Writings

The articles marked with (*) after the arXiv link contain changes made after journal publication or typos that need correction. A list of changes / typos can be found here.
For forward references to my papers, see my Google Scholar profile.
A listing of these papers on arXiv can be found at this link: http://arxiv.org/a/sam_s_1

Research

  1. On the cohomology of tautological bundles over Quot schemes of curves
    (with Alina Marian and Dragos Oprea)
    arXiv
  2. Polynomial representations of the Witt Lie algebra
    (with Andrew Snowden and Philip Tosteson)
    arXiv
  3. A note on projective dimension over twisted commutative algebras
    (with Andrew Snowden)
    arXiv
  4. The representation theory of Brauer categories II: curried algebra
    (with Andrew Snowden)
    J. Comb. Algebra, to appear
    arXiv
  5. Jacobi-Trudi formulas and determinantal varieties
    (with Jerzy Weyman)
    Algebraic Combinatorics, to appear
    arXiv
  6. On some modules supported in the Chow variety
    (with Claudiu Raicu and Jerzy Weyman)
    Vietnam J. Math. 50 (2022), Special issue celebrating the 60th birthday of Bernd Sturmfels, 501–521.
    arXiv | Journal
  7. Cohomology of flag supervarieties and resolutions of determinantal ideals
    (with Andrew Snowden)
    Algebr. Geom. 11 (2024), no. 1, 37–70.
    arXiv | Journal
  8. A Bruhat atlas for the Mehta–van der Kallen stratification of T*GLn/B
    (with Allen Knutson)
    Transform. Groups, to appear
    arXiv | Journal
  9. Hermite reciprocity and Schwarzenberger bundles
    (with Claudiu Raicu)
    Commutative Algebra (edited by Irena Peeva), 689–721, Springer, 2022.
    arXiv | Book version
  10. On the geometry and representation theory of isomeric matrices
    (with Rohit Nagpal and Andrew Snowden)
    Algebra Number Theory 16 (2022), no. 6, 1501–1529
    arXiv | Journal
  11. Supersymmetric monoidal categories
    (with Andrew Snowden)
    arXiv
  12. The representation theory of Brauer categories I: triangular categories
    (with Andrew Snowden)
    Appl. Categ. Structures 30 (2022), 1203–1256
    arXiv | Journal
  13. VIC-modules over noncommutative rings
    (with Andrew Putman)
    Selecta Math. (N.S.) 28 (2022), no. 5, Art. 88
    arXiv | Journal
  14. Schubert varieties and finite free resolutions of length three
    (with Jerzy Weyman)
    Proc. Amer. Math. Soc. 149 (2021), 1943–1955.
    arXiv | Journal
  15. Sp-equivariant modules over polynomial rings in infinitely many variables
    (with Andrew Snowden)
    Trans. Amer. Math. Soc. 375 (2022), 1671–1701.
    arXiv | Journal
  16. Periodicity in the cohomology of finite general linear groups via q-divided powers
    (with Rohit Nagpal and Andrew Snowden)
    Trans. Amer. Math. Soc. 374 (2021), 5677–5696.
    arXiv | Journal
  17. Bi-graded Koszul modules, K3 carpets, and Green's conjecture
    (with Claudiu Raicu)
    Compos. Math. 158 (2022), no. 1, 33–56.
    arXiv | Journal
  18. Linear independence of powers
    (with Andrew Snowden)
    arXiv
  19. Small projective spaces and Stillman uniformity for cohomology of sheaves
    (with Daniel Erman and Andrew Snowden)
    Algebr. Geom. 8 (2021), no. 3, 374–388.
    arXiv | Journal
  20. Big polynomial rings with imperfect coefficient fields
    (with Daniel Erman and Andrew Snowden)
    Michigan Math. J. 70 (2021), 649–672.
    arXiv | Journal
  21. Generalizations of Stillman's conjecture via twisted commutative algebras
    (with Daniel Erman and Andrew Snowden)
    Int. Math. Res. Not. IMRN (2021), no. 16, 12281–12304.
    arXiv | Journal
  22. Strength and Hartshorne's conjecture in high degree
    (with Daniel Erman and Andrew Snowden)
    Math. Z. 297 (2021), 1467–1471.
    arXiv | Journal
  23. Big polynomial rings and Stillman's conjecture
    (with Daniel Erman and Andrew Snowden)
    Invent. Math. 218 (2019), no. 2, 413–439.
    arXiv | Journal
  24. An equivariant Hilbert basis theorem
    (with Daniel Erman and Andrew Snowden)
    Math. Res. Lett. 27 (2020), no. 1, 67–77.
    arXiv | Journal
  25. Stability in the homology of unipotent groups
    (with Andrew Putman and Andrew Snowden)
    Algebra Number Theory 14 (2020), no. 1, 119–154.
    arXiv | Journal
  26. Some generalizations of Schur functors
    (with Andrew Snowden)
    Proc. Amer. Math. Soc. 147 (2019), no. 1, 77–90.
    arXiv | Journal
  27. On the (non-)vanishing of syzygies of Segre embeddings
    (with Luke Oeding and Claudiu Raicu)
    Algebr. Geom. 6 (2019), no. 5, 571–591.
    arXiv | Journal
  28. Hilbert series for twisted commutative algebras
    (with Andrew Snowden)
