Contact

Education

Positions held

Publications

• Persistence probabilities in centered, stationary, Gaussian processes in discrete time. (with Krishna M.)
  To appear in Indian J. Pure Appl. Math. [Preprint, arXiv:1506.00753]
  
• Rigidity hierarchy in random point fields: random polynomials and determinantal processes. (with Subhroshekhar Ghosh) [Preprint, arXiv:1510.08814]
  
• Phase Transitions for the Uniform Distribution in the PML Problem and its Bethe Approximation. (with Chun Lam Chan, Winston Fernandes and Navin Kashyap) [Preprint, arXiv:1506.00753]
  
• The Ginibre ensemble and Gaussian analytic functions. (with Bálint Virág)
  Int. Math. Res. Not. IMRN 2014, no. 6, (2014), 1441–-1464 [arXiv:1112.2457]
  
• Lipschitz correspondence between metric measure spaces and random distance matrices. (with Siddhartha Gadgil)
  Int. Math. Res. Not. IMRN 2013, no. 24, (2013), 5623–-5644 [arXiv:1110.6333]
  
• Nodal length fluctuations for arithmetic random waves. (with Pär Kurlberg and Igor Wigman)
  Ann. Math. vol. 177, no. 2, (2013), 699–-737 [arXiv:1111.2800]
  
• The single ring theorem. (with Alice Guionnet and Ofer Zeitouni)
  Ann. Math. vol. 174 (2011), 1189--1217 [arXiv:0909.2214]
• Derivation of an eigenvalue probability density function relating to the Poincare disk. (with Peter Forrester)
  J. Phys. A: Math. Theor. vol. 42 (2009), 385204 [arXiv:0906.5223]
• Appendix to Random matrices: Universality of ESDs and the circular law. (Main authors: Terence Tao and Van Vu)
  Ann. Probab. 38 (2010), 2023–-2065. [arXiv.math.PR/0807.4898]
• From random matrices to random analytic functions.
  Ann. Probab. vol. 37 (2009), no. 1, 314--346 [arXiv.math.PR/0711.1378]
• Overcrowding estimates for zeroes of Planar and Hyperbolic Gaussian analytic functions.
  J. Stat. Phys. vol. 124 (2006), no. 6, 1399--1423. [arXiv.math.PR/0510588]
• Determinantal Processes and Independence. (with J.Ben Hough, Yuval Peres and Bálint Virág)
  Probab. Surv. vol. 3, 206--229, 2006. [arXiv.math.PR/0503110]
• Recurrent graphs where two independent random walks collide finitely often. (with Yuval Peres)
  Electron. Comm. Probab. vol. 9, paper no. 8, 72--81, 2004. [arXiv.math.PR/0406487]