Research

Publication List

Recent preprints:

Entire solutions of two-convex Lagrangian mean curvature flows by C.-J. Tsai, M.-P. Tsui, and M.-T. Wang

Preprint (2023) arXiv: 2309.09432 Under review

Transformation of mass-angular momentum aspect under BMS transformations by P-N. Chen, M.-T. Wang, Y.-K. Wang, and S.-T. Yau 

Preprint (2023) arXiv: 2305.04617 Under review

Angular momentum and supertranslation in general relativity by M.-T. Wang 

Preprint (2023) arXiv: 2303.02424 Published in Current Development of Mathematics, Vol. 2021, No. 1 (2021), pp. 163-181

Mean curvature flows of two-convex Lagrangians by C.-J. Tsai, M.-P. Tsui, and M.-T. Wang 

Preprint (2023) arXiv: 2302:02512 To appear in J. Differential Geom. 

A new monotone quantity in mean curvature flow implying sharp homotopic criteria by C.-J. Tsai, M.-P. Tsui, and M.-T. Wang 

Preprint (2023) arXiv: 2301.09222 Under review

Cross-section continuity of definitions of angular momentum by P.-N. Chen, D. E. Paraizo, R. M. Wald, Y.-K. Wang, M.-T. Wang, and S.-T. Yau

Preprint (2022) arXiv: 2207.04590 Published in Classical Quantum Gravity 40 (2023), no. 2, Paper No. 025007

Conserved quantities in general relativity-the view from null infinity by P-N. Chen, M.-T. Wang, Y.-K. Wang, and S.-T. Yau

Preprint (2022) arXiv: 2204.04010 Published in The physics and mathematics of Elliott Lieb. Vol. I, 211--224, EMS Press, Berlin, [2022]

Supertranslation invariance of angular momentum at null infinity in double null gauge by P-N. Chen, M.-T. Wang, Y.-K. Wang, and S.-T. Yau

Preprint (2022) arXiv: 2204.03182 To appear in the Christodoulou volume of Pure Appl. Math. Q.

BMS charges without supertranslation ambiguity by P-N. Chen, M.-T. Wang, Y.-K. Wang, and S.-T. Yau

Preprint (2021) arXiv: 2107.05316 Published in Comm. Math. Phys. 393 (2022), no. 3,1411--1449,

Supertranslation invariance of angular momentum by P-N. Chen, M.-T. Wang, Y.-K. Wang, and S.-T. Yau

Preprint (2021) arXiv: 2102.03235 Published in Adv. Theor. Math. Phys. 25, No. 3 (2021), 777--789

Evolution of angular momentum and center of mass at null infinity by P-N. Chen, Jordan Keller, M.-T. Wang, Y.-K. Wang, and S.-T. Yau

Preprint (2021) arXiv: 2102.03221 Published in Comm. Math. Phys. 386 (2021), no. 1, 551--588

Limits of quasi-local angular momentum on an isolated system by M.-T. Wang

Preprint (2020) arXiv: 2010.14059 Published in Surveys in Differential Geometry 2019. Differential geometry, Calabi-Yau theory, and general relativity. Part 2, 481--495, Surv. Differ. Geom., 24, Int. Press, Boston, MA, [2022]

Quasi-local mass and isometric embedding with reference to a static spacetime by M.-T. Wang

Preprint (2020) arXiv: 2010.12677 Published in Advanced Studies in Pure Mathematics 85, 2020, The Role of Metrics in the Theory of Partial Differential Equations, 453--462

Total mass and limit of quasi-local mass at future null infinity by M.-T. Wang

Preprint (2020) arXiv: 2003.07732 Published in Proceedings of the International Consortium of Chinese Mathematicians 2018, 89--102, Int. Press, Boston, MA, [2020]

Quasi-local mass on unit spheres at spatial infinity by P-N. Chen, M.-T. Wang, Y.-K. Wang, and S.-T. Yau

Preprint (2019) arXiv: 1901.06954 Published in Comm. Anal. Geom. 30 (2022), no. 4, 745--778

Quasi-local mass at null infinity in Bondi-Sachs coordinates by P-N. Chen, M.-T. Wang, Y.-K. Wang, and S.-T. Yau

Preprint (2019) arXiv: 1901.06952 Published in Pure Appl. Math. Q. 15 (2019), no. 3, 875--895

Quasi-local mass at axially symmetric null infinity by P-N. Chen, M.-T. Wang, Y.-K. Wang, and S.-T. Yau

Preprint (2019) arXiv: 1901.06948  Published in Int. J. Mod. Phys. D 28, No. 8 (2019) 1930013

Linear stability of higher dimensional Schwarzschild spacetimes: decay of master quantities by P. Hung, J. Keller, M.-T. Wang

Preprint (2018) arXiv: 1809.05144 Published in Ann. PDE 6 (2020), no.2, paper No. 7, 73 pp 

The Minkowski formula and the quasi-local mass by P.-N. Chen, M.-T. Wang, S.-T. Yau

Preprint (2018) arXiv: 1804.08216 Published in Ann. Henri Poincare 20 (2019), no. 3, 889--904

Global uniqueness of the minimal sphere in the Atiyah-Hitchin manifold by C.-J. Tsai and M.-T. Wang

Preprint (2018) arXiv: 1804.08201 Published in Math. Res. Lett. 29 (2022), no.3, 871--886