Will Gilroy

Ph.D. Student

Hosea Wondo

Visiting Assistant Professor

Publications

  • H. Wondo and Z. Zhang, “Independence of singularity type for numerically effective Kähler-Ricci flows.” To appear in Geometry and Topology. 
  • H. Wondo, “Calabi symmetry and the continuity method.” International Journal of Mathematics. Vol. 34, No. 12, (2023).
  • H. Wondo, “Curvature estimates for the continuity method.” Communications in Contemporary Mathematics. Vol. 25, No. 09, (2023).

Zhihan Wang

Klarman Fellow

Publications

  • Z. Wang, “Mean convex smoothing of mean convex cones”, Geometric and Functional Analysis, pp. 1–39, 2024.
  • A. Sun and Z. Wang, “On mean curvature flow translators with prescribed ends”, arXiv preprint arXiv:2301.08224, 2023.
  • Y. Li and Z. Wang, “Minimal hypersurfaces for generic metrics in dimension 8”, arXiv preprint arXiv:2205.01047, 2022.
  • Z. Wang, “Min–max minimal hypersurfaces with obstacle”, Calculus of Variations and Partial Differential Equations, vol. 61, no. 5, pp. 1–26, 2022.
  • Y. Li and Z. Wang, “Generic regularity of minimal hypersurfaces in dimension 8”, arXiv preprint arXiv:2012.05401, 2020.
  • Z. Wang, “Deformations of singular minimal hypersurfaces I, isolated singularities”, arXiv preprint arXiv:2011.00548, 2020.

Mingjun Sun

Ph.D. Student

Xuanyu Li

Ph.D. Student

Rachel Webb

Assistant Research Professor

Publications

Daniel Stern

Assistant Professor

Publications

  • Existence of harmonic maps and eigenvalue optimization in higher dimensions (with M. Karpukhin), arXiv preprint, arXiv:2207.13635.

  • Quantization and non-quantization of energy for higher-dimensional Ginzburg—Landau vortices (with A. Pigati), Ars Inveniendi Analytica (2023), Paper No. 3, 55p.

  • From Steklov to Laplace: free boundary minimal surfaces with many boundary components (with M. Karpukhin), arXiv preprint, arXiv:2109.11029.

  • Min-max harmonic maps and a new characterization of conformal eigenvalues (with M. Karpukhin), arXiv preprint, arXiv:2004.04086.

  • Harmonic functions and the mass of 3-dimensional asymptotically flat Riemannian manifolds (with H. Bray, D. Kazaras, and M. Khuri), Journal of Geometric Analysis, vol. 32 (2022).

  • Scalar curvature and harmonic maps to S^1, Journal of Differential Geometry, vol. 122 no. 2 (2022), 259—269.

  • Minimal submanifolds from the abelian Higgs model (with A. Pigati), Inventiones Mathematicae, vol. 223 (2021), 1027—1095.

Yusheng Luo

Assistant Professor

Publications

  • (with R. Lodge and S. Mukherjee) On deformation space analogies between Kleinian reflection groups and antiholomorphic rational maps, Geom. Funct. Anal., 32:1428–1485, 2022.

  • (with R. Lodge and S. Mukherjee) Circle packings, kissing reflection groups and critically fixed anti-rational maps, Forum Math. Sigma, 10: e3, 2022.

  • On geometrically finite degenerations I: boundaries of main hyperbolic components, J. Eur. Math. Soc. (JEMS), to appear, 2021.

  • Trees, length spectra for rational maps via barycentric extensions and Berkovich spaces, Duke Math. J., 171(14): 2943–3001, 2022.

  • Limits of rational maps, R-trees and barycentric extension, Adv. Math., 394:108075, 2021.

  • On the inhomogeneity of Mandelbrot set, Int. Math. Res. Not. IMRN, 2021(8):6051–6076, 2021.

Jun Michael Ling

Visiting Professor

Publications

  • The square of Nijenhuis tensor and its vanishing results, Asian-European Journal of Mathematics, volume 15 (2022), no 8.
  • (joint with X.~Cao, S.~Hou) Estimate andmonotonicity of the first eigenvalue under Ricci Flow, Math. Ann. volume 354 (2012), pages 451–463. 
  • Estimates on the lower bound of the first gap, Comm.  Anal. Geometry, volume 16 (2008), no 3  539-563.
  • The first eigenvalue of a closed manifold with positive Ricci curvature, Proc. Amer. Math. Soc., volume 134  (2006), no. 10, 3071-3079.

Juliet Aygun

Ph.D. Student

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