In mammalian tissues, ultraweak chemiluminescence arising from biomolecule oxidation has been attributed to the radiative deactivation of singlet molecular oxygen [O2 ((1)Δg)] and electronically excited triplet carbonyl products involving dioxetane intermediates. Herein, we describe evidence of the generation of O2 ((1)Δg) in aqueous solution via energy transfer from excited triplet acetone. Th...

We consider g coincident M-5-branes on top of each other, in the KK monopole background Q of multiplicity N . The worldvolume of each M-5-brane is supposed to be given by the local product of the four-dimensional spacetime R and an elliptic curve. In the coincidence limit, all these curves yield a single (Seiberg-Witten) hyperelliptic curve Σg, while the gauge symmetry is enhanced to U(N). We m...

These are notes for a talk I gave in the Group theory seminar during the Fall of 2007 at the University of Wisconsin. The goal is to introduce the reader to the method of sieving from analytic number theory in the context of arithmetic groups. We do this by discussing properties of Random 3-Manifolds which were studied by Dunfeld and Thurston [2]. The primary source for this talk is Kowalski’s ...

An elementary molecular process can be characterized by the flow of particles (i.e., electrons and nuclei) that compose the system. The flow, in turn, is quantitatively described by the flux (i.e., the time-sequence of maps of the rate of flow of particles though specified surfaces of observation) or, in more detail, by the flux density. The quantum theory of concerted electronic and nuclear fl...

Let T be a tree. Given x, y ∈ V (T ), x →T y denotes the unique path from x to y in T . We denote by distT (x, y) the number of edges on the path x →T y; note that if x = y then distT (x, y) = 0. Definition S1 (Gene-Losses). Given a DGS-reconciliation α = 〈MD,MG , Σ, ΣG ,∆D,∆G , Θ,Ξ, τ〉 for D,G and S, let g ∈ I(G) and {g′, g′′} = Ch(d). The number of gene-losses GeneLossα(g) at node g, is defin...

In this article we explore a connection between finite covers of surfaces and the Teichmüller polynomial of a fibered face of a hyperbolic 3–manifold. We consider the action of a homological pseudo-Anosov homeomorphism ψ on the homology groups of a class of finite abelian covers of a surface Σg,n. Eigenspaces of the deck group actions on these covers are naturally parametrized by rational point...

Metastable N2 molecules produced by electron impact on N2 are detected using a unique solid nitrogen matrix detector. The time-of-flight system is shown to be selectively sensitive to a(1)Πg and (1)Σg (+) or (1)Γg metastable species. The latter species had been identified theoretically previously but was detected experimentally for the first time in the present investigation. Their identificati...

We study principles of the form: if a name σ is forced to have certain property φ, then there ground model filter g such that σg satisfies φ. prove general correspondence connecting these forcing axioms. Special cases main theorem are: Any axiom can be expressed as principle. For instance, PFA equivalent to: A principle for rank 1 names (equivalently, nice names) subsets ω1. 2 sets reals. λ-bou...

This paper reports an investigation of the stability and dissociation dynamics of the low-lying singlet and triplet states of ozone (O3) using coincident photoelectron and photofragment translational spectroscopy. These experiments provide an upper limit of 0.5 μs for the lifetime of the low-lying excited states of O3. The A2 and B2 states dissociate with nearly all available energy appearing i...

of the Dissertation Applications of the Seiberg-Witten equations to the Differential Geometry of non-compact Kähler manifolds by Ilya Elson Doctor of Philosophy in Mathematics Stony Brook University 2014 Soon after the introduction of the Seiberg-Witten equations, and their magnificent application to the differential topology of 4manifolds, LeBrun [LeB95a] used these equations to study differen...