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.
Klarman Hall
eap48@cornell.edu

Education

  • Ph.D (2011) Cornell University

Departments and programs

Links

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.

Klarman Hall
436 Malott Hall
dls432@cornell.edu

Education

  • Ph.D. (2019) Princeton University

Departments and programs

Links

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.

Klarman Hall
430 Malott Hall
yl3769@cornell.edu

Education

  • Ph.D. (2019) Harvard University

Departments and programs

Links

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.

     
Klarman Hall
590 Malott Hall
ks2443@cornell.edu

Education

  • Ph.D. (2022) KAIST

Departments and programs

Links

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.
Klarman Hall

Education

  • Ph.D. (1999) SUNY at Buffalo

Departments and programs

Matej Neumann

Ph.D. Student

Klarman Hall
mn528@cornell.edu

Departments and programs

Christopher Wang

Ph.D. Student

Klarman Hall
cyw33@cornell.edu

Departments and programs

Bilge Koksal

Ph.D. Student

Klarman Hall
bk463@cornell.edu

Departments and programs

Gaoming Wang

Visiting Assistant Professor

Publications

  • Curvature estimates for stable minimal surfaces with a common free boundary. Calc. Var. 61, 138 (2022). https://doi.org/10.1007/s00526-022-02226-3

  • Uniformization of surfaces with boundary and the application to the triple junction surfaces with negative Euler characteristic, submitted, arXiv:2110.12656, 2021.

  • Index of Embedded Networks in the Sphere, submitted, arXiv:2110.12653, 2021.

Klarman Hall

Education

  • Ph.D. (2022) The Chinese University of Hong Kong

Departments and programs

Links

Anna Skripka

Michler Scholar

Publications

  • MSE bounds for estimators of matrix functions, Linear Algebra and its Applications,  609 (2021), 231-252

  • Multilinear Operator Integrals: Theory and Applications (with A. Tomskova), Lecture Notes in Mathematics,  2250, Springer, 2019, XI+192 pp

  • Multilinear Schur multipliers and applications to operator Taylor remainders (with D. Potapov, F. Sukochev, A. Tomskova),  Advances in Mathematics,  320 (2017), 1063-1098

  • Estimates and trace formulas for unitary and resolvent comparable perturbations,  Advances in Mathematics,  311 (2017), 481-509

  • Spectral shift function of higher order (with D. Potapov, F. Sukochev), Inventiones Mathematicae,  193 (2013), no. 3, 501-538

Klarman Hall

Education

  • Ph.D. (2007) University of Missouri

Departments and programs

Links

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