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1. Some Diophantine applications of the theory of group expansion Jean Bourgain; 2. A brief introduction to approximate groups Emmanuel Breuillard; 3. Superstrong approximation for monodromy groups Jordan S. Ellenberg; 4. The ubiquity of thin groups Elena Fuchs; 5. The orbital circle method Alex V. Kontorovich; 6. Sieve in discrete groups, especially sparse Emmanuel Kowalski; 7. How random are word maps? Michael Larsen; 8. Constructing thin groups Darren Long and Alan W. Reid; 9. On ergodic properties of the Burger-Roblin measure Amir Mohammadi; 10. Harmonic analysis, ergodic theory and counting for thin groups Hee Oh; 11. Generic elements in Zariski-dense subgroups and isospectral locally symmetric spaces Gopal Prasad and Andrei Rapinchuk; 12. Growth in linear groups László Pyber and Endre Szabó; 13. On strong approximation for algebraic groups Andrei Rapinchuk; 14. Generic phenomena in groups: some answers and many questions Igor Rivin; 15. Affine sieve and expanders Alireza Salehi Golsefidy; 16. Growth in linear groups Peter Sarnak.

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