Intelligent assistants and search engines are commonly being used to complete complex tasks. Hence, systems that can provide users with contextual task completion assistance with as little input from the user as possible are needed. In this talk, I will present our research in devising general purpose task completion agents. I will first start with the research we have done in incorporating information about users tasks and needs to search engine design. I will then describe how we have built upon this work to design conversational systems that can provide general purpose task completion assistance.

In recent years, differential privacy has emerged as the de facto standard for sharing statistics of datasets while limiting the disclosure of private information about the involved individuals. This is achieved by randomly perturbing the statistics to be published, which in turn leads to a privacy-accuracy trade-off: larger perturbations provide stronger privacy guarantees, but they result in less accurate statistics that offer lower utility to the recipients. Of particular interest are therefore optimal mechanisms that provide the highest accuracy for a pre-selected level of privacy. To date, work in this area has focused on specifying families of perturbations a priori and subsequently proving their asymptotic and/or best-in-class optimality.

Fixed Wireless Access (FWA) is one of the fastest growing use cases in 5G deployments. Global projections indicate that FWA subscriber base will exponentially increase, anticipated to reach approximately 265 million subscribers by 2029. While traditional mobile-centric cellular network infrastructures can theoretically accommodate FWA users, the distinctive characteristics of fixed wireless connectivitycharacterized by high data consumption and minimal tolerance for service interruptions creates unique challenges to be addressed. Conversely, the inherent fixed nature of FWA technology offers strategic opportunities for network optimization and potential infrastructure cost reductions within cellular network ecosystems.

Our societys ever-increasing dependence on electronic devices is driving an exponential rise in energy demand. To ensure a sustainable future, the development of energy-efficient materials for electronics is critical. Ferroelectric materials, with their intrinsic spontaneous electric polarization, hold promising potential to address this challenge. However, their large-scale integration into everyday electronics is hindered by issues such as stability concerns and limited control over their properties. In this talk, I will introduce ferroelectric thin films and how we can control their properties, with a focus on the layered perovskite Aurivillius ferroelectrics.

The tradition of marketing only aesthetically agreeable produce by retailers contributes to a major source of food waste and loss through

Semenov and Trifonov developed a spectral theory for quasi-cyclic codes and formulated a BCH-like minimum distance bound. Their approach was generalized by Zeh and Ling, by using the HT bound. The first spectral bound for quasi-twisted codes was given by Ezerman et. al., which generalizes Semenov-Trifonov and Zeh-Ling bounds, but its overall performance was observed to be worse than the Jensen bound. More recently, an improved spectral bound for quasi-cyclic codes was proposed by Luo et. al., which outperforms the Jensen bound in many cases. In this talk, an overview of Luo et. al. bound as well as an adoptation of this approach to quasi-twisted case with a different proof will be given. Moreover, randomized simulations show that these new generalized spectral bounds yields better minimum distance estimates compared to the Jensen and Ezerman et. al. bounds.

From Algorithms to Actors: A Socio-Computational Approach to Understanding Foreign Interference in International Politics

This talk is inspired by the role of environments in shaping behaviors. Through the discussion of two studies, we will ask: how do/should we construct environments in ways that regulate problematic behaviors We will first focus on our social environments and their role in the misinformation ecosystem.

Information theory is rooted in two fundamental principles: redundancy and the distance between codewords. The classical Hamming metric measures the distance between codewords by counting the number of positions where they differ. In recent decades, information theorists have explored the use of ordered structures to gain deeper insights into coding theory. A prominent example is the Niederreiter-Tsfasman-Rozenbloom (NTR) metric, defined on matrices. In this talk, we will discuss our variants of the NTR metric and their applications in the setting of algebraic geometry codes.

Nonlinear dispersive equations arise as reduced mathematical models from governing equations of mathematical physics, such as the Navier-Stokes and Maxwell equations. These reduced models combine the leading-order balance between nonlinear and dispersive effects present in wave propagation. The existence and stability of coherent structures such as traveling, standing, or periodic wave solutions, and the long-time dynamics near these coherent structures are of great importance. In this talk, I will present some of the ideas (ODE and PDE theory) that one typically employs to define and study the stability of such structures. I will also discuss the models I have investigated for the existence and dynamics of nonlinear waves.