Atwell Professor of Mathematics, Emeritus
Blogs: Personal blog | Huffington Post blog
Amazon Author Page Google Citations
Areas of Interest
Frank Morgan works in minimal surfaces and studies the behavior and structure of minimizers in various dimensions and settings.
Books
- Geometric Measure Theory: a Beginner’s Guide (5th ed. 2016)
- Calculus Lite 2001, republished as Calculus 2012; Max-Min video on YouTube.
- Riemannian Geometry: a Beginner’s Guide 1998
- The Math Chat Book 2000, based on his live, call-in Math Chat TV show and Math Chat column
- Real Analysis 2005 and Real Analysis and Applications 2006
Degrees
- SB, MIT, 1974
- MA, Princeton University, 1976 (NSF Fellow)
- PhD, Princeton University, 1977 (NSF Fellow)
- ScD (honorary), Cedar Crest College, 1995
Area: geometry, minimal surfaces, geometric measure theory, calculus of variations.
Positions and Awards
- MIT, 1977-1987
- C.L.E. Moore Instructor, 1977-79
- Chairman, Undergraduate Mathematics Office, 1979-82
- Everett Moore Baker Award for excellence in undergraduate teaching, 1982
- Cecil and Ida Green Career Development Chair, 1985-86
- Williams College, 1987-
- Department Chair, 1988-94, 2015-16
- Dennis Meenan ’54 Third Century Professor of Mathematics, 1997-2003
- Webster Atwell ’21 Professor of Mathematics, 2003-2016
- Webster Atwell ’21 Professor of Mathematics, Emeritus, 2016-
- National Science Foundation research grants, 1977-2006, 2008-2012
- Rice, Visiting Assistant Professor, 1982-83
- Stanford, Visiting Associate Professor, 1986-87
- NSF Math Advisory Committee, 1987-90
- Institute for Advanced Study, 1990-91
- First national MAA Haimo Distinguished Teaching Award, 1992
- University of Massachusetts, Adjunct Professor, 1992-
- Council, AMS, 1994-97
- Queens College, CUNY, Visiting Professor, fall 1994
- Distinguished Alumnus Award, William Allen High School, 1995
- Princeton, 250-Anniversary Visiting Professorship for Distinguished Teaching, 1997-98
- Second Vice-President, Math. Assn. America, 2000-2002
- Vice-President, Amer. Math. Soc., 2009-2012
- Berkshire Community College, Visiting Professor and Special Assistant to the President, Fall, 2014
- Editor-in-Chief, Notices AMS, 2016-2018.
- Baylor, Visting Professor, fall 2018.
Recent talks
Soap Bubbles and Mathematics : Popular talk
Abstract: Soap bubbles continue to confound and amaze mathematicians. Some recent mathematical breakthroughs are due to students. The presentation includes a little guessing contest with demonstrations, explanations, and prizes. No prerequisites. Friends and families welcome. Video.
Abstract: Soap bubbles continue to confound and amaze mathematicians. Some recent mathematical breakthroughs are due to students. The presentation includes a little guessing contest with demonstrations, explanations, and prizes. No prerequisites. Friends and families welcome. Video.
Baserunner’s Optimal Path : Popular talk
Abstract: What is the fastest path around the bases in baseball? The answer is something between the baseball diamond and a circle.Optimal Pentagonal Tilings : Colloquium talk
Abstract: Although regular hexagons, squares, and equilateral triangles are trivially perimeter-minimizing unit-area planar tilings, there is no tiling by regular pentagons. We discuss recently proven perimeter-minimizing tilings by convex pentagons and efforts to remove the presumably unnecessary convexity hypothesis.
Abstract: What is the fastest path around the bases in baseball? The answer is something between the baseball diamond and a circle.Optimal Pentagonal Tilings : Colloquium talk
Abstract: Although regular hexagons, squares, and equilateral triangles are trivially perimeter-minimizing unit-area planar tilings, there is no tiling by regular pentagons. We discuss recently proven perimeter-minimizing tilings by convex pentagons and efforts to remove the presumably unnecessary convexity hypothesis.
Optimal Double Bubbles in Rn and Other Spaces : Colloquium talk
Abstract: The classical isoperimetric theorem (Schwarz, 1884) says that a single round soap bubble in R3 provides the most efficient, least-area way to enclose a given volume of air. The Double Bubble Theorem (Hutchings, Morgan, Ritore, Ros, Annals of Math 2002) says that the familiar double soap bubble provides the most efficient way to enclose and separate two given volumes in R3. More recently there have been partial extensions from R3 to the sphere S3, hyperbolic space H3, the torus T3, and higher dimensions, including some work by undergraduates. Many open questions remain. No specific prerequisites; undergraduate majors welcome.
Abstract: The classical isoperimetric theorem (Schwarz, 1884) says that a single round soap bubble in R3 provides the most efficient, least-area way to enclose a given volume of air. The Double Bubble Theorem (Hutchings, Morgan, Ritore, Ros, Annals of Math 2002) says that the familiar double soap bubble provides the most efficient way to enclose and separate two given volumes in R3. More recently there have been partial extensions from R3 to the sphere S3, hyperbolic space H3, the torus T3, and higher dimensions, including some work by undergraduates. Many open questions remain. No specific prerequisites; undergraduate majors welcome.
Manifolds with Density : Colloquium/research seminar talk
Abstract: Since their appearance in Perelman’s proof of the Poincaré Conjecture, densities have played a major role in geometry and the isoperimetric problem. We discuss open questions and recent results, some by undergraduates. Video.
Abstract: Since their appearance in Perelman’s proof of the Poincaré Conjecture, densities have played a major role in geometry and the isoperimetric problem. We discuss open questions and recent results, some by undergraduates. Video.