I am a PhD student at the Center for Mathematical Science under the supervision of Mikael Persson Sundqvist and Magnus Goffeng.

Research interests

Spectral theory for magnetic Schrödinger operators and Ginzburg-Landau theory.

Publications

1. Miranda, G. Non-monotonicity of the first eigenvalue for the 3D magnetic Robin Laplacian. Arch. Math. (2023). https://doi.org/10.1007/s00013-023-01848-z

Activities

Conferences and talks

• "A Hitchhiker’s Guide to Nodal Domains"(speaker). PhD seminar 21/02/23.
• Aspect’22 ”Asymptotic Analysis and Spectral Theory” (participant) Carl von Ossietzky Universität Oldenburg., September 26-30, 2022., Oldenburg (Germany).
• "Nonmonotonicity for the 3D magnetic Robin Laplacian. Examples and counterexamples of strong diamagnetism" (speaker). Journée Magnétique Impromptue (Salle de séminaire du LMJL), Nantes université, 22/11/21.
• Mathematics of condensed matter and beyond. (participant) CAMS American University of Beirut(AUB), 22-25 February 2021, Online

Attended workshops and summer schools

• Nodal domains and landscape functions. Funded by the Hausdorff Center for Mathematics, 2-7 October 2022, Kopp (Germany).

Research stays

• Short research stay at Université de Nantes 22-29 November 2021.

Teaching

• Linear algebra for engineers, teaching assistant (2021)
• One variable calculus for engineers, teaching assistant (2021)
• Project supervisor in ”Communication in Mathematics”, with title ”Kepler’s problem” (2022)
• Linear algebra for engineers, teaching assistant (2022)
• One variable calculus for engineers, teaching assistant (2022)
• Several variables calculus for engineers, teaching assistant (2022)
• Linear algebra for engineers, teaching assistant (2023)

Other

• Organizer of the PhD seminar (click the following link https://www.maths.lu.se/english/research/seminars/phd/)
• Organizer of the Louise Petrén day 2022 (link https://www.lu.se/evenemang/louise-petren-day-2022)