Sophie Marques

Papers

• When are permutation invariants cohen-macaulay over all fields? (with Ben Blum Smith). Accepted for publication in Algebra and Number Theory, to appear soon), (2018)
  
  
  
• An explicit triangular integral basis for any separable cubic extension of a function field (with Kenneth Ward), European Journal of Mathematics DOI: https://doi.org/10.1007/ s40879-018-0243-z., (2018)
  
  
  
• Cubic fields: a primer (with Kenneth Ward). European Journal of Mathematics, DOI: https://doi.org/10.1007/s40879-018-0258-5, (2018)
  
  
  
• Holomorphic differentials of solvable Galois towers of curves over a perfect field (joint with Kenneth Ward). Mathematische Nachrichten, DOI: https://doi.org/10.1002/mana.201500347, (2018)
  
  
  
• Generic polynomials for cyclic function field extensions over certain finite fields. European Journal of Mathematics, 4(2):585-602, DOI: https://doi.org/10.1007/s40879-017-0188-7, (2017)
  
  
  
• Existence of slices on a tame context. European Journal of Mathematics, 1(1):54-77, DOI: https://doi.org/10.1007/s40879-014-0022-4, (2015)
  
  
  
• Tame actions of affine group schemes and tame stacks. C. R. Acad. Sci. Paris. Ser., I, 350 (3-4):125-128, DOI: https://doi.org/10.1016/j.crma.2012.01.020
  
  
  

Preprint

• Cubic fields: A primer (joint with Kenneth Ward)
  Full version, Arxiv: https: //arxiv.org/pdf/1703.06219.pdf (2017)
  
  
  
• A complete classification of cubic function fields over any field (joint with Kenneth Ward) Arxiv:https://arxiv.org/pdf/1612.03534.pdf (2017)
  
  
  

PhD Thesis (Defended, 2013)

• Tame action on affine group schemes and tame stacks.

Lecture notes in Linear algebra

• In preparation with Prof. Frederick Greenleaf: 2014-now
  Lecture notes in Linear algebra.

Master thesis students

• By Timmy Shum, 2017
  An Introduction to the Nonnegative Inverse Eigenvalue Problem with an Algorithm for the RNIEP.