I am a lecturer at the School of Mathematics, University of Birmingham. My principal research interests lie in Combinatorics, and I am particularly interested in extremal combinatorics, graph theory, set systems, probabilistic methods in combinatorics, high dimensional phenomena and discrete geometry. See here for more about Combinatorics at Birmingham.

Before coming to Birmingham, I held postdoctoral positions at the University of Oxford, Tel Aviv University and Queen Mary, University of London. I completed my PhD in mathematics at the University of Cambridge under the supervision of Imre Leader. Before this I was an undergraduate at Trinity College Dublin.

E-mail: e.long(at)bham.ac.uk

Office: B27, Watson Building

Address: School of Mathematics

University of Birmingham

Edgbaston

Birmingham, B15 2TT, UK

My publications/preprints appear below. The abstracts can also be read together here.

24. *Forbidden intersections for codes*

Peter Keevash, Noam Lifshitz, Eoin Long, Dor Minzer

Submitted. pdf

Peter Keevash, Noam Lifshitz, Eoin Long, Dor Minzer

Submitted. pdf

23. *Global hypercontractivity and its applications*

Peter Keevash, Noam Lifshitz, Eoin Long, Dor Minzer

Submitted. pdf

Peter Keevash, Noam Lifshitz, Eoin Long, Dor Minzer

Submitted. pdf

22. *Tournament quasirandomness from local counting*

Matija Bucić, Eoin Long, Asaf Shapira, Benny Sudakov

Combinatorica, 41(2) (2021), 175-208. pdf

Matija Bucić, Eoin Long, Asaf Shapira, Benny Sudakov

Combinatorica, 41(2) (2021), 175-208. pdf

21. *Cycle-complete Ramsey numbers*

Peter Keevash, Eoin Long, Jozef Skokan

International Mathmatics Research Notices, 2021(1), 275-300. pdf

Peter Keevash, Eoin Long, Jozef Skokan

International Mathmatics Research Notices, 2021(1), 275-300. pdf

20. *Distinct degrees in induced subgraphs*

Matthew Jenssen, Peter Keevash, Eoin Long, Liana Yepremyan

Proceedings of the American Mathematical Society, 148(9) (2020), 3835-3846. pdf

Matthew Jenssen, Peter Keevash, Eoin Long, Liana Yepremyan

Proceedings of the American Mathematical Society, 148(9) (2020), 3835-3846. pdf

19. *Stability for vertex isoperimetry in the cube*

Peter Keevash, Eoin Long

Journal of Combinatorial Theory Series B, 145 (2020), 113-144. pdf

Peter Keevash, Eoin Long

Journal of Combinatorial Theory Series B, 145 (2020), 113-144. pdf

18. *Correlation for permutations*

J. Robert Johnson, Imre Leader, Eoin Long

Journal of Combinatorial Theory Series A, 175 (2020), 105260. pdf

J. Robert Johnson, Imre Leader, Eoin Long

Journal of Combinatorial Theory Series A, 175 (2020), 105260. pdf

17. *Hypercontractivity for global functions and sharp thresholds*

Peter Keevash, Noam Lifshitz, Eoin Long, Dor Minzer

Subsumed by 23 above. pdf

Peter Keevash, Noam Lifshitz, Eoin Long, Dor Minzer

Subsumed by 23 above. pdf

16. *Forbidden vector-valued intersections*

Peter Keevash, Eoin Long

Proceedings of the London Mathematical Society, 121 (2020), 702-742. pdf

Peter Keevash, Eoin Long

Proceedings of the London Mathematical Society, 121 (2020), 702-742. pdf

15. *Packing and counting arbitrary Hamilton cycles in random digraphs*

Asaf Ferber, Eoin Long

Random Structures and Algorithms, 54 (2019), 499-514. pdf

Asaf Ferber, Eoin Long

Random Structures and Algorithms, 54 (2019), 499-514. pdf

14. *Counting Hamilton decompositions of oriented graphs*

Asaf Ferber, Eoin Long, Benny Sudakov

International Mathematics Research Notices, 22 (2018), 6908-6933. pdf

Asaf Ferber, Eoin Long, Benny Sudakov

International Mathematics Research Notices, 22 (2018), 6908-6933. pdf

