Alessandro Danelon
Postdoctoral Fellow in Mathematics
University of Michigan, Ann Arbor
I work in algebraic geometry and representation theory, with emphasis on equivariant methods, stability phenomena, and interactions with commutative algebra. Much of my research studies infinite-dimensional families of GL-representations, polynomial functors, and tensor spaces.
Google Scholar | arXiv | ORCID
News
- I am on the academic job market this year. I would love to hear from anyone interested in my research or profile — please feel free to reach out at [email protected].
- Our paper Singular loci in varieties of tensors (with C. H. Chiu and J. Draisma) has been accepted in Transactions of the American Mathematical Society and will appear shortly.
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 summarize and say that tensors are my main object of study.
Published papers
- C. Chiu, A. Danelon, J. Draisma, Singular loci in varieties of tensors Trans. Amer. Math. Soc., to appear
- C. H. Chiu, A. Danelon, J. Draisma, R. Eggermont, A. Farooq, Sym-Noetherianity for powers of GL-varieties Algebra Number Theory 19 (2025), no. 11, 2091–2118
- A. Bik, A. Danelon, A. Snowden, Isogeny classes of cubic spaces Selecta Math. (N.S.) 31 (2025), no. 4, Paper No. 75, 17 pp.
- M. Belotti, A. Danelon, C. Fevola, A. Kretschmer, The enumerative geometry of cubic hypersurfaces: point and line conditions Collect. Math. 75 (2024), no. 2, 593–627
- A. Bik, A. Danelon, J. Draisma, Topological Noetherianity of polynomial functors II: base rings with Noetherian spectrum Math. Ann. 385 (2023), no. 3-4, 1879–1921
- A. Bik, A. Danelon, J. Draisma, R. Eggermont, Universality of high-strength tensors Vietnam J. Math. 50 (2022), no. 2, 557–580
Ph.D. thesis
A. Danelon, Stabilisation for varieties in polynomial functors, Eindhoven University of Technology, 2023 (public summary).
Preprints
- A. Danelon, A. Snowden, The fundamental theorems of invariant theory for linearly oligomorphic groups arXiv:2607.08485, 2026
- C. Chiu, A. Danelon, A. Snowden, The singular locus of a GL-variety arXiv:2605.30726, 2026
- A. Danelon, Noetherianity for powers of algebraic representations arXiv:2601.23186, 2026
- A. Danelon, Balanced player arrangement in rotating court games arXiv:2509.23884, 2025
- A. Danelon, A. Snowden, A remark on automorphisms of tensor spaces arXiv:2507.13521, 2025
- A. Danelon, A. Snowden, Biquadratic spaces of length two arXiv:2412.20681, 2024
Mentoring
Summer 2026
REU project with undergraduates Maya Mustață (University of Chicago) and Zhiwu Wang (University of Michigan) on multiplicities of singularities in GL-varieties.
May–Sep. 2025
Zhe Su, independent study project in educational studies (EDUC 640), Marsal Family School of Education, University of Michigan.
Selected talks
Jul. 2025
“Ranks and classification of infinite tensors”, SRI, Fort Collins, CO (slides).
Jul. 2025
“Ranks and classification of infinite tensors”, SIAM AG25, Madison, WI (slides).
May 2024
“Singularities of GL-varieties”, JM Invariant at 60, Auburn, AL.
Jul. 2023
“Well-order of infinite-strength cubic forms”, SIAM AG23, Eindhoven, NL (slides).
Posters
Jul. 2026
“Infinite tensors meet model theory”, poster (PDF), ICM 2026, Philadelphia, PA.
Jun.–Jul. 2026
“Advances in asymptotic algebraic geometry”, poster, CAAG26, Politecnico di Milano.
Teaching
University of Michigan, Ann Arbor
Winter 2026
Honors Calculus II (MATH 186).
Winter 2026
Putnam Competition (MATH 289).
Fall 2025
Honors Calculus I (MATH 185).
Fall 2025
Putnam Competition (MATH 289).
Summer 2025
“The Geometry of Music”, MMSS.
Winter 2025
Honors Calculus II (MATH 186).
Winter 2025
Putnam Competition (MATH 289).
Fall 2024
Honors Calculus I (MATH 185).
Fall 2024
Putnam Competition (MATH 289).
Summer 2024
“The Geometry of Music”, MMSS.
Winter 2024
Matrix Algebra (MATH 417).
Fall 2023
Pre-Calculus (MATH 105).
University of Bern
Winter 2023
Algebraic Topology.
Winter 2023
Mathematics for Natural Sciences.
Eindhoven University of Technology
Winter 2021
Linear Algebra II (Excellence in Teaching award).
Fall 2020
Linear Algebra I (Excellence in Teaching award).
Fall 2019
Linear Algebra I (Excellence in Teaching award).
Travelling
Conferences & workshops
Jul. 2026
ICM 2026, Philadelphia, PA, USA.
Jun.–Jul. 2026
CAAG26, Politecnico di Milano, Italy.
Jul. 2025
SIAM AG25, Madison, WI, USA.
