Publication

My main research interests include probabilistic combinatorics, random structures, random matrix theory and its applications.

Google Scholar, ORCID iD iconorcid.org/0000-0001-8128-3441


Publications/Preprints:

  1. Random perturbation and matrix sparsification and completion, (with S. O’Rourke, V. Vu), submitted.

  2. A generalized Hardy-Ramanujan formula for the number of restricted integer partitions (with T. Jiang), preprint available.
  3. Limiting empirical spectral distribution for the non-backtracking matrix of an Erdos-Renyi random graph (with P. M. Wood), submitted. pdf
  4. Random restricted partitions (with T. Jiang), preprint. pdf

  5. Eigenvectors of random matrices: a survey (with S. O’Rourke and V. Vu), Journal of Combinatorial Theory, Series A, 144:361–442 (2016). pdf

  6. Statistical properties of eigenvalues of Laplace-Beltrami operators (with T. Jiang), submitted. pdf

  7. Random perturbation of low-rank matrices: Improving classical bounds (with S. O’Rourke and V. Vu), Linear Algebra and its Applications, 540:26–59 (2018). pdf

  8. Random weighted projections, random quadratic forms and random eigenvectors (with V. Vu), Random Struct. Alg., 47(4): 792–821 (2015).pdf

  9. New methods for handling singular covariance matrices (with G. Tucci), submitted. pdf

  10. Random covariance matrices: Universality of local statistics of eigenvalues up to the edge, Random Matrices: Theory and Appl. 1 (2012). pdf

  11. Sparse random graphs: Eigenvalues and Eigenvectors (with L. Tran and V. Vu), Random Struct. Alg., 42(1):110–134 (2013). pdf


Conference Proceedings:

  1. An Innovative Approach for Analyzing Rank Deficient Covariance Matrices (With G. Tucci), Proceeding of the International Symposium on Information Theory, Boston, 2012. Link: Proceeding.