
Manjunath Krishnapur
Department of Mathematics, Indian Institute of Science, Bangalore 560 012
Lectures in probability and stochastic processes XI, Nov 2529, 2016
Contact
Office N25, Dept. of Mathematics.
Phone +91802293 3207.
Email manjuatmathdot iiscdoternetdotin

Education
Ph.D. 2006, University of California, Berkeley.
M.Stat 2001, Indian Statistical Institute, Bangalore, Kolkata.
B.Stat (Hons) 1999, Indian Statistical Institute, Kolkata.

Positions held
Assistant Professor 2009 Indian Institute of Science, Bangalore.
Postdoc 20062008, University of Toronto, Canada.
Postdoc 2006, SAMSI and UNC, Chapel Hill.

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:1510.08814]

The Ginibre ensemble and Gaussian analytic functions. (with Bálint Virág)
Int. Math. Res. Not. IMRN 2014, no. 6, (2014), 1441–1464
[Preprint, 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
[Preprint, 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
[Preprint, arXiv:1111.2800]

The single ring theorem. (with Alice Guionnet and Ofer Zeitouni)
Ann. Math. vol. 174 (2011), 11891217
[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 the paper 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, 314346
[arXiv.math.PR/0711.1378]

Overcrowding estimates for zeroes of Planar and Hyperbolic Gaussian analytic functions.
J. Stat. Phys. vol. 124 (2006), no. 6, 13991423.
[arXiv.math.PR/0510588]

Determinantal Processes and Independence. (with J.Ben Hough, Yuval Peres
and
Bálint Virág)
Probab. Surv. vol. 3, 206229, 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, 7281, 2004.
[arXiv.math.PR/0406487]


Ph.D. thesis
Zeros of Random Analytic Functions. [arXiv.math.PR/0607504]
Ph.D. thesis. University of California, Berkeley. Spring 2006.
Book
Lecture notes
 Real and complex zeros of random polynomials and analytic functions  Lectures given at LPSVI, Kolkata (Dec 2011).
 Random matrix course notes (highly incomplete!)
 First course in Probability: Part1 (measure theory), Part2 (probability theory), Part3 (martingales), Part4 (Brownian motion). Last two are very rough and incomplete.
 SLE seminar notes  Part 1 (complex analysis, mainly)
 Anticoncentration (lectures given at IITB, Jan 2016)

