Eoin Long

I am a postdoctoral researcher at the School of Mathematical Sciences in Tel Aviv University hosted by Noga Alon, Michael Krivelevich, Wojciech Samotij and Asaf Shapira. I am interested in extremal combinatorics, graph theory, set systems, probabilistic methods in combinatorics, high dimensional phenomena and discrete geometry. Before coming to Tel Aviv, I held a postdoctoral position at the University of Oxford and Queen Mary, University of London hosted by Peter Keevash. I completed my PhD in mathematics in 2012 under the supervision of Imre Leader at the University of Cambridge. I was an undergraduate at Trinity College Dublin.

E-mail: eoinlong(at)post.tau.ac.il

Research:

Counting Hamilton decompositions of oriented graphs
A. Ferber, E. Long, B. Sudakov
Submitted. pdf
On a Ramsey-type problem of Erdős and Pach
R.J. Kang, E. Long, V. Patel, G. Regts
Submitted. pdf
Packing and counting arbitrary Hamilton cycles in random digraphs
A. Ferber, E. Long
Submitted. pdf
Set families with a forbidden pattern
I. Karpas, E. Long
European Journal of Combinatorics, to appear. pdf
Packing, counting and covering Hamilton cycles in random directed graphs
A. Ferber, G. Kronenberg, E. Long
Israel Journal of Mathematics, to appear. pdf
Large unavoidable subtournaments
E. Long
Combinatorics, Probability and Computing, 26 (2017), 68-77. pdf
Frankl-Rödl type theorems for codes and permutations
P. Keevash, E. Long
Transactions of the American Mathematical Society, 369 (2017), 1147-1162. pdf
On the normalized Shannon capacity of a union
P. Keevash, E. Long
Combinatorics, Probability and Computing, 25 (2016), 766-767. pdf
Forbidding intersection patterns between layers of the cube
E. Long
Journal of Combinatorial Theory Series A, 134 (2015), 103120. pdf
Long geodesics in subgraphs of the cube
I. Leader, E. Long
Discrete Mathematics, 326 (2014), 29-33. pdf
Forbidding a set difference of size 1
I. Leader, E. Long
Discrete Applied Mathematics, 169 (2014), 219-224. pdf
Tilted Sperner families
I. Leader, E. Long
Discrete Applied Mathematics, 163 (2014), 194-198. pdf
Long paths and cycles in subgraphs of the cube
E. Long
Combinatorica, 33 (2013), 395-428. pdf
Random walks on quasirandom graphs
B. Barber, E. Long
Electronic Journal of Combinatorics, 20 (2013) P25. pdf

Teaching:

Extremal Combinatorics, Queen Mary, University of London. 2012.
Courses supervised from Cambridge Tripos:

Analysis
Analysis II
Complex Analysis
Graph Theory
Math IA revision supervisions
Metric and Topological Spaces
Probability IA
Probability and Measure