about me

meow

a row of the mayer–vietoris sequence for cat-mology

hi! i’m david owen horace cutler, an undergraduate studying mathematics at tufts university.

art by catherine dileo .

download cv updated aug. 2025

research interests

i am interested in a variety of geometric subjects. one possible presentation of my interests looks like the following graph:

triangle of research interests a triangle with vertices complex geometry, convex geometry, and metric geometry, with two-way arrows along each edge, together with geometric analysis a base-length to the right of complex geometry and geometric group theory a base-length to the right of metric geometry, each connected by a two-way arrow to its corresponding vertex. complex geometry convex geometry metric geometry geometric analysis geometric group theory

i view these subfields as motivically connected: they either benefit greatly from perspectives in adjacent areas, or exist as the completion of a desire to study one thing through the lens of another.

this interconnectedness is what especially interests me; in this sense, my math is more philosophically motivated than subfield-first.

papers

research publications

The Hausdorff distance and metrics on toric singularity types (with A. Aitokhuehi, B. Braiman, T. Darvas, M. Deaton, P. Gupta, J. Horsley, V. Pidaparthy, J. Tang), Bull. Sci. Math. 204 (2025), art. 103714, arXiv:2411.11246

manuscripts, other papers, etc.

Cutting a pancake using an exotic knife (with N. J. A. Sloane), in preparation

notes and talks

Hölder estimates for the Hausdorff distance and a quasi-metric, AMS–MAA–SIAM Special Session on Research in Mathematics by Undergraduates, Joint Mathematics Meetings, jan. 2025 [ PDF ]

Manifolds, mixed volumes, and a quasi-metric, Tufts Math Monday Meeting, oct. 2024

Counterexamples in measure, Tufts Math Monday Meeting, mar. 2024

contact

email: david.cutler@tufts.edu