Publications

1. Jason P. Bell, Sean Monahan, Matthew Satriano, Karen Situ, and Zheng Xie. There are no good infinite families of toric codes. Journal of Combinatorial Theory, Series A, Volume 213, July 2025, 106009.. pdf


2. Matthew Satriano and Jeremy Usatine. Crepant resolutions of log-terminal singularities via Artin stacks. Duke Mathematical Journal, accepted. pdf


3. Oliver Pechenik and Matthew Satriano. James reduced product schemes and double quasisymmetric functions, Advances in Mathematics, Volume 449, July 2024, 109737. pdf


4. Dan Edidin, Matthew Satriano, and Spencer Whitehead. On a smoothness characterization for good moduli spaces. Advances in Mathematics, Volume 442, April 2024, 109564. pdf


5. Matthew Satriano and Jeremy Usatine. A motivic change of variables formula for Artin stacks, Algebraic Geometry, accepted. pdf


6. Oliver Pechenik and Matthew Satriano. Proof of a conjectured Mobius inversion formula for Grothendieck polynomials. Selecta Mathematica, (2024), accepted. pdf


7. Jason Bell, Rahim Moosa, and Matthew Satriano. Invariant rational functions and translation varieties. Selecta Mathematica, (2024), accepted. pdf


8. Andrew Staal and Matthew Satriano. Galois closures and elementary components of Hilbert schemes of points. \emph{Selecta Mathematica}, Volume 30, article number 28, (2024). pdf


9. Eleonore Faber, Colin Ingalls, Shinnosuke Okawa, and Matthew Satriano. On stacky surfaces and noncommutative surfaces. Transactions of the American Mathematical Society , accepted. pdf


10. Dan Edidin and Matthew Satriano. Orbit recovery for band-limited functions, SIAM Journal on Applied Algebra and Geometry, Vol. 8, Iss. 3 (2024). pdf


11. Brian Lehmann, David McKinnon, and Matthew Satriano. Approximating rational points on surfaces, Proceedings of the American Mathematical Society, accepted (2024) pdf


12. Ron Cherny, Matthew Satriano, and Yohan Song. On the algebra generated by three commuting matrices: combinatorial cases, Electronic Journal of Combinatorics, accepted (2024) pdf


13. Matthew Satriano and Andrew P. Staal. Small elementary components of Hilbert schemes of points. Forum of Mathematics, Sigma, 11 (2023), Paper No. e45, 36 pp. pdf


14. Jordan Ellenberg, Matthew Satriano, and David Zureick-Brown. Heights on stacks and a generalized Batyrev-Manin-Malle conjecture. Forum of Mathematics, Sigma, 11 (2023), Article No. e14, 54 pp. pdf


15. Jason P. Bell, Yohsuke Matsuzawa, and Matthew Satriano. On Dynamical Cancellation. International Mathematics Research Notices, Int. Math. Res. Not. IMRN (2023), no. 8, 7099-7139. pdf


16. Matthew Satriano and Jeremy Usatine. Stringy invariants and toric Artin stacks. Forum of Mathematics, Sigma, Volume 10 , 2022 , E9. pdf


17. Nguyen-Bac Dang, Dragos Ghioca, Fei Hu, John Lesieutre, and Matthew Satriano. Higher arithmetic degrees of dominant rational self-maps. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, (5) 23 (2022), no. 1, 463-481. pdf


18. Matthew Satriano. Motivic Integration and Toric Stacks. Oberwolfach Reports 17 (2022), 43-46. pdf


19. John Lesieutre and Matthew Satriano. Canonical heights on hyper-Kahler varieties and the Kawaguchi-Silverman conjecture. International Mathematics Research Notices, Volume 2021, Issue 10, May 2021, Pages 7677-7714. pdf


20. Jason Bell, Dragos Ghioca, and Matthew Satriano. Dynamical Uniform Bounds for Fibers and a Gap Conjecture. International Mathematics Research Notices, IMRN 2021, no. 10, 7932-7946. pdf


21. David McKinnon and Matthew Satriano. Approximating rational points on toric varieties. Transactions of the American Math Society, 374 (2021), no. 5, 3557-3577. pdf Erratum


