- Mooney, C. Homogeneous functions with nowhere vanishing Hessian determinant. Preprint 2022, arXiv:2201.01260. [.pdf]
- Mooney, C. Hilbert's 19th problem revisited.
*Boll. Unione Mat. Ital.*, to appear. [.pdf] - Mooney, C.; Yang, Y. A proof by foliation that Lawson's cones are A_{Phi}-minimizing.
*Discrete Contin. Dyn. Syst.*, to appear. [.pdf] - Mooney, C. Solutions to the Monge-Ampere equation with polyhedral and Y-shaped singularities.
*J. Geom. Anal.*, to appear. [.pdf] - Mooney, C. Strict 2-convexity of convex solutions to the quadratic Hessian equation.
*Proc. Amer. Math. Soc.***149**(2021), 2473-2477. [.pdf] - Mooney, C. Entire solutions to equations of minimal surface type in six dimensions.
*J. Eur. Math. Soc. (JEMS)*, to appear. [.pdf] - Mooney, C. Singularities of complex-valued solutions to linear parabolic equations.
*Int. Math. Res. Not. IMRN***21**(2021), 4413-4426. [.pdf] - Mooney, C. Minimizers of convex functionals with small degeneracy set.
*Calc. Var. Partial Differential Equations***59**(2020), Paper No. 74, 1-19. [.pdf] - Ivanisvili, P.; Mooney, C. Sharpening the triangle inequality: envelopes between L^2 and L^p spaces.
*Anal. PDE***13**(2020), 1591-1603. [.pdf] - Mooney, C. A proof of the Krylov-Safonov theorem without localization.
*Comm. Partial Differential Equations***44**(2019), 681-690. [.pdf] - Mooney, C.; Savin, O. Regularity results for the equation u_{11}u_{22}=1.
*Discrete Contin. Dyn. Syst.***39**(2019), 6865-6876. [.pdf] - Mooney, C. The Monge-Ampere equation.
*Rend. Semin. Mat. Univ. Politec. Torino***76**(2018), 93-113. [.pdf] - Figalli, A.; Mooney, C. An obstacle problem for conical deformations of thin elastic sheets.
*Arch. Ration. Mech. Anal.***228**(2018), 401-429. [.pdf] - Mooney, C. Singularities in the calculus of variations. In
*Contemporary Research in Elliptic PDEs and Related Topics*(Ed. Serena Dipierro),*Springer INdAM Series***33**(2019), 457-480. [.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), 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), 59-87. [.pdf] - Mooney, C. Some counterexamples to Sobolev regularity for degenerate Monge-Ampere equations.
*Anal. PDE***9**(2016), 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), 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), 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]
- Mooney, C. Undergraduate Thesis. [.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]