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 areas in statistical physics and theoretical computer science. I organise a weekly seminar at Rutgers around these topics.
Before joining the faculty at Rutgers, I held a research fellowship at St John's College, Cambridge. Earlier still, I received my PhD from Cambridge under Béla Bollobás. Here is a detailed CV.
Here are copies of all of my publications, and here are some lecture notes from courses past. A few papers representative of my interests are listed below.
Elementary symmetric polynomials under the fixed point
measure
[PDF].
Submitted, with A. Khaitan and I. Mata.
Antichain codes
[PDF].
Bulletin of the London Mathematical Society, 55 (2023), with B. Gunby, X. He and S. Spiro.
Friendly bisections of random graphs
[PDF].
Communications of the American Mathematical
Society, 2 (2022), with A. Ferber, M. Kwan, A. Sah and M. Sawhney.
Subgraphs of large connectivity and chromatic
number
[PDF].
Bulletin of the London Mathematical Society, 54 (2022), with A. Girão.
Spanning surfaces in 3-graphs
[PDF].
Journal of the European Mathematical Society, 24 (2022), with A. Georgakopoulos, J. Haslegrave and R.
Montgomery.
Thresholds versus fractional
expectation-thresholds
[PDF].
Annals of Mathematics, 194 (2021), with K. Frankston, J. Kahn and J. Park.
Disproportionate division
[PDF].
Bulletin of the London Mathematical Society, 52 (2020), with L. Crew and S. Spirkl.
Coalescence on the real line
[PDF].
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.