Convex geometry, geometric analysis, and geometric functional analysis
Functional inequalities and geometric inequalities
Quantum information theory
Random matrices and compressed sensing
Statistical models with measurement error
Research Grants
2018-2023, A 5-year NSERC grant
2012-2018, A 6-year NSERC grant (with a supplement for early career researchers)
2011-2013, A startup grant from Memorial University of Newfoundland
Publications
Convex Geometry
R. Gardner, D. Hug, S. Xing and D. Ye, General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski Problem II. Submitted. arXiv:1809.09753
R. Gardner, D. Hug, W. Weil, S. Xing and D. Ye, General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski Problem I. Calc. Var. PDE., in press.
S. Xing and D. Ye, On the general dual Orlicz-Minkowski problem. Indiana Univ. Math. J., in press.
B. Zhu, S. Xing and D. Ye, The dual Orlicz-Minkowski problem. J. Geom. Anal., in press.
B. Zhu, H. Hong and D. Ye, The Orlicz-Petty bodies. Int. Math. Res. Notices, 2018 (2018) 4356-4403.