arXiv subjects

Ryan Quinn

Publications and source records attributed to Ryan Quinn.

7 recordsLinked to original sources

arXiv2026

Structured Quotients in Real Homotopy Theory

We equip quotients of Real bordism with the structure of a ring involution, an important source of examples being the truncated Real Brown-Peterson spectra. Motivated by this, we orient Lubin-Tate theory by higher truncated Brown-Peterson spectra, which is a key input for Meier-Shi-Zeng's transchromatic isomorphism theorem. We use these orientations to characterize the higher truncated Brown-Peterson spectra that are equivalent to a form of Lubin-Tate theory after chromatic localization.

math.AT↗

arXiv2026

Structured Real Snaith Equivalences

We give a short proof of the Real Snaith equivalences and multiplicative refinements thereof. The key ingredient is control over structured Real orientations, which we manage through Wilson space theory. In particular, we develop a theory that produces $\mathbb{E}_6$-complex orientations of even periodic $\mathbb{E}_{\infty}$-ring spectra. This machinery can be used to recover an $\mathbb{E}_{2\rho}$-algebra structure on Real Brown-Peterson theory. We apply the Real Snaith theorems to compute $\mathrm{THR}(\mathrm{KU}_{\mathbb{R}})$ and $\mathrm{THR}(\mathrm{MUP}_{\mathbb{R}})$. This requires a norm inverted variant of the Real Snaith theorems, which we prove via the nilpotence theorem.

math.AT↗

arXiv2026

Exploring Feature Extraction Technique Parameters for Acoustic Gunshot Classification

Acoustic gunshot detection is a problem with applications across civilian public safety, military operations, and wildlife conservation, yet the field lacks a rigorous exploration of feature extraction techniques with a focus on generalization to realistic data. The mixed effectiveness of commercial gunshot detection and classification systems indicates an open problem that is not adequately addressed by the current literature. In this paper, we present a systematic investigation of common feature extraction techniques using a dataset of 23,000 gunshot recordings across 85 firearms and 21 calibers. We benchmark three feature extraction techniques with 12 total unique parameter sets using ResNet-18. Our results demonstrate that using the correct feature extraction technique can improve top-1 accuracy by up to 20%, and utilizing the correct parameters for a given feature extraction technique can improve that value by up to 4.7%.

cs.SD↗

arXiv2026

Descriptor: Certus Caliber Classification Gunshot Dataset (C3GD)

In this work, we introduce the Certus Caliber Classification Gunshot Dataset (C3GD), a publicly accessible data set developed for the analysis of firearm muzzle blast sounds. The dataset aims to provide a wide variety of firearms, calibers, cartridges, microphones, and microphone locations with metadata detailed beyond what is currently otherwise available. It comprises more than 8000 field-collected data points from 28 firearms across 16 calibers. Because data collection in the field is costly, much of the existing research has been done using gunshot audio collected from the internet, which increases the risk of low-quality data and label noise. This dataset is primarily focused on caliber classification, but can also be used for gunshot detection, audio separation, and audio signal processing, providing a diversified and real-world reference. The dataset aims to provide enough diversity to be able to generalize to more real-world applications while also providing enough metadata for detailed academic analysis.

cs.SD↗

arXiv2025

Multiplicative Equivariant Thom Spectra & Structured Real Orientations

For strongly even $\mathbb{E}_{\infty}^{C_2}$-rings $E$ we show that any homotopy ring map $\mathrm{MU} \to E^e$ lifts to an $\mathbb{E}_{\rho}$-map $\mathrm{MU}_{\mathbb{R}} \to E$. This refines the Hahn-Shi Real orientations of Lubin-Tate theories $E_n$, the Hirzebruch level-$n$ orientations of $\mathrm{tmf}_1(n)$, and Quillen's idempotent to $\mathbb{E}_\rho$-maps. It allows us to provide the first structured version of $\mathrm{BP}_{\mathbb{R}}$ - we show that it admits an $\mathbb{E}_{\rho}$-algebra structure. Furthermore, we extend these results to larger groups. In particular, for a finite group $C_2 \leq G$ the Hahn-Shi orientation $N_{C_2}^G \mathrm{MU}_{\mathbb{R}} \to E_n$ refines to a $\operatorname{Coind}_{C_2}^G \mathbb{E}_{\rho}$-map, and $N^G_{C_2}\mathrm{BP}_{\mathbb{R}}$ admits a $\operatorname{Coind}_{C_2}^G \mathbb{E}_{\rho}$-algebra structure. Essential to this program is a robust theory of multiplicative equivariant Thom spectra, which we develop using parametrized higher algebra and fibrous patterns - particularly, we provide an equivariant version of Antol\'in-Camarena--Barthel's universal property for multiplicative Thom spectra and use this to deduce a multiplicative equivariant Thom isomorphism. We provide a number of categorical results of independent interest, most notably a distributive monoidal structure on parametrized left module categories.

math.AT↗

arXiv2020

Crowder and Surface Effects on Self-organization of Microtubules

Microtubules are an essential physical building block of cellular systems. They are organized using specific crosslinkers, motors, and influencers of nucleation and growth. With the addition of anti-parallel crosslinkers, microtubule pattern goes through transition from fan-like structures to homogeneous tactoid condensates in vitro. Tactoids are reminiscent of biological mitotic spindles, the cell division machinery. To accomplish these organizations, we use polymer crowding agents. Here we study how altering the properties of the crowders, such as size, concentration, and molecular weight, affect microtubule organization. Using simulations with experiments, we observe a scaling law associated with the fan-like patterns in the absence of crosslinkers. Tactoids formed in the presence of crosslinkers show variable length, depending on the crowders. The subtle differences correlate to individual filament contour length changes, likely due to effects on nucleation and growth of the microtubules. Using quantitative image analysis, we deduce that the tactoids differ from traditional liquid crystal organization, as they are limited in width irrespective of crowders and surfaces, and behave as solid-like condensates.

physics.bio-ph↗

arXiv2019

Spectral properties of light and charm mesons from $N_f=2+1$ anisotropic lattice QCD

We compute temporal correlators and spectral functions for light, open charm and charmonium mesons in the pseudoscalar and vector channel for a range of temperatures below and above the deconfinement transition. The study is carried out using anisotropic lattice QCD with 2+1 dynamical flavours, $a_s=0.123\,$fm and $a_s/a_τ=3.5$. The high-temperature results are benchmarked by comparing them to reconstructed correlators obtained by direct summation of the zero temperature correlator. We use two Bayesian methods to reconstruct the spectral functions: the maximum entropy method and the more recent BR method.

hep-lat↗