Nikhil Sahoo
Ph.D. Candidate
Education
Bachelor of Arts with Honors (2020), University of California, Berkeley
Xuan Yao
Ph.D. Candidate
Education
Bachelor of Science (2021), Tsinghua University
Departments and programs
Links
Morgan Weiler
NSF Postdoctoral Fellow
Education
- Ph.D. (2019) University of California, Berkeley
Departments and programs
Links
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.
Education
- Ph.D. (2018) Stanford University
Departments and programs
Links
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.
Education
- Stanford University, Ph.D. in mathematics (2013)
- Peking University, M.S. in mathematics (2008)
- Tsinghua University, B.S. in physics and mathematics (2006)
Departments and programs
Links
Nicole Magill
Ph.D. Candidate
Education
- B.A. (2016) Quest University Canada, mathematics
- M.S. (2018) Smith College, mathematics
Departments and programs
Links
Yun Liu
Ph.D Candidate
Education
B.S. (2016) Fudan University, mathematics
Departments and programs
Max Lipton
Ph.D. Candidate
Education
M.S. Special (2020) Cornell University, computer science
B.A. (2016) Willamette University, mathematics and computer science
Departments and programs
Links
Max Hallgren
Ph.D. Candidate
Education
- M.S. Special (2018) Cornell University, mathematics
- B.S. (2016) Cornell University, mathematics
Departments and programs
Links
Andres Fernandez Herrero
Ph.D. Candidate
Education
M.S. Special (2019) Cornell University, mathematics
B.A. (2016) University San Diego, mathematics