arXiv subjects

Jacob Gross

Publications and source records attributed to Jacob Gross.

9 recordsLinked to original sources

arXiv2026

Not Another EHR: Reimagining Physician Information Needs with Generative AI Technology

Electronic health records (EHRs) have improved data accessibility but have also introduced cognitive burden for physicians, given the sheer volume and complexity of the data involved. Advances in large language models (LLMs) create new opportunities to rethink how clinicians interact with medical data through dynamic, adaptive interfaces. In this position paper, we explore how generative AI can support physicians' information needs by enabling more dynamic interactions with patient data. Through semi-structured interviews with internal physicians at Microsoft, we identify key challenges in data navigation and synthesis, and characterize clinicians' information needs during diagnostic workflows. We further examine how physicians conceptualize AI can help their work process and how these mental models shape expectations for interaction and trust. Based on these insights, we discuss design considerations for generative user interfaces that support clinician-centered workflows.

cs.HC↗

arXiv2021

Vertex F-algebra structures on the complex oriented homology of H-spaces

We give a topological construction of graded vertex F-algebras that generalizes Joyce's vertex algebra to complex-oriented homology. Given an H-space X with a BU(1)-action, a certain choice of K-theory class, and a complex oriented homology theory E, we build a graded vertex F-algebra structure on the homology $E_*(X)$ where F is the formal group law associated with E.

math.KT↗

arXiv2020

Universal structures in $\mathbb C$-linear enumerative invariant theories

An enumerative invariant theory in Algebraic Geometry, Differential Geometry, or Representation Theory, is the study of invariants which 'count' $\tau$-(semi)stable objects $E$ with fixed topological invariants $[E]=\alpha$ in some geometric problem, using a virtual class $[{\cal M}_\alpha^{\rm ss}(\tau)]_{\rm virt}$ in some homology theory for the moduli spaces ${\cal M}_\alpha^{\rm st}(\tau)\subseteq{\cal M}_\alpha^{\rm ss}(\tau)$ of $\tau$-(semi)stable objects. Examples include Mochizuki's invariants counting coherent sheaves on surfaces, Donaldson-Thomas type invariants counting coherent sheaves on Calabi-Yau 3- and 4-folds and Fano 3-folds, and Donaldson invariants of 4-manifolds. We make conjectures on new universal structures common to many enumerative invariant theories. Such theories have two moduli spaces ${\cal M},{\cal M}^{\rm pl}$, where the second author gives $H_*({\cal M})$ the structure of a graded vertex algebra, and $H_*({\cal M}^{\rm pl})$ a graded Lie algebra, closely related to $H_*({\cal M})$. The virtual classes $[{\cal M}_\alpha^{\rm ss}(\tau)]_{\rm virt}$ take values in $H_*({\cal M}^{\rm pl})$. Defining $[{\cal M}_\alpha^{\rm ss}(\tau)]_{\rm virt}$ when ${\cal M}_\alpha^{\rm st}(\tau)\ne{\cal M}_\alpha^{\rm ss}(\tau)$ (in gauge theory, when the moduli space contains reducibles) is a difficult problem. We conjecture that there is a natural way to define $[{\cal M}_\alpha^{\rm ss}(\tau)]_{\rm virt}$ in homology over $\mathbb Q$, and that the resulting classes satisfy a universal wall-crossing formula under change of stability condition $\tau$, written using the Lie bracket on $H_*({\cal M}^{\rm pl})$. We prove our conjectures for moduli spaces of representations of quivers without oriented cycles. Our conjectures in Algebraic Geometry using Behrend-Fantechi virtual classes are proved in the sequel arXiv:2111.04694.

math.AG↗

arXiv2019

The homology of moduli stacks of complexes

We compute the rational homology of the moduli stack $\mathcal{M}$ of objects in the derived category of certain smooth complex projective varieties $X$ including toric varieties, flag varieties, curves, surfaces, and some 3- and 4-folds. We identify Joyce's vertex algebra construction on $H_\ast(\mathcal{M},\mathbb{Q})$ with a generalized super-lattice vertex algebra associated to $K^0_{\rm top}(X^{\rm an}) \oplus K^1_{\rm top}(X^{\rm an})$.

