Justin Corvino

Special interests: differential geometry; geometric analysis; general relativity; partial differential equations

Recent publications: Lectures on Mathematical Relativity. (Joint with Pengzi Miao, with additional chapters by Lan-Hsuan Huang, Brian Allen and Fernando Schwartz.) MSRI Publications, 66, Cambridge University Press, Cambridge, 2025. xxiii+400 pp.

“Gluing for the Einstein constraint equations.” C. R. Mécanique 353, 29-52 (2025)

“Multi-localized time-symmetric initial data for the Einstein vacuum equations.” (Joint with John Anderson and Federico Pasqualotto.) J. Reine Angew. Math. (Crelle’s Journal) 808, 67-100 (2024)

“On the index of a free-boundary minimal surface in Riemannian Schwarzschild-AdS.” (Joint with Elene Karangozishvili and Deniz Ozbay.) Ann. Global Anal. Geom. 64, no. 4, 29 pp. (2023)

“Localized Deformation for Initial Data Sets with the Dominant Energy Condition.” (Joint with Lan-Hsuan Huang). Calc. Var. Partial Differential Equations. 59, no. 1, 43 pp. (2020)

“A short note on the Bartnik mass.” Pure and Applied Mathematics Quarterly. 15, no. 3, 827-838 (2019)

“A Note on the Bartnik Mass.” In: L. Bieri, P. T. Chrusciel, S.-T. Yau (eds.), Nonlinear Analysis in Geometry and Applied Mathematics, Harv. Univ. Cent. Math. Sci. Appl. Ser. Math. 1, pp. 49-75 (2017)

“On the P-scalar curvature.” (Joint with Farhan Abedin ’11) J. Geom. Anal. 27, no. 2, 1589-1623 (2017)

“Deformation of Scalar Curvature and Volume.” (Joint with Michael Eichmair and Pengzi Miao)  Math.  Ann. 357, no. 2, 551-584 (2013)

“Hamiltonian Stationary Tori in Kahler Manifolds.” (Joint with Adrian Butscher). Calc. Var. Partial Differential Equations. 45, no. 1-2, 63-100 (2012).

Honors and Grants:

AMS-Simons Research Enhancement Grant for PUI Faculty: 2024-2027

NSF RUI Grant: 2007-2011, 2012-2015.

Simons Collaboration Grant for Mathematicians, 2011-2012.

Thomas Roy and Lura Forest Jones Lecture Award, Lafayette College, Spring 2011.

Fulbright Fellowship, KTH-Institut Mittag-Leffler, Fall 2008.

NSF Postdoctoral Research Fellowship, Brown University, 2000-2004.

Jon A. Bucsela Prize in Mathematics, MIT, Spring 1994.

Selected courses taught:

Math 264: Differential Equations with Linear Algebra

Math 300: Vector Spaces

Math 312: Partial Differential Equations

Math 343: Advanced Multivariable Calculus

Math 357: Real Analysis II

Math 358: Topology