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Department of Mathematics, Rutgers University
424 Hill Center, 848 445 7282
narayanan [at] math [dot] rutgers [dot] edu
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I am a mathematician broadly interested in combinatorics, probability theory and related areas in statistical physics.

Before moving to Rutgers, I was a Research Fellow at St John's College, Cambridge and a member of the DPMMS. Earlier, I received my PhD from the University of Cambridge under Béla Bollobás. Some other biographical information may be found here.

A few representative papers are listed below; here is a detailed CV, and a full list of publications.

Thresholds versus fractional expectation-thresholds [PDF].
*Submitted*.

With K. Frankston, J. Kahn and J. Park.

The threshold for the square of a Hamilton cycle [PDF].
*Proceedings of the American Mathematical Society, To appear*.

With J. Kahn and J. Park.

Coalescence on the real line [PDF].
*Transactions of the American Mathematical Society, 371 (2019)*.

With P. Balister, B. Bollobás, and J. Lee.

Simplicial homeomorphs and trace-bounded hypergraphs [PDF].
*Submitted*.

With J. Long and C. Yap.

Spanning surfaces in 3-graphs [PDF].
*Submitted*.

With A. Georgakopoulos, J. Haslegrave and R. Montgomery.

Disproportionate division [PDF].
*Bulletin of the London Mathematical Society, 52 (2020)*.

With L. Crew and S. Spirkl.

Subgraphs of large connectivity and chromatic number [PDF].
*Bulletin of the London Mathematical Society, To appear*.

With A. Girão.

On symmetric 3-wise intersecting families [PDF].
*Proceedings of the American Mathematical Society, 145 (2017)*.

With D. Ellis.

The multiplication table problem for bipartite graphs [PDF].
*Combinatorica, 37 (2017)*.

With J. Sahasrabudhe and I. Tomon.