My current research lies broadly in geometric statistics and learning on singular spaces. I'm also interested in concentration of measure and random matrix theory. Here are links my pages on ResearchGate, Google Scholar, where most of my publications and available online.
I'm very much open to academic research collaboration in the areas that interest me or have significant overlaps with them. So please feel free to contact me for the same, and I'd be pleased to have a discussion!
Selected publications and preprints:
Two to three more papers on learning on singular spaces in preparation.
9. (Jointly with David Tewodrose)
Manifolds with kinks and the asymptotic behavior of the graph Laplacian operator with Gaussian kernel. Submitted. ArXiV preprint.
8. (Jointly with Praneeth Vepakomma, Rames Raskar, Julia Balla)
Splintering with distributions and polytopes: Unconventional schemes for private computation.
Link. IEEE EMBS Grand Challenges Forum on COVID-19 Tracing, virtual event.
7. (Jointly with Stephan Huckemann, Benjamin Eltzner, Do Tran Van)
Two-sample tests for optimal lifts, manifold stability and reverse labeling reflection shape.
ArXiv Preprint.
6. (Jointly with Praneeth Vepakomma)
Convergence of mean shift algorithms for large bandwidths and simultaneous efficient clustering.
ArXiV Preprint.
5. (Jointly with Stanley Durrleman, Maxime Louis, Paul Jusselin, Benjamin Cherlier)
A Fanning Scheme for the Parallel Transport along Geodesics on Riemannian Manifolds,
SIAM Journal on Numerical Analysis, 56(4):2563–2584, January 2018.
DOI: 10.1137/17M1130617
4. (Jointly with Roger P Woods 1, Suchit Panjiyar, Elizabeth Sowell, Katherine L Narr, Shantanu H Joshi)
A Riemannian Framework for Linear and Quadratic Discriminant Analysis on the Tangent Space of Shapes,
2017 IEEE Conference on Computer Vision and Pattern Recognition Workshops (CVPRW).
DOI: 10.1109/CVPRW.2017.102
3. (Jointly with Jun Hu)
Douady-Earle extensions of Hölder continuous and Lipschitz continuous circle homeomorphisms.
Preprint.
2. (Jointly with Jun Hu)
Boundary differentiability of Douady-Earle extensions of diffeomorphisms of S^n.
Pure and Applied Mathematics Quarterly, 2013.
1.Construction of a closed hyperbolic surface of arbitrarily small eigenvalue of prescribed serial number. Link.
Contemporary Mathematics, Vol. 590, 2013.