math.AG↗

arXiv2019

Multiwavelength Study of the X-Ray Bright Supernova Remnant N300-S26 in NGC 300

We present a multiwavelength examination of the supernova remnant (SNR) S26 in the nearby galaxy NGC 300 using data from Chandra X-ray Observatory, XMM-Newton X-ray Observatory, Hubble Space Telescope (HST), the Very Large Array, and the Australia Telescope Compact Array. We simultaneously fit all of the available X-ray data with a thermal plasma model and find a temperature of $0.77 \pm 0.13$ keV with a hydrogen column density of ($9.7^{+6.4}_{-4.8}$)$\times 10^{20}$ cm$^{-2}$. HST imaging allows us to measure a semimajor axis of $0.78 \pm 0.10$ arcsec ($7.5 \pm 1.0$ pc) and a semiminor axis of $0.69^{+0.14}_{-0.12}$ arcsec ($6.7^{+1.2}_{-1.4}$ pc). This precise size helps to constrain the age and velocity of the shock to be ($3.3^{+0.7}_{-0.6}$)$\times 10^{3}$ yr and $411^{+275}_{-122}$ km s$^{-1}$. We also fit photometry of the surrounding stars to infer the age and mass of the progenitor star to be $8 \pm 1$ Myr and $25^{+1}_{-5}$ M$_{\odot}$. Based on measured radio properties of the source and assuming equipartition, the estimated radio luminosity of $\sim 1.7 \times 10^{34}$ erg s$^{-1}$ over the $10^{8}-10^{11}$ Hz frequency range results in a minimum magnetic field associated with this SNR of $0.067$ mG and the minimum energy needed to power the observed synchrotron emission of $1.5 \times 10^{49}$ erg. The size and temperature of N300-S26 appear to be similar to the Galactic SNR G311.5-0.3 except that G311.5-0.3 has a significantly lower X-ray luminosity, is older, and has a slower shock velocity.

astro-ph.HE↗

arXiv2018

Orientability of moduli spaces of Spin(7)-instantons and coherent sheaves on Calabi-Yau 4-folds

This paper concerns orientability of moduli spaces of Spin(7)-instantons on compact 8-manifolds $X$ with Spin(7)-structure for the Lie groups SU($m$) and U($m$), and of moduli spaces of coherent sheaves on Calabi-Yau 4-folds. Such orientations are needed to define enumerative invariants 'counting' Spin(7) instantons, or coherent sheaves on Calabi-Yau 4-folds $X$. The previous version of the paper, version 2, published in Advances in Mathematics 368 (2020), claimed to prove all these moduli spaces are orientable. VERSION 3 BEGINS WITH AN ERRATUM. THERE IS A MISTAKE IN THE PROOF OF THEOREM 1.11 OF VERSION 2, AND THE THEOREM ITSELF, ONE OF OUR MAIN RESULTS, IS FALSE. THE 8-MANIFOLD SU(3) IS A COUNTEREXAMPLE. COROLLARIES 1.12 AND 1.17 OF VERSION 2 DEPEND ON THEOREM 1.11, AND SO MAY ALSO BE FALSE, THOUGH WE DO NOT HAVE COUNTEREXAMPLES. OUR OTHER MAIN RESULT, THEOREM 1.15, IS UNAFFECTED BY THE MISTAKE. THE AUTHORS APOLOGIZE FOR THIS. Joyce-Upmeier arXiv:2503.20456 (197 pages) gives a new theory for studying orientability of moduli spaces using 'bordism categories'. Amongst other results they prove corrected versions of Theorem 1.11 and Corollaries 1.12 and 1.17, which hold with an extra assumption on $H^3(X,\mathbb Z)$. In version 3, we highlight and explain the mistakes, but we do not correct them, as this would take many pages. Except for Theorem 1.15, readers are advised to read, and cite, Joyce-Upmeier arXiv:2503.20456 instead of this paper.

math.DG↗

arXiv2017

Supernova Remnants in M33: X-ray Properties as Observed by XMM-Newton

We have carried out a study of the X-ray properties of the supernova remnant (SNR) population in M33 with XMM-Newton, comprising deep observations of 8 fields in M33 covering all of the area within the D$_{25}$ contours, and with a typical luminosity of 7.1$\times$10$^{34}$ erg s$^{-1}$ (0.2-2.0 keV) . Here we report our work to characterize the X-ray properties of the previously identified SNRs in M33, as well as our search for new X-ray detected SNRs. With our deep observations and large field of view we have detected 105 SNRs at the 3$\sigma$ level, of which 54 SNRs are newly detected in X-rays, and three are newly discovered SNRs. Combining XMM-Newton data with deep Chandra survey data allows detailed spectral fitting of 15 SNRs, for which we have measured temperatures, ionization timescales, and individual abundances. This large sample of SNRs allows us to construct an X-ray luminosity function, and compare its shape to luminosity functions from host galaxies of differing metallicities and star formation rates to look for environmental effects on SNR properties. We conclude that while metallicity may play a role in SNR population characteristics, differing star formation histories on short timescales, and small-scale environmental effects appear to cause more significant differences between X-ray luminosity distributions. In addition, we analyze the X-ray detectability of SNRs, and find that in M33 SNRs with higher [SII]/H$\alpha$ ratios, as well as those with smaller galactocentric distances, are more detectable in X-rays.

astro-ph.HE↗

arXiv2016

The Effect of Variability on X-Ray Binary Luminosity Functions: Multiple Epoch Observations of NGC 300 with Chandra

We have obtained three epochs of Chandra ACIS-I observations (totaling $\sim$184 ks) of the nearby spiral galaxy NGC~300 to study the logN-logS distributions of its X-ray point source population down to $\sim$2$\times$10$^{-15}$ erg s$^{-1}$ cm$^{-2}$ in the 0.35-8 keV band (equivalent to $\sim$10$^{36}$ erg s$^{-1}$). The individual epoch logN-logS distributions are best described as the sum of a background AGN component, a simple power law, and a broken power law, with the shape of the logN-logS distributions sometimes varying between observations. The simple power law and AGN components produce a good fit for "persistent" sources (i.e., with fluxes that remain constant within a factor of $\sim$2). The differential power law index of $\sim$1.2 and high fluxes suggest that the persistent sources intrinsic to NGC~300 are dominated by Roche lobe overflowing low mass X-ray binaries. The variable X-ray sources are described by a broken power law, with a faint-end power law index of $\sim$1.7, a bright-end index of $\sim$2.8-4.9, and a break flux of $\sim$8$\times10^{-15}$ erg s$^{-1}$ cm$^{-2}$ ($\sim$4$\times10^{36}$ erg s$^{-1}$), suggesting they are mostly outbursting, wind-fed high mass X-ray binaries, although the logN-logS distribution of variable sources likely also contains low-mass X-ray binaries. We generate model logN-logS distributions for synthetic X-ray binaries and constrain the distribution of maximum X-ray fluxes attained during outburst. Our observations suggest that the majority of outbursting X-ray binaries occur at sub-Eddington luminosities, where mass transfer likely occurs through direct wind accretion at $\sim$1-3% of the Eddington rate.

astro-ph.HE↗

arXiv2015

Energy-Dependent Orbital Phases in NGC 300 X-1

NGC~300 X-1 is a Wolf Rayet + black hole binary that exhibits periodic decreases in X-ray flux. We present two new observations of NGC~300 X-1 from the Chandra X-ray Observatory (totaling $\sim$130 ks) along with ACS imaging data from the Hubble Space Telescope. We observe significant short-term variability in the X-ray emission that is inconsistent with an occultation by the donor star, but is consistent with structure in the outer accretion disk or the wind of the donor star. We simultaneously fit a partially-covered disk blackbody and Comptonized corona model to the eclipse egress and non-eclipsing portions of the X-ray spectrum. We find that the only model parameters that varied between the eclipse egress and non-eclipsing portions of the spectra were the partial covering fraction ($\sim$86% during eclipse egress and $\sim$44% during non-eclipse) and absorbing column ($\sim$12.3$\times10^{22}$ cm$^{-2}$ during eclipse egress, compared to $\sim$1.4$\times10^{22}$ cm$^{-2}$ during non-eclipse). The X-ray spectra are consistent with the movement of the X-ray source through the dense stellar winds of the companion star. From our new HST imaging, we find the WR star within the X-ray error circle, along with additional optical sources including an AGB star and an early-type main sequence star. Finally, we use our egress measurement to rephase previous radial velocity measurements reported in the literature, and find evidence that the velocities are strongly affected by the ionization of the wind by the compact object. Thus, we argue the inferred mass of the black hole may not be reliable.

astro-ph.HE↗