University of Calgary

Taking advantage of Degeneracy in Cone Optimization; Applications to Euclidean Distance Completion Problems including: Sensor Network Localization and Molecular Conformation.The elegant theoretical results for strong duality and strict...

Abstract In the 1960's and 70's, mathematical patterns in Euclidean space were discovered which displayed a high degree of order, but which were not periodic. Later, Daniel Shechtman found physical materials (quasicrystals) which can be modeled by...

Abstract String theories (there are several variants) require a space on which to compactify. This space is typically a Calabi-Yau manifold, but "toy models" which exhibit many essential features can even be low dimensional tori. We will explore how...

Abstract: The Heisenberg limit traditionally provides a lower bound on the phase uncertainty scaling as 1/N, where N is the mean number of photons in the probe. However, this limit has a number of loopholes which potentially might be exploited, to...

Abstract: Fifty years ago, two astronomers, R. Hanbury Brown and R. Q. Twiss, invented a new method to measure the angular diameter of stars, below the limit set by the atmospheric fluctuations. Their proposal prompted a hot debate among physicists...

Abstract On 20 July 1969, millions of people held their breath as they watched, live on television, Neil Armstrong set foot on the Moon. Yet Fox Television has reported that a staggering 20% of Americans have had doubts about the Apollo 11 mission...

Abstract: Squeezing is well understood for harmonic oscillator and spin systems as resulting from ``non-classical’’ correlations between basis states in the Hilbert space. In this talk I will introduce a definition of squeezing for SU(3) systems...

Bio: Henri Darmon specializes in number theory, working on Hilbert's 12th problem and its relation with the Birch-Swinnerton-Dyer conjecture. He is a Fellow of the Royal Society of Canada and currently, a James McGill Professor of Mathematics at...

Abstract: A novel technique used to achieve efficient frequency conversion monolithically in semiconductor is reviewed. It uses Bragg reflection waveguides to obtain monolithic intra-laser cavity parametric processes utilizing c(2). These chip-based...

Modern probability theory, whose foundation is based on the axioms set forth by Kolmogorov, is currently the major tool for performance analysis in stochastic systems. While it offers insights in understanding such systems, probability theory is...