I am a PhD student at the University of Vienna at the Faculty of Mathematics. My supervisor is Herwig Hauser. I am working on the algebraic study of differential equations in characteristic zero as well as in positive characteristic. In particular, I am interested in work regarding the algebraicity of solutions of differential equations, hypergeometric functions, and work related to the Grothendieck \(p\)-curvature conjecture.
|October 2022 –||PhD studies at the University of Vienna|
|October 2021 –||Research assistant at the University of Vienna|
|October 2020 – October 2022||Master’s degree in mathematics at the University of Vienna|
|March 2020 – August 2022||Tutor at the University of Vienna|
|October 2017 – August 2020||Bachelor’s degree in mathematics at the University of Vienna|
|June 2016||High school graduation|
Publications and Preprints
- Hula, A., Fürnsinn, F., Schwieger, K., Saleh, P., Neumann, M., & Ecker, H., Deriving a joint risk estimate from dynamic data collected at motorcycle rides. Accident Analysis & Prevention, 159. 2021.
- Fürnsinn F., Yurkevich S., Algebraicity of hypergeometric functions with arbitrary parameters, 2023. preprint.
- Fürnsinn F., Hauser, H., Normal forms of ordinary linear differential equations in arbitrary characteristic, 2023. preprint.
- Fürnsinn F., A normal form theorem for regular singular differential operators in positive characteristic. 2022. Master’s thesis submitted at the University of Vienna.