Research Interests
I am broadly interested in algebraic geometry. My current focus is on deformations of singularities, particularly in positive and mixed characteristic. As doctoral project, I was able to prove that the class of isolated cyclic (lrq) singularities is stable under deformations in positive and mixed characteristic, generalizing the result in char 0.
My doctoral project sparked a number of follow-up questions:
- What can we say about deformations of singularities arising as quotients of non-cyclic groups? If a deformation of a quotient singularity is again a quotient singularity, what can we say about the associated groups?
- What about deformations of (isolated) toric singularities in higher dimension?
- What is the relation between versal deformations and deformations over a complete DVR?
Preprint
Deformations of isolated cyclic quotient singularities in arbitrary characteristic
Available on arXiv
Available on arXiv
Talks
| 2026 | Deformations of isolated 𝐐-factorial toric singularities, Research School on Cox rings and applications, CIRM |
| 2026 | Equivariant Cohomology, Seminar on Enumerative Geometry, TUM |
| 2025 | Deformations of isolated cyclic quotient singularities, ICL-TUM Workshop on Arithmetic and Geometry |
| 2025 | Deformations of isolated cyclic quotient singularities, Research Seminar Algebraic Geometry, TUM |
| 2025 | Deformations of toric surface singularities in positive characteristic, GAeL XXXII |
| 2025 | An approach to noncommutative algebraic geometry, Research Seminar ''Algebraic Geometry'', TUM |
| 2024 | Deforming christmas presents, TopMath Christmas Party, TUM |
| 2024 | F-splitting, Seminar on F-Singularities, TUM |
| 2023 | Charts and fine log-structures, Seminar on Log-Geometry, TUM |
Poster
| 2026 |