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.
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 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.