Nuclei are at the heart of all palpable matter.11. National Research Council, Nuclear Physics: Exploring Heart Matter, Academies Press (2013). Although we understand properties things touch every day—from carbon in our bodies to lanthanum cell phones—so much more may be revealed by investigating elements limits their stability. Those become apparent when too many neutrons or protons added a nuc...

In an effort to promote communication between the formal and phenomenological branches of the high-energy theory community, we provide a description of some important issues in supersymmetric and string phenomenology. We describe each within the context of string constructions, illustrating them with specific examples where applicable. Each topic culminates in a set of questions that we believe...

In the past few decades, nonstandard methods, as a branch of mathematical logic, have been successfully applied to obtain new results in additive/combinatorial number theory (cf. [BJ, Ji1, Ji2, Ji3, Ji4, Ji5, Ji6, JK, Le1, Le2, Le3, Le4]). Although the nonstandard techniques in these applications are elementary from a nonstandard analyst’s point of view, it is extremely difficult for a reader w...

The purpose of this paper is to give the algebraic topological background for elliptic cohomology theory and to pose some number theoretic problems suggested by these concepts. Algebraic topologists study functors from the category of spaces to various algebraic categories. In particular there are functors to the category of graded rings called multiplicative generalized cohomology theories. (A...

This is an exposition of some of the aspects of quantum computation and quantum information that have connections with operator theory. After a brief introduction, we discuss quantum algorithms. We outline basic properties of quantum channels, or equivalently, completely positive trace preserving maps. The main theorems for quantum error detection and correction are presented and we conclude wi...