Caleb Marshall

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20242026

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math.CA2026

Finite Good Witnesses for Generalized Curve Projections at the Rectifiable Endpoint

Caleb Marshall

For a $1$ -rectifiable set $E \subset R^{d}$ of positive length, a theorem of Federer shows that, among any $d$ linearly independent orthogonal projections of $E$ , at least o…

math.CA2026

Applications of Nonlinear Projections to Rectifiable 1-sets

Rosemarie Bongers, Paige Bright, Caleb Marshall +1

Projection theorems in Euclidean space provide a fundamental link between the geometric structure of a set and the size of its lower-dimensional images. For 1-rectifiable sets in $…

math.NT2026

Lower bounds for mask polynomials with many cyclotomic divisors

Gergely Kiss, Izabella Åaba, Caleb Marshall +1

Given a nonempty set $A \subset N \cup {0}$ , define the mask polynomial $A (X) = \sum_{a \in A} X^{a}$ . Suppose that there are $s_1,\dots,s_k\in\nn\setminus\{1\}$ such that the…