Research:
Interests:
My research is in infinite dimensional equivariant algebraic geometry. It incarnates in objects like GL-representations, polynomial functors, tensor spaces, Sym-representations, FI-varieties, and twisted commutative algebras. One can also summarise and say that the tensors are my main object of study.
Published papers:
- M. Belotti, A. Danelon, C. Fevola, A. Kretschmer “The enumerative geometry of cubic hypersurgaces: point and line conditions”, Collectanea Mathematica
- A. Bik, A. Danelon, J. Draisma, R. Eggermont; “Universality of high-strength tensors”, Vietnam J. Math. (2021).
- A. Bik, A. Danelon, J. Draisma; “Topological Noetherianity of polynomial functors II: base rings with Noetherian spectrum”, Math. Ann. (2022).
Preprints:
- C. H. Chiu, A. Danelon, J. Draisma “Singular loci of varieties in polynomial functors” In preparation. Refer, please, to Chapter 5 of my Ph.D. thesis.
- C. H. Chiu, A. Danelon, J. Draisma, R. Eggermont, A. Farooq “GL x Sym-Noetherianity”.
- A. Bik, A. Danelon, A. Snowden “Isogeny classes of cubic spaces”.
Research talks:
- September 2023, seminar on asymptotic algebraic geometry, University of Ann Arbor, “Polynomial functors, Vec-varieties, and singular locus”.
- July 2023, SIAM AG23, Eindhoven University of Technology, “Well-order on infinite-strength cubic forms”.
- March 2023, Bern-Fribourg seminar, Fribourg , “Cubic forms of infinite strength are well-ordered”.
- June 2022, WARTHOG, University of Oregon, Eugene, “Universality of strength”.
- November 2020, Diamant symposium, Utrecht University, “Topological Noetherianity for polynomial functors over rings”.
- October 2020, Seminar, Eindhoven University, “Topological Noetherianity of polynomial functors over rings with Noetherian spectrum”.