Ulrike Tillmann

Isaac Newton Institute for Mathematical Sciences — United Kingdom

Mathematics · Physical Sciences

15h-index1.8kcitations90works9.82yr avg
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Research Topics

Homotopy and Cohomology in Algebraic Topology(56), Algebraic structures and combinatorial models(27), Geometric and Algebraic Topology(25), Topological and Geometric Data Analysis(23), Advanced Topics in Algebra(14)

Publications90 total

Topology across scales on heterogeneous cell data
PLoS Computational Biology·2025Open Access
Topology across Scales on Heterogeneous Cell Data
arXiv (Cornell University)·2025Open Access
Harder–Narasimhan filtrations of persistence modules
Transactions of the London Mathematical Society·2024· 1 citedOpen Access
A notion of homotopy for directed graphs and their flag complexes
arXiv (Cornell University)·2024Open Access
Grounded Persistent Path Homology: A Stable, Topological Descriptor for Weighted Digraphs
Foundations of Computational Mathematics·2024· 2 citedOpen Access
Multiscale topology classifies cells in subcellular spatial transcriptomics
Nature·2024· 56 citedOpen Access
Harder-Narasimhan filtrations and zigzag persistence
Advances in Applied Mathematics·2023· 1 citedOpen Access
Topological Analysis of High-Resolution Spatial Transcriptomics Reveals Immune Glomerular Architecture of Lupus Nephritis
Journal of the American Society of Nephrology·2023
Homology stability for asymptotic monopole moduli spaces
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences·2023Open Access
Homology of homologous knotted proteins
Journal of The Royal Society Interface·2023· 10 citedOpen Access
Harder-Narasimhan Filtrations of Persistence Modules
arXiv (Cornell University)·2023Open Access
Homology stability for asymptotic monopole moduli spaces
arXiv (Cornell University)·2022Open Access
Code for the paper "Multiscale topology classifies cells in subcellular spatial transcriptomics"
arXiv (Cornell University)·2022· 1 citedOpen Access
Harder-Narasimhan Filtrations and Zigzag Persistence
arXiv (Cornell University)·2022Open Access
Point-pushing actions for manifolds with boundary
Groups Geometry and Dynamics·2022· 2 citedOpen Access
Grounded persistent path homology: a stable, topological descriptor for weighted digraphs
arXiv (Cornell University)·2022Open Access
Correction to: The space of barcode bases for persistence modules
Journal of Applied and Computational Topology·2022Open Access
The space of barcode bases for persistence modules
Journal of Applied and Computational Topology·2022· 12 citedOpen Access
The fiber of persistent homology for simplicial complexes
Journal of Pure and Applied Algebra·2022· 9 citedOpen Access
Random Čech complexes on manifolds with boundary
Random Structures and Algorithms·2022· 7 citedOpen Access
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Frequent Co-authors

Heather A. Harrington(7), Ib Madsen(4), Nina Otter(3), Søren Galatius(3), Oliver Vipond(3), Helen M. Byrne(3), Martin Palmer(3), Michael Weiss(2), Graeme Segal(2), Katherine Benjamin(2), Carl-Friedrich Bödigheimer(2), Henry‐Louis de Kergorlay(2), Jacob Leygonie(2), Ruth J. Muschel(2), Gesine Reinert(2), Mason A. Porter(1), Peter Grindrod(1), Joshua A. Bull(1), Philip S. Macklin(1), Christopher W. Pugh(1)