
	Fakultät für Mathematik	Universität Regensburg

Carolyn Echter

Fakultät für Mathematik
Universität Regensburg
93040 Regensburg
Germany

Email: carolyn.echter (at) mathematik.uni-regensburg.de
Office: M 230

I am a PhD student in mathematics at Regensburg University supervised by Prof. Dr. Moritz Kerz and co-supervised by Prof. Dr. Niko Naumann. Furthermore, I am an associated member of the SFB 1085 Higher Invariants, which is funded by the DFG. My research interests lie in arithmetic geometry as well as at the interface between algebraic geometry and category theory. In the past, I contributed to research on statistical aspects of quantum physics.

Teaching

Winter term 25/26:
- Exercise class Algebraic Number Theory (lecture course by Niko Naumann)
- Examenskurs Algebra und Zahlentheorie (jointly with Christoph Fronhöfer)
Summer term 25:
- Assistant for Kommutative Algebra (lecture course by Christoph Winges)
  Notizen zur Zentralübung
- Seminar Arithmetic of quadratic forms (jointly with Yuenian Zhou)
Winter term 24/25: Exercise class Algebra (lecture course by Ulrich Bunke)

Previous teaching

Summer term 24: Exercise class Lineare Algebra II
Winter term 23/24: Exercise class Lineare Algebra I
Summer term 23: Exercise class Lineare Algebra II
Summer term 22: Exercise class Analysis II für Physik
Winter term 20/21: Exercise class Mathematische Methoden in der Physik
Tutor for Brückenkurs Mathematik (mathematics preparatory course) 2019, 2021, 2023, 2024, 2025

Research

Ensemble-averaged mean-field many-body level density: an indicator of integrable versus chaotic single-particle dynamics
with G. Maier, J. D. Urbina, C. Lewenkopf and K. Richter
Phys. Rev. E 111 054202 (May 2025)
arXiv:2501.02918

Many-body density of states of bosonic and fermionic gases: a combinatorial approach
with G. Maier, J. D. Urbina, C. Lewenkopf and K. Richter
J. Phys. A: Math. Theor. 58 065002 (February 2025)
arXiv:2409.08696

Other scientific activities

Co-organisation of Windberg Junior SFB Meeting, October 15-18, 2025

Short CV

December 2024 - present:	PhD student in Mathematics, Regensburg University
October 2024:	Master of Science in Mathematics, Regensburg University
September 2023:	Master of Science in Physics, Regensburg University
August 2021:	Bachelor of Science in Physics, Regensburg University
May 2018:	Nichtschülerabitur Hessen

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Last modified: September 10, 2025