Genetics of resistance to Zymoseptoria tritici and applications to wheat breeding

•We review the genetics of wheat resistance to Septoria tritici blotch, with a map of known genes.•Qualitative resistance is usually monogenic, genotype-specific and non-durable.•Quantitative resistance is generally polygenic with low specificity and greater durability.•Major requirements for resistance breeding are diverse germplasm and field sites with severe Septoria.