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![[2606.02616] Mathematics of Spacetime: A Guided Tour Through The Underlying Differential Topology and Differential Geometry](/static/img/curated/desks/afbytes-tech.png)
Abstract page for arXiv paper 2606.02616: Mathematics of Spacetime: A Guided Tour Through The Underlying Differential Topology and Differential Geometry
Abstract page for arXiv paper 2606.02758: Theoretical Aspects of Lie Groupoid and Lie Algebroid Equivariant Convolutional Neural Networks
Abstract page for arXiv paper 2606.02856: Geometric Routing in Geometric Inhomogeneous Random Graphs
Abstract page for arXiv paper 2606.03983: Cylindrical generalized Ricci solitons in three dimensions
Abstract page for arXiv paper 2407.10082: On the blow-up formula of the Chow weights for polarized toric manifolds
Abstract page for arXiv paper 2102.01221: Distributional Properties of Nearest-Site Angular Distances on the Sphere
Abstract page for arXiv paper 2606.03176: A note on the pluriclosed flow on balanced manifolds with $c_1=0$
Abstract page for arXiv paper 2606.03472: Planes in quadratic 4-space and associated shapes of lattices
Abstract page for arXiv paper 2606.03616: Fractal anti-tori
Abstract page for arXiv paper 2606.03205: Geometric Bounds on the Finite-Time Performance of Active Machines
Abstract page for arXiv paper 2606.02879: Direct Informed Sampling on Riemannian Manifolds via Loewner Order Lower Bounds
Abstract page for arXiv paper 2606.03279: A Geometric Lens on Physics-Aligned Data Compression
Abstract page for arXiv paper 2606.02496: Timelike ideal boundary of non-positively curved Lorentzian spaces
Abstract page for arXiv paper 2606.02570: Stochastic completeness for landmark space
Abstract page for arXiv paper 2208.13855: Determining a Points Configuration from a Subset of the Pairwise Distances
Abstract page for arXiv paper 2606.02309: Measurement Geometry and Design for Trustworthy Generative Inverse Problems
I was out of work last summer and wrote six books on physics under a pseudonym which no one read (apart from pity buys from family, thank you), after...
Abstract page for arXiv paper 2605.30875: Cylinders in Fano threefolds of genus 9 and 10
Abstract page for arXiv paper 2605.30927: Translation invariant area measures on convex bodies
Abstract page for arXiv paper 2410.17214: Fréchet Means in Infinite Dimensions
Abstract page for arXiv paper 2509.05711: An improved lower bound for star-shaped Kakeya sets
Abstract page for arXiv paper 2605.30373: Apple-Peel Unfolding in Three and Four Dimensions: Spiral and Zonal Selection Rules
Last major Update: 21.10.2013 Github repo that contains the presented code in this post. Introduction In this article I will present you a very simple and in no...
Here is a puzzle from Catriona Shearer. Find the area ratio of the shaded semi-circles to the circle which they fit in. The bases of the semi-circles are...
A mathematician found the most efficient way to fold paper into a doughnutlike shape.
I recently showed you that if you take the regular icosahedron: considered in a coordinate system based on the golden ratio, and then replace √5 by -√5 in a...
Abstract page for arXiv paper 2302.14032: $L^{2}$-Hodge theory on Complete Almost Kähler Manifolds and the Hopf Conjecture
Abstract page for arXiv paper 2605.27669: Stacky geometry and logarithmic topology of transversely affine foliations
Abstract page for arXiv paper 2605.28019: Projective K3 Surfaces with integral Zariski decompositions
Abstract page for arXiv paper 2605.28470: Line, Spiral, Dense in Space