# Preprints

## Improved upper bounds in the moving sofa problem

Y. Kallus and D. Romik (show abstract)

## A linear-time algorithm for the maximum-area inscribed triangle in a convex polygon

Y. Kallus (show abstract)

## Locally optimal 2-periodic sphere packings

A. Andreanov and Y. Kallus (show abstract)

## On the records

A. Berdahl, Uttam Bhat, Vanessa Ferdinand, Joshua Garland, Keyan Ghazi-Zahedi, Justin Grana, Joshua A. Grochow, Elizabeth Hobson, Yoav Kallus, Christopher P. Kempes, Artemy Kolchinsky, Daniel B. Larremore, Eric Libby, Eleanor A. Power, and Brendan D. Tracey (show abstract)

## Dynamics of beneficial epidemics

A. Berdahl, C. Brelsford, C. De Bacco, M. Dumas, V. Ferdinand, J. A. Grochow , L. Hébert-Dufresne, Y. Kallus, C. P. Kempes, A. Kolchinsky, D. B. Larremore, E. Libby, E. A. Power, C. A. Stern, and B. D. Tracey (show abstract)

# Published

## On the Form and Growth of Complex Crystals: The Case of Tsai-Type Clusters

J. E. Taylor, E. G. Teich, P. F. Damasceno, Y. Kallus, and M. Senechal (show abstract)

## Paradoxes in Leaky Microbial Trade

Y. Kallus, J. H. Miller, and Eric Libby (show abstract)

Nature Communications 8, 1361 (2017)

1612.03125 10.1038/s41467-017-01628-8

## Free energy of singular sticky-sphere clusters

Y. Kallus and M. Holmes-Cerfon (show abstract)

Physical Review E 95, 022130 (2017)

1605.08678 10.1103/PhysRevE.95.022130

## The random packing density of nearly spherical particles

Y. Kallus (show abstract)

Soft Matter, 12, 4123–4128 (2016)

## The local optimality of the double lattice packing

Y. Kallus and W. Kusner (show abstract)

Discrete Comput Geom 56: 449 (2016)

1509.02241 10.1007/s00454-016-9792-4

## Scaling collapse at the jamming transition

Y. Kallus (show abstract)

Physical Review E 93, 012902 (2016)

1507.02325 10.1103/PhysRevE.93.012902

## When is the ball a local pessimum for covering?

Y. Kallus (show abstract)

Discrete and Computational Geometry 54, 232–245 (2015)

1301.5895 10.1007/s00454-015-9690-1

## Marginal stability in jammed packings: quasicontacts and weak contacts

Y. Kallus and S. Torquato (show abstract)

## The 3-ball is a local pessimum for packing

Y. Kallus (show abstract)

## Jammed lattice sphere packings

Y. Kallus, É. Marcotte, and S. Torquato (show abstract)

## Statistical mechanics of the lattice sphere packing problem

Y. Kallus (show abstract)

## Dense-packing crystal structures of physical tetrahedra

Y. Kallus and V. Elser (show abstract)

## Upper bound on the packing density of regular tetrahedra and octahedra

S. Gravel, V. Elser, and Y. Kallus (show abstract)

## Method for dense packing discovery

Y. Kallus, V. Elser, and S. Gravel (show abstract)

## Dense periodic packings of tetrahedra with small repeating units

Y. Kallus, V. Elser, and S. Gravel (show abstract)