Educational Background

• Sept. 2019 – May 2022: Doctorate in Mathematics at ETH Zurich
• Sept. 2017 – Feb. 2019: Master of Science in Mathematics at ETH Zurich
• Sept. 2013 – Jul. 2017: Bachelor of Science in Mathematics at ETH Zurich

Professional Experience

• Aug. 2022 –: Assistant Professor at the Florida Institute of Technology
• Sep. 2019 – Aug. 2022: Doctoral student conducting mathematical research while being involved in various academic responsibilities including: Teaching, organizing exercise classes, maintaining websites and teaching platforms (Moodle, Zoom) for courses, creating/correcting exercise sheets and exams, supervision of exams, etc.
• May 2019 – Jul. 2019: Research Assistant at the Department of Macroeconomics (D-MTEC) at ETH Zurich
• May 2019 – Jul. 2019: Internship at SIX in Zurich (Product Management Cash Ecosystem, Business Unit Banking Services)
• 2018: Research Assistant at the Department of Macroeconomics (D-MTEC) at ETH Zurich

Current Courses

• Spring 2023: Calculus 2 (several sections), Calculus 1 (one section)
• Fall 2022: Calculus 1 (several sections)

Selected Publications

• Aug. 2022: Distributional Fractional Gradients and a Bourgain-Brezis-type Estimate; Paper on arXiv
• May 2022: Critical local and nonlocal PDEs and improved Regularity Results; Doctoral Thesis
• Dec. 2021: Half-Harmonic Gradient Flow: Aspects of a Non-Local Geometric PDE; Mathematics in Engineering, Volume 5, Issue 3, January 2023, p.1-38
• Sept. 2021: Existence, Uniqueness and Regularity of the Fractional Harmonic Gradient Flow in General Target Manifolds; Paper on arXiv (submitted to Journal)
• Aug. 2021: Integrability by compensation for Dirac Equation; Transactions of the AMS, Volume 375, No. 6, June 2022, p.4477-4511; Joint work with Prof. Dr. Francesca Da Lio and Prof. Dr. Tristan Rivière
• May 2021: Uniqueness and Regularity of the Fractional Harmonic Gradient Flow in S^n-1; Nonlinear Analysis, Volume 214, January 2022
• Nov. 2020: Bergman-Bourgain-Brezis-type Inequality; Journal of Functional Analysis, Volume 281, Issue 9, 01. November 2021; Joint work with Prof. Dr. Francesca Da Lio and Prof. Dr. Tristan Rivière

Recognition & Awards

• Willi-Studer-Prize awarded by ETH Zurich (“Best Graduate in Mathematics 2018/19”)

Research

I am interested in questions pertaining to Geometric Analysis. During my PhD, I have mostly worked on non-local geometric energies and their critical points as well as the associated regularity properties. For instance, I have contributed to the study of the half-harmonic gradient flow by extending known results for the classical harmonic gradient flow to the non-local setup and generalising existence, regularity and uniqueness results.