## New Results in Tests of Gravity with Radio Pulsars

We are living in a golden era for testing gravitational physics with precision experiments. This talk will present new results using a variety of tests with radio pulsars. These results will be placed in context of other experiments (including LIGO, EHT etc), and I will demonstrate how pulsars continue to provide unique constraints on gravity and fundamental physics in general, and how they complement other methods.

## Approximating the edit distance to within a constant factor in truly subquadratic time.

## New and old results in the classical theory of minimal and constant mean curvature surfaces in Euclidean 3-space R^3

## Index Theory and Flexibility in Positive Scalar Curve Geometry

## Stability of the Positive Mass Thm

## How to Test String Theory

## Asymptotic spectra and their applications II

Matrix rank is well-known to be multiplicative under the Kronecker product, additive under the direct sum, normalized on identity matrices and non-increasing under multiplying from the left and from the right by any matrices. In fact, matrix rank is the only real matrix parameter with these four properties.

## Notions of Scalar Curvature

## Proto-Neutron Star Winds: Supernova Diversity, Magnetars, and Heavy Element Nucleosynthesis

The mechanism of the explosion of massive stars remains uncertain. I will

discuss aspects of the critical condition for explosion, the observed

supernova diversity, and the connection to gamma-ray bursts and

super-luminous supernovae. I will focus on the first few seconds after

explosion, during the "proto-neutron star" cooling epoch, when a wind

driven by neutrino heating emerges from the cooling neutron star into the

overlying massive stellar progenitor, powering the explosion. I will