- Mooney, C. Minimizers of convex functionals with small degeneracy set. Preprint 2019, arXiv:1903.03103. Submitted. [.pdf]
- Ivanisvili, P.; Mooney, C. Sharpening the triangle inequality: envelopes between L^2 and L^p spaces. Preprint 2019, arXiv:1902.02329. Submitted. [.pdf]
- Mooney, C. A proof of the Krylov-Safonov theorem without localization.
*Comm. Partial Differential Equations*, to appear. [.pdf] - Mooney, C; Savin, O. Regularity results for the equation u_{11}u_{22}=1.
*Discrete Contin. Dyn. Syst.*, to appear. [.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]

- 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] - Parabolic PDE. Based on informal lecture series at ETH Zurich, 2017. [.pdf]
- Basic elliptic PDE. [.pdf]
- Monge-Ampere equation. [.pdf]
- Minimal surfaces. [.pdf]
- Calculus of variations. [.pdf]