Christopher Heng Chiu

mail: christopher.chiu (at) unibe.ch
contact: Mathematical Institute, University of Bern, Alpeneggstrasse 22, 3012 Bern

About me

I am currently an SNSF postdoctoral fellow (grant no 217058) at the University of Bern. Before, I was an FWO junior postdoctoral fellow at KU Leuven and a postdoc at TU Eindhoven. I graduated in January 2021 from University of Vienna. You can find a detailed CV here.

Research

I am on Researchgate, ORCID and Google Scholar.

My research is in algebraic geometry and commutative algebra, with a particular interest in questions of finiteness in infinite-dimensional geometry. I have worked on arc spaces from the point of view of singularities of algebraic varieties; as well as on questions of equivariant Noetherianity in representations of infinite-dimensional groups.

Publications and preprints

The Drinfeld-Grinberg-Kazhdan theorem and embedding codimension of the arc space. (arXiv)

preprint, submitted.

Singular loci in varieties of tensors. (arXiv)

with A. Danelon and J. Draisma, submitted.

Topological Noetherianity of the infinite half-spin representations. (arXiv)

with J. Draisma, R. Eggermont, T. Seynnaeve and N. Tairi, Forum Math. Sigma 13(E75) (2025). doi:10.1017/fms.2025.32.

On the formal neighborhood of a degenerate arc. (arXiv)

with H. Hauser, submitted.

Sym-Noetherianity for powers of GL-varieties. (arXiv)

with A. Danelon, J. Draisma, R. Eggermont and A. Farooq, to appear in Algebra Number Theory.

On arc fibers of morphisms of schemes. (arXiv)

with T. de Fernex and R. Docampo, J. Eur. Math. Soc. (2024). doi:10.4171/JEMS/1500.

Higher Derivations of Modules and the Hasse–Schmidt Module. (arXiv)

with L. Narváez Macarro, Michigan Math. J. 73(3) (2023). doi:10.1307/mmj/20205958.

Isosingular loci of algebraic varieties. (arXiv)

with H. Hauser, J. Pure Appl. Algebra 226(10) (2022). doi:10.1016/j.jpaa.2022.107131.

Embedding codimension of the space of arcs. (arXiv)

with T. de Fernex and R. Docampo, Forum Math. Pi 10(E4) (2022). doi:10.1017/fmp.2021.19.

Upcoming conferences

to speak at the Mid-Atlantic Geometry and Singularities Conference, University of La Laguna, Tenerife, May 12-16, 2025.
to speak at the conference "Singularities in Algebraic Geometry", Centre Henri Lebesgue, Rennes, June 10-13, 2025.
to speak at the French-Swiss workshop "A Panorama of Algebraic Geometry", Institut de Mathématiques de Bourgogne, Dijon, June 19-20, 2025.

Teaching

This semester, I am teaching the course "Introduction to schemes" (FS2025) at the University of Bern. You can find all necessary information on ILIAS (login needed). There will be lecture notes available there, and on this website, in the immediate future.

Previous semester, I was a teaching assistant for the course "Lie Algebras" (HS2024) at the University of Bern.

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