Researcher interests: Combinatorics. Currently, combinatorial constructions for manifolds and spaces, the topology and algebra of subspace arrangements, models of intersection theory in their various disguises (including skeletal rigidity), Hodge theory and Lefschetz theorems, moduli spaces of combinatorial objects (such as polytopes). Also, metric geometry, in its various disguises.
FACULTY / SCHOOL: Faculty of Science
DEPARTMENT: The Einstein Institute of Mathematics
Selected Publications
on the realization space of the cube (2019)|
arXiv preprint arXiv:1912.09554|
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barycentric subdivisions of convex complexes are collapsible (2019)|
Discrete and Computational Geometry|
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unstable blueprints can be shared (2019)|
arXiv preprint arXiv:1909.10794|
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collapsibility of cat 0 spaces (2019)|
Geometriae Dedicata|
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faq on the g theorem and the hard lefschetz theorem for face rings (2019)|
arXiv preprint arXiv:1906.05859|
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the hard lefschetz theorem for pl spheres (2019)|
arXiv preprint arXiv:1906.00737|
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colorful simplicial depth minkowski sums and generalized gale transforms (2019)|
International Mathematics Research Notices|
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convexity of complements of tropical varieties and approximations of currents (2019)|
Mathematische Annalen|
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faq on the g theorem and the hard lefschetz theorem for face rings (2019)|
Rendiconti di Matematica e delle sue Applicazioni|
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combinatorial lefschetz theorems beyond positivity (2018)|
arXiv preprint arXiv:1812.10454|
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