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Cohomological nonvanishing for algebraic fundamental groups of ball quotients
Matthew Stover
https://arxiv.org/abs/2508.20847 https://arxiv.org/pdf/2508.20…

Cohomological nonvanishing for algebraic fundamental groups of ball quotients
Suppose $Γ< \mathrm{PU}(n,1)$ is a cocompact arithmetic lattice of simplest type with profinite completion $\widehatΓ$. This paper proves there is an open subgroup $\widehatΓ_0 \le \widehatΓ$ such that $H^j(\widehatΔ, \mathbb{F}_p)$ is nontrivial for every open subgroup ${\widehatΔ \le \widehatΓ_0}$, $j \le 2n$, and sufficiently large prime $p$. If $n \ge 2$, nonvanishing is new for all $j \ge 2$. Consequently, the virtual cohomological dimension of $\widehatΓ$ is at least $2n$, improvi…

Stafford (back) throws, set to practice Monday https://www.espn.com/nfl/story/_/id/45935757/rams-matthew-stafford-throws-facility-practice-monday

What Do Bouncing Balls Tell Us About the Universe? A Journey into Billiard Systems
Weiqi Chu, Matthew Dobson
https://arxiv.org/abs/2508.18519 https://arxiv…

What Do Bouncing Balls Tell Us About the Universe? A Journey into Billiard Systems
Have you ever played or watched a game of pool? If so, you have already seen a billiard system in action. In mathematics and physics, a billiard system describes a ball that moves in straight lines and bounces off walls. Despite these simple rules, billiard systems can produce remarkably rich behaviors: some table shapes generate regular, periodic patterns, while others give rise to complete chaos. Scientists also study what happens when we shrink the ball down to the size of an electron to a w…

Stafford (back) throws, set to practice Monday https://www.espn.com/nfl/story/_/id/45935757/rams-matthew-stafford-throws-facility-practice-monday

Methods for Estimating Neutron Star Parameters using Multiple Mechanisms for Gravitational Wave Emission Associated with Pulsar Glitches
Matthew Ball, Raymond Frey
https://arxiv.org/abs/2508.15965

Methods for Estimating Neutron Star Parameters using Multiple Mechanisms for Gravitational Wave Emission Associated with Pulsar Glitches
Several mechanisms for gravitational wave (GW) emission are believed to be associated with pulsar glitches. This emission may be split between long duration continuous waves and short duration bursts. In the Advanced LIGO era, searches for GWs associated with pulsar glitches have only considered continuous wave emission. The increasing sensitivity of the detectors and the prospects for future detectors suggest that astrophysically motivated analyses involving multiple mechanisms may be possible…

A Distributed Asynchronous Generalized Momentum Algorithm Without Delay Bounds
Ellie Pond, Yichen Zhao, Matthew Hale
https://arxiv.org/abs/2508.08218 https://

A Distributed Asynchronous Generalized Momentum Algorithm Without Delay Bounds
Asynchronous optimization algorithms often require delay bounds to prove their convergence, though these bounds can be difficult to obtain in practice. Existing algorithms that do not require delay bounds often converge slowly. Therefore, we introduce a novel distributed generalized momentum algorithm that provides fast convergence and allows arbitrary delays. It subsumes Nesterov's accelerated gradient algorithm and the heavy ball algorithm, among others. We first develop conditions on the par…