Noah Kravitz

activity

20182026

most citedStack-sorting for Words

5 citations · 10 across the 15 of their papers we have counts for

collaborators

20 papers

math.HO2026

All Quiet on the AI Front: The Future of Undergraduate Math Research, Viewed from Duluth

Colin Defant, Eliot Hodges, Noah Kravitz

In this time of uncertainty and anxiety about artificial intelligence (AI) in mathematics, it is more important than ever to reflect on how we can prepare the next generation of pr…

math.CO2026

Sets with Few Subset Sums

Ruben Carpenter, Colin Defant, Noah Kravitz

It is a classical fact that every $n$ -element set of positive reals has at least $(2 n + 1) + 1$ distinct subset sums, with equality exactly for homogeneous arithmetic progressi…

math.CO2026

On the number of permutation-twisted dot products

Ruben Carpenter, Colin Defant, Noah Kravitz

Let $K$ be a field of characteristic $0$ . For each choice of distinct $a_{1}, \dots, a_{n} \in K$ and distinct $b_{1}, \dots, b_{n} \in K$ , consider the sum $S=\…

math.CO2024

Rainbow Stackings of Random Edge-Colorings

Noga Alon, Colin Defant, Noah Kravitz

A rainbow stacking of $r$ -edge-colorings $χ_{1}, \dots, χ_{m}$ of the complete graph on $n$ vertices is a way of superimposing $χ_{1}, \dots, χ_{m}$ so that no edges of the same color ar…

math.CO2024★ 1 cited

Bender--Knuth Billiards in Coxeter Groups

Grant Barkley, Colin Defant, Eliot Hodges +2

Let $(W, S)$ be a Coxeter system, and write $S = {s_{i} : i \in I}$ , where $I$ is a finite index set. Fix a nonempty convex subset $L$ of $W$ . If $W$ is of type $A$ , then $\mat…

math.CO2023

Ordering Candidates via Vantage Points

Noga Alon, Colin Defant, Noah Kravitz +1

Given an $n$ -element set $C \subseteq R^{d}$ and a (sufficiently generic) $k$ -element multiset $V \subseteq R^{d}$ , we can order the points in $C$ by ranking each point $…