Publications

Refereed publications

1. Embedding the prime model of real exponentiation into o-minimal exponential fields, Bull. Lond. Math. Soc. 56 (2024) 907–913, doi:10.1112/blms.12972.

2. Definable valuations on ordered fields (with Philip Dittmann, Franziska Jahnke and Salma Kuhlmann), Model Theory 2 (2023) 101–120, doi:10.2140/mt.2023.2.101. — Review Zbl 07721466.

3. Definability of henselian valuations by conditions on the value group (with Salma Kuhlmann and Moritz Link), J. Symb. Log. 88 (2023) 1064–1082, doi:10.1017/jsl.2022.34. — Review MR4636625, Zbl 07735945.

4. On Rayner structures (with Salma Kuhlmann and Michele Serra), Comm. Algebra 50 (2022) 940–948, doi:10.1080/00927872.2021.1976789. — Review MR4379648, Zbl 1483.13039.

5. Strongly NIP almost real closed fields (with Salma Kuhlmann and Gabriel Lehéricy), Math. Log. Q. 67 (2021) 321–328, doi:10.1002/malq.202000060. — Review MR4370208, Zbl 07736844.

6. Ordered fields dense in their real closure and definable convex valuations (with Salma Kuhlmann and Gabriel Lehéricy), Forum Math. 33 (2021) 953–972, doi:10.1515/forum-2020-0030. — Review MR4279111, Zbl 07502402.

7. Models of true arithmetic are integer parts of models of real exponentiation (with Merlin Carl), J. Log. Anal. 13:3 (2021) 21 Seiten, doi:10.4115/jla.2021.13.3. — Review MR4257176, Zbl 1493.03005

8. Value groups and residue fields of models of real exponentiation, J. Log. Anal. 11:1 (2019) 23 Seiten, doi:10.4115/jla.2019.11.1. — Review MR3978729, Zbl 1459.13015.

Theses

Habilitation

Ordered Algebraic Structures: Hahn Fields, Convex Valuations, and Exponentials (October 2023)

Mentor: Prof. Salma Kuhlmann
Referees: MCF Dr Mickaël Matusinski, Prof. Tobias Kaiser,  Prof. Immanuel Halupczok
Habilitation commission: Prof. Salma Kuhlmann (chair), Prof. Jochen Glöckner, Prof. Sven Kosub, Prof. Stephan Schumann and all professors of the Dapartment of Mathematics and Statistics of the University of Konstanz (see Habilitation regulations)

University of Konstanz
Further material: Habilitation talk Künstliche neuronale Netze und Vapnik–Chervonenkis-Dimensionen (Announcement)
Habilitation thesis will be shared upon request

Dissertation

Algebraic and Model Theoretic Properties of O-minimal Exponential Fields (July 2019)

published in KOPS (2019), urn:nbn:de:bsz:352-2-166bghaubh8tf9.

Supervisor and first referee: Prof. Salma Kuhlmann

Second referee: Prof. Tobias Kaiser

Doctoral committee: Prof. Claus Scheiderer (chair), Prof. Salma Kuhlmann, Prof. Tobias Kaiser

Universität Konstanz

Further material: report on the significant foundation, contents and results, colloquium presentation

Masterarbeit

Schanuel's Conjecture and Exponential Fields (March 2015)
Betreuer: Prof. Dr. Jonathan Pila
University of Oxford

Weiteres: Aktualisierte Version, Résumé

Bachelorarbeit

Constructions of the real numbers – a set theoretical approach (March 2014)
Betreuer: Dr. Peter M. Neumann, DSc
University of Oxford
Weiteres: Aktualisierte Version, Präsentation