About me

Renee Hoekzema by Anneke Kerkhof I am a tenure track assistant professor at the Mathematics Department of the Free University of Amsterdam, holding a VENI fellowship. Before this I was a postdoctoral research associate at the Centre for Topological Data Analysis at the University of Oxford working with Heather Harrington and Helen Byrne. Before this I was a postdoc at the Max Planck Institute for Mathematics in Bonn and a postdoc at the Department of Mathematical Sciences at Copenhagen. I was a DPhil student at the Mathematical Institute of the University of Oxford, working with Ulrike Tillmann on topology of manifolds and cobordism categories. I was also a DPhil student at the Earth Sciences Department of the University of Oxford working with the late Martin Brasier on morphology of Ediacaran organisms. Before that I wrote my master's thesis on quantum gravity with Renate Loll and Tom Ilmanen at the Institute for Theoretical Physics of Utrecht University.

Within mathematics I am interested in topological data analysis applied to biomedicine and also pure algebraic topology, particularly in the study of manifolds, cobordism categories and topological quantum field theories. I am also interested in creating and learning about palaeontology, physics and art.

Papers & Preprints

K-theory spectrum for cobordism cut and paste groups

R. S. Hoekzema, C. Rovi, J. Semikina, to appear.

Multiscale methods for signal selection in single cell data

R. S. Hoekzema, O. Sumray, L. Marsh, T. M. Carroll, X. Lu, H. M. Byrne, H. A. Harrington (2022), Accepted for the special issue 'Applications of Topological Data Analysis in the Life Sciences' in Entropy.

A blood atlas of COVID-19 defines hallmarks of disease severity and specificity

COvid-19 Multi-omics Blood ATlas (COMBAT) Consortium (203 authors), Cell, 185(5), 916-938, 2022.

Augmenting the Human Mathematician

H. Breman, R. S. Hoekzema, M. W. Johansen, H. K. Sørensen, 1st Mathematical Reasoning in General Artificial Intelligence Workshop, ICLR, 2021.

Cut and paste invariants of manifolds via algebraic K-theory

R. S. Hoekzema, M. Merling, L. Murray, C. Rovi, J. Semikina (2020), Topology and its Applications, 2022(108105), 0166-8641.

Orientability of high-dimensional manifolds with odd Euler characteristic

Renee Hoekzema (2020), arXiv preprint 2007.05451.
Mathematica notebook to expand the Cartan formula
Mathematica notebook computing the additive cohomology of the first Rosenfeld plane
List of relations between all monomials in the cohomology of the second Rosenfeld plane
Mathematica notebook computing Steenrod operations on the cohomology of the Second Rosenfeld plane

Manifolds with odd Euler characteristic and higher orientability

Renee S. Hoekzema, International Mathematics Research Notices (2018), also available on arXiv:1704.06607.

Quantitative study of developmental biology confirms Dickinsonia as a metazoan

Renee S. Hoekzema, Martin D. Brasier, Frances S. Dunn and Alexander G. Liu, Proceedings of the Royal Society B (2017).


Check out my podcast for 'De fascinatievolger' (in Dutch)

Check out Meromorf press from Hester Breman

Check out Picture this Maths, with among many amazing illustrations of what maths is all about, also my post on defining what topology is and explaining a bit about my research.

Check out my mother's artwork