3 papers
math.NT2015
The Conway-Sloane calculus for 2-adic lattices
Daniel Allcock, Itamar Gal, Alice Mark
We motivate and explain the system introduced by Conway and Sloane for working with quadratic forms over the 2-adic integers, and prove its validity. Their system is far better for…
math.NT2012
On the compositum of all degree d extensions of a number field
Itamar Gal, Robert Grizzard
Let k be a number field, and denote by k^[d] the compositum of all degree d extensions of k in a fixed algebraic closure. We first consider the question of whether all algebraic ex…
cs.CG2012
Robust statistics, hypothesis testing, and confidence intervals for persistent homology on metric measure spaces
Andrew J. Blumberg, Itamar Gal, Michael A. Mandell +1
We study distributions of persistent homology barcodes associated to taking subsamples of a fixed size from metric measure spaces. We show that such distributions provide robust in…