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Noah Giansiracusa

Assistant Professor, Mathematical Sciences
Ph.D., Brown University, 2011
Office: Morison Hall 376 | ngiansiracusa@bentley.edu
Department Phone: 781.891._2473
                       


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Bio

After completing his PhD at Brown University in Mathematics (supervised by Dan Abramovich), Noah was a postdoc at University of Zurich in Switzerland and then at U.C. Berkeley (mentored by Bernd Sturmfels). He held tenure track positions at University of Georgia and Swarthmore College while he and his wife, a musicologist, looked for academic positions near each other, which they ultimately found in the Boston area. Noah's academic training was in pure mathematics, specifically algebraic geometry (the abstract study of systems of polynomial equations and their solutions), but in recent years he has also become involved in data science and exploring interactions between mathematics and legal studies. He created and runs an NSF funded high school enrichment program called "Math and Law Day" where students learn about mathematical and statistical topics that have entered the courtroom. In his data science research, he is particularly interested in using, and developing, geometric tools to uncover structure in data.

Teaching Interests

Data science and mathematics

Research Interests

Pure Math (algebraic geometry, tropical geometry, matroids) and Data Science (topological data analysis, multidimensional scaling, machine learning)

Professional Links

http://www.noahgian.com
https://scholar.google.com/citations?user=xEidIpMAAAAJ&hl=en

Awards and Honors

2020, Innovation in Teaching Award, Bentley University
2018, PI Research Grant ($165k), NSF
2016, Young Investigator Grant ($40k), NSA
2015, Co-PI Conference Grant ($28k), NSF
2015, Collaboration Grant ($35k), Simons Foundation
2012, Postdoctoral Fellowship ($150k), NSF

Publications

Journal Article(s)
Giansiracusa, N. (2021). Fibonacci, golden ratio, and vector bundles. Mathematics, 9 (4), 5. (link)

Giansiracusa, N. (2021). Trust your instincts when opportunity arises. Notices of the American Mathematical Society, 68 (3), 372-375. (link)

Giansiracusa, N., Caminata, A., Moon, H., Schaffler, L. (2021). Point configurations, phylogenetic trees, and dissimilarity vectors. Proceedings of the National Academy of Sciences (PNAS), 118 (12), 10. (link)

Giansiracusa, N. (2021). An evolutionary view of the U.S. Supreme Court. Mathematical and Computational Applications, 26 (2), 31. (link)

Giansiracusa, N., Vasilyeva, A. (2020). From Poland to "Petersburg": The Banach-Tarski Paradox in Bely's Modernist Novel. Annals of Language and Literature, 4 (3), 1-8. (link)

Giansiracusa, N. (2020). Finding, and sharing, mathematical beauty in the world. Wisaarkhu, Special Volume 1 (Topic 2). (link)

Giansiracusa, N., Mundinger, J., Crowley, C. (2020). A module-theoretic approach to matroids. Journal of Pure and Applied Algebra, 224 (2), 894-916. (link)

Giansiracusa, N., Manaker, J. (2020). Matroidal representations of groups. Advances in Mathematics, 366, 23. (link)

Giansiracusa, N., Ricciardi, C. (2019). Computational geometry and the U.S. Supreme Court. Mathematical Social Sciences, 98, 1-9. (link)

Moon, C., Giansiracusa, N., Lazar, N. (2018). Persistence terrace for topological inference of point cloud data. Journal of Computational and Graphical Statistics, 27 (3), 576-586. (link)

Giansiracusa, N., Gallardo, P. (2018). Modular interpretation of a non-reductive Chow quotient. Proceedings of the Edinburgh Mathematical Society, 61 (2), 457-477. (link)

Giansiracusa, N., Vasilyeva, A. (2018). Mathematical symbolism in a Russian literary masterpiece. Mathematical Intelligencer, 40 (3), 2-11. (link)

Giansiracusa, N., Ricciardi, C. (2018). Geometry in the courtroom. American Mathematical Monthly, 125 (10), 867-877. (link)

Giansiracusa, N., Caminata, A., Moon, H., Schaffler, L. (2018). Equations for point configurations to lie on a rational normal curve. Advances in Mathematics, 340, 653-683. (link)

Giansiracusa, N., Giansiracusa, J. H. (2018). A Grassmann algebra for matroids. Manuscripta Mathematica, 156 (1), 187-213. (link)

