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Kathryn Hess Bellwald

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Related publications (51)

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Intact Drosophila central nervous system cellular quantitation reveals sexual dimorphism

Kathryn Hess Bellwald, Evelyne Ruchti, Ying Shi, Brian Donal McCabe, Wei Jiao, Soumya Banerjee, Gard Spreemann, Samuel William Vernon

Establishing with precision the quantity and identity of the cell types of the brain is a prerequisite for a detailed compendium of gene and protein expression in the central nervous system (CNS). Currently, however, strict quantitation of cell numbers has ...

eLIFE SCIENCES PUBL LTD2022

A general framework for homotopic descent and codescent

Kathryn Hess Bellwald

In this paper we elaborate a general homotopy-theoretic framework in which to study problems of descent and completion and of their duals, codescent and cocompletion. Our approach to homotopic (co)descent and to derived (co)completion can be viewed as $\in ...

2010

The Hochschild complex of a twisting cochain

Kathryn Hess Bellwald

Given any twisting cochain t:C→A , where C is a connected, coaugmented chain coalgebra and A is an augmented chain algebra over an arbitrary commutative ring R, we construct a twisted extension of chain complexes Full-size image (1 K) of which both the wel ...

Elsevier2016

Multiplicative structure in equivariant cohomology

Kathryn Hess Bellwald

We introduce the notion of a strongly homotopy-comultiplicative resolution of a module coalgebra over a chain Hopf algebra, which we apply to proving a comultiplicative enrichment of a well-known theorem of Moore concerning the homology of quotient spaces ...

Elsevier2012

Twisting structures and morphisms up to strong homotopy

Kathryn Hess Bellwald

We define twisted composition products of symmetric sequences via classifying morphisms rather than twisting cochains. Our approach allows us to establish an adjunction that simultaneously generalizes a classic one for algebras and coalgebras, and the bar- ...

2020

Homotopic Hopf-Galois extensions: foundations and examples

Kathryn Hess Bellwald

Hopf-Galois extensions of rings generalize Galois extensions, with the coaction of a Hopf algebra replacing the action of a group. Galois extensions with respect to a group

G

are the Hopf-Galois extensions with respect to the dual of the group algebra of ...

2009

Computational tools for twisted topological Hochschild homology of equivariant spectra

Kathryn Hess Bellwald

Twisted topological Hochschild homology of Cn-equivariant spectra was introduced by Angeltveit, Blumberg, Gerhardt, Hill, Lawson, and Mandell, building on the work of Hill, Hopkins, and Ravenel on norms in equivariant homotopy theory. In this paper we intr ...

ELSEVIER2022

Configuration Spaces Of Products

Kathryn Hess Bellwald

We show that the configuration spaces of a product of parallelizable manifolds may be recovered from those of the factors as the Boardman-Vogt tensor product of right modules over the operads of little cubes of the appropriate dimension. We also discuss an ...

2019

Computational synthesis of cortical dendritic morphologies

Henry Markram, Kathryn Hess Bellwald, Werner Alfons Hilda Van Geit, Lida Kanari, Alexis Arnaudon, Julian Charles Shillcock, Benoît Jean-Albert Coste, Hugo Thabo Dictus

Neuronal morphologies provide the foundation for the electrical behavior of neurons, the connectomes they form, and the dynamical properties of the brain. Comprehensive neuron models are essential for defining cell types, discerning their functional roles, ...

CELL PRESS2022

Two-Tier Mapper, an unbiased topology-based clustering method for enhanced global gene expression analysis

Kathryn Hess Bellwald, Cathrin Brisken, Jacques Rougemont, Rachel Marcone

Motivation: Unbiased clustering methods are needed to analyze growing numbers of complex data sets. Currently available clustering methods often depend on parameters that are set by the user, they lack stability, and are not applicable to small data sets. ...

Oxford University Press2019

Dynamics of CLIMP-63 S-acylation control ER morphology

Vassily Hatzimanikatis, Françoise Gisou van der Goot Grunberg, Graham Knott, Kathryn Hess Bellwald, Luciano Andres Abriata, Laurence Gouzi Abrami, Patrick Alain Sandoz, Catherine Maclachlan, Béatrice Kunz, Sylvia Ho, Gard Spreemann, Robin Alexander Denhardt-Eriksson

A key player in the formation of endoplasmic reticulum sheets is CLIMP-63, but mechanistic details remained elusive. Here authors combined cellular experiments and mathematical modelling to show that S-acylation of CLIMP-63 regulates its function by mediat ...

Nature Portfolio2023

A tool for mapping microglial morphology, morphOMICs, reveals brain-region and sex-dependent phenotypes

Kathryn Hess Bellwald, Lida Kanari, Martina Scolamiero

Environmental cues influence the highly dynamic morphology of microglia. Strategies to characterize these changes usually involve user-selected morphometric features, which preclude the identification of a spectrum of context-dependent morphological phenot ...

NATURE PORTFOLIO2022

A Künneth theorem for configuration spaces

Kathryn Hess Bellwald

We construct a spectral sequence converging to the homology of the ordered configuration spaces of a product of parallelizable manifolds. To identify the second page of this spectral sequence, we introduce a version of the Boardman-Vogt tensor product for ...

2022

Heterogeneous and higher-order cortical connectivity undergirds efficient, robust, and reliable neural codes

Kathryn Hess Bellwald, András Ecker, Daniela Egas Santander, Christoph Pokorny

To distinguish between subpopulations, we developed a metric based on the mathematical theory of simplicial complexes that captures the complexity of their connectivity by contrasting its higher-order structure to a random control and confirmed its relevan ...

Cell Press2025

Left-induced model structures and diagram categories

Kathryn Hess Bellwald, Magdalena Kedziorek, Varvara Karpova

We prove existence results à la Jeff Smith for left-induced model category structures, of which the injective model structure on a diagram category is an important example. We further develop the notions of fibrant generation and Postnikov presentation fro ...

2015

Shadows are bicategorical traces

Kathryn Hess Bellwald

Hochschild homology has proved to be an important invariant in algebra and homotopy theory, in particular due to its relevance in algebraic K-theory and fixed point theory, leading to the development of numerous variants of the original construction. Ponto ...

2025

Topological Analysis Enables Prediction Of Functional And Social Outcomes In Early Psychosis

Kathryn Hess Bellwald, Mehdi Gholam, Martina Scolamiero

OXFORD UNIV PRESS2019

The loop group and the cobar construction

Kathryn Hess Bellwald

We prove that for any 1-reduced simplicial set X, Adams' cobar construction, on the normalised chain complex of X is naturally a strong deformation retract of the normalised chains CGX on the Kan loop group GX, opening up the possibility of applying the to ...

American Mathematical Society (AMS)2010

Complete intersections in rational homotopy theory

Kathryn Hess Bellwald

We investigate various homotopy invariant formulations of commutative algebra in the context of rational homotopy theory. The main subject is the complete intersection condition, where we show that a growth condition implies a structure theorem and that mo ...

Elsevier2013

Generating and identifying functional subnetworks within structural networks

Henry Markram, Kathryn Hess Bellwald, Michael Reimann, Max Christian Nolte, Ran Levi

In one aspect, a method includes generating a functional subgraph of a network from a structural graph of the network. The structural graph comprises a set of vertices and structural connections between the vertices. Generating the functional subgraph incl ...

2018