# Connor Mooney

### CV

### Papers

- Mooney, C; Savin, O. Regularity results for the equation u_{11}u_{22}=1. Preprint 2018, arXiv:1806.05532. Submitted. [.pdf]

- Mooney, C. Singularities of complex-valued solutions to linear parabolic equations. Preprint 2018, arXiv:1805.02419. Submitted. [.pdf]

- Figalli, A.; Mooney, C. An obstacle problem for conical deformations of thin elastic sheets.
*Arch. Ration. Mech. Anal.* ** 228 ** (2018), 401-429. [.pdf]

- Collins, Tristan C.; Mooney, C. Dimension of the minimum set for the real and complex Monge-Ampere equations in critical Sobolev spaces.
*Anal. PDE* ** 10 ** (2017), no. 8, 2031-2041. [.pdf]

- Mooney, C. Finite time blowup for parabolic systems in two dimensions.
*Arch. Ration. Mech. Anal.* ** 223 ** (2017), 1039-1055. [.pdf]

Mooney, C. Some remarks on "Finite time blowup." (We improve the target dimension of the quasilinear example to m = 3). [.pdf]

- Figalli, A.; Maggi, F.; Mooney, C. The sharp quantitative Euclidean concentration inequality.
*Camb. J. Math.* ** 6 ** (2018), no. 1, 59-87. [.pdf]

- Mooney, C. Some counterexamples to Sobolev regularity for degenerate Monge-Ampere equations.
*Anal. PDE* **9** (2016), no. 4, 881-891. [.pdf]

- Figalli, A.; Jhaveri, Y.; Mooney, C. Nonlinear bounds in Holder spaces for the Monge-Ampere equation.
* J. Funct. Anal.* ** 270 ** (2016), 3808-3827. [.pdf]

- Mooney, C.; Savin, O. Some singular minimizers in low dimensions in the calculus of variations.
*Arch. Ration. Mech. Anal.* ** 221 ** (2016), 1-22. [.pdf]

- Mooney, C. Harnack inequality for degenerate and singular elliptic equations with unbounded drift.
* J. Differential Equations * ** 258 ** (2015), no. 5, 1577-1591. [.pdf]

- Mooney, C. W^{2,1} estimate for singular solutions to the Monge-Ampere equation.
* Ann. Sc. Norm. Super. Pisa Cl. Sci.* (5) ** 14 ** (2015), no. 4, 1283-1303. [.pdf]

- Mooney, C. Partial regularity for singular solutions to the Monge-Ampere equation.
* Comm. Pure Appl. Math.* ** 68 ** (2015), 1066-1084. [.pdf]

- Mooney, C. PhD Thesis. [.pdf]

### Notes

- Singularities in the calculus of variations.
* Springer INdAM Series*, to appear. [.pdf]

- The Monge-Ampere equation.
* Rend. Semin. Mat. Univ. Politec. Torino*, to appear. [.pdf]

- Basic elliptic PDE. [.pdf]

- Monge-Ampere equation. [.pdf]

- Minimal surfaces. [.pdf]

- Calculus of variations. [.pdf]

- Parabolic PDE. Based on informal lecture series at ETH Zurich, 2017. [.pdf]