Publications of Julia Hartmann


Papers

  • Differential Galois groups over Laurent series fields. With A. Bachmayr and D. Harbater. Proceedings of the London Mathematical Society, vol. 112, no.3 (2016), 455-476.
  • Local-Global Principles for Torsors over Arithmetic Curves. With D. Harbater and D. Krashen. American Journal of Mathematics, vol 137, no. 6 (2015), 1559-1612.
  • Local-global principles for Galois cohomology. With D. Harbater and D. Krashen. Commentarii Math. Helv., vol. 89, no. 1 (2014), 215-253.
  • Weierstrass Preparation and Algebraic Invariants. With D. Harbater and D. Krashen. Math. Ann. 356, Issue 4 (2013), 1405--1424.
  • Patching Subfields of Division Algebras. With D. Harbater and D. Krashen. Trans. Amer. Math. Soc. 363 (2011), no. 6, 3335--3349.
  • Patching over Fields. With D. Harbater.
    Israel J. Math. 176 (2010), 61--107.
  • Applications of Patching to Quadratic Forms and and Central Simple Algebras. With D. Harbater and D. Krashen.
    Invent. Math. 178 (2009), No.2, 231--263.
  • A Local-Global Principle for Algebraic Group Actions and Applications to Quadratic Forms (joint with David Harbater, Daniel Krashen).
    In: Quadratic Forms and Linear Algebraic Groups, Oberwolfach reports 25/2009, European Mathematical Society.
  • A Local-Global Principle for Homogeneous Spaces and Applications (joint with David Harbater, Daniel Krashen).
    In: Field Arithmetic, Oberwolfach reports 5/2009, European Mathematical Society.
  • Jacobians of Reflection Groups. With Anne V. Shepler .
    Trans. Amer. Math. Soc. 360, No.1, 123-133 (2008).
  • Patching and differential Galois groups (joint work with David Harbater).
    In: Arithmetic and Differential Galois Groups, Oberwolfach reports 4, No.2, European Mathematical Society (2007).
  • On the inverse problem in differential Galois theory.
    J. Reine Angew. Math. (Crelle) 586, 21--44 (2005).
  • Invariants and Differential Galois Groups in Degree 4
    In: Differential Galois Theory, Banach Center Publications Vol. 58, T. Crespo and Zbigniew Hajto (eds.), 2002.
  • Transvection Free Groups and Invariants of Polynomial Tensor Exterior Algebras
    Transformation Groups, Vol. 6, No. 2, 2001, pp. 157-164

Notes etc.

  • Division algebras and patching (with D. Harbater) . Lecture notes for the 2012 Arizona Winter School. 2012 manuscript.
  • Symmetrien von Differentialgleichungen. In: Facettenreiche Mathematik, Katrin Wendland, Annette Werner (eds.), Vieweg+Teubner 2011.

Dissertation




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