Jul. 2025
SRI, Fort Collins, CO, USA.
Jul.–Aug. 2024
MEGA 2024, Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany.
May–Jun. 2024
TAGA 2024 (Tensors: Algebra-Geometry-Applications), Colorado State University, Fort Collins and Pingree Park, CO, USA.
May 2024
JM Invariant at 60, Auburn, AL, USA.
Jul. 2023
SIAM AG23, Eindhoven University of Technology, The Netherlands.
Nov. 2022
DIAMANT symposium, University of Leiden, The Netherlands.
Jun. 2022
WARTHOG, “Infinite dimensional methods in commutative algebra”, University of Oregon, Eugene, US.
Jun. 2022
MEGA 2022, Kraków, Poland.
Jun. 2022
75+80=155 years of commutative algebra, Osnabrück, Germany.
Apr. 2022
Workshop on geometry and complexity theory, Toulouse Mathematics Institute, Toulouse, France.
Nov. 2021
21st graduate colloquium, Swiss doctoral program in mathematics, Neuchâtel, Switzerland.
Jun. 2021
MEGA, online event.
Apr. 2021
Dutch mathematical congress, online event.
Feb.–Mar. 2021
REACT workshop.
Feb. 2021
ICERM, Introductory Workshop on Combinatorial Algebraic Geometry.
Jan. 2021
Sanya Workshop on Algebraic Geometry and Machine Learning.
Jan.–Feb. 2021
POEMA workshop 3.
Jan.–May 2021
SIAM-SAGA.
Oct.–Dec. 2020
POEMA learning weeks.
Nov. 2020
Diamant Symposium, online.
May–Sep. 2020
POEMA learning weeks.
Apr.–May 2020
NASO, online.
Nov. 2019
Diamant Symposium, De Bilt, The Netherlands.
Jun. 2019
MEGA conference, Universidad Complutense, Madrid, Spain.
Jun. 2019
Ideals, Varieties and Algorithms: in honor of D. Cox, Amherst College.
Apr. 2019
Diamant Symposium, Veldhoven, The Netherlands.
Apr. 2019
Dutch mathematical congress, Veldhoven, The Netherlands.
Mar. 2019
In memoriam of Ragnar-Olaf Buchweitz, Münster, Germany.
Nov. 2018
Diamant Symposium, Veenendaal, The Netherlands.
Aug. 2017
Summer School on modular forms, Padova University, Italy.
Visiting
9–13 Jun. 2025
Visiting Fulvio Gesmundo at Paul Sabatier University, Toulouse.
12–16 May 2025
Visiting Jan Draisma in Bern.
5–9 Aug. 2024
Visiting Jan Draisma in Bern.
18 Oct.–23 Dec. 2022
Visiting Jan Draisma in Bern.
15–19 Aug. 2022
Visiting Jan Draisma in Bern.
27 Oct.–1 Nov. 2019
Visiting Jan Draisma in Bern.
11–25 May 2019
Visiting Jan Draisma in Bern.
CV
See the full CV (PDF) for a complete record.
Positions
Aug. 2023–present
Postdoctoral Fellow, University of Michigan, Ann Arbor. Mentor: Andrew Snowden.
Mar. 2023–Aug. 2023
Postdoctoral Fellow, University of Bern. Mentor: Jan Draisma.
Education
Feb. 2019–Feb. 2023
Ph.D. in Mathematics, Eindhoven University of Technology, The Netherlands. Advisor: Jan Draisma. Thesis: “Stabilisation for varieties in polynomial functors”.
Sep. 2016–Jul. 2018
Master in Mathematics, University of Leiden and University of Duisburg-Essen (ALGANT), Leiden, The Netherlands, and Essen, Germany. Advisor: Massimo Bertolini. Thesis: “A p-adic analogue to the class number formula”.
Sep. 2011–Sep. 2016
Bachelor in Mathematics, University of Milan, Italy.
Oct. 2006–Oct. 2016
Master (V.O.) in Clarinet Performance, Conservatory of Music G. Verdi, Milan, Italy. Advisor: Sergio Del Mastro.
Diploma recording
W. A. Mozart, Clarinet Quintet in A major, K. 581 — live recording from my diploma
recital, Conservatorio di Musica G. Verdi, Milan.
Alessandro Danelon, clarinet; Viktor Csányi, violin I; Giuliana Santi, violin II;
Alberto Danelon, viola; Luigi Galizzi, cello.
Awards
Jun. 2026
AMS-Simons Travel Grant, AMS-Simons Foundation.
Feb. 2024
UMPDA Postdoc Conference Award, University of Michigan.
Apr. 2021
Excellence in Teaching Award, University of Eindhoven.
Jan. 2021
Excellence in Teaching Award, University of Eindhoven.
Jan. 2020
Excellence in Teaching Award, University of Eindhoven.
Referees
Andrew Snowden, Full Professor, University of Michigan, Ann Arbor.
Jan Draisma, Full Professor, University of Bern.
Fulvio Gesmundo, Associate Professor, Paul Sabatier University, Toulouse.