**Atwell Professor of Mathematics, Emeritus**

Editor-in-Chief, *Notices AMS*, 2016–2018.

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.

### 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.

**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.

**Optimal Double Bubbles in R**:

^{n}and Other Spaces*Colloquium talk*

Abstract: The classical isoperimetric theorem (Schwarz, 1884) says that a single round soap bubble in

**R**

^{3}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

**R**

^{3}. More recently there have been partial extensions from

**R**

^{3}to the sphere

**S**

^{3}, hyperbolic space

**H**

^{3}, the torus

**T**

^{3}, 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.