Scholarship
My dissertation work lied in the fields of contact topology and symplectic geometry. In particular, I studied Legendrian knots, which are knots that have additional geometric structure imposed by a particular plane field.
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My current research interests, however, include anything I can work on with my undergraduate students, spanning a wide range of topics. Some examples include mathematical card tricks, hyperbolic crochet, fractal architecture, and, yes, Legendrian Knot Theory. I am particularly interested in all forms of mathematical arts and crafts, and was a member of the Mathemalchemy team <link>.
Publications
*Pezzimenti, S., Pandey, A. Geography of Legendrian Knot Mosaics. (In Preparation)
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*Pezzimenti, S., DiCicco, G., Kommoju, A., Rajesh, D. (2021) Exploring and Extending the Impossible Card Location Trick, The College Mathematics Journal, 52:5, 356-363, DOI: 10.1080/07468342.2021.1967696
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Blackwell, S., Legout, N., Leverson, C., Limouzineau, M., Myer, Z., Pan, Y., Pezzimenti, S., Suárez, L., Traynor, L. (2020). Constructions of Lagrangian cobordisms, Research Directions in Symplectic and Contact Geometry and Topology, Association for Women in Mathematics Series 27, https://doi.org/10.1007/978-3-030-80979-9_5
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Pezzimenti, Samantha. Immersed Lagrangian Fillings of Legendrian Submanifolds via Generating Families. PhD Diss., Bryn Mawr College, 2018.
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*Indicates research with undergraduate students
Additional Links
Mathemalchemy: Conceived in early Fall 2019, as the brainchild of mathematician Ingrid Daubechies and fiber artist Dominique Ehrmann, the Mathemalchemy project became in 2020 an exciting collaborative enterprise, driven by the energy and enthusiasm of twenty-four mathematical artists and artistic mathematicians