Related papers: The telescopic construction; a microsurvey
In this paper, we study connections between the structure of a group and the structure of the group (under pointwise product) of its polynomial functions.
We give an interpretation of the construction of torsors from preceding work (Bertram, Kinyon: Associative Geometries. I, J. Lie Theory 20) in terms of classical projective geometry. For the Desarguesian case, this leads to a reformulation…
This note gives an informal overview of the proof in our paper "Borel Conjecture and Dual Borel Conjecture", see arXiv:1105.0823.
Results of the 2010 eclipse campaign are described, and preliminary interpretations proposed. These include photometric, interferometric, spectroscopic, astrometric and polarimetric observational results. Next steps, along with continued…
A way to add an extra dimension is briefly discussed.
We study toposes of actions of monoids on sets. We begin with ordinary actions, producing a class of presheaf toposes which we characterize. As groundwork for considering topological monoids, we branch out into a study of supercompactly…
We present a review of selected topics concerning the creation and evolution of child universes, together with a concise account of some recent progress in the field.
The goal of this note is to provide a constructive version of the proof of local structure of etale algebras.
We survey different perspectives on the stochastic localization process of Eldan, a powerful construction that has had many exciting recent applications in high-dimensional probability and algorithm design. Unlike prior surveys on this…
This is a brief survey of recent results related to austere submanifolds, mainly based on the papers [24,25].
A detailed numerical procedure has been developed to simulate the mechanical configurations and optical properties of Imaging Atmospheric Cerenkov Telescope systems. To test these procedures a few existing ACT arrays are simulated. First…
We develop a simple, fast and predictive model of the hierarchical formation of galaxies which is in quantitative agreement with observations. Comparing simulations with observations we place constraints on the density of the universe and…
This paper describes some of the ideas used in the development of our work on small gaps between primes.
This review discusses the structure and evolution of the Milky Way, in the context of opportunities provided by asteroseismology of red giants. The review is structured according to the main Galactic components: the thin disk, thick disk,…
We study several properties of expansive group actions on metric spaces and obtain relation between expansivity for subgroup and group actions. Through counter examples necessity of hypothesis are justified. We also study expansivity of…
A condensed survey of various aspects of LEP 1 physics is presented with a critical examination of the ingredients that are available for theoretical predictions. A prototype of comparisons for 2f calculations can be found in…
Based on a modified version of Abramov-Petkov\v{s}ek reduction, a new algorithm to compute minimal telescopers for bivariate hypergeometric terms was developed last year. We investigate further in this paper and present a new argument for…
An informal discussion of how the construction problem in algebraic geometry motivates the search for formal proof methods. Also includes a brief discussion of my own progress up to now, which concerns the formalization of category theory…
This brief note gives a survey on results relating to existence of closed points on schemes, including an elementary topological characterization of the schemes with (at least one) closed point.
There are various concepts of structure preserving mappings in geometry. It is the aim of the present paper to give a survey on geometrical characterizations of some of those mappings. We discuss the results for projective spaces in some…