Moments of Rankin-Selberg $L$-functions in the prime-power level aspect

In this talk we discuss joint work with Fatma Çiçek on establishing asymptotic formulae with power saving error term  for first and second moments of Rankin-Selberg $L$-functions $L(1/2+i\mu,f\otimes g)$ where $f$ varies over newforms of conductor $p^n$ with $p$  being a fixed prime and $n\to\infty$.

Alia Hamieh is an associate professor in the Department of Mathematics and Statistics at UNBC. She obtained her PhD in Mathematics from UBC in May 2013 under the supervision of Nike Vatsal. Before joining UNBC, she was a PIMS post-doctoral fellow at the University of Lethbridge (2015-2017) and a Coleman post-doctoral fellow at Queen's University (2013-2015). Her research interests are in number theory, modular forms, moments of L-functions and automorphic L-functions.