Carolyn Echter
Fakultät für Mathematik
Universität Regensburg
93040 Regensburg
Germany
Email: carolyn.echter (at) mathematik.uni-regensburg.de
Office: M002A
General
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 are in Arithmetic Geometry. In addition to mathematics, I am also interested in aspects of quantum physics.
Teaching
As scientific employee
- Summer term 25:
- Assistant for Commutative Algebra
- Seminar Arithmetic of quadratic forms (with Yuenian Zhou)
- Winter term 24/25: Exercise class Algebra
As student assistant
- Summer term 24: Exercise class Linear Algebra II
- Winter term 23/24: Exercise class Linear Algebra I
- Summer term 23: Exercise class Linear Algebra II
- Summer term 22: Exercise class Calculus II for Physics
- Winter term 20/21: Exercise class Mathematical Methods in Physics
Research
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)
|
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
arXiv:2501.02918 (January 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 updated: March 8, 2025