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Publications of Andreas Maurischat
Papers
(Preprints of all papers are available from arXiv at http://arxiv.org.)
- Reduced group schemes as iterative differential Galois groups, 2020
in Israel Journal of Mathematics (2020), pp. 1-19
DOI: 10.1007/s11856-020-2019-7 - An integral digit derivative basis for Carlitz prime power torsion extensions
joint with Rudolph Perkins
in Publications Mathématiques de Besançon, no. 1 (2019), pp. 131-149 - On field extensions given by periods of Drinfeld modules
in Archiv der Mathematik 113 (2019), pp. 247-254
DOI: 10.1007/s00013-019-01339-0 - Torsion group schemes as iterative differential Galois groups
in Contributions to Algebra and Geometry 60(4), (2019), pp. 627-643
DOI: 10.1007/s13366-019-00440-3 - A chain rule formula for higher derivations and inverses of polynomial maps
in Communications in Algebra, Vol. 47, Issue 7 (2019), pp. 2617-2633
DOI: 10.1080/00927872.2018.1530243 - Periods of t-modules as special values
in Journal of Number Theory, David Goss Memorial Issue (2018),
DOI: 10.1016/j.jnt.2018.09.024 - Prolongations of t-motives and algebraic independence of periods
in Documenta Mathematica 23 (2018), pp. 815-838
DOI: 10.25537/dm.2018v23.815-838 - A categorical approach to Picard-Vessiot theory
in Theory and Applications of Categories, Vol. 32, No. 14 (2017), pp. 488–525 - Non-free iterative differential modules
in ACM Communications of Computer Algebra, Vol. 50, no. 4, Issue 198 (2016), pp. 126-135
DOI: 10.1145/3055282.3055283 - Picard-Vessiot theory of differentially simple rings
in Journal of Algebra 409 (2014), pp. 162-181
DOI: 10.1016/j.jalgebra.2014.04.005 - On the finite inverse problem in iterative differential Galois theory
in Geometric and differential Galois theories
D. Bertrand, Ph. Boalch, J-M. Couveignes, P. Dèbes
Séminaires et Congrès 27 (2013) - On the finite generation of additive group invariants in positive characteristic
joint with Emilie Dufresne
in Journal of Algebra 324 (2010), no. 8, pp. 1952-1963
DOI: 10.1016/j.jalgebra.2010.05.023 - Infinitesimal group schemes as iterative differential Galois groups
in Journal of Pure and Applied Algebra 214 (2010), no. 11, pp. 2092-2100
DOI: 10.1016/j.jpaa.2010.02.022 - Galois theory of iterative connections and nonreduced Galois groups
in Transactions of the AMS, 362 (2010), no. 10, pp. 5411-5453
DOI: 10.1090/S0002-9947-2010-04966-9 - Iterative connections and Abhyankar's conjecture
in: Arithmetic and Differential Galois Groups, Oberwolfach reports 4, No.2, 2007, European Mathematical Society (2007)
DOI: 10.4171/OWR/2007/26
Preprints etc.
- Taylor coefficients of Anderson generating functions and Drinfeld torsion extensions
joint with Rudy Perkins
available from arXiv at http://arxiv.org/abs/2008.07136 - Special functions and Gauss-Thakur sums in higher rank and dimension
joint with Quentin Gazda
available from arXiv at http://arxiv.org/abs/1903.07302 - Anderson t-modules with thin t-adic Galois representations
available from arXiv at https://arxiv.org/abs/1907.05144
Habilitation Thesis
Dissertation
- Iterative Connections and Abhyankar's Conjecture, DOI: 10.11588/heidok.00007179
available from University Library of Heidelberg at http://www.ub.uni-heidelberg.de/archiv/7179
Books
- Voller Knobeleien. Mathematischer Korrespondenzzirkel Göttingen
(erarbeitet von Wolfgang Barthel, Andreas Röscheisen, Karsten Roeseler, Robert Strich, Kristin Stroth und Barbara Zwicknagl)
Universitätsdrucke Göttingen.
Reports
- Report for the workshop ``Arithmetic and Differential Galois Groups'', in Oberwolfach reports 4, No.2, 2007, European Mathematical Society (2007)