Professor
214A Pardee Hall

Degrees

  • Ph.D., Stanford University

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

Recent publications:”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.  Ann357, 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).

“Construction of N-body initial data sets in general relativity.” (Joint with Piotr Chrusciel and James Isenberg). Comm. Math. Phys. 304 , 637-647 (2011).

“Scalar Curvature and the Einstein Constraint Equations.” (Joint with Daniel Pollack). In: H. L. Bray, W. P. Minicozzi, II (eds.), Surveys in Geometric Analysis and Relativity , Adv. Lect. Math. 20 , pp. 145-188 (2011).

Honors and Grants:

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