Staff Profile

Background:

I studied at Warwick and Imperial College London and I have been working at Newcastle since 2016. I enjoy teaching a range of subjects across the disciplines represented in our school.

Semester 1: MAS2701 Linear Algebra

Semester 2: MAS2713/3713 Curves and Surfaces

Semester 2: MSP1613 Multivariable Calculus

• Properties of special Riemannian metrics (Einstein metrics and Ricci solitons)
• Numerical differential geometry

Recently, I've been working with Daniel Cole and Rachael Pirie from the School of Natural and Environmental Sciences on a project that applies ideas coming from differential geometry to the problems of molecular similarity searching. Our our second paper (joint with Tommy Murphy) will appear in Proceedings of the Royal Society A and is available here: https://arxiv.org/abs/2301.04424

Paul Schwahn, Uwe Semmelmann, and I have worked out the (second-order) deformation theory for SU(n)/SO(n) and SU(2n)/Sp(n). Our preprint is available here: https://arxiv.org/abs/2412.08770

I have contributed a short piece for a special edition of the journal Feminist Theory about the film Barbie. It is available here: https://doi.org/10.1177/14647001241291382

• Articles

  • Hall SJ, Schwahn P, Semmelmann U. On the rigidity of the complex Grassmannians. Transactions of the American Mathematical Society 2025. In Press.
  • Hall SJ. On the rigidity of CP²ⁿ x CP¹. Complex Manifolds 2025, 12(1), 20240008.
  • Batat W, Hall SJ, Murphy T, Waldron J. Rigidity of SU_n-type symmetric spaces. International Mathematics Research Notices 2024, 2024(3), 2066-2098.
  • Hall SJ, Pirie R, Cole DJ. Riemannian geometry and molecular similarity I: spectrum of the Laplacian. Proceedings of the Royal Society A 2024, 480(2284), 20230343.
  • Hall SJ. Love must imagine the world: Quantum mechanics in Barbie. Feminist Theory 2024, 25(4), 516-520.
  • Batat W, Hall SJ, Murphy T. Destabilising compact warped product Einstein manifolds. Communications in Analysis and Geometry 2021, 29(5), 1061-1094.
  • Hall SJ, Murphy T, Waldron J. Compact Hermitian Symmetric Spaces, Coadjoint Orbits, and the Dynamical Stability of the Ricci Flow. The Journal of Geometric Analysis 2021, 31, 6195-6218.
  • Hall SJ. The canonical Einstein metric on G2 is dynamically unstable under the Ricci flow. Bulletin of the London Mathematical Society 2019, 51(3), 399-405.
  • Hall SJ, Murphy T. Bounding the first invariant eigenvalue of toric Kähler manifolds. Mathematical Research Letters 2017, 24(1), 67-81.
  • Hall SJ, Murphy T. Approximating Ricci solitons and quasi-Einstein metrics on toric surfaces. New York Journal of Mathematics 2016, 22, 615-635.
  • Batat W, Hall SJ, Jizany A, Murphy T. Conformally Kähler geometry and quasi-Einstein metrics. Muenster journal of Mathematics 2015, 8(1), 211-228.
  • Hall SJ, Haslhofer R, Siepmann M. The stability inequality for Ricci-flat cones. The Journal of Geometric Analysis 2014, 24(1), 472-494.
  • Hall SJ, Murphy T. On the spectrum of the Page and the Chen-LeBrun-Weber metrics. Annals of Global Analysis and Geometry 2014, 46(1), 87-101.
  • Hall SJ, Murphy T. Variation of complex structures and the stability of Kähler-Ricci solitons. Pacific Journal of Mathematics 2013, 265(2), 441-454.
  • Dancer AS, Hall SJ, Wang MY. Cohomogeneity one shrinking Ricci solitons: an analytic and numerical study. Asian Journal of Mathematics 2013, 17(1), 33-62.
  • Hall SJ, Murphy T. On the linear stability of Kaehler-Ricci solitons. Proceedings of the American Mathematical Society 2011, 139, 3327-3337.
  • Hall SJ. Computing Perelman's nu-functional. Differential geometry and its applications 2011, 29(3), 426-432.

• Book Chapter

  • Hall SJ, Murphy T. Bounding the invariant spectrum when the scalar curvature is non-negative. In: Van der Veken et. al, ed. Contemporary Mathematics: Geometry of Submanifolds. American Mathematical Society, 2020, pp.133-140.