1931-1501576-4.MR 1501576.PMC 526733.PMID 16577308.
• Morse, Marston (1935)."Sufficient conditions in the problem of Lagrange without assumptions of normalcy".Trans. Amer. Math. Soc.37 (1):147–160.doi:10.1090/s0002-9947-1935-1501780-9.MR 1501780.
• Morse, Marston; Leighton, Walter (1936)."Singular quadratic functions".Trans. Amer. Math. Soc.40 (2):252–288.doi:10.1090/s0002-9947-1936-1501873-7.MR 1501873.
• Morse, Marston;Hedlund, Gustav A. (1942)."Manifolds without conjugate points".Trans. Amer. Math. Soc.51 (2):362–386.doi:10.1090/s0002-9947-1942-0006479-x.MR 0006479.
• Morse, M. (1952)."Homology relations on regular orientable manifolds".Proc Natl Acad Sci U S A.38 (3):247–258.Bibcode:1952PNAS...38..247M.doi:10.1073/pnas.38.3.247.PMC 1063540.PMID 16589087.

• Calculus of variations in the large, American Mathematical Society, 1934^[15]
• Topological methods in the theory of functions of a complex variable,Princeton University Press, 1947^[16]
• Lectures on analysis in the large, 1947
• Symbolic dynamics, Mimeographed notes byR. Oldenberger. Princeton, NJ: Institute for Advanced Study. 1966.
• with Stewart Cairns:Critical point theory in global analysis and differential topology, Academic Press, 1969
• Variational analysis: critical extremals and Sturmian extensions, Wiley, 1973; 2nd edn. Dover, 2007{{citation}}: CS1 maint: postscript (link)
• Global variational analysis: Weierstrass integrals on a Riemannian manifold, Princeton University Press, 1976^[17]
• Morse, Marston (1981),Bott, Raoul (ed.),Selected papers, Berlin, New York:Springer-Verlag,ISBN 978-0-387-90532-7,MR 0635124
• Morse, Marston (1987), Montgomery, Deane;Bott, Raoul (eds.),Collected papers. Vol. 1--6, Singapore: World Scientific Publishing Co.,ISBN 978-9971-978-94-5,MR 0889255

• "Pits, Peaks, and Passes: A Lecture on Critical Point Theory", Mathematical Association of America Lecture Films, 1966

• Pitcher, Everett (1994),"H. Marston Morse"(PDF), inNational Academy of Sciences of the United States of America (ed.),Biographical Memoirs, vol. 65, Washington, D.C.:National Academies Press, pp. 223–240,ISBN 978-0-309-07359-2.

• Bott, Raoul (1980), "Marston Morse and his mathematical works",Bulletin of the American Mathematical Society, New Series,3 (3):907–950,doi:10.1090/s0273-0979-1980-14824-7,MR 0585177,Zbl 0469.01012.
• Nadis, Steve;Yau, Shing-Tung (2013), "Chapter 4. Analysis and Algebra Meet Topology: Marston Morse, Hassler Whitney, and Saunders Mac Lane",A History in Sum,Cambridge, MA:Harvard University Press, pp. 86–115,doi:10.4159/harvard.9780674726550,ISBN 978-0-674-72500-3,JSTOR j.ctt6wpqft,MR 3100544,Zbl 1290.01005 (e-book:ISBN 978-0-674-72655-0).

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• Harvard University Department of Mathematics faculty
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• People from Waterville, Maine
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