Department of Mathematics, Rutgers University
424 Hill Center, 848 445 7282
narayanan [at] math [dot] rutgers [dot] edu
I am a mathematician broadly interested in combinatorics, probability theory and related problems in statistical physics and theoretical computer science.
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.
Here are a detailed CV, a complete list of publications, and quick summaries of my favourite papers. Some other biographical information may be found here.
A few representative papers are listed below; copies of all my papers are available here. Some handwritten lecture notes from past courses may be found here.
Thresholds versus fractional expectation-thresholds [PDF].
Annals of Mathematics, to appear, with K. Frankston, J. Kahn and J. Park.
Friendly bisections of random graphs [PDF].
Submitted, with A. Ferber, M. Kwan, A. Sah and M. Sawhney.
Coalescence on the real line [PDF].
Transactions of the American Mathematical Society, 371 (2019), with P. Balister, B. Bollobás, and J. Lee.
Spanning surfaces in 3-graphs [PDF].
Journal of the European Mathematical Society, to appear, with A. Georgakopoulos, J. Haslegrave and R. Montgomery.
Simplicial homeomorphs and trace-bounded hypergraphs [PDF].
Submitted, with J. Long and C. Yap.
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 regular 3-wise intersecting families [PDF].
Proceedings of the American Mathematical Society, 146 (2018), with K. Frankston and J. Kahn.
On symmetric 3-wise intersecting families [PDF].
Proceedings of the American Mathematical Society, 145 (2017), with D. Ellis.