Alessandro Danelon

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

  1. C. Chiu, A. Danelon, J. Draisma, Singular loci in varieties of tensors Trans. Amer. Math. Soc., to appear
  2. 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
  3. A. Bik, A. Danelon, A. Snowden, Isogeny classes of cubic spaces Selecta Math. (N.S.) 31 (2025), no. 4, Paper No. 75, 17 pp.
  4. 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
  5. 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
  6. 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.

Preprints

  1. C. Chiu, A. Danelon, A. Snowden, The singular locus of a GL-variety arXiv:2605.30726, 2026
  2. A. Danelon, Noetherianity for powers of algebraic representations arXiv:2601.23186, 2026
  3. A. Danelon, Balanced player arrangement in rotating court games arXiv:2509.23884, 2025
  4. A. Danelon, A. Snowden, A remark on automorphisms of tensor spaces arXiv:2507.13521, 2025
  5. A. Danelon, A. Snowden, Biquadratic spaces of length two arXiv:2412.20681, 2024

Mentoring

Zhe Su, independent study project in educational studies (EDUC 640), Marsal Family School of Education, University of Michigan.
Summer 2026
REU project with undergraduates Maya Mustață (University of Chicago) and Zhiwu Wang (University of Michigan) on multiplicities of singularities in GL-varieties.

Selected talks

Jul. 2025
“Ranks and classification of infinite tensors”, SRI, Fort Collins, CO.
Jul. 2025
“Ranks and classification of infinite tensors”, SIAM AG25, Madison, WI.
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.

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).

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.

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.