Elena Giorgi

Elena Giorgi is an Assistant Professor of Mathematics at Columbia University, specializing in General Relativity, Partial Differential Equations, and Differential Geometry within the Geometry & Analysis and Mathematical Physics group. Her research focuses on the mathematical stability of black holes and gravitational wave analysis.

Educational Background:

• Ph.D. in Mathematics, Columbia University (2019), supervised by Mu-Tao Wang and Sergiu Klainerman
• Postdoctoral Research Associate, Gravity Initiative at Princeton University

Her research program develops physical-space methods to analyze wave equations in curved spacetimes, particularly for Kerr and Kerr-Newman black holes. She investigates boundedness and decay properties of gravitational and electromagnetic perturbations, resolving fundamental stability questions for charged and rotating black holes. Her work bridges rigorous mathematical analysis with theoretical physics, providing critical insights into Einstein's equations.

Dr. Giorgi's publications reveal a consistent trajectory from foundational linear stability results (2019-2020) to advanced nonlinear analysis (2023-2024), with increasing focus on coupled electromagnetic-gravitational systems and extremal black hole geometries. Her recent work demonstrates sophisticated techniques for handling axial symmetry and small charge regimes.

Scientific Awards:

• Sloan Research Fellowship (2024)
• Simons Junior Faculty Fellowship
• Frontiers of Science Award in General Relativity (2023)
• AWM Dissertation Prize (2020)

She directs significant research funding including an NSF CAREER grant (DMS-2336118) and NSF grant (DMS-2306143), mentoring graduate students Jingbo Wan and Ethan Hall. Dr. Giorgi co-organizes Columbia's Analysis Seminar, General Relativity Seminar, and the virtual Mathematical GR and Hyperbolic PDEs Seminar, while actively supporting junior researchers through the ENYGMMa initiative.

Her leadership extends to the Sonia Kovalevsky Day outreach program and the Diversity Lunch Series, with public lectures including her ICM 2022 presentation 'Black Holes: A Mathematical Enlightenment' that has reached broad audiences through Quanta Magazine and Science News features.