    Algebraic Combinatorics 1 (2018), no. 1, 147–172.
    arXiv | Journal
  29. Homological vanishing for the Steinberg representation
    (with Avner Ash and Andrew Putman)
    Compos. Math. 154 (2018), no. 6, 1111–1130.
    arXiv | Journal
  30. Regularity bounds for twisted commutative algebras
    (with Andrew Snowden)
    Bull. Lond. Math. Soc. 52 (2020), no. 2, 299–315.
    arXiv | Journal
  31. Regularity of FI-modules and local cohomology
    (with Rohit Nagpal and Andrew Snowden)
    Proc. Amer. Math. Soc. 146 (2018), no. 10, 4117–4126.
    arXiv | Journal
  32. GL-equivariant modules over polynomial rings in infinitely many variables. II
    (with Andrew Snowden)
    Forum Math. Sigma 7 (2019), e5, 71pp.
    arXiv | Journal
  33. Invariant theory of ∧3(9) and genus 2 curves
    (with Eric M. Rains)
    Algebra Number Theory 12 (2018), no. 4, 935–957.
    arXiv | Journal
  34. Noetherianity of some degree two twisted skew-commutative algebras
    (with Rohit Nagpal and Andrew Snowden)
    Selecta Math. (N.S.) 25 (2019), no. 1, Art. 4, 26pp.
    arXiv | Journal
  35. Towards Boij-Söderberg theory for Grassmannians: the case of square matrices
    (with Nicolas Ford and Jake Levinson)
    Algebra Number Theory 12 (2018), no. 2, 285–303.
    arXiv | Journal
  36. Syzygies of bounded rank symmetric tensors are generated in bounded degree
    Math. Ann. 368 (2017), no. 3, 1095–1108.
    arXiv | Journal
  37. Questions about Boij–Söderberg theory
    (with Daniel Erman)
    Surveys on recent developments in algebraic geometry, 285–304,
    Proc. Sympos. Pure Math. 95, Amer. Math. Soc., Providence, RI, 2017.
    arXiv
  38. Vector bundles on genus 2 curves and trivectors
    (with Eric M. Rains)
    Algebr. Geom. 6 (2019), no. 3, 328–345.
    arXiv | Journal
  39. Infinite rank spinor and oscillator representations
    (with Andrew Snowden)
    J. Comb. Algebra 1 (2017), no. 2, 145–183.
    arXiv | Journal
  40. Combinatorial constructions of derived equivalences
    (with Daniel Halpern-Leistner)
    J. Amer. Math. Soc. 33 (2020), 735–773.
    arXiv | Journal
  41. Ideals of bounded rank symmetric tensors are generated in bounded degree
    Invent. Math. 207 (2017), no. 1, 1–21.
    arXiv | Journal
  42. Supernatural analogues of Beilinson monads
    (with Daniel Erman)
    Compos. Math. 152 (2016), no. 12, 2545–2562.
    arXiv | Journal
  43. Equations for the fifth secant variety of Segre products of projective spaces
    (with Luke Oeding)
    Exp. Math. 25 (2016), no. 1, 94–99.
    arXiv | Journal
  44. Noetherianity of some degree two twisted commutative algebras
    (with Rohit Nagpal and Andrew Snowden)
    Selecta Math. (N.S.) 22 (2016), no. 2, 913–937.
    arXiv | Journal
  45. Proof of Stembridge's conjecture on stability of Kronecker coefficients
    (with Andrew Snowden)
    J. Algebraic Combin. 43 (2016), no. 1, 1–10.
    arXiv | Journal
  46. The cone of Betti tables over three non-collinear points in the plane
    (with Iulia Gheorghita)
    J. Commut. Algebra 8 (2016), no. 4, 537–548.
    arXiv | Journal
  47. Representations of categories of G-maps
    (with Andrew Snowden)
    J. Reine Angew. Math. 750 (2019), 197–226.
    arXiv | Journal
  48. On Cohen-Macaulayness of Sn-invariant subspace arrangements
    (with Aaron Brookner, David Corwin, and Pavel Etingof)
    Int. Math. Res. Not. IMRN (2016), no. 7, 2104–2126.
    arXiv | Journal
  49. Gröbner methods for representations of combinatorial categories
    (with Andrew Snowden)
    J. Amer. Math. Soc. 30 (2017), 159–203.
    arXiv | Journal | Related documents
  50. Representation stability and finite linear groups
    (with Andrew Putman)
    Duke Math. J. 166 (2017), no. 13, 2521–2598.
    arXiv | Journal | Related documents
  51. Orthosymplectic Lie superalgebras, Koszul duality, and a complete intersection analogue of the Eagon-Northcott complex
    J. Eur. Math. Soc. (JEMS) 18 (2016), no. 12, 2691–2732.
    arXiv | Journal | Supplementary article
  52. Jacobi-Trudi determinants and characters of minimal affinizations
    Pacific J. Math. 272 (2014), no. 1, 237–244.
    arXiv | Journal
  53. Homology of analogues of Heisenberg Lie algebras
    Math. Res. Lett. 22 (2015), no. 4, 1223–1241.
    arXiv | Journal
  54. Representations of rational Cherednik algebras of G(m,r,n) in positive characteristic
    (with Sheela Devadas)
    J. Commut. Algebra 6 (2014), no. 4, 525–559.
    arXiv | Journal
  55. Jack polynomials as fractional quantum Hall states and the Betti numbers of the (k+1)-equals ideal
    (with Christine Berkesch and Stephen Griffeth)
    Comm. Math. Phys. 330 (2014), no. 1, 415–434.
