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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 broadly interested in combinatorics, probability theory and related areas in statistical physics and theoretical computer science. Here is a detailed CV. Some other biographical information may be found here.

Before joining the faculty at Rutgers, I was a Research Fellow at St John's College and a member of the DPMMS at Cambridge. Earlier still, I received my PhD from the University of Cambridge under Béla Bollobás.

Here are copies of all of my publications; a few representative articles are listed below. Some handwritten lecture notes from past courses may be found here.

Friendly bisections of random graphs [PDF].

Communications of the American Mathematical Society, 2 (2022), with A. Ferber, M. Kwan, A. Sah and M. Sawhney.

Thresholds versus fractional expectation-thresholds [PDF].

Annals of Mathematics, 194 (2021), with K. Frankston, 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.

Antichain codes [PDF].

Submitted, with B. Gunby, X. He and S. Spiro.

Subgraphs of large connectivity and chromatic number [PDF].

Bulletin of the London Mathematical Society, 54 (2022), with A. Girão.

On symmetric 3-wise intersecting families [PDF].

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

Spanning surfaces in 3-graphs [PDF].

Journal of the European Mathematical Society, 24 (2022), with A. Georgakopoulos, J. Haslegrave and R. Montgomery.

Simplicial homeomorphs and trace-bounded hypergraphs [PDF].

Discrete Analysis, 2022:6 (2022), with J. Long and C. Yap.

Disproportionate division [PDF].

Bulletin of the London Mathematical Society, 52 (2020), with L. Crew and S. Spirkl.