DANIEL KETOVER 

 

• dk927 at math.rutgers.edu 
• Rutgers University
  Department of Mathematics
  Hill Center, Busch Campus
  110 Frelinghuysen Road
  Piscataway, NJ 08854-8019
  USA 
• Research Interests
• Geometric analysis 
• Low dimensional topology 
• Differential Geometry 

I am an Assistant Professor at Rutgers University (New Brunswick) working in geometric analysis, minimal surfaces, geometric flows, and low dimensional topology. My research is partially funded by NSF grants DMS-1906385 and DMS-2405114. I obtained my PhD under the direction of Toby Colding at MIT in 2014. I was then an NSF postdoc at Princeton University (under Fernando C. Marques) - one year of which was spent at Imperial College under Andre Neves. In 2018-2019 I was a member at the IAS during a special year on variational methods. Here is a more detailed CV. With Paul Feehan and Natasa Sesum I organize the NSF-funded Rutgers Annual Geometric Analysis Conference.   

Publications and Preprints

• Self-shrinkers whose asymptotic