    arXiv | Journal
  56. Tropicalization of classical moduli spaces
    (with Qingchun Ren and Bernd Sturmfels)
    Math. Comput. Sci. 8 (2014), no. 2, Special issue on computational algebraic geometry, 119–145.
    arXiv | Journal
  57. Littlewood complexes and analogues of determinantal varieties
    (with Jerzy Weyman)
    Int. Math. Res. Not. IMRN (2015), no. 13, 4663–4707.
    arXiv | Journal
  58. Stability patterns in representation theory
    (with Andrew Snowden)
    Forum Math. Sigma 3 (2015), e11, 108 pp.
    arXiv | Journal
  59. The cone of Betti tables over a rational normal curve
    (with Manoj Kummini)
    Commutative Algebra and Noncommutative Algebraic Geometry, 251–264,
    Math. Sci. Res. Inst. Publ., 68, Cambridge Univ. Press, Cambridge, 2015.
    arXiv | Book version
  60. Alternating trilinear forms on a 9-dimensional space and degenerations of (3,3)-polarized Abelian surfaces
    (with Laurent Gruson)
    Proc. Lond. Math. Soc. (3) 110 (2015), no. 3, 755–785.
    arXiv | Journal
  61. Homology of Littlewood complexes
    (with Andrew Snowden and Jerzy Weyman)
    Selecta Math. (N.S.) 19 (2013), no. 3, 655–698.
    arXiv | Journal
  62. The universal Kummer threefold
    (with Qingchun Ren, Gus Schrader, and Bernd Sturmfels)
    Exp. Math. 22 (2013), no. 3, 327–362.
    arXiv | Journal | Supplementary materials
  63. Derived supersymmetries of determinantal varieties
    J. Commut. Algebra 6 (2014), no. 2, 261–286.
    arXiv | Journal
  64. GL-equivariant modules over polynomial rings in infinitely many variables
    (with Andrew Snowden)
    Trans. Amer. Math. Soc. 368 (2016), 1097–1158.
    arXiv (*) | Journal
  65. Combinatorial realizations of crystals via torus actions on quiver varieties
    (with Peter Tingley)
    J. Algebraic Combin. 39 (2014), no. 2, 271–300.
    arXiv | Journal
  66. Koszul homology of codimension 3 Gorenstein ideals
    (with Jerzy Weyman)
    Proc. Amer. Math. Soc. 142 (2014), 401–408.
    arXiv | Journal
  67. Moduli of Abelian varieties, Vinberg θ-groups, and free resolutions
    (with Laurent Gruson and Jerzy Weyman)
    Commutative Algebra (edited by Irena Peeva), 419–469, Springer, 2013.
    arXiv | Book version
  68. Equations and syzygies of some Kalman varieties
    Proc. Amer. Math. Soc. 140 (2012), 4153–4166.
    arXiv | Journal
  69. Shapes of free resolutions over a local ring
    (with Christine Berkesch, Daniel Erman, and Manoj Kummini)
    Math. Ann. 354 (2012), no. 3, 939–954.
    arXiv | Journal
  70. Tensor complexes: Multilinear free resolutions constructed from higher tensors
    (with Christine Berkesch, Daniel Erman, and Manoj Kummini)
    J. Eur. Math. Soc. (JEMS) 15 (2013), no. 6, 2257–2295.
    arXiv | Journal
  71. Matrices with restricted entries and q-analogues of permutations
    (with Joel Brewster Lewis, Ricky Ini Liu, Alejandro H. Morales, Greta Panova, and Yan Zhang)
    J. Comb. 2 (2011), no. 3, 355–396.
    arXiv | Extended abstract | Journal
  72. Poset structures in Boij–Söderberg theory
    (with Christine Berkesch, Daniel Erman, and Manoj Kummini)
    Int. Math. Res. Not. IMRN (2012), no. 22, 5132–5160.
    arXiv | Journal
  73. Symmetric quivers, invariant theory, and saturation theorems for the classical groups
    Adv. Math. 229 (2012), no. 2, 1104–1135.
    arXiv | Journal
  74. Schubert complexes and degeneracy loci
    J. Algebra 337 (2011), 103–125.
    arXiv | Extended abstract | Journal
  75. Generalized Ehrhart polynomials
    (with Sheng Chen and Nan Li)
    Trans. Amer. Math. Soc. 364 (2012), 551–569.
    arXiv | Extended abstract | Journal
  76. Pieri resolutions for classical groups
    (with Jerzy Weyman)
    J. Algebra 329 (2011), Special issue celebrating the 60th birthday of Corrado De Concini, 222–259.
    arXiv (*) | Journal
  77. Positivity theorems for solid-angle polynomials
    (with Matthias Beck and Sinai Robins)
    Beiträge Algebra Geom. 51 (2010), no. 2, 493–507.
    arXiv | Journal | Corrigendum
  78. A finite calculus approach to Ehrhart polynomials
    (with Kevin M. Woods)
    Electron. J. Combin. 17 (2010), no. 1, Research Paper 68, 13pp.
    arXiv | Journal
  79. A bijective proof for a theorem of Ehrhart
    Amer. Math. Monthly 116 (2009), no. 8, 688–701.
    arXiv | Journal
  80. Grid graphs, Gorenstein polytopes, and domino stackings
    (with Matthias Beck and Christian Haase)
    Graphs Combin. 25 (2009), 409–426.
    arXiv | Journal
  81. Maximal periods of (Ehrhart) quasi-polynomials
    (with Matthias Beck and Kevin M. Woods)
    J. Combin. Theory Ser. A 115 (2008), 517–525.
    arXiv | Journal

