
	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.
Furthermore, I am an associated member of the DFG-funded SFB 1085 Higher Invariants.
My research is about various aspects of weights in arithmetic geometry.
In the past, I contributed to research on many-body 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)

Previous teaching

Winter term 24/25: Exercise class Algebra
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

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: November 21, 2025