Shreya Arya

I am Shreya Arya, a fourth year PhD student in the Mathematics Department at Duke University. My advisors are Sayan Mukherjee and Ezra Miller.

I am interested in Algebraic Topology, Geometry and Category theory and its applications to shape analysis and data science.

Research

(ongoing) Fuzzy Type theory for Opinion Dynamics, ACT project led by Paige North.
A, Justin Curry and Sayan Mukherjee, A Sheaf Theoretic Construction of Shape Space, arXiv preprint, 2022.
A, J.-D. Boissonnat, Kunal Dutta and Martin Lotz, Dimensionality Reduction for k-Distance Applied to Persistent Homology, Journal of Applied and Computational Topology, 2021, 5, pg. 671-691. Also appeared at 36th International Symposium on Computational Geometry (SoCG) 2020.

(11-17th July, 2022) Participated in the Adjoint School in Applied Category Theory, 2022 at the University of Strathclyde, Glasgow.
(20th-25th June, 2022) Contributing speaker at ATMCS 10, Algebraic Topology: Methods, Computation and Science at the Mathematical Institute, University of Oxford.
(29th May- 5th June 2022)c Participated in the AMS Math Research Communities in Data Science at the Crossroads of Analysis, Geometry, and Topology.
(3rd Dec, 2021) Invited speaker at ATIA Seminar, virtual.
(9th Nov, 2018) Gave a talk on Metric Embeddings (slides) at Datashape, INRIA, Sophia Antipolis.

Besides research, I really value teaching, mentorship and community in Mathematics.

Co-director (with Professors Ingrid Daubechies and Dorothy Buck) of SWiM, 2022 Duke. Summer Workshop in Math (SWiM) is a workshop for rising high school seniors who are interested in mathematics, with a particular focus on advancing female participation in math.
Co-president of Association of Women in Mathematics AWM Chapter at Duke, 2022-2023.

(Aug 22) Lectures on Algebra and Topology, Bootcamp for Incoming Mathematics PhD Students, Duke
(Aug 21)Lecture on Topology, Bootcamp for Incoming Mathematics PhD Students, Duke.