
My name is Shengwen Wang (王盛文). I am a lecturer at Queen Mary University of London. Previously, I completed my PhD at Johns Hopkins University in 2018 supervised by Jacob Bernstein.
Email:
shengwen.wang@qmul.ac.uk
Address:
Room: MB-B14
Queen Mary University of London, School of Mathematical Sciences
Research interest:
Geometric analysis and geometric PDEs. I am interested in understanding the formation of singularities and developing/improving regularity theory of geometric partial differential equations such as minimal surfaces, mean curvature flows, Allen-Cahn and Ginzburg-Landau equations, etc.
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).
- On the topological rigidity of self shrinkers in R^3. (Joint with Alexander Mramor). Int. Math. Res. Not. 2020, 1933-1941 (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).
- Warped tori with almost non-negative scalar curvature. (Joint with Brian Allen, Lisandra Hernandez-Vazquez, Davide Parise, Alec Payne). Geometriae Dedicata 200, 153-171 (2019).
- Integrability of scalar curvature and normal metric on conformally flat manifolds. (Joint with Yi Wang). J. Differential Equations 265, 1353-1370 (2018).
- Low entropy and the mean curvature flow with surgery. (Joint with Alexander Mramor). Calc. Var. Partial Differential Equations. 60, (2021).
- Extended abstract "The level set flow of a hypersurface in R^4 of low entropy does not disconnect" in the Proceedings of the John H. Barrett Memorial Lectures at the University of Tennessee, Knoxville, May 29 - June 1, 2018 (edited by Theodora Bourni and Mat Langford). De Gruyter Proc. Math. (2020).
- Precise asymptotics near a generic S^1 × R^3 singularity of mean curvature flow. (Joint with Zhou Gang). To appear in Nonlinear Anal.
- Second order estimates for transition layers and a curvature estimate for the parabolic Allen-Cahn. (Joint with Huy Nguyen). Int. Math. Res. Not. 2024, 6749-6789 (2024).
- Brakke regularity for the Allen-Cahn flow. (Joint with Huy Nguyen). Preprint.
- Quantization of the energy for the inhomogeneous Allen-Cahn mean curvature. (Joint with Huy Nguyen). To appear in Math. Ann.
Teaching:
- Math 371 Ordinary differential equations 2018 Fall, Binghamton University
- Math 590F Topics in Analysis 2019 Spring, Binghamton University
- Math 371 Ordinary differential equations 2019 Spring, Binghamton University
- LTCC Introduction to mean curvature flow 2020 Fall, London (online)
- MA4C0 Differential Geometry 2021 Fall, University of Warwick
- MTH 6151 Partial Differential Equations 2022 Fall, Queen Mary University of London
- MTH 6151 Partial Differential Equations 2023 Fall, Queen Mary University of London
- MTH 6151 Partial Differential Equations 2024 Fall, Queen Mary University of London
- MTH 5113 Introduction to Differential Geometry 2025 Spring, Queen Mary University of London