The mind-boggling partial differential equations in many variables and complex variables are a thing to marvel at - which equations appear in many important dynamical systems around the observable universe. The laboratory institute seeks to accurately form these equations, invent methods that would solve them, and maybe, just maybe, generate their particular solutions - we have to try, although in some cases, we must just have answers.
Unique Number Systems have been at the heart of every civilisation. The understanding of the complex field is as unique to our day, as the wonders of electricity - no wonder the coplex conjugate must appear in phase considerations of alternating electricity (pun intended). The Laboratory Institute seeks to advance the abstractions of logic and of number systems, perchance, to create new number systems and explore their sets.
Abstractions of space, geometry and topology, present a pleasant frontier for our exploration, as we seek to map out and describe the fabric of the cosmos, and, maybe, with other laboratory institutes, play about with these properties and fabricate an artificial space! (You see, we are an exciting bunch of people)
Deliver the avantgarde that drives the the civilisation along the frontiers of mathematical abstractions
