Research
Research
Organization
Workshop: Infinite-dimensional geometry (June 1-3, 2026), co-organization with C. Kineider and D. Xu
Max Planck Institute for Mathematics in the Sciences, Leipzig, DE
Conference: Mapping Class Groups at KIAS (October 13-17, 2025), co-organization with S. Kim, S. Kwak, C.-F. Nyberg Brodda, and D. Xu
Korea Institute for Advanced Study, Seoul, KR
Selected publications
Published or accepted papers
On double brackets for marked surfaces
with M. Gekhtman, Math. Z. 312, 70 (2026). DOI: 10.1007/s00209-026-03963-3
On partial abelianization of framed local systems
with C. Kineider, Math. Ann. 392, 797–836 (2025). DOI: 10.1007/s00208-025-03093-x
On a parametrization of spaces of maximal framed representations
Séminaire de théorie spectrale et géométrie, Tome 37 (2021-2022), pp. 81-110. DOI: 10.5802/tsg.383
Symplectic groups over noncommutative algebras
with D. Alessandrini, A. Berenstein, V. Retakh, and A. Wienhard, Sel. Math. New Ser. 28, 82 (2022). DOI: 10.1007/s00029-022-00787-x
Noncommutative coordinates for symplectic representations
with D. Alessandrini, O. Guichard, and A. Wienhard, Mem. Amer. Math. Soc., 300(1504):vi+116, 2024. DOI: 10.1090/memo/1504
Monograph
Spectral Networks: Bridging higher-rank Teichmüller theory and BPS states
with C. Kineider, G. Kydonakis, V. Tatitscheff, and A. Thomas. Volume 2386 of Lecture Notes in Mathematics. Springer, Cham, 2025. arXiv
Preprints under review
Symplectic groups over Lie subgroups of involutive algebras
arXiv
Symmetric spaces for groups over involutive algebras and applications to Higgs bundles
with P. Huang, G. Kydonakis, and A. Wienhard, arXiv
Parametrizing spaces of positive representations
with O. Guichard and A. Wienhard, arXiv
Theses:
Doctoral thesis: Symplectic groups over noncommutative rings and maximal representation
Ruprecht-Karls-Universität Heidelberg, 2020. DOI: 10.11588/heidok.00028737
Master’s thesis: Spectral networks and Fock-Goncharov coordinates
Ruprecht-Karls-Universität Heidelberg, 2016.