| image =

| doctoral_advisor = [[Frederick J. Almgren Jr.|Frederick Almgren Jr.]]

| doctoral_students =

| known_for = Proving [[Double Bubble conjecture]]

| [[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)

'''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.

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>

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>

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>

[[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.

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.

*''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}}

* [[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]]

* Frank Morgan. [https://www.ams.org/notices/200508/fea-morgan.pdf Manifolds with density.] Notices Amer. Math. Soc. 52 (2005), no. 8, 853–858.

* {{MathGenealogy|id=17378}}

* [http://math.williams.edu/morgan/ Williams College home page]

{{DEFAULTSORT:Morgan, Frank}}

[[Category:Year of birth missing (living people)]]

[[Category:Princeton University alumni]]

[[Category:Massachusetts Institute of Technology School of Science faculty]]

[[Category:Williams College faculty]]

[[Category:Geometers]]

[[Category:Measure theorists]]