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 the heck do we project our three-dimensional world onto a two-dimensional canvas?
Crannell teaches classes ranging from Calculus to Projective Geometry to Analysis, and she also enjoys including students in independent studies and research.
She has two books on the mathematics of perspective art:
- Perspective and Projective Geometry (an IBL intro to proofs course for math majors)
- Viewpoints: Mathematical Perspsective and Fractal Geometry in Art (for a first year seminar
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 exceedingly 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.
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 Journal, 34:5 (2003) 377--379.
- with Brian Habecker ( `02), ``Using Fractals to Motivate Linear Algebra'', Undergrad. Math. and its Applications, 25:1 (2004) 47--82.
- by Melissa Shearer and Hayley Rintel ( ’00),``Math and Architecture'', JOMA 1:2, http://www.joma.org/ (2001).
- with Ben Shanfelder (`98), ``Chaotic Results for Triangular Maps of the Square,'' Mathematics Magazine, 73 (2000) 13--20.
Crannell is active in several national mathematical societies, including the
- the Mathematical Association of America
- the Association for Women in Mathematics, and
- the American Mathematical Society.
She has served 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
- Applying for Jobs: Advice from the Front (and the Rear), AMS employment pages
- Starting Our Careers: A Collection of Essays and Advice on Professional Development from the Young Mathematicians' Network, co-edited with Curtis Bennett, AMS: Rhode Island (1999).