Publications
On Higher-Order Extensions of the Weighted Projection Body Operator (with E. Putterman, M. Roysdon, and D. Ye), arXiv:2305.00479, to appear in Pure and Applied Functional Analysis, Special Issue in honour of Nicole Tomczak-Jaegermann.
General Higher-Order Lp Mean Zonoids (with D. Xi), arXiv:2312.09500, to appear in the Proceedings of the American Mathematical Society.
Weighted Berwald's Inequality (with E. Putterman), arXiv:2210.04438, to appear in Indiana University Mathematics Journal, (2025).
The (Self-Similar, Variational) Rolling Stones (with J. Ulivelli), International Mathematics Research Notices, (2024), preprint: arXiv:2304.02548.
Weighted Brunn-Minkowski Theory I: On Weighted Surface Area Measures (with M. Fradelizi, M. Madiman, and A. Zvavitch), Journal of Mathematical Analysis and Applications, 529, (2024), preprint: arXiv:2212.13522.
"Weighted Minkowski's Existence Theorem and Projection Bodies" (with L. Kryvonos), Transactions of the American Mathematical Society, 376, (2023), preprint: arXiv:2111.10923.
“General Measure Extensions of Projection Bodies” (with M. Roysdon and A. Zvavitch), Proceedings of the London Mathematical Society, 3, (2022), preprint: arXiv:2106.13212.
“Probing Context-Dependent Errors in Quantum Processors,” (with K. Rudinger, T. Proctor. et. al), Physical Review X, 9, (2019), preprint: arXiv:1810.05651.
Papers Submitted
Affine Isoperimetric Inequalities for Higher-Order Projection and Centroid Bodies (with J. Haddad, E. Putterman, M. Roysdon, and D. Ye), arXiv:2304.07859, submitted.
General Higher-Order Lp Isoperimetric and Sobolev Inequalities (with J. Haddad, E. Putterman, M. Roysdon, and D. Ye), arXiv:2305.17468, submitted.
Weighted Brunn-Minkowski Theory II: On Inequalities for Mixed Measures and Applications (with M. Fradelizi, M. Madiman, and A. Zvavitch), arXiv:2402.10314, submitted.
Higher-Order Reverse Isoperimetric Inequalities for Log-concave Functions (with F. Marín Sola and J. Ulivelli), arXiv:2403.05712.