Mathematical Interests 

Annalisa Crannell received her PhD from Brown University, writing her dissertation in the area of non-linear partial differential equations.  For many years after that, she published in  the area of discrete topological dynamical systems, with particular interest in quasi-continuous functions.

But her current research is much more accessible and visual.  Together with students and with research colleauges, she asks questions about the applications of projective geometry  to perspective art:  specifically, how do we project our three-dimensional world onto a two-dimensional canvas?  

  • gegas drawing A GeoGebra drawing by Gega Agulashvili '15

Teaching Interests 

Crannell teaches classes ranging from Calculus to Projective Geometry to Analysis, and she also enjoys including students in independent studies and research.  

Her work on Writing within the Mathematics Curriculum includes numersous talks, articles, and the MAA book (coauthored with Elyn Rykken, Tommy Ratliff, and Gavin LaRose): Writing Projects for Mathematics Courses: Crushed Clowns, Cars, and Coffee to Go.

She is excedingly fond of using Inquiry Based Learning and the Modified Moore Method in her teaching.  Some of the worksheets she uses in her class appear in these Course Materials pages.

Student Co-authors

Crannell enjoys working with students.  Not all Independent Studies result in published papers, but some do.  Below are papers Crannell has co-published with F&M students:

  • with Stephanie Douglas (`12), ``Drawing on Desargues,'' Mathematics Intelligencer,  34:2 (2012) 7--12.
  • with M. Sohaib Alam (`07),     ``Quasicontinuous functions with totally discontinuous iterates,'' Real Analysis Exchange,  33:1 (2008) 159-164. 
  • with Martina Mincheva ( `07),    ``Reflections on Spheres,'' Math Horizons, (November 2007) 22--26.  
  • with Lindsay Hilbert (`04) and Stephen May ( `04),  ``Shifts of Finite Type and Fibonacci Harps”,  Applied Math Letters, 20:2, (2007) 138--141.
  • with Jack Stewart ( `03),   ``The Band around a (non)Convex Set,''  The College Mathematics Journal34:5 (2003) 377--379.
  • with Brian Habecker ( `02), ``Using Fractals to Motivate Linear Algebra'', Undergrad. Math. and its Applications25:1 (2004) 47--82.
  • by Melissa Shearer and Hayley Rintel ( ’00),``Math and Architecture'',  JOMA 1:2, (2001).
  • with Ben Shanfelder (`98),    ``Chaotic Results for Triangular Maps of the Square,'' Mathematics Magazine, 73 (2000) 13--20. 


Professional Service

Crannell is active in several national mathematical societies, including the 

She serves on the Board of Governors of the MAA and on the Executive Council of the AWM.  She has long been a mentor/consultant for early-career mathematicians through the MAA's Project NExT program.

Two of her most relevant publications for professional service include