22. David McKinnon, Rindra Razafy, Matthew Satriano, and Yuxuan Sun. On curves with high multiplicity on P(a,b,c) for min(a,b,c) <= 4, New York Journal of Mathematics, (2021), accepted. pdf


23. Jiahui Huang, David McKinnon, and Matthew Satriano. What fraction of an S_n-orbit can lie on a hyperplane?. Linear Algebra and Its Applications, 613 (2021), 1-23. pdf


24. Jason P. Bell, Fei Hu, Matthew Satriano. Height Gap Conjectures, D-Finiteness, and a Weak Dynamical Mordell-Lang Conjecture. Mathematische Annalen, (2020), 20 pages, 378 (2020), no. 3-4, 971-992. pdf


25. Wei Ho and Matthew Satriano. Galois closures of non-commutative rings and an application to Hermitian representations. International Mathematics Research Notices, Volume 2020, Issue 21, November 2020, 7944-7974. pdf


26. Yoav Len and Matthew Satriano. Lifting tropical self intersections. Journal of Combinatorial Theory, Series A, 170 (2020), 105138, 21 pp. pdf


27. John Lesieutre and Matthew Satriano. A rational map with infinitely many points of distinct arithmetic degrees. Ergodic Theory and Dynamical Systems, 40 (2020), no. 11, 3051-3055. pdf


28. Dan Edidin and Matthew Satriano. Towards an Intersection Chow Cohomology Theory for GIT Quotients. Transformation Groups, 25 (2020), no. 4, 1103-1124. pdf


29. Jenna Rajchgot, Matthew Satriano, and Wanchun Shen. Some combinatorial cases of the three matrix analog of Gerstenhaber's theorem. Advances in Mathematical Sciences. Association for Women in Mathematics Series, vol 21. Springer, Cham. (2020). pdf


30. Dragos Ghioca and Matthew Satriano. Density of orbits of dominant regular self-maps of semiabelian varieties. Transactions of the American Mathematical Society, 371 (2019), no. 9, 6341-6358. pdf


31. J. William Helton, Kyle P. Meyer, Vern I. Paulsen, and Matthew Satriano. Algebras, Synchronous Games and Chromatic Numbers of Graphs. New York Journal of Mathematics, 25 (2019), 328-361. pdf


32. Jenna Rajchgot and Matthew Satriano. New classes of examples satisfying the three matrix analog of Gerstenhaber's theorem. Journal of Algebra, 516 (2018), 245-270. pdf


33. Dan Edidin and Matthew Satriano. Strong cycles and intersection products on good moduli spaces. K-Theory - Proceedings of the International Colloquium, Mumbai, 2016, 223-238, Hindustan Book Agency, New Delhi, 2018. pdf


34. Anton Geraschenko and Matthew Satriano. A "Bottom Up" characterization of smooth Deligne-Mumford stacks. International Mathematics Research Notices, 2017, no. 21, 6469-6483. pdf


35. Jason P. Bell, Dragos Ghioca, Zinovy Reichstein, and Matthew Satriano. On the Medvedev-Scanlon conjecture for minimal threefolds of non-negative Kodaira dimension. New York Journal of Mathematics, 23 (2017), 1185-1203. pdf


36. Jason P. Bell, Matthew Satriano, and Susan J. Sierra, On a dynamical Mordell-Lang conjecture for coherent sheaves. Journal of the London Mathematical Society, 2017, (2) 96 (2017), no. 1, 28-46. pdf


37. Matthew Satriano. When is a variety the quotient of a smooth variety by a finite group?. Oberwolfach Reports 19 (2016), 992-996. pdf


38. Benjamin Linowitz, Matthew Satriano, and Roope Vehkalahti. A non-commutative analogue of the Odlyzko bounds and bounds on performance for space-time lattice codes. IEEE Trans. Inform. Theory, 61 (2015), no. 4, 1971-1984. pdf


39. Anton Geraschenko and Matthew Satriano. Torus quotients as global quotients by finite groups. Journal of the London Mathematical Society (2) 92 (2015), no. 3, 736-759. pdf


40. Anton Geraschenko and Matthew Satriano. Toric stacks I: The theory of stacky fans. Trans. Amer. Math. Soc., 367 (2015), no. 2, 1033-1071. pdf


