Research

Published or accepted papers:

• On a parametrization of spaces of maximal framed representations

to appear in Actes du séminaire de Théorie spectrale et géométrie, arXiv

• On partial abelianization of framed local systems

with C. Kineider, Math. Ann., 392(1):797–836, 2025.

• Symplectic groups over noncommutative algebras

with D. Alessandrini, A. Berenstein, V. Retakh, and A. Wienhard, Selecta Math. (N.S.), 28(4): Paper No. 82, 2022.

• Noncommutative coordinates for symplectic representations 

with D. Alessandrini, O. Guichard, and A. Wienhard, Mem. Amer. Math. Soc., 300(1504):vi+116, 2024.

• On the possibility of constructing a curve for a given group of homeomorphisms

Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 3, 218–229, 2012.

• On the connection of geometric properties of curves and properties of their motion groups

Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 3, 227–233, 2010.

Preprints under review:

• Symmetric spaces for groups over involutive algebras and applications to Higgs bundles

with P. Huang, G. Kydonakis, and A. Wienhard, arXiv

• On double brackets for marked surfaces

with M. Gekhtman, arXiv

• Parametrizing spaces of positive representations 

with O. Guichard and A. Wienhard, arXiv

Monographs:

• 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

Theses:

• Doctoral thesis: Symplectic groups over noncommutative rings and maximal representation

Ruprecht-Karls-Universität Heidelberg, 2020

• Master’s thesis: Spectral networks and Fock-Goncharov coordinates

Ruprecht-Karls-Universität Heidelberg, 2016