Research

My interests: model theory, neostability, Galois theory, difference and differential algebra

Publications in non peer-reviewed journals

(1) D.M. Hoffmann, PAC in nutshell, RIMS Kôkyûroku, No. 2119, July 2019

(2) D.M. Hoffmann, Independence vs rank, RIMS Kôkyûroku, No. 2218, May 2022

(3) D.M. Hoffmann, On Weak Independence Theorem, RIMS Kôkyûroku, No. 2249, April 2023

Publications

(1) D.M. Hoffmann, P. Kowalski, Integrating Hasse-Schmidt derivations, Journal of Pure and Applied Algebra (2015), doi: 10.1016/j.jpaa.2014.05.024

(2) D.M. Hoffmann, P. Kowalski, A note on extending actions of infinitesimal group schemes, Journal of Algebra (2016), doi: 10.1016/j.jalgebra.2015.08.031

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

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

(5) D.M. Hoffmann, P. Kowalski, Existentially closed fields with finite group actions, Journal of Mathematical Logic (2018), doi: 10.1142/S0219061318500034

(6) D.M. Hoffmann, Model theoretic dynamics in Galois fashion, Annals of Pure and Applied Logic (2019), doi: 10.1016/j.apal.2019.02.002 [ERRATUM]

(7) Ö. Beyarslan, D.M. Hoffmann, M. Kamensky, P. Kowalski, Model theory of fields with free operators in positive characteristic, TAMS (2019), doi: 10.1090/tran/7896

(8) D.M Hoffmann, On Galois groups and PAC substructures, Fundamenta Mathematicae (2020), doi: 10.4064/fm788-10-2019

(9) Ö. Beyarslan, D.M. Hoffmann, G. Onay, D. Pierce, Fields with automorphism and valuation, Archive for Mathematical Logic (2020), doi: 10.1007/s00153-020-00728-5

(10) J. Dobrowolski, D.M. Hoffmann, J. Lee, Elementary Equivalence Theorem for PAC structures, Journal of Symbolic Logic (2020), doi: 10.1017/jsl.2020.61

(11) D.M. Hoffmann, O.L. Sánchez, Model theory of differential fields with finite group actions, Journal of Mathematical Logic (2021), doi: 10.1142/S0219061322500027

(12) D.M. Hoffmann, Ch.-M. Tran, J. Ye, Stable formulas in ordered structures, Israel Journal of Mathematics (2022), doi: 10.1007/s11856-022-2398-z

(13) D.M. Hoffmann, P. Kowalski, Model theory of fields with finite group scheme actions, Journal of Symbolic Logic (2022), doi: 10.1017/jsl.2022.21

(14) D.M. Hoffmann, A. Pillay, Thorn forking, weak normality, and theories with selectors, Journal of Symbolic Logic (2023), doi: 10.1017/jsl.2023.64

(15) D.M Hoffmann, J. Lee, Co-theory of sorted profinite groups for PAC structures, Journal of Mathematical Logic (2023), doi: 10.1142/S0219061322500301

(16) D.M. Hoffmann, Witt vectors and separably closed fields with higher derivations, Notre Dame Journal of Formal Logic (2023), doi: 10.1215/00294527-10672034

(17) D.M. Hoffmann, P. Kowalski, PAC structures as invariants of finite group actions, Journal of Symbolic Logic (2023), doi: 10.1017/jsl.2023.76

Preprints

(1) J. Dobrowolski, D.M. Hoffmann, On rank not only in NSOP1 theories

(2) A. Codenotti, D.M. Hoffmann, Ranks in Ellis semigroups and model theory

(3) D.M. Hoffmann, P. Kowalski, Ch.-M. Tran, J. Ye, Of model completeness and algebraic groups

Slides and/or recordings

(2020) Manchester Logic Seminar, Around PAC structures

(2020) Notre Dame Model Theory Seminar, Stable formulas in RCF

(2021) Kolchin Seminar in Differential Algebra, Fields with derivations and action of finite group (YouTube)

(2021) Logic Colloquium, Kim-independence and ranks

(2022) Second Graduate Students' workshop on Algebra, Logic and Analysis in Szczecin, Structures with finite group action