13. *A stability result for the cube edge isoperimetric inequality*

Peter Keevash, Eoin Long

Journal of Combinatorial Theory Series A, 155 (2018), 360-375. pdf

Peter Keevash, Eoin Long

Journal of Combinatorial Theory Series A, 155 (2018), 360-375. pdf

12. *On a Ramsey-type problem of Erdős and Pach*

Ross Kang, Eoin Long, Viresh Patel, Guus Regts

Bulletin of the London Mathematical Society, 49 (2017), 991-999. pdf

Ross Kang, Eoin Long, Viresh Patel, Guus Regts

Bulletin of the London Mathematical Society, 49 (2017), 991-999. pdf

11. *Frankl-Rödl type theorems for codes and permutations*

Peter Keevash, Eoin Long

Transactions of the American Mathematical Society, 369 (2017), 1147-1162. pdf

Peter Keevash, Eoin Long

Transactions of the American Mathematical Society, 369 (2017), 1147-1162. pdf

10. *Set families with a forbidden pattern*

Ilan Karpas, Eoin Long

European Journal of Combinatorics, 62 (2017), 183-196. pdf

Ilan Karpas, Eoin Long

European Journal of Combinatorics, 62 (2017), 183-196. pdf

9. *Packing, counting and covering Hamilton cycles in random directed graphs*

Asaf Ferber, Gal Kronenberg, Eoin Long

Israel Journal of Mathematics, 220 (2017), 57-87. pdf

Asaf Ferber, Gal Kronenberg, Eoin Long

Israel Journal of Mathematics, 220 (2017), 57-87. pdf

8. *Large unavoidable subtournaments*

Eoin Long

Combinatorics, Probability and Computing, 26 (2017), 68-77. pdf

Eoin Long

Combinatorics, Probability and Computing, 26 (2017), 68-77. pdf

7. *On the normalized Shannon capacity of a union*

Peter Keevash, Eoin Long

Combinatorics, Probability and Computing, 25 (2016), 766-767. pdf

Peter Keevash, Eoin Long

Combinatorics, Probability and Computing, 25 (2016), 766-767. pdf

6. *Forbidding intersection patterns between layers of the cube*

Eoin Long

Journal of Combinatorial Theory Series A, 134 (2015), 103–120. pdf

Eoin Long

Journal of Combinatorial Theory Series A, 134 (2015), 103–120. pdf

5. *Long geodesics in subgraphs of the cube*

Imre Leader, Eoin Long

Discrete Mathematics, 326 (2014), 29-33. pdf

Imre Leader, Eoin Long

Discrete Mathematics, 326 (2014), 29-33. pdf

4. *Forbidding a set difference of size 1*

Imre Leader, Eoin Long

Discrete Applied Mathematics, 169 (2014), 219-224. pdf

Imre Leader, Eoin Long

Discrete Applied Mathematics, 169 (2014), 219-224. pdf

3. *Tilted Sperner families*

Imre Leader, Eoin Long

Discrete Applied Mathematics, 163 (2014), 194-198. pdf

Imre Leader, Eoin Long

Discrete Applied Mathematics, 163 (2014), 194-198. pdf

1. *Random walks on quasirandom graphs*

Ben Barber, Eoin Long

Electronic Journal of Combinatorics, 20 (2013) P25. pdf

Ben Barber, Eoin Long

Electronic Journal of Combinatorics, 20 (2013) P25. pdf

Courses lectured at University of Birmingham:

Probability and Statistics

Probability and Statistics

Courses lectured at University of Oxford:

Combinatorics

Graph theory

Combinatorics

Graph theory

Courses tutored at University of Oxford:

Combinatorics

Constructive Mathematics

Geometry

Integration

Linear Algebra

Number Theory

Rings and Modules

Combinatorics

Constructive Mathematics

Geometry

Integration

Linear Algebra

Number Theory

Rings and Modules

Courses supervised at University of Cambridge:

Analysis

Analysis II

Complex Analysis

Graph Theory

Math IA revision supervisions

Metric and Topological Spaces

Probability IA

Probability and Measure

Analysis

Analysis II

Complex Analysis

Graph Theory

Math IA revision supervisions

Metric and Topological Spaces

Probability IA

Probability and Measure