Emil Graf

Ph.D. Student

Harry Fluck

Ph.D. Candidate

Brian Chao

Ph.D. Candidate

Malte Hassler

Ph.D. Candidate

Diana Halikias

Ph.D. Candidate

Terence Harris

Harry Kesten Assistant Professor

Publications

  • Improved bounds for restricted projection families via weighted Fourier restriction, ArXiv preprint. (2019)
  • A lower bound for the a.e. behaviour of Hausdorff dimension under vertical projections in the Heisenberg group (to appear in Ann. Acad. Sci. Fenn. Math.), ArXiv preprint. (2018)
  • Improved decay of conical averages of the Fourier transform, Proc. Amer. Math. Soc. 147 (2019), no. 11, 4781-4796.
  • (with B. Kirchheim and C.-C. Lin) Two-by-two upper triangular matrices and Morrey’s conjecture, Calc. Var. Partial Differential Equations 57 (2018), no. 3, Art. 73, 12 pp.
  • Upper semicontinuity of the lamination hull, ESAIM Control Optim. Calc. Var. 24 (2018), no. 4, 1503–1510.

 

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.

Alice Nadeau

NSF Postdoctoral Associate (Visiting Assistant Professor)

Publications

  • Stable asymmetric ice belts in an energy balance model of Pluto, (with E. Jaschke), Icarus. 331: (2019), p. 15-25. 
  • A simple formula for calculating a planet's mean annual insolation by latitude, (with R. McGehee), Icarus. 291: (2017) p. 46-50.

Mark Dalthorp

Ph.D. Candidate

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