Expository
  1. Structures in representation stability
    Notices Amer. Math. Soc. 67 (2020), no. 1, 38–43.
    arXiv | Journal
  2. Cubics in 10 variables vs. cubics in 1000 variables: Uniformity phenomena for bounded degree polynomials
    (with Daniel Erman and Andrew Snowden)
    Bull. Amer. Math. Soc. (N.S.) 56 (2019), no. 1, 87–114.
    arXiv | Journal
  3. Noetherian properties in representation theory
    Representations of algebras, 215–224, Contemp. Math., 705, Amer. Math. Soc., 2018.
    arXiv | Book version
  4. Introduction to twisted commutative algebras
    (with Andrew Snowden)
    arXiv

Appendices

  1. Appendix to: Representation stability for cohomology of configuration spaces in Rd
    (with Patricia Hersh and Vic Reiner)
    Int. Math. Res. Not. IMRN (2017), no. 5, 1433–1486.
    arXiv | Journal

Software

  1. Computing Schur complexes
    (with Michael K. Brown, Hang Huang, Robert P. Laudone, Michael Perlman, Claudiu Raicu, João Pedro Santos)
    J. Softw. Algebra Geom. 9 (2019), 111–119.
    arXiv | Journal
  2. Computing inclusions of Schur modules
    J. Softw. Algebra Geom. 1 (2009), 5–10.
    arXiv | Journal

Related documents

  1. The artinian conjecture (following Djament, Putman, Sam, and Snowden)
    Henning Krause wrote a self-contained exposition of the proof of the Lannes-Schwartz artinian conjecture which is given in papers #32 and #33.
  2. La propriété noethérienne pour les foncteurs entre espaces vectoriels [d'après A. Putman, S. Sam et A. Snowden]
    Aurélien Djament's Séminaire Bourbaki talk on the proof of the Lannes-Schwartz artinian conjecture which is given in papers #32 and #33.
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