An article in US News & World Report states:
“Researchers have identified common genetic mutations between type 1 diabetes and celiac disease, suggesting that the two inflammatory disorders may stem from a shared underlying mechanism. “
“Researchers had previously seen genetic links between type 1 diabetes and celiac disease…But the new research shows there is “considerable overlap, and much more than we anticipated” he said. “Almost every celiac disease susceptibility gene had an effect in type 1 diabetes.” “
If you want details, see the article in The New England Journal of Medicine.