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Assistant Professor of Mathematics, Rutgers University
424 Hill Center, 848 445 7282
narayanan [at] math [dot] rutgers [dot] edu
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I am broadly interested in combinatorics and related areas in probability theory and statistical physics. Some other things, including a picture of me, may be found here.

Before moving to Rutgers, I was a Research Fellow at St John's College and a member of the DPMMS. Earlier, I received my PhD in 2015 from the University of Cambridge under the supervision of Béla Bollobás. Here is a more detailed CV.

I organise the discrete mathematics seminar at Rutgers along with Jeff Kahn. Sign up here for the seminar mailing list.

Thresholds versus fractional expectation-thresholds [PDF].

Submitted.

With K. Frankston, J. Kahn and J. Park.On symmetric intersecting families of vectors [PDF].

Submitted.

With S. Eberhard, J. Kahn and S. Spirkl.Disproportionate division [PDF].

Bulletin of the London Mathematical Society, To appear.

With L. Crew and S. Spirkl.Slowdown for the geodesic-biased random walk [PDF].

Electronic Communications in Probability, 24 (2019).

With M. Beliayeu, P. Chmel and J. Petr.Sharp thresholds for nonlinear Hamiltonian cycles in hypergraphs [PDF].

Random Structures and Algorithms, To appear.

With M. Schacht.Turán theorems for unavoidable patterns [PDF].

Submitted.

With A. Girão.Product-free sets in the free semigroup [PDF].

European Journal of Combinatorics, 83 (2020).

With I. Leader, S. Letzter and M. Walters.Spanning surfaces in 3-graphs [PDF].

Submitted.

With A. Georgakopoulos, J. Haslegrave and R. Montgomery.On symmetric intersecting families [PDF].

Submitted.

With D. Ellis and G. Kalai.Exceptional graphs for the random walk [PDF].

Annales de l’Institut Henri Poincaré, To appear.

With J. Aru, C. Groenland, T. Johnston, A. Roberts and A. ScottOn regular 3-wise intersecting families [PDF].

Proceedings of the American Mathematical Society, 146 (2018).

With K. Frankston and J. Kahn.Long cycles in Hamiltonian graphs [PDF].

Israel Journal of Mathematics, 229 (2019).

With A. Girão and T. Kittipassorn.The number of hypergraphs without linear cycles [PDF].

Journal of Combinatorial Theory, Series B, 134 (2019).

With J. Balogh and J. Skokan.Diffusion on graphs is eventually periodic [PDF].

Journal of Combinatorics, 10 (2019).

With J. Long.Reconstructing random jigsaws [PDF].

Multiplex and Multilevel Networks, Oxford University Press (2018).

With P. Balister and B. BollobásAn improved lower bound for Folkman's theorem [PDF].

Bulletin of the London Mathematical Society, 49 (2017).

With J. Balogh, S. Eberhard, A. Treglown and A. Wagner.Coalescence on the real line [PDF] [Code].

Transactions of the American Mathematical Society, 371 (2019).

With P. Balister, B. Bollobás, and J. Lee.On symmetric 3-wise intersecting families [PDF].

Proceedings of the American Mathematical Society, 145 (2017).

With D. Ellis.Induced subgraphs with many distinct degrees [PDF].

Combinatorics, Probability and Computing, 27 (2018).

With I. Tomon.Balancing sums of random vectors [PDF].

Discrete Analysis, 4 (2018).

With J. Aru, A. Scott and R. Venkatesan.Ramsey graphs induce subgraphs of many different sizes [PDF].

Combinatorica, 39 (2019).

With J. Sahasrabudhe and I. Tomon.Connections in randomly oriented graphs [PDF].

Combinatorics, Probability and Computing, 27, Special Oberwolfach Issue (2018).Catching a fast robber on the grid [PDF].

Journal of Combinatorial Theory, Series A, 152 (2017).

With P. Balister, B. Bollobás and A. Shaw.Line percolation [PDF].

Random Structures and Algorithms, 52, (2018).

With P. Balister, B. Bollobás, and J. Lee.Transference for the Erdős-Ko-Rado theorem [PDF].

Forum of Mathematics, Sigma, 3 (2015).

With J. Balogh and B. Bollobás.The multiplication table problem for bipartite graphs [PDF].

Combinatorica, 37 (2017).

With J. Sahasrabudhe and I. Tomon.On the stability of the Erdős-Ko-Rado theorem [PDF].

Journal of Combinatorial Theory, Series A, 137 (2016).

With B. Bollobás and A. Raigorodskii.Disjoint induced subgraphs of the same order and size [PDF].

European Journal of Combinatorics, 49 (2015).

With B. Bollobás, T. Kittipassorn and A. Scott.Separating path systems [PDF].

Journal of Combinatorics, 5 (2014).

With V. Falgas-Ravry, T. Kittipassorn, D. Korándi and S. Letzter.Approximations to m-coloured complete infinite hypergraphs [PDF].

Journal of Graph Theory, 80 (2015).

With T. Kittipassorn.A canonical Ramsey theorem for exactly m-coloured complete subgraphs [PDF].

Combinatorics, Probability and Computing, 23 (2014).

With T. Kittipassorn.Exactly m-coloured complete infinite subgraphs [PDF].

Journal of Combinatorial Theory, Series B, 106 (2014).