41. Anton Geraschenko and Matthew Satriano. Toric Stacks II: Intrinsic characterization of toric stacks. Trans. Amer. Math. Soc., 367 (2015), no. 2, 1073-1094. pdf Erratum


42. Manjul Bhargava and Matthew Satriano. On a notion of "Galois closure" for extensions of rings. Journal of the European Mathematical Society, 16 (2014), no. 9, 1881-1913. pdf


43. Christian Liedtke and Matthew Satriano. On the birational nature of lifting. Advances in Mathematics, 254 (2014), 118-137. pdf


44. Dan Abramovich, Qile Chen, Danny Gillam, Yuhao Huang, Martin Olsson, Matthew Satriano, and Shenghao Sun. Logarithmic Geometry and Moduli. Handbook of moduli. Vol. I, 1-61, Adv. Lect. Math. (ALM), 24, Int. Press, Somerville, MA, 2013. pdf


45. Dan Edidin, Anton Geraschenko, and Matthew Satriano. There is no degree map for 0-cycles on Artin stacks. Transformation Groups, 18 (2013), no. 2, 385-389. pdf


46. Qile Chen and Matthew Satriano. Chow quotients of toric varieties as moduli of stable log maps. Algebra & Number Theory, 7 (2013), no. 9, 2313-2329. pdf


47. Matthew Satriano. Canonical Artin stacks over log smooth schemes. Mathematische Zeitschrift (2013), no. 3-4, 779-804. pdf


48. Matthew Satriano. de Rham theory for tame stacks and schemes with linearly reductive singularities. Annales de l'Institut Fourier, 62, No. 6, 2013-2051 (2012). pdf


49. Matthew Satriano. The Chevalley-Shephard-Todd theorem for finite linearly reductive group schemes. Algebra & Number Theory, 6 (2012), no. 1, 1-26. pdf

Submitted Preprints

49. Christopher Manon, David McKinnon, and Matthew Satriano. Curves of best approximation on wonderful varieties, (2025) pdf


50. Christian Liedtke and Matthew Satriano. On rational double points over nonclosed fields, (2025) pdf


51. Dori Bejleri, Elden Elmanto, Matthew Satriano. Proper splittings and projectivity for good moduli spaces, (2024) pdf


52. Jason P. Bell, Sean Monahan, Matthew Satriano, Karen Situ, and Zheng Xie. There are no good infinite families of toric codes, (2024) pdf


53. Changho Han, Jesse Leo Kass, and Matthew Satriano. Extending the Torelli map to alternative compactifications of the moduli space of curves, (2024) pdf


54. Matthew Satriano and Jeremy Usatine. Beyond twisted maps: applications to motivic integration. pdf


55. Matthew Satriano and Jeremy Usatine. Motivic integration for singular Artin stacks (2023). pdf


56. Sean Monahan* and Matthew Satriano. Approximating rational points on horospherical varieties. (2023) pdf


57. Jason Bell, Colin Ingalls, Rahim Moosa, Matthew Satriano. A differential analogue of the wild automorphism conjecture. (2022), 7 pages. pdf


58. Dori Bejleri, Jun-Yong Park, Matthew Satriano. Height moduli on cyclotomic stacks and counting elliptic curves over function fields. (2022), 56 pages, submitted. pdf


59. Oliver Pechenik and Matthew Satriano. Combinatorial models for the cohomology and K-theory of some loop spaces. (2022), 30 pages, submitted. pdf

Mathematical Biology Publications

60. Sabina J. Haque, Matthew Satriano, Mirunaca Stefana Sorea, Polly Y. Yu. The disguised toric locus and affine equivalence of reaction networks SIAM Journal on Applied Dynamical Systems}, 22 (2023), no. 2, 1423--1444. pdf


61. Sherman TD, Kagohara LT, Cao R, Cheng R, Satriano M, Considine M, et al. CancerInSilico: An R/Bioconductor package for combining mathematical and statistical modeling to simulate time course bulk and single cell gene expression data in cancer. PLOS Computational Biology (2019). pdf

Textbooks

Kenneth R. Davidson and Matthew Satriano. \emph{Integer and Polynomial Algebra}, Mathematical World, 31, American Mathematical Society, Providence, RI, 2023, xi+185 pp.