Samir Canning

Email: samir.canning at math.ethz.ch
Office: HG J 16.1

I work in algebraic geometry. I am interested in the intersection theory of moduli spaces, especially those related to the moduli spaces of curves, abelian varieties, and K3 surfaces.

Papers and Preprints

1. FA-modules and holomorphic forms on ${\overline{ℳ}}_{g,n}$, joint with Hannah Larson, Sam Payne, and Thomas Willwacher. (arxiv)
2. The motivic structures LS₁₂ and S₁₆ in the cohomology of moduli spaces of curves, joint with Hannah Larson, Sam Payne, and Thomas Willwacher, to appear in the Schiermonnikoog volume on Moduli Spaces and Modular Forms. (arxiv)
3. Moduli spaces of curves with polynomial point counts, joint with Hannah Larson, Sam Payne, and Thomas Willwacher. (arxiv)
4. Tautological and non-tautological cycles on the moduli space of abelian varieties, joint with Dragos Oprea and Rahul Pandharipande, Inventiones Mathematicae. (journal) (arxiv)
   
5. The tautological ring of ${\overline{ℳ}}_{g,n}$ is rarely Gorenstein, Geometry & Topology. (journal) (arxiv)
   
6. Holomorphic forms and non-tautological cycles on moduli spaces of curves, joint with Veronica Arena, Emily Clader, Richard Haburcak, Amy Li, Siao Chi Mok, and Carolina Tamborini, Selecta Mathematica. (journal) (arxiv)
   
7. Tautological projection for cycles on the moduli space of abelian varieties, joint with Sam Molcho, Dragos Oprea, and Rahul Pandharipande, to appear in Algebraic Geometry. (arxiv)
   
8. The Chow ring of the moduli space of degree 2 quasi-polarized K3 surfaces, joint with Dragos Oprea and Rahul Pandharipande, J. Reine Angew. Math (Crelle's Journal). (journal) (arxiv)
   
9. Extensions of tautological rings and motivic structures in the cohomology of ${\overline{ℳ}}_{g,n}$ , joint with Hannah Larson and Sam Payne, Forum of Mathematics, Pi. (journal) (arxiv)
   
10. The bielliptic locus in genus 11, joint with Hannah Larson, Michigan Mathematical Journal. (journal) (arxiv)
    
11. The eleventh cohomology group of ${\overline{ℳ}}_{g,n}$ , joint with Hannah Larson and Sam Payne, Forum of Mathematics, Sigma. (journal) (arxiv)
    
12. On the Chow and cohomology rings of moduli spaces of stable curves, joint with Hannah Larson, Journal of the European Mathematical Society. (journal) (arxiv)
    
13. The rational Chow rings of moduli spaces of hyperelliptic curves with marked points, joint with Hannah Larson, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. (journal) (arxiv)
    
14. The integral Chow rings of moduli of Weierstrass fibrations, joint with Andrea Di Lorenzo and Giovanni Inchiostro, Transactions of the AMS. (journal) (arxiv)
    
15. The integral Picard groups of low-degree Hurwitz spaces, joint with Hannah Larson, Mathematische Zeitschrift. (journal) (arxiv)
    
16. The Chow rings of moduli spaces of elliptic surfaces over P¹, joint with Bochao Kong, Algebraic Geometry. (journal) (arxiv)
    
17. The Chow rings of the moduli spaces of curves of genus 7, 8, and 9, joint with Hannah Larson, Journal of Algebraic Geometry. (journal) (arxiv)
    
18. Chow rings of low-degree Hurwitz spaces, joint with Hannah Larson, J. Reine Angew. Math (Crelle's Journal). (journal) (arxiv)
    
19. Tautological classes on low-degree Hurwitz spaces, joint with Hannah Larson, IMRN. (journal) (arxiv)
    
20. On a conjecture on the variety of lines on a Fano complete intersection, Ann. Mat. Pura Appl. (journal) (arxiv)
    

Videos of talks

• Lecture video from a panorama of moduli spaces on motivic structures in the cohomology of the moduli space of curves: (Video)
  
• Lecture video Les Diablerets on Pixton's conjecture and the Gorenstein question: (Video)
  

Teaching

I have been lead instructor for the following courses.

1. Fall 2023, Commutative Algebra (ETH).
2. Summer 2021, Linear Algebra (UCSD) (Reviews).