### Research interests

My research interests are in statistics and applied probability. I specialize in detection problems of various sorts. I also work in compressed sensing and statistics in high-dimensions (model selection), machine learning (clustering, dimensionality reduction) and signal/image processing (denoising), network analysis, inference of geometric characteristics, and more.### Papers

All my recent papers are posted on the arXiv.org. Keep in mind that errors may go unnoticed until the paper gets properly reviewed.Below are some older papers:

- Connect-The-Dots: How many random points can a smooth curve pass through? [pdf]

with David L. Donoho, Xiaoming Huo and Craig Tovey - Near-optimal detection of geometric objects by fast multiscale methods [pdf]

with David L. Donoho and Xiaoming Huo - A super-class walk on upper-triangular matrices [pdf]

with Persi Diaconis and Richard Stanley

### Support

- National Science Foundation (NSF) DMS 1513465
- Office of Naval Research (ONR) N00014-13-1-0257
- National Science Foundation (NSF) DMS 1223137
- National Science Foundation (NSF) DMS 1120888
- National Science Foundation (NSF) DMS 0915160
- Hellman Fellowship (2009-2010)
- Office of Naval Research (ONR) N00014-09-1-0258
- National Science Foundation (NSF) DMS 0603890