Connor Mooney
Professor, UC Irvine
Biography
Connor Mooney is a Professor in the Department of Mathematics at the University of California, Irvine. He completed his Ph.D. in Mathematics at Columbia University in 2015, following his B.S. in Mathematics from Stanford University in 2011. Before joining UC Irvine as an Assistant Professor in 2018, Mooney worked as a Postdoctoral Researcher at ETH Zürich from 2016 to 2018 and held an NSF Postdoctoral Research Fellowship at the University of Texas at Austin from 2015 to 2016.
Mooney's research is centered on partial differential equations (PDEs), with a focus on geometric analysis and the calculus of variations. He has published numerous peer-reviewed papers in prominent mathematical journals, contributing to the field's understanding of nonlinear PDEs and related topics. His work is supported by several grants, including the NSF CAREER Grant and the Alfred P. Sloan Research Fellowship. Mooney's notable recognitions include being named a Simons Fellow in Mathematics and a Chancellor’s Fellow at UC Irvine.
At UC Irvine, Mooney is responsible for teaching graduate and undergraduate courses, including topics in partial differential equations and linear algebra. He advises and mentors doctoral students, with a focus on developing their research capabilities. Mooney actively participates in the academic community by serving on various departmental committees and contributing to university governance. He is involved in outreach activities and has served on the editorial boards of notable mathematical journals.
Return to topEducation
- Ph.D. in Mathematics, Columbia University, 2015
- B.S. in Mathematics, Stanford University, 2011
Distinctions
- Simons Fellow in Mathematics, 2024
- Chancellor’s Fellow, UC Irvine, 2022
- Alfred P. Sloan Research Fellowship, 2022
- NSF CAREER Grant DMS-2143668, 2022
- NSF Grant DMS-1854788, 2019
- NSF Postdoctoral Research Fellowship, 2015
- NSF Graduate Research Fellowship, 2012
- Firestone Medal for Excellence in Undergraduate Research, Stanford University, 2011
Areas of Expertise
- Nonlinear Partial Differential Equations
- Geometric Analysis
- Calculus of Variations
- Singularities in PDEs
- Optimal Transport
- Bernstein Problems
- Sobolev Regularity
- Anisotropic Minimal Graphs
- Complex Analysis
- Elliptic and Parabolic Systems
Recent Publications
- Mooney, C., Yang, Y., “The anisotropic Bernstein problem”, Invent. Math., vol. 235, pp. 211-232, 2024.
- Mooney, C., “Homogeneous functions with nowhere vanishing Hessian determinant”, Ann. Inst. H. Poincaré C Anal. Non Linéaire, vol. 41, pp. 555-564, 2024.
- Bechtel, S., Mooney, C., Veraar, M., “Counterexamples to maximal regularity for operators in divergence form”, Arch. Math., vol. 123, pp. 199-209, 2024.
- Mitake, H., Mooney, C., Tran, H., Xin, J., Yu, Y., “Bifurcation of homogenization and nonhomogenization of the curvature G-equation with shear flows”, Math. Ann., no. to appear, 2024.
- Mooney, C., “Bernstein theorems for nonlinear geometric PDEs”, Comm. Pure Appl. Anal., no. to appear, 2024.
- Mooney, C., Rakshit A., “Sobolev regularity for optimal transport maps of non-convex planar domains”, SIAM J. Math. Anal., vol. 56, pp. 4742-4758, 2024.
- Mooney, C., Savin, O., “Non C 1 solutions to the special Lagrangian equation”, Duke Math. J., no. to appear, 2024.
- Bhattacharya, A., Mooney, C., Shankar, R., “Gradient estimates for the Lagrangian mean curvature equation with critical and supercritical phase”, Amer. J. Math., no. to appear, 2024.
- Mooney, C., Rakshit, A., “Singular structures in solutions to the Monge-Ampère equation with point masses”, Math. Eng., vol. 5, pp. Paper No. 083, 11 pp, 2023.
- Mooney, C., “Entire solutions to equations of minimal surface type in six dimensions”, J. Eur. Math. Soc. (JEMS), vol. 24, pp. 4353-4361, 2022.
- Mooney, C., “Hilbert’s 19th problem revisited”, Boll. Unione Mat. Ital., vol. 15, pp. 483-501, 2022.
- Mooney, C., Yang, Y., “A proof by foliation that Lawson’s cones are A Φ -minimizing”, Discrete Contin. Dyn. Syst., vol. 41, pp. 5291-5302, 2021.
- Mooney, C., “Solutions to the Monge-Ampère equation with polyhedral and Y-shaped singularities”, J. Geom. Anal., vol. 31, pp. 9509-9526, 2021.
- Mooney, C., “Strict 2-convexity of convex solutions to the quadratic Hessian equation”, Proc. Amer. Math. Soc., vol. 149, pp. 2473-2477, 2021.
- Mooney, C., “Singularities of complex-valued solutions to linear parabolic equations”, Int. Math. Res. Not. IMRN, vol. 21, pp. 4413-4426, 2021.
Most Cited Publications
- Mooney, C., Savin, O., “Some singular minimizers in low dimensions in the calculus of variations”, Arch. Ration. Mech. Anal., vol. 221, pp. 1-22, 2016.
- Mooney, C., “Partial regularity for singular solutions to the Monge-Ampère equation”, Comm. Pure Appl. Math., vol. 68, pp. 1066-1084, 2015.
- Mooney, C., “Harnack inequality for degenerate and singular elliptic equations with unbounded drift”, J. Differential Equations, vol. 258, pp. 1577-1591, 2015.
- Mooney, C., “A proof of the Krylov-Safonov theorem without localization”, Comm. Partial Differential Equations, vol. 44, pp. 681-690, 2019.
- Mooney, C., “Finite time blowup for parabolic systems in two dimensions”, Arch. Ration. Mech. Anal., vol. 223, pp. 1039-1055, 2017.
- Mooney, C., “Some counterexamples to Sobolev regularity for degenerate Monge-Ampère equations”, Anal. PDE, vol. 9, pp. 881-891, 2016.
- Figalli, A., Jhaveri, Y., Mooney, C., “Nonlinear bounds in Hölder spaces for the Monge-Ampère equation”, J. Funct. Anal., vol. 270, pp. 3808-3827, 2016.
- Mooney, C., “Minimizers of convex functionals with small degeneracy set”, Calc. Var. Partial Differential Equations, vol. 59, pp. Paper No. 74, 1-19, 2020.
- Collins, Tristan C., Mooney, C., “Dimension of the minimum set for the real and complex Monge-Ampère equations in critical Sobolev spaces”, Anal. PDE, vol. 10, pp. 2031-2041, 2017.
- Mooney, C., “The Monge-Ampère equation”, Rend. Semin. Mat. Univ. Politec. Torino, vol. 76, pp. 93-113, 2018.
Contact Information
Email: mooneycr@math.uci.edu
Address: Rowland Hall 410C UC Irvine Irvine, CA 92697-3875
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Last updated on 12/3/2025.