1 citations · 1 across the 5 of their papers we have counts for
6 papers
Hilbert modular forms and Galois representations
Ajith Nair, Ajmain Yamin
In this expository article, we present a brief introduction to the theory of Hilbert modular forms and Galois representations, and describe what it means to attach a compatible sys…
SWIF Convergence of Smocked Metric Spaces
M. Dinowitz, H. Drillick, M. Farahzad +2
In this paper we explore a special class of metric spaces called smocked metric spaces and study their tangent cones at infinity. We prove that under the right hypotheses, the resc…
Filtering cohomology of ordinary and Lagrangian Grassmannians
The 2020 Polymath Jr. REU "q-binomials, the Grassmannian group", : +31
This paper studies, for a positive integer , the subalgebra of the cohomology ring of the complex Grassmannians generated by the elements of degree at most . We build in two…
The Checkered Smocked Space and its Tangent Cone
Victoria Antonetti, Maziar Farahzad, Ajmain Yamin
Smocked metric spaces were first defined in arXiv:1906.03403 and it was proved that if a norm on the Euclidean space uniformly estimates the pseudometric of a smocked metric space,…
Smocked Metric Spaces and their Tangent Cones
Christina Sormani, Demetre Kazaras, David Afrifa +11
We introduce the notion of a smocked metric spaces and explore the balls and geodesics in a collection of different smocked spaces. We find their rescaled Gromov-Hausdorff limits a…
Avoiding 3-Term Geometric Progressions in Hurwitz Quaternions
Megumi Asada, Bruce Fang, Eva Fourakis +6
Several recent papers have considered the problem of how large a subset of integers can be without containing any 3-term geometric progressions. This problem has also recently been…