Emily Witt

Michler Scholar

Publications

  • Lower bounds on the F-pure threshold and extremal singularities, with Z. Kadyrsizova, J. Kenkel, J. Page, J. Singh, K. E. Smith, and A. Vraciu, to appear in Transactions of the American Mathematical Society

  • Frobenius powers, with D. Hernández and P. Teixeira, Mathematische Zeitschrift 296 (2020), no. 1-2, 541-572

  • Connectedness and Lyubeznik numbers, with L. Núñez-Betancourt and S. Spiroff, International Mathematics Research Notices 2019 (2019), no. 13, 4233-4259

  • Local cohomology with support in ideals of maximal minors and sub-maximal Pfaffians, with C. Raicu and J. Weyman, Advances in Mathematics 250 (2014), 596-610.

  • Local cohomology with support in ideals of maximal minors, Advances in Mathematics 231 (2012) 1998-2012

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.

Ritvik Ramkumar

H.C. Wang Assistant Professor

Publications

  • On the parity conjecture for Hilbert schemes of points on threefolds (with Alessio Sammartano), Annali della Scuola Normale Superiori di Pisa, Classe di Scienze (to appear)
  • On Rees Algebras of 2-determinantal ideals (with Alessio Sammartano), Journal of the London Mathematical Society: Voume 109, Issue 1 (2024)
  • The fiber-full scheme (with Yairon Cid-Ruiz) (arxiv.2108.13986)
  • Rational singularities of nested Hilbert schemes (with Alessio Sammartano), International Mathematics Research Notices Issue 2: 1061-1122 (2024)
  • The Hilbert scheme of a pair of linear spaces, Mathematische Zeitschrift 300: 493-540 (2022)

Christian Gaetz

Klarman Fellow

Publications

Xuan Yao

Ph.D. Candidate

Morgan Weiler

NSF Postdoctoral Fellow

Benjamin Dozier

Assistant Professor

Publications

  • Equations of linear subvarieties of strata of differentials (with Frederick Benirschke and Samuel Grushevsky), arXiv:2011.11664 (2020), to appear in Geometry and Topology.
  • Measure bound for translation surfaces with short saddle connections, arXiv:2002.10026 (2020).
  • Coarse density of subsets of Mg (with Jenya Sapir), arXiv:1908.04458 (2019), to appear in Ann. Inst. Fourier.
  • Equidistribution of saddle connections on translation surfaces, J. Mod. Dyn. 14 (2019), 87–120.
  • Convergence of Siegel-Veech constants, Geom. Dedicata 198 (2019), 131–142.

Colby Kelln

Ph.D. Candidate

Xin Zhou

Associate Professor

Publications

1.    Generic scarring for minimal hypersurfaces along stable hypersurfaces (with A. Song), Geom. Funct. Anal. (2021), to appear, arXiv:2006.03038.
2.    On the Multiplicity One Conjecture in min-max theory, Ann. of Math. (2) 192 (2020), no. 3, 767-820.
3.    Existence of hypersurfaces with prescribed mean curvature I - Generic min-max (with J. Zhu), Camb. J. Math. 8 (2020), no. 2, 311-362.
4.    Min-max minimal disks with free boundary in Riemannian manifolds, (with L. Lin and A. Sun), Geom. Topol. 24 (2020), no. 1, 471-532.
5.    Min-max theory for constant mean curvature hypersurfaces, (with J. Zhu), Invent. Math. 218 (2019), no. 2, 441-490.
6.    Min-max theory for free boundary minimal hypersurfaces I: regularity, (with M. Li), J. Differential Geom., to appear, arXiv:1611.02612.
7.    Curvature estimates for stable minimal hypersurfaces with free boundary, (with Q. Guang and M. Li), J. Reine Angew. Math. 759 (2020), 245-264.
8.    Entropy of closed surfaces and min-max theory, (with D. Ketover), J. Differential Geom. 110 (2018), no. 1, 31-71.
9.    Min-max hypersurface in manifold of positive Ricci curvature, J. Differential Geom. 105 (2017), no. 2, 291-343.
10.    Min-max minimal hypersurface in (Mn+1, g) with Ricg > 0 and 2 ≤ n ≤ 6, J. Differential Geom. 100 (2015), no. 1, 129-160.
11.    Convexity of reduced energy and mass angular momentum inequalities, (with R. Schoen), Ann. Henri Poincaré 14 (2013), no. 7, 1747-1773.
12.    On the existence of min-max minimal surfaces of genus g ≥ 2, Commun. Contemp. Math. 19 (2017), no. 4, 1750041, 36 pp.

Nicole Magill

Ph.D. Candidate

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