Research Assistant

Job description / Role

Job Description
The main problem on which I am going to work with the help of RA is as follows. In my previous work on the vector invariants of the exceptional simple group of type G_2 acting on several copies of octonions, I described the generators of the corresponding rings of invariants.

The next step would be to describe separating invariants of exceptional simple group F_4 acting on several copies of Albert algebra (the simple 27-dimensional Jordan algebra). During the last decade such kind of problems is under intensive investigating by many experts in the computational invariant theory of algebraic groups and Lie groups. So, any nontrivial contribution to this area will be highly estimated.

So, the minimal requirement to RA is to be experienced in the theory of algebraic groups over any infinite field of arbitrary characteristic.

As for possible extension and application, I plan to generalize this work for the simple algebraic supergroups, since it fits the principal aim of my start-up grant "Harish-Chandra pairs method for group superschemes and generalized Schur superalgebras", i.e. the investigation of group superschemes and algebraic supergroups as well as some related superalgebras.

Requirements

Minimum Qualification
To be familiar with basic fact in algebraic geometry, the theory of algebraic groups and invariant theory.

Preferred Qualification
To be experienced in the theory of algebraic groups, the theory of representations of algebraic groups and their invariants

About the Company

Founded in 1976 by the late Sheikh Zayed Bin Sultan Al Nahyan, UAEU is a comprehensive, research-intensive university enrolling about 14,000 Emirati and international students. As the UAE’s flagship university, UAEU offers a full range of accredited, high-quality graduate and undergraduate programs through nine Colleges: Business and Economics; Education; Engineering; Food and Agriculture; Humanities and Social Sciences; IT; Law; Medicine and Health Sciences; and Science. With a distinguished international faculty, state-of-the art new campus, and full range of student support services, UAEU offers a living-learning environment that is unmatched in the UAE.

As a research-intensive university of international stature, UAEU works with its partners in industry to provide research solutions to challenges faced by the nation, the region, and the world. The University has established research centers of strategic importance to the country and the region which are advancing knowledge in critical areas ranging from water resources to cancer treatments. UAEU is currently ranked the number one research university in the GCC, number two in the Arab World, and #370 globally.

UAEU’s academic programs have been developed in partnership with employers, so our graduates are in high demand. UAEU alumni hold key positions in industry, commerce, and government throughout the region. Our continuing investments in facilities, services, and staff ensure that UAEU will continue to serve as a model of innovation and excellence.