A few research topics currently investigated in my group:
Algorithms for two-layers neural networks (with Song Mei, Marco Mondelli and Phan-Minh Nguyen)
Optimal loss function in high-dimensional statistics (with Michael Celentano and Ahmed El Alaoui)
Statistics with missing and corrupted data (with Kabir Chandrasheker)
Computational barriers in statistical estimation
Funding for these projects came from NSF, AFOSR, ONR Agilent, Google, Cisco