Scholar
Goncalo Oliveira
Google Scholar ID: stNS35MAAAAJ
Instituto Superior Técnico (IST)
Citations & Impact
Citations
248
H-index
10
i10-index
11
Publications
20
Co-authors
7
list available
Resume
Academic Achievements
- Published multiple papers, including but not limited to:
- - Counting Equilibria of the Electrostatic Potential
- - Hermitian, Ricci-flat toric metrics on non-compact surfaces à la Biquard-Gauduchon
- - Einstein metrics from the Calabi ansatz via Derdziński duality
- - Wide neural networks: From non-gaussian random fields at initialization to the NTK geometry of training
- - Electrostatics and geodesics on K3 surfaces
- - Nonminimal solutions to the Ginzburg-Landau equations
- - Neck pinch singularities and Joyce conjectures in Lagrangian mean curvature flow with circle symmetry
- - The positivity of the Neural Tangent Kernel
- - Scalar-flat Kahler metrics with varying cone angle singularities along a divisor
- - On the bifurcation theory of the Ginzburg-Landau equations
- - Special Lagrangians, Lagrangian mean curvature flow and the Gibbons-Hawking ansatz
- - The asymptotic geometry of G_2-monopoles
- - New approaches to epidemic modeling on networks
- - Examples of deformed G_2-instantons/Donaldson-Thomas connections
- - The DT-instanton equation on almost Hermitian 6-manifolds
- - Minimal Lagrangian tori and action-angle coordinates
Research Experience
- Since February 2024, has been an Associate Professor in the Department of Mathematics at Instituto Superior Técnico in Lisbon, Portugal. Previously, held positions as an FCT Principal Investigator at Instituto Superior Técnico, a NOMIS Fellow at IST Austria, an Assistant Professor at Universidade Federal Fluminense (UFF) (2018-2021), a postdoc at IMPA (2017-2018), and an Elliot Assistant Research Professor at Duke University (2014-2017). Also had a research membership at MSRI in the fall of 2022 and a visiting scientist position at the Max Planck Institute in Bonn (Germany), which was visited in the summer of 2015.
Education
- Completed PhD in 2014 at Imperial College London, under the supervision of Sir Simon Donaldson.
Background
- Research interests: Differential Geometry and Mathematical Physics, main research areas are special holonomy and gauge theory.
