Hello! I am a postdoc at Georgetown University since September 2025.
My research interests revolve around the calculus of variations, linear PDE constraints and geometric measure theory, with a particular interest in regularity theory and PDE-constrained measures.
Below you can find
A list of my preprints and publications
A short CV
My email is ci152 [at] georgetown [dot] edu.
(July 2024, TU Dortmund)
Admissibility criteria for normal traces and Cauchy fluxes, with Akram Sharif,
Preprint, 2026. arXiv.
Partial regularity for A-quasiconvex variational problems of linear growth, with Zhuolin Li and Bogdan Raiţă,
Preprint, 2026. arXiv.
Extended Divergence-Measure Fields, the Gauss-Green Formula, and Cauchy Fluxes, with Gui-Qiang G. Chen and Monica Torres,
Arch. Ration. Math. Anal., 249.6 (2025). arXiv, DOI
Universality of renormalisable mappings in two dimensions: the case of polar convex integrands, with Benoît Van Vaerenbergh,
Adv. Calc. Var., 18.4 (2025). arXiv, DOI
On the normal trace space of extended divergence measure fields,
Preprint, to appear in Indiana U. Math. J., 2025. arXiv
Partial regularity for minima of higher-order quasiconvex integrands with natural Orlicz growth,
Ann. Mat. Pura Appl., 204.4 (2025). arXiv, DOI
Boundary regularity results for minimisers of convex functionals with (p,q)-growth, with Lukas Koch,
Adv. Nonlinear Anal., 12.1 (2023). arXiv, DOI.
BMO ε-regularity results for solutions to Legendre-Hadamard elliptic systems,
Calc. Var. PDE, 62.5 (2023). arXiv, DOI
A-harmonic approximation and partial regularity, revisited, with Matthias Bärlin, Franz Gmeineder and Jan Kristensen,
Preprint, 2022. arXiv
My papers can also be found on arXiv, Google Scholar, MathSciNet, and ORCID, and my thesis can be found here.
September 2025 - Present: Postdoctoral Fellow at Georgetown University (Mentor: Bogdan Raiƫă)
October 2022 - August 2025: Postdoctoral Research Associate at Technical University Dortmund (Group of Peter Bella)
October 2018 - September 2022: PhD Student (DPhil) at the University of Oxford (Advisor: Jan Kristensen)
October 2014 - September 2018: Bachelor & Masters student at the University of Cambridge
Georgetown University:
Spring 2025: Lecturer for Analysis 1 (MATH-3310)
Autumn 2025: Lecturer for Calculus 1 (MATH-1350)
TU Dortmund:
Summer 2025: Lecturer for Introduction to PDEs (in German)
Winter 2024: Lecturer for Proseminar Analysis for teacher students (in German)
Summer 2023: Tutor for Calculus of Variations (Masters level)
2022-2024: Tutor for Analysis I-III for teacher students (various, in German)
University of Oxford:
2019-2022: Teaching assistant for various courses (including Functional-analytic methods for PDEs, Fourier analysis, Differential Equations, Integration)