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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:

  1. M. Belotti, A. Danelon, C. Fevola, A. Kretschmer “The enumerative geometry of cubic hypersurgaces: point and line conditions”, Collectanea Mathematica
  2. A. Bik, A. Danelon, J. Draisma, R. Eggermont; “Universality of high-strength tensors”, Vietnam J. Math. (2021).
  3. A. Bik, A. Danelon, J. Draisma; “Topological Noetherianity of polynomial functors II: base rings with Noetherian spectrum”, Math. Ann. (2022).

Preprints:

  1. 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.
  2. C. H. Chiu, A. Danelon, J. Draisma, R. Eggermont, A. Farooq “GL x Sym-Noetherianity”.
  3. A. Bik, A. Danelon, A. Snowden “Isogeny classes of cubic spaces”.

Research talks:

  1. September 2023, seminar on asymptotic algebraic geometry, University of Ann Arbor, “Polynomial functors, Vec-varieties, and singular locus”.
  2. July 2023, SIAM AG23, Eindhoven University of Technology, “Well-order on infinite-strength cubic forms”.
  3. March 2023, Bern-Fribourg seminar, Fribourg , “Cubic forms of infinite strength are well-ordered”.
  4. June 2022, WARTHOG, University of Oregon, Eugene, “Universality of strength”.
  5. November 2020, Diamant symposium, Utrecht University, “Topological Noetherianity for polynomial functors over rings”.
  6. October 2020, Seminar, Eindhoven University, “Topological Noetherianity of polynomial functors over rings with Noetherian spectrum”.