Carolin Bayer

Carolin Bayer

Ph.D. candidate

Mathematics, ETH Zürich

My research interested are in Geometric Analysis, focusing on PDEs and Calculus of Variation.
I am currently working on conformally invariant problems, especially in the critical case.

I am a Ph.D. candidate in Mathematics at ETH Zürich under supervision of
Francesca da Lio and co-supervision of Tristan Rivière.
Prior, I obtained my M.Sc. and B.Sc. in Mathematics from KIT.

Feel free to reach out at any time 😃.

Publications

Full list on Google Scholar.

2026

Regularity and Rivière’s GL(m)-Gauge Construction for Elliptic Systems
with Antisymmetric Potentials in Arbitrary Dimensions.

Preprint. 2026.

Paper

2025

Energy Identity and No Neck Property for ε-harmonic and α-harmonic Maps into Homogeneous Target Manifolds

Calc. Var. Partial Differential Equations, Volume 65, Article 57. 2026.

Paper

2026

Regularity and Rivière’s GL(m)-Gauge Construction for Elliptic Systems
with Antisymmetric Potentials in Arbitrary Dimensions.

Preprint. 2026.

Paper

2025

Energy Identity and No Neck Property for ε-harmonic and α-harmonic Maps into Homogeneous Target Manifolds

Calc. Var. Partial Differential Equations, Volume 65, Article 57. 2026.

Paper

Teaching

Spring 2026

Functional Analysis 2

Graduate Course · Teaching Assistant

Fall 2025/26

Functional Analysis 1

Undergraduate Course · Coordinator

Talks & Presentations

Sep 2026

Presentation of my latest publication

Invited talk · Young Researchers Meeting on PDEs III. Università degli Studi di Milano-Bicocca.

Jan 2025

Poster presentation of my latest publication

Poster presentation · Winter School on Calculus of Variations and PDE's in Geometric Analysis. Sapienza Università di Roma.

Workshops & Schools

Jun 2026

Workshop on Geometry

Workshop · Mathematisches Forschungsinstitut Oberwolfach

Feb 2025

Winter School on Calculus of Variations and PDE's in Geometric Analysis

Winter school · Sapienza Università di Roma.

Curriculum Vitae

Full CV in PDF.

ETH ZürichPh.D. candidate
Mathematics
Sep 2025 - Present
Karlsruhe Institute of TechnologyPh.D. candidate
Mathematics
Sep 2024 - Feb 2025
Karlsruhe Institute of TechnologyTeaching Assistant
Mathematics for Economics
Oct 2023 - Mar 2024
Karlsruhe Institute of TechnologyM.Sc. Student
Mathematics
First Class Honours
Oct 2022 - Jul 2024
SAPStudent Researcher
Department of Cyber-Security
Sep 2022 - Aug 2023
Karlsruhe Institute of TechnologyTeaching Assistant
Mathematics for Economics
Apr 2022 - Apr 2023
Karlsruhe Institute of TechnologyB.Sc. Student
Mathematics
Honours
Oct 2019 - Jul 2022