Daniel Max Hoffmann

Guest Assistant Professor


Ph.D. University of Wrocław, 2018
M.S., University of Wrocław, 2012
B.S., University of Wrocław, 2010


Research Interests

I study topics in pure model theory (a branch of mathematical logic) which are related to phenomena common in theory of fields. For example, I am interested in development of the general Galois theory, where "general" means that it will be applicable in arbitrary structures (ok... not so arbitrary...). Moreover, I would like to learn more about new notions from model-theoretic neo-stability.

Selected Publications

  • D.M. Hoffmann, P. Kowalski, Existentially closed fields with G-derivations, Journal of the London Mathematical Society (3) 93 (2016), 590-618, doi: 10.1112/jlms/jdw009

  • D.M. Hoffmann, On existence of canonical G-bases, Nagoya Mathematical Journal, (2017) 1-31. doi:10.1017/nmj.2017.25

  • D.M. Hoffmann, P. Kowalski, Existentially closed fields with finite group actions, Journal of Mathematical Logic Vol. 18, No. 01, 1850003 (2018), doi: 10.1142/S0219061318500034

  • D.M. Hoffmann, Model theoretic dynamics in Galois fashion, Annals of Pure and Applied Logic Vol. 170 Issue 7 (2019), 755-804, https://doi.org/10.1016/j.apal.2019.02.002

  • Ö. Beyarslan, D.M. Hoffmann, M. Kamensky, P. Kowalski, Model theory of fields with free operators in positive characteristic, Transactions of the American Mathematical Society (8) 372 (2019), 5991-6016, doi: 10.1090/tran/7896