a t e M d f t m i n m d s a w ( T In 1794, Johan Gadolin, a Finnish scientist, isolated a new rare earth metal from a black, heavy mineral found at a quarry on an island near Stockholm. Originally named ytterbia, in honor of the nearby village, the substance soon acquired the name gadolinite in honor of Johan, and subsequently gadolinium. Gadolin’s surname, the Hebrew word for “great,” was chos...

Johan Karlsson, To agree or not to agree-on the design and analysis of real-time consensus protocols

Let g be a finite dimensional complex semi-simple Lie algebra with Weyl group W and simple reflections S. For I ⊆ S let g I be the corresponding semi-simple subalgebra of g. Denote by W I the Weyl group of g I and let w • and w I • be the longest elements of W and W I , respectively. In this paper we show that the answer to Kostant's problem, i.e. whether the universal enveloping algebra surjec...

In this thesis we develop the summation formula ∑ ad−bc=1 c>0 f ( a b c d ) = “main terms”+ ∑ m,n 6=0 1 π ∫ ∞ −∞ σ2ir(|m|)σ2ir(|n|)F (r;m,n)dr |nm||ζ(1 + 2ir)|2