Alia Hamieh | PIMS - Pacific Institute for the Mathematical Sciences

University of Northern British Columbia

Dr. Hamieh received her PhD in Mathematics from the University of British Columbia in May 2013. She obtained her MSc and BSc in Mathematics from the American University of Beirut. Before joining the Math and Statistics Department at UNBC as an Assistant Professor, Dr. Hamieh 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).

Dr. Hamieh is one of the leaders for the PIMS CRG in L-Functions and Analytic Number Theory and the site contact for the PIMS - UNBC affiliate site.

Abstract: A new frontier for the modeling and analysis of reaction-diffusion PDE systems is where the diffusing species are nonlinearly coupled through dynamic interactions on the domain boundaries. Some specific examples of such systems, including...

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+iμ,f⊗g) where f varies over newforms of conductor pn with p being a...

The “Comparative Prime Number Theory” symposium is one of the highlight events organized by the PIMS-funded Collaborative Research Group (CRG) “ L-functions in Analytic Number Theory”. It is a one-week event taking place on the UBC campus in...

I will give an expository talk about half integer weight modular forms. Definitions and basic properties of this space will be given. Then, the Shimura correspondence will be discussed. Roughly speaking, this associates to a modular form of half...

Abstract: Associated to a newform F in S2(Γ0(N)) and an anticyclotomic finite-order Hecke character χ of an imaginary quadratic field K, one defines the twisted L-function L(F,χ,s). Prof. Vatsal obtained various results pertaining to the non...

In this talk, we discuss some results on the non-vanishing in p-adic families of the central values of certain Rankin-Selberg L-functions (namely, anticyclotomic twists of L-functions) associated to automorphic forms on GL(2).

In this talk, we give a brief overview of adelic Hilbert modular forms. Then, we show that the central values of the Rankin-Selberg convolutions, L(g otimes f, s), uniquely determine an adelic Hilbert modular form g, where f varies in a carefully...

In this talk, we describe a method for studying the value-distribution of L-functions based on the Jessen-Wintner theory. This method has been explored recently by Ihara and Matsumoto for the case of logarithms and logarithmic derivatives of...

In this talk, we discuss some results on the non-vanishing of the central values of Rankin-Selberg convolutions of families of Hilbert modular forms. Such results are obtained by establishing some asymptotics of certain twisted first and second...

In this talk, I will discuss recent joint work with Wissam Raji. We show that, on average, the L-functions of cuspidal Hilbert modular forms with sufficiently large weight k do not vanish on the line segments I(s)=t0, R(s)∈(k−12,k2−ϵ)∪(k2+ϵ,k+12)...