Giansiracusa, N., Doran, B., Jensen, D. (2017). A simplicial approach to effective divisors in M_{0,n}. International Mathematics Research Notices (2), 529-565. (link)

Giansiracusa, N. (2016). The dual complex of M_{0,n} via phylogenetics. Arkiv for Matematik, 106 (6), 525-529. (link)

Giansiracusa, N. (2016). Teaching the quandary of statistical jurisprudence: a review-essay on Math on Trial. Journal of Humanistic Mathematics, 6 (2), 207-224. (link)

Giansiracusa, N., Giansiracusa, J. H. (2016). Equations of tropical varieties. Duke Mathematics Journal, 165 (18), 3379-3433. (link)

Giansiracusa, N., Bolognesi, M. (2015). Factorization of point configurations, cyclic covers and conformal blocks. Journal of the European Mathematical Society, 17, 2453-2471. (link)

Giansiracusa, N., Gillam, W. D. (2014). On Kapranov's description of M_{0,n} as a Chow quotient. Turkish Journal of Mathematics, 38, 625-648. (link)

Giansiracusa, N., Jensen, D., Moon, H. (2013). GIT compactifications of M_{0,n} and flips. Advances in Mathematics, 248, 242-278. (link)

Giansiracusa, N. (2013). Conformal blocks and rational normal curves. Journal of Algebraic Geometry, 22, 773-793. (link)

Giansiracusa, N., Gibney, A. (2012). The cone of type A, level one conformal blocks divisors. Advances in Mathematics, 231, 798-814. (link)

Giansiracusa, N., Simpson, M. (2011). GIT compactifications of M_{0,n} from conics. International Mathematical Research Notices (14), 3315-3334. (link)

Cohn, H., Ballinger, B., Blekherman, G., Giansiracusa, N., Kelly, E., Schuermann, A. (2009). Experimental study of energy-minimizing point configurations on spheres. Experimental Mathematics, 18 (3), 257-283. (link)

Books
Giansiracusa, N. How Algorithms Create and Prevent Fake News. New York City, NY: Apress (a division of Springer Nature).

Farrelly, C, Giansiracusa, N. Using Geometry and Topology in Machine Learning. San Francisco, CA: No Starch Press.

Conference Paper(s)
Giansiracusa, N., Wu, X. Chow quotients of Grassmannians by diagonal subtori. Facets of Algebraic Geometry in honor of William Fulton's 80th birthday, 17. Forthcoming (link)

Giansiracusa, N., Giansiracusa, B., Moon, C. (2019). Persistent homology machine learning for fingerprint classification. Proceedings of the 18th IEEE International Conference on Machine Learning and Applications, IEEE ICMLA 2019, 1219-1226. (link)

Conference Presentations

Giansiracusa, N. (2021). "The Shape of Trees." Presented at the Bentley University's Bentley University Mathematical Sciences Research Seminar.

Giansiracusa, N. (2021). "Parameterizing matroids with schemes." Presented at the American Mathematical Society's AMS virtual sectional meeting, Online (due to COVID, formerly Georgia Tech).

Giansiracusa, N. (2021). "Geometry and Topology in Data." Presented at the University of Minnesota's Applied Topology Online Seminar.

Giansiracusa, N. (2020). "Geometric Views of the U.S. Supreme Court." Presented at the University of Illinois, Chicago's Selected Interdisciplinary Directions of Entertaining Mathematics, Virtual.

Giansiracusa, N. (2020). "Matroidal representations of groups." Presented at the UMASS Amherst, Department of Mathematics's Valley Geometry Seminar.

Giansiracusa, N. (2020). "Matroidal Representations of Groups." Presented at the Boston College's Number Theory/Algebraic Geometry Seminar.

Giansiracusa, N. (2019). "Persistent homology machine learning for fingerprint classification." Presented at the IEEE's 18th IEEE International Conference on Machine Learning and Applications, Boca Raton, Florida.

Giansiracusa, N. (2019). "Matroidal representations of groups." Presented at the Northeastern University's Geometry-Physics-Representation Theory Seminar, Boston, MA.

Service

Department Service
Course Coordinator for Internship coordinator, 2020 - Present
Committee Member for Curriculum Committee, 2019 - Present
Committee Member for Social Committee, 2019 - Present

University Service
Committee Member for Bentley University Learning and Teaching Council, 2020 - 2023

Professional Service
Conference/Workshop Session Chair for American Mathematical Society Sectional Meeting, Special Session on Tropical Geometry, 2019 - 2020