Papers:

• On the eigenvalue distribution of spatio-spectral limiting operators in higher dimensions, II (with K. Hughes and A. Mayeli), e-print (2024): arXiv

• An example related to Whitney's extension problem for $L^{2,p}(\mathbb{R}^2)$ when $1 < p < 2$ (with J. Carruth), e-print (2023): arXiv

• On the eigenvalue distribution of spatio-spectral limiting operators in higher dimensions (with A. Mayeli), Appl. Comput. Harmon. Anal.  70 (2024), 101620. journal  arXiv

• On-the-fly control of nonlinear systems with sublinear regret (with U. Topcu and A. Vinod), IEEE Trans. Automat. Control 68 (2023), no. 5, 2729-2742. journal arxiv 

• The norm of linear extension operators for $C^{m-1,1}(\mathbb{R}^n)$ (with J. Carruth and A. Frei-Pearson), Adv. Math. (2022), Volume 410, Part A, 108698.  journal arxiv

• Constrained, global optimization of unknown functions with Lipschitz continuous gradients (with U. Topcu and A. Vinod), SIAM J. Optim. 32 (2022), no. 2, 1239-1264. journal arxiv

• A coordinate-free proof of the finiteness principle for the Whitney extension problem (with J. Carruth, A. Frei-Pearson, and B. Klartag), Rev. Mat. Iberoam. 36 (2020), no. 7, 1917-1956. journal arxiv

• Control-oriented learning on the fly  (with M. Ornik, S. Carr, and U. Topcu), IEEE Trans. Automat. Control 65 (2020), no. 11, pp. 4800-4807.

• Safe controller synthesis for data-driven differential inclusions (with M. Ahmadi and U. Topcu), IEEE Trans. Automat. Control 65 (2020), no. 11, pp. 4934-4940.

• Interpolation of data by smooth non-negative functions (with C. Fefferman and G.K. Luli), Rev. Mat. Iberoam. 33 (2017), no. 1, pp. 305-324. journal arXiv 

• Finiteness principles for smooth selection (with C. Fefferman and G.K. Luli), Geom. Funct. Anal. 27 (2016), no. 2, pp. 422-477. journal arxiv 

• Fitting a Sobolev function to data III (with C. Fefferman and G.K. Luli), Rev. Mat. Iberoam. 32 (2016), no. 3, pp. 1039-1126. journal 

• Fitting a Sobolev function to data II (with C. Fefferman and G.K. Luli), Rev. Mat. Iberoam. 32 (2016), no. 2, pp. 649-750. journal 

• Fitting a Sobolev function to data I (with C. Fefferman and G.K. Luli), Rev. Mat. Iberoam. 32 (2016), no. 1, pp. 273-374. journal 

• An arithmetic-geometric mean inequality for products of three matrices (with F. Krahmer and R. Ward), Linear Algebra Appl. 488 (2016), pp. 1-12. journal arXiv 

• The eigenvalue distribution of time-frequency localization operators , e-print (2015): arXiv

• The structure of Sobolev extension operators (with C. Fefferman and G.K. Luli), Rev. Mat. Iberoam. 30 (2014), no. 2, pp. 419-429. journal arXiv 

• Sobolev extension by linear operators (with C. Fefferman and G.K. Luli), J. Amer. Math. Soc. 27 (2014), pp. 69-145. journal arXiv 

• A bounded linear extension operator for $L^{2,p}(\mathbb{R}^2)$, Ann. of Math. 178 (2013), no. 1, pp. 183-230. journal arXiv 

• The jet of an interpolant on a finite set (with C. Fefferman.), Rev. Mat. Iberoam. 27 (2011), no. 1, pp. 355-360. journal

Books/monographs:

• Fitting Smooth Functions to Data (with Charles Fefferman), CBMS Regional Conference Series in Mathematics 135 (2020). https://bookstore.ams.org/cbms-135/