Multiple Dirichlet series and Nichols algebras

Multiple Dirichlet series are meromorphic functions in  several complex variables developed in analytic number theory to study moments of L-functions. Nichols algebras are noncommutative algebras developed to study Hopf algebras and quantum groups. In joint work in progress with Ian Whitehead, we give a uniform construction of multiple Dirichlet series in the function field setting, unifying many previous constructions and producing new examples. I will give an introduction to these two areas and explain how our work relates them.