Browsing Publications  Mathematics, Statistics, and Computer Science by Title
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An Effective Asymptotic Formula for the Stieltjes Constants
(American Mathematical Society, 201101)The Stieltjes constants gamma(k) appear in the coefficients in the regular part of the Laurent expansion of the Riemann zeta function zeta(s) about its only pole at s = 1. We present an asymptotic expression for gamma(k) ... 
Effective Cones of Cycles on Blowups of Projective Space
(Mathematical Sciences Publishers, 20160315)In this paper, we study the cones of higher codimension (pseudo)effective cycles on point blowups of projective space. We determine bounds on the number of points for which these cones are generated by the classes of ... 
Examples of NonLocality
(Association for Symbolic Logic, 200809)We use kappafree but not Whitehead Abelian groups to construct Abstract Elementary Classes (AEC) which satisfy the amalgamation property but fail various conditions on the locality of Galoistypes. We introduce the notion ... 
Extremal higher codimension cycles on moduli spaces of curves.
(London Mathematical Society, 2015)We show that certain geometrically defined higher codimension cycles are extremal in the effective cone of the moduli space Mg,n of stable genus g curves with n ordered marked points. In particular, we prove that codimension ... 
Finitely Approximable Groups and Actions Part I: the RibesZalesskii Property
(Association for Symbolic Logi, 2011)We investigate extensions of S. Solecki’s theorem on closing off finite partial isometries of metric spaces [11] and obtain the following exact equivalence: any action of a discrete group Γ by isometries of a metric space ... 
Finitely Approximate Groups and Actions Part II: Generic Representations
(Association for Symbolic Logic, 201112)Given a finitely generated group Γ, we study the space Isom(Γ,QU) of all actions of Γ by isometries of the rational Urysohn metric space QU, where Isom(Γ, QU) is equipped with the topology it inherits seen as a closed ... 
Fully invariant and verbal congruence relations
(Springer Verlag, 201308)A congruence relation theta on an algebra A is fully invariant if every endomorphism of A preserves theta. A congruence theta is verbal if there exists a variety such that theta is the least congruence of A such that . ... 
Geometric and Analytic Quasiconformality in Metric Measure Spaces
(American Mathematical Society, 201204)We prove the equivalence between geometric and analytic definitions of quasiconformality for a homeomorphism f : X → Y between arbitrary locally finite separable metric measure spaces, assuming no metric hypotheses on ... 
Geometric Optics and Instability for NLS and DaveyStewartson Models
(European Mathematical Society, 201206)We study the interaction of (slowly modulated) high frequency waves for multidimensional nonlinear Schr odinger equations with gauge invariant powerlaw nonlinearities and nonlocal perturbations. The model includes the ... 
The Geometry of the CriticallyPeriodic Curves in the Space of Cubic Polynomials
(AK Peters, 201301)We provide an algorithm for computing the Euler characteristic of the curves in consisting of all polynomials with a periodic critical point of period p in the space of critically marked complex cubic polynomials. The ... 
Global WellPosedness For A System OF KdVType Equations With Coupled Quadratic Nonlinearities
(Duke University Press, 2014)In this paper, coupled systems ut + uxxx + P(u, v)x = 0, vt + vxxx + Q(u, v)x = 0, of KdVtype are considered, where u = u(x, t), v = v(x, t) are realvalued functions and x, t ∈ R. Here, subscripts connote partial ... 
Global wellposedness for a system of KdVtype equations with coupled quadratic nonlinearities.
(Duke University Press, 2014)In this paper, coupled systems ut + uxxx + P(u, v)x = 0, vt + vxxx + Q(u, v)x = 0, of KdVtype are considered, where u = u(x, t), v = v(x, t) are realvalued functions and x, t ∈ R. Here, subscripts connote partial ... 
Ground State Properties of Graphene In HartreeFock Theory
(American Institute of Physics, 201209)We study the HartreeFock approximation of graphene in in  nite volume, with instantaneous Coulomb interactions. First we construct its translationinvariant ground state and we recover the wellknown fact that, due to ... 
A Hanf number for saturation and omission
(Polish Academy of Sciences, Institute of Mathematics, 201104)Suppose t = (T, T1, p) is a triple of two countable theories T ⊆ T1 in vocabularies τ ⊂ τ1 and a τ1type p over the empty set. We show the Hanf number for the property: There is a model M1 of T1 which omits p, but M1 ↾ τ ... 
High Performance Multiple Sequence Alignment System for Pyrosequencing Reads from Multiple Reference Genomes
(Elsevier, 201201)Genome resequencing with short reads generated from pyrosequencing generally relies on mapping the short reads against a single reference genome. However, mapping of reads from multiple reference genomes is not possible ... 
Highlights from the 5th Symposium on Biological Data Visualization: Part 1.
(BMC Bioinformatics, 20150813) 
A humancomputer collaborative workflow for the acquisition and analysis of terrestrial insect movement in behavioral field studies
(SpringerOpen, 201308)The study of insect behavior from video sequences poses many challenges. Despite the advances in image processing techniques, the current generation of insect tracking tools is only effective in controlled lab environments ... 
The Impact of the Exploring Computer Science Instructional Model in Chicago Public Schools
(Institute of Electrical and Electronics Engineers, 2016)As part of the Taste of Computing project, the Exploring Computer Science (ECS) instructional model has been expanded to many high schools in the Chicago Public Schools system. We report on initial outcomes showing that ...