He gave an invited talk at the International Congress of Mathematicians (ICM) in Berlin in 1998[1] and at numerous other mathematical conferences all over the world.

Shalev's main area of research over the years has been Group Theory, and he often uses methods from other disciplines, such as Lie Algebras and Probability.

The first fruits of Shalev's research solve various problems in Group Rings using a unified method based on dimension subgroups.

Likewise Shalev used Lie methods to solve problems on fixed points of automorphisms of p-groups, and studied subgroup growth of profinite and discrete groups.

The fourth story, ‘Absence’, describes the release from the army on psychiatric grounds of an AWOL interested in being the object of a search party.

Shalev's second book was published in 1996 in the ‘New Library’ series (Siman Kri'a – ha-Kibbutz ha-Me'uhad) edited by Menachem Peri.

Large parts of the book describe many places in the world where people arrive for short, breathless periods and are constantly on the go.

The protagonist of the book is a married Israeli diplomat in New York who, during a visit to Israel, falls in love with a woman doing a doctorate in Physics on Dark Matter.

As the plot progresses the emails asymptotically approach in time the meeting in New York and illuminate its background, but these two types of text and narrative never coalesce.