Dr Pengzi Miao - Researcher Profile

Biography

Pengzi works in the School of Mathematical Sciences in the Faculty of Science at Monash University as a Research Fellow.

 

Pengzi’s research interests include:

 

·          Differential geometry; with an emphasis on geometric problems motivated by mathematical relativity.

 

Keywords

differential geometry, geometric problems, mathematical relativity

Qualifications

DOCTOR OF PHILOSOPHY IN MATHEMATICS

Institution: The Leland Stanford Junior University, California

Year awarded: 2003

MATHEMATICS

Institution: Stanford Uni (USA)

Year awarded: 1998

Publications

Journal Articles

Miao, P., Tam, L., 2012, Scalar curvature rigidity with a volume constraint, Communications in Analysis and Geometry [P], vol 20, issue 1, International Press, Massachusetts USA, pp. 1-30.

Eichmair, M., Miao, P., Wang, X., 2012, Extension of a theorem of Shi and Tam, Calculus Of Variations And Partial Differential Equations [P], vol 43, issue 1-2, Springer, New York USA, pp. 45-56.

Miao, P., Tam, L., Xie, N., 2011, Critical points of Wang-Yau quasi-local energy, Annales Henri Poincare [P], vol 12, issue 5, Birkhauser Verlag AG, Switzerland, pp. 987-1017.

Miao, P., Tam, L., 2011, Einstein and conformally flat critical metrics of the volume functional, Transactions Of The American Mathematical Society [P], vol 363, issue 6, American Mathematical Society, USA, pp. 2907-2937.

Miao, P., Shi, Y., Luen-Fai, T., 2010, On geometric problems related to brown-york and liu-yau quasilocal mass, Communications In Mathematical Physics [P], vol 298, issue 2, Springer, New York USA, pp. 437-459.

Miao, P., 2009, On a localized Riemannian Penrose inequality, Communications In Mathematical Physics [P], vol 292, issue 1, Springer, New York USA, pp. 271-284.

Miao, P., Luen-Fai, T., 2009, On the volume functional of compact manifolds with boundary with constant scalar curvature, Calculus Of Variations And Partial Differential Equations [P], vol 36, issue 2, Springer, New York USA, pp. 141-171.

Miao, P., Luen-Fai, T., Naqing, X., 2009, Some estimates of Wang-Yau quasilocal energy, Classical and Quantum Gravity [P], vol 26, IOP Publishing, UK, pp. 245017-245029.

Bray, H., Miao, P., 2008, On the capacity of surfaces in manifolds with nonnegative scalar curvature, Inventiones Mathematicae [P], vol 172, issue 3, Springer, Germany, pp. 459-475.

Miao, P., 2007, A note on existence and non-existence of horizons in some asymptotically flat 3-manifolds, Mathematical Research Letters, vol 14, issue 3, International Press, Somerville USA, pp. 395-402.

Miao, P., 2005, A remark on boundary effects in static vacuum initial data sets, Classical and Quantum Gravity, vol 22, Institute of Physics Publishing, Bristol England, pp. 53-59.

Miao, P., 2005, Proof of the rigidity of hyperbolic spaces using quasilocal mass type theorems, Journal of Hyperbolic Differential Equations, vol 2, issue 2, World Scientific Publishing Company, Singapore SINGAPORE, pp. 471-479.

Miao, P., 2004, Asymptotically flat and scalar flat metrics on R3 admitting a horizon, Proceedings of the American Mathematical Society, vol 132, issue 1, American Mathematical Society, Providence USA, pp. 217-222.

Miao, P., 2004, Minimizing energy among homotopic maps, International Journal of Mathematics and Mathematical Sciences, vol 30, Hindawi Publishing Corp, United States, pp. 1599-1611.

Miao, P., 2003, On existence of static metric extensions in general relativity, Communications in Mathematics Physics, vol 241, issue 1, Springer, Germany, pp. 27-46.

Miao, P., 2002, Positive mass theorem on manifolds admitting corners along a hypersurface, Advances on Theoretical and Mathematical Physics, vol 6, International Press, Somerville USA, pp. 1163-1182.

Postgraduate Research Supervisions

Current Supervision

Program of Study:

(DOCTORATE BY RESEARCH).

Thesis Title:

Energy, momentum and dynamics of general relativity with guage fields.

Supervisors:

Bartnik, R (Main), Miao, P (Associate).