Background: The tyrosine kinase inhibitor imatinib mesylate was developed as an inhibitor of the kinase activity of BCR-ABL. However, imatinib also has potent inhibitory activity against the platelet-derived growth factor receptor (PDGFR). Nilotinib is approved for treating patients with chronic myeloid leukemia showing resistance or intolerance to imatinib. Like imatinib, nilotinib selectively...

We discuss two new results on tilings of the plane. In the first, we give sufficient conditions for the tilings associated with an inflation rule to be uniquely ergodic under translations, the conditions holding for the pinwheel inflation rule. In the second result we prove there are matching rules for the pinwheel inflation rule, making the system the first known to have complete rotational sy...

Prosser, J.T. and Carr, M.J., 1987. Po~s volcano, Costa Rica: Geology of the summit region and spatial and temporal variations among the most recent lavas. In: S.N. Williams and M.J. Carr (Editors), Richard E. Stoiber 75th Birthday Volume. J. Volcanol. Geotherm. Res., 33: 131-146. The recent eruptive history of Po~s volcano is described here on the basis of field mapping of the summit area. Thi...

We consider the Einstein/Yang-Mills equations in 3 + 1 space time dimensions with SU(2) gauge group and prove rigorously the existence of a globally defined smooth static solution. We show that the associated Einstein metric is asymptotically flat and the total mass is finite. Thus, for non-abelian gauge fields the Yang/Mills repulsive force can balance the gravitational attractive force and pr...

We describe here the set [BG, BG] of homotopy classes of self-maps of the classifying space BG , for any compact connected simple Lie group G. In particular, we show that two maps ƒ , f : BG —• BG are homotopic if and only if they are homotopic after restricting to the maximal torus of G ; or equivalently if and only if they induce the same homomorphism in rational cohomology. In addition, we i...

We introduce the notion of the automorphic dual of a matrix algebraic group defined over Q . This is the part of the unitary dual that corresponds to arithmetic spectrum. Basic funcional properties of this set are derived and used both to deduce arithmetic vanishing theorems of "Ramanujan" type as well as to give a new construction of automorphic forms. Let G be a semisimple linear algebraic gr...

Presenting to you today is a highlight of my life, but it’s also pretty intimidating, because I know how hard it can be to interest an audience as diverse as you are. I am not like other presidents for whom this office was merely a stepping stone to more exalted honors. I’m stuck as a burn doctor; and this—probably fortunately—will be my only chance to speak my mind. I will begin by saying that...

The Atiyah-Hitchin metric has bounded geodesies which describe bound states of a monopole pair. Introduction. The dynamics of two nonrelativistic BPS monopoles was described by Manton [1] as the geodesic flow on the space of collective coordinates of the monopoles M$ with a special metric found explicitly by Atiyah and Hitchin [2]. Gibbons and Manton [3] studied the asymptotic metric (the Taub-...

Certain solvable extensions of H-type groups provide noncompact counterexamples to a conjecture of Lichnerowicz, which asserted that “harmonic” Riemannian spaces must be rank 1 symmetric spaces. A Riemannian space M with Laplace-Beltrami operator ∆ is called harmonic if, given any function f(x) on M depending only on the distance d(x, x0) from a given point x0, then also ∆f(x) depends only on d...