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School of Mathematical Sciences

Dr Shengwen Wang

Shengwen

Lecturer in Geometric Analysis

Email: shengwen.wang@qmul.ac.uk
Room Number: Mathematical Sciences Building, Room: MB-B14
Website: http://shengwen-wang.net/
Office Hours: Mondays 4:30-5:30pm

Profile

I am currently a lecturer in the school of mathematical sciences in Queen Mary University of London.

I do research in geometric analysis and partial differential equations. More specifically, I am interested in the regularity theory and singularity analysis of geometric partial differential equations (e.g. minimal surfaces, mean curvature flows, Ricci flows, Ginzburg-Landau and Allen-Cahn equations) and their applications in geometric topology and mathematical relativity.  

I obtained my PhD from Johns Hopkins University in 2018. Before joining QMUL as a lecturer, I have held postdoc positions in SUNY Binghamton, QMUL and Warwick.  

Curriculum vitae

Teaching

MTH 6151       Partial Differential Equations 

Research

Publications

  • Some properties of closed hypersurfaces of small entropy and the topology of hypersurfaces through singularities of mean curvature flow.  ETD - Doctoral Dissertations. Johns Hopkins University (2018).

  • Round spheres are Hausdorff stable under small perturbation of entropy. J. Reine Angew. Math. 758, 261-280 (2020).
  • The level set flow of a hypersurface in R^4 of low entropy does not disconnect. (Joint with Jacob Bernstein). Comm. Anal. Geom. 29, 1523-1543 (2021)
  • Precise asymptotics near a generic S^1 × R^3 singularity of mean curvature flow. (Joint with Zhou Gang). To appear in Nonlinear Anal. 
  • Quantization of the energy for the inhomogeneous Allen-Cahn mean curvature. (Joint with Huy Nguyen). To appear in Math. Ann.
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