Any NGS aligner (e.g. BBMap, Bowtie2, BWA etc) will be capable of mapping your data against the wheat genome. You can grab a recent build from Wheat Ensembl Plants page. Assembling the wheat genome from Illumina data may be a taller order. Especially dependent on the amount, kind and quality of data you have.
Assembling and mapping are two very different steps. Assembling wheat genome with Illumina might be very hard to impossible. On the other hand, I don't know if the wheat genome is out. I suggest you visit this website to see if the genome is out (I just noticed the reference from genomax, so you might be able to retrieve the genome!). Also, I suggest you start with some good tutorial on NGS data analysis. I found this one that could be useful, but you might give a look, to see if there is something better suited to your needs.