The diversity of repertoires of B-cell and T-cell receptors is
generated by a stochastic process of gene rearrangement called VDJ
recombination, and is later sculpted by selection, clonal
proliferation, and somatic hypermutations. I will show how these
processes can be learned quantitatively from high-throughput
repertoire sequencing data. The resulting models can then be used to
estimate the diversity of repertoires and their overlap between
individuals, to identify condition-specific immune receptors from
patient cohort data, and to detect signatures of immune responses in
single patients, opening the way for novel sequencing-based diagnostic
and prognostic tools.