Research, Publications and Book Reviews


(my research notebook)

RESEARCH

My advisor is Richard Evan Schwartz. My research interests are generally in low-dimensional geometry, and specifically in the symbolic dynamics that arise from cutting sequences on Veech surfaces and Bouw-Möller surfaces. I am currently working on a project involving geodesics on planar tilings.

PUBLICATIONS

Diana Davis, Cutting sequences on Bouw-Möller surfaces, in preparation.

Diana Davis, Cutting sequences, regular polygons, and the Veech group, Geometriae Dedicata, Volume 162, Issue 1 (2013), pages 231-261: pdf.

Diana Davis, Dmitry Fuchs, Sergei Tabachnikov, Periodic trajectories in the regular pentagon, Moscow Math J., vol. 3, 2011: arXiv, pdf.

Diana Davis, Alpha-Regular Stick Knots, senior honors thesis, Williams College, 2007: pdf

Elizabeth Adams, Ivan Corwin, Diana Davis, Michelle Lee, Regina Visocchi, Isoperimetric Regions in Gauss Sectors, Vol. 8, No. 1, 2007, Rose-Hulman Undergraduate Mathematics Journal: pdf.

Joseph Corneli, Ivan Corwin, Stephanie Hurder, Vojislav Sesum, Ya Xu, Elizabeth Adams, Diana Davis, Michelle Lee, Regina Visocchi, Neil Hoffman, Double Bubbles in Gauss Space and Spheres, Houston Journal of Mathematics, Vol. 34, No. 1, 2008: pdf.

BOOK REVIEWS

Perfect Rigor: A Genius and the Mathematical Breakthrough of the Century, January 2010. (A biography of Grigory Perelman.) AMS Graduate Student Blog.

Euler: Master of Us All, November 2007, Math Horizons Magazine. pdf.

My Erdös number is 4. (path)
My Erdös number is 5. (path)
My Erdös number is 6. (path)

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