Manjunath Krishnapur
Department of Mathematics
Indian Institute of Science
Contact
 Office N25, Dept. of Mathematics.
 Phone +91802293 3207.
 Email manjuatt iiscdotacdot in
Education
 Ph.D. 2006, University of California, Berkeley.
 M.Stat 2001, Indian Statistical Institute, Bangalore, Kolkata.
 B.Stat (Hons) 1999, Indian Statistical Institute, Kolkata.
Employment
 Associate professor 2013
 Assistant Professor 20092013 Indian Institute of Science, Bangalore.
 Postdoc 20062008, University of Toronto, Canada.
 Postdoc 2006, SAMSI and UNC, Chapel Hill.
Papers

One idea and two proofs of the KMT theorems
[Preprint, arXiv:2008.03287]

Random words in free groups, noncrossing matchings and RNA secondary structures (with Siddhartha Gadgil)
Indian J. Pure Appl. Math. (2022)
[Preprint, arXiv:2007.12109]

How Many Modes Can a Mixture of Gaussians with Uniformly Bounded Means Have? (with Navin Kashyap)
Information and Inference: Volume 11, Issue 2, (2022), 423434
[Preprint, arXiv:2005.01580]

Lower Deviations in $\beta$ensembles and Law of Iterated Logarithm in Last Passage Percolation. (with Riddhipratim Basu,
Shirshendu Ganguly and
Milind Hegde)
Israel Journal of Mathematics 242, (2021) 291324 [Preprint, arXiv:1909.01333]

A relative anticoncentration inequality. (with Sourav Sarkar)
[Preprint, arXiv:1612.09045]

Persistence probabilities in centered, stationary, Gaussian processes in discrete time. (with Krishna M.)
Indian J. Pure Appl. Math. 47, pages 183194 (2016)
[Preprint, arXiv:1506.00753]

Rigidity hierarchy in random point fields: random polynomials and determinantal processes. (with Subhroshekhar Ghosh)
Communications in Mathematical Physics, 388, (2021), 12051234
[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)
SIAM J. Discrete Math. Volume 31, No. 1, (2017), 597631,
[Preprint, arXiv:1510.08814]

Universality of the Stochastic Airy Operator. (with Brian Rider and Bálint Virág)
Communications on Pure and Applied Mathematics Volume 69, Issue 1, (2016), 145199,
[arXiv:1306.4832]

The Ginibre ensemble and Gaussian analytic functions. (with Bálint Virág)
Int. Math. Res. Not. IMRN 2014, no. 6, (2014), 14411464
[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), 56235644
[arXiv:1110.6333]

Nodal length fluctuations for arithmetic random waves. (with Pär Kurlberg and Igor Wigman)
Ann. Math. vol. 177, no. 2, (2013), 699737
[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 Random matrices: Universality of ESDs and the circular law.
(Main authors: Terence Tao and Van Vu)
Ann. Probab. 38 (2010), 20232065. [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]

Zeros of Random Analytic Functions [arXiv.math.PR/0607504]
Ph.D. thesis University of California, Berkeley. Spring 2006.
Thesis, Book, Lecture notes
Recorded lectures
Students
 PhD. students:
 Tulasi Ram Reddy On Critical Points of Random Polynomials and Spectrum of Certain Products of RandomMatrices (2016)
 Kartick Adhikari Hole probabilities for determinantal point processes in the complex plane (2017)
 Nanda Kishore Reddy Eigenvalues of products of random matrices (2017)
 Lakshmi Priya M.E. Nodal sets of random functions
(2021)
 Jnaneshwar Baslingker (in progress)
 M.S. thesis students: Raghavendra Tripathi (Determinantal processes and stochastic domination  2019), Indrajit Jana (Matchings between point processes  2012)
 Int. PhD. project students: Raghavendra Tripathi (2018), Prateek Kumar Vishwakarma (2017), Indrajit Jana (2011) and Kartick Adhikari (2011)
 UG project students: Terrence George George (2015), Venkata Ramana (2015), Anamay Chaturvedi (2016), Pranav Nuti (2018), Dhanus Lal (2022)
 External students: Nishad Bapatdhar (masters thesis (2018)), Ananya Singhal (projects (2021) and (2022)),
 Summer students: Arundhati Krishnan (basic probability (2009), real analysis (2010)), Sujayam Saha (random matrix theory (2010)), Subhabrata Sen and Pragya Sur (Random walks, mixing times (2011)), Suryateja Gavva (Analytic number theory (2011)), Hitesh Gakhar, Ashish Chandra and Sourav Sarkar (Random walks (2012)), Jigyasa Gaurav (Basic analytic number theory (2012)), Pratyay Datta, Rushil Nagda and Tanya Goyal (2013), Supriya N (Markov chains (2014)), Sourav Sarkar (anticoncentration (2014)), Debatosh Das and Arnab Datta (branching processes (2014)), Soumyo Biswas (continued fractions (2014)), Sanal Prasad (analytic number theory (2014)), Sridhar Venkatesh (analytic number theory (2015)) and Bhavya Teja (random walks (2015)), Sunidhi Taneja and Rameez Qureshi (discrete probability (2016)), Samyak (hyperbolic plane (2016)), Abhratanu Saha (Real analysis (2016)), Sayantan Khan (Fourier analysis (2016)), Prasenjit Dubey (Statistics (2016)), Gaurang Sriramanan (analytic number theory, Primes in P (2017)), Raunak Ray, Siddhaarth Sarkar, Aditya Raut (random walks, mixing times (2017)), Shubhamoy Nandan (weak convergence (2017)), Nishad Bapatdhar (Statistics in high dimensions (2017)), Anirban Basak, Saptarsi Ghosal, Somak Laha and Sayak Chatterjee (Markov chains (2019)), Deep Ghoshal and Arghya Chakraborty (percolation (2019)), Nafia Saleem (basic algebra (2019)), Swarup Pakiriswamy (analytic number theory (2019)), Chinmay S I (random walks (2020)), Aytijhya Saha (data science (2022)), Soham Mallick and Supratik Basu (random polynomials (2022)), Arunava Gantait and Samprit Chakraborty (discrete probability (2022)), Upendra Singh Parmar (Markov chains (2022)), Bijayan Ray (topics in analysis (2022))
Teaching
(For most recent course notes, look under Lecture notes above. What is below may be outdated, but you can find old exams and such)
Seminars
Resources for students