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
convexity of complements of tropical varieties and approximations of currents (2019)|
Mathematische Annalen|
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theorems of caratheodory helly and tverberg without dimension (2019)|
symposium on discrete algorithms|
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combinatorial lefschetz theorems beyond positivity (2018)|
arXiv preprint arXiv:1812.10454|
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semistable reduction in characteristic 0 (2018)|
arXiv preprint arXiv:1810.03131|
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hodge theory for combinatorial geometries (2018)|
Annals of Mathematics|
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log smoothness and polystability over valuation rings (2018)|
arXiv preprint arXiv:1806.09168|
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rigidity with few locations (2018)|
arXiv preprint arXiv:1806.03322|
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qglbt for polytopes (2018)|
arXiv preprint arXiv:1805.03267|
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a note on the simplex cosimplex problem (2017)|
European Journal of Combinatorics|
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face numbers of sequentially cohen macaulay complexes and betti numbers of componentwise linear ideals (2017)|
Journal of the European Mathematical Society|
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