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.

Eyvindur Palsson

Visiting Scholar

Publications

  • E. A. Palsson, F. Romero Acosta, A Mattila-Sjölin theorem for triangles, Journal of Functional Analysis, 284 (2023), no. 6, #109814.
  • T. C. Anderson, A. V. Kumchev, E. A. Palsson, Discrete maximal operators over surfaces of higher codimension, La Matematica, 1 (2022), no. 2, 442-479.
  • A. Iosevich, E. A. Palsson, S. R. Sovine, Simplex averaging operators: quasi-Banach and Lp-improving bounds in lower dimensions, Journal of Geometric Analysis, 32 (2022), no. 3, Paper No. 87, 16 pp.
  • E. A. Palsson, S. Senger, A. Sheffer, On the number of discrete chains, Proceedings of the American Mathematical Society, 149 (2021), no. 12, 5347-5358.
  • E. A. Palsson, S. R. Sovine, The triangle averaging operator, Journal of Functional Analysis, 279 (2020), no. 8, #108671.
  • J. DeWitt, K. Ford, E. Goldstein, S. J. Miller, G. Moreland, E. A. Palsson, S. Senger, Dimensional lower bounds for Falconer type incidence theorems, Journal d'Analyse Mathématique, 139 (2019), 143-154.
  • Y. Do, R. Oberlin, E. A. Palsson, Variation-norm and fluctuation estimates for ergodic bilinear averages, Indiana University Mathematics Journal, 66 (2017), no. 1, 55-99.
  • A. Greenleaf, A. Iosevich, B. Liu, E. A. Palsson, A group-theoretic viewpoint on Erdos-Falconer problems and the Mattila integral, Revista Matematica Iberoamericana, 31 (2015), no. 3, 799-810.

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.

Kihoon Seong

H.C. Wang Assistant Professor

Publications

  • Phase transition of singular Gibbs measures for three-dimensional Schrödinger-wave system, arXiv:2306.17013
  • Focusing Gibbs measures with harmonic potential (with T. Robert, L. Tolomeo, Y. Wang), arXiv:2212.11386
  • Transport of Gaussian measures under the flow of one-dimensional fractional nonlinear Schrödinger equations (with J. Forlano), Comm. Partial Differential Equations, 47 (2022), no. 6, 1296-1337.
  • Invariant Gibbs dynamics for the two-dimensional Zakharov-Yukawa system, arXiv:2111.11195
  • A remark on Gibbs measures with log-correlated Gaussian fields (with T. Oh, L. Tolomeo), arXiv:2012.06729
  • Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation in negative Sobolev spaces (with T. Oh), J. Funct. Anal. 281 (2021), no. 9, 109150, 49 pp.

     

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.

Matej Neumann

Ph.D. Student

Christopher Wang

Ph.D. Student

Bilge Koksal

Ph.D. Student

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