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Curvature homogeneous hypersurfaces in space forms
(Advances in Mathematics) Bryant, Robert; Ziller, Wolfgang; Florit, Luis
We provide a classification of curvature homogeneous hypersurfaces in space forms by classifying the ones in and . In higher dimensions, besides the isoparametric and the constant curvature ones, there is a single one in . Besides the obvious examples, we show that there exists an isolated hypersurface with a circle of symmetries and a one parameter family admitting no continuous symmetries. Outside the set of minimal points, which only exists in the case of , every example is, locally and up to covers, of this form.
Wide and Deep (Poetry Thesis)
(2024-04-01) Chen, Marina
Through discoveries like humor (which stabs a poem like acid does a piece of meat), new aesthetics of interest, and more challenging poetic forms, this project has confirmed that writing is my way to speak at full
volume. I wanted to explain my thought process a bit, in hopes that it is helpful to you as a reader. In short, I plowed deep, and I pushed wide.
Sometimes, every poem I write feels like my first. In my personal life I vehemently disdain the stickiness of the past, which can be embarrassing and uncool. But as a writer I’m too entrenched in the past, the dusty Tupperware of childhood and everything that macerates inside – discovery, hope, loss, dying love, what is love, filial piety, and the little images that are my symbols of those things. Horses and food, for example, real deep cuts. In the epigraph, the Pound and Courbet quotes suggest my philosophy, that the image is energetic magic, but I can also never describe something I don’t know. The images always flow. For my first few years at Duke that was the end of it: a page of image swimming in a blob of overwhelming emotion. With this thesis, I wanted to push into a longer form; I decided I liked it and would like to stay there. Longer poems indulge in their own cadence, allowing full excavation of emotion. Of course, my “long” pales in comparison to real long, which is where I’m walking towards, hopefully... “miles to go before I sleep”, à la the Frost poem. In my long poems, I’ve been able to dig further into themes of beauty and the body, using wonder, sensuality, and even horror to bind the two.
I’ve tried to push wider too, which I hope is apparent in the progression of the works in this manuscript; I’ve tried to apply my favorite personal topics in a more universal way. In doing this, I looked to T.S. Eliot, Charles Wright, and Walt Whitman for advice to expand my scope. (America on the mind, and the past.) These poets also encouraged experimenting with tone and the shape words take on the page. I honed tools like landscape, musicality, slant rhymes, and casual onomatopoeia to do this. These helped separate my style, which leans abstract, into what I like to think of as theatrical scenes. In the spirit of pushing outwards, I was captivated by haiku
and similar standalone, one-line forms like Yannis Ritsos’s Monochords. I found that palm-sized units inspired by the Japanese aesthetic, of nature and intricate subtleties, were helpful building blocks for longer forms. There’s the line, and then there’s the role of the line in a larger work. In a long work, there’s so much to find in the space in between concrete objects, so much that they morph into new scenes altogether. I’ve learned expansive poems can often keep absorbing, opening helpful creative channels to inspire or place new content.
Zooming in Duke’s West Campus Libraries - April 2025
(2025-04) Brown, Annie
In response to student concerns about virtual meeting spaces, identified in a biennial survey, Duke University Libraries’ Assessment and User Experience Strategy (AUXS) Department conducted focus groups with graduate and undergraduate students to better understand their experiences Zooming in the West Campus Libraries. Students identified key challenges, including a lack of private, acoustically secure spaces, limited room availability, and confusion around room reservation systems and policies. Within the constraints of existing infrastructure, students proposed practical solutions ranging from enhanced communication and reservation system features to the introduction of a “Zoom Hall” and spatial modifications using low-cost dividers. Recommendations were prioritized based on ease of implementation and potential impact, though further cost-benefit analysis is advised. This report offers actionable insights to help library leadership improve the overall student experience of Zooming in the West Campus Libraries.
Enhancing statistical validity and power in hybrid controlled trials: A randomization inference approach with conformal selective borrowing
(Proceedings of the 42nd International Conference on Machine Learning (ICML), PMLR) Zhu, Ke; Yang, Shu; Wang, Xiaofei
Recording dynamic facial micro-expressions with a multi-focus camera array.
(Biomedical optics express, 2025-02) Kreiss, Lucas; Tang, Weiheng; Balla, Ramana; Yang, Xi; Chaware, Amey; Kim, Kanghyun; Cook, Clare B; Begue, Aurelien; Dugo, Clay; Harfouche, Mark; Zhou, Kevin C; Horstmeyer, Roarke
We present a multi-camera array for capturing dynamic high-resolution videos of the human face. Compared to traditional single-camera configurations, our array of 54 individual cameras allows stitching of high-resolution composite video frames (709 megapixels total). In our novel multi-focus strategy, each camera in the array focuses on a unique object plane to resolve non-planar surfaces at a higher resolution than a standard single-lens camera design. By overcoming the standard resolution and depth-of-field (DOF) tradeoffs, we use our array design to capture video of macroscopically curved surfaces such as the human face at a lateral resolution of 26.14 ± 5.8 µm across a composite DOF of ∼43 mm that covers the entire face (85 cm2+ FOV). Compared to a single-focus configuration, this is almost a 10-fold increase in effective DOF. We demonstrate how our multi-focus camera array can capture dynamic facial expressions at microscopic resolution with relevance in several biomedical applications.