Jonah Duncan's homepage
# Jonah A. J. Duncan

I am a 4th year PhD student in the Mathematical Institute at the University of Oxford, under the supervision of Prof. Luc Nguyen.

** Research interests: ** Geometric analysis, analysis of PDEs, differential geometry. The focus of my recent work has been on estimates and regularity for some fully nonlinear PDEs arising in conformal geometry.

** Email: ** lastname "at" maths.ox.ac.uk, ** CV: ** pdf

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## Papers

- (With L. Nguyen) Local pointwise second derivative estimates for strong solutions to the sigma_k-Yamabe equation on Euclidean domains.
*Submitted.* [arXiv].

### In preparation

- (Draft on request) Regularity for the sigma_k-Yamabe equation and a priori estimates in the negative case
- (Draft on request) A priori estimates for a perturbed sigma_2-Yamabe equation on 3-manifolds

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## Teaching

### 2020-2021

Tutor for:
- C4.6 Fixed Point Methods for Nonlinear PDEs (Mathematical Institute)
- C4.3 Functional Analytic Methods for PDEs (Mathematical Institute)
- B4.1 Functional Analysis I (Mathematical Institute)

### 2019-2020

Tutor for:
- B4.1 Functional Analysis I (Mathematical Institute)
- B4.2 Functional Analysis II (Mathematical Institute)
- M5 Fourier Series and PDEs (St Edmund Hall)

### 2018-2019

Teaching assistant and revision tutor for:
- B4.1 Functional Analysis I (Mathematical Institute)
- B4.2 Functional Analysis II (Mathematical Institute)

Revision tutor for:
- M5 Multivariable Calculus (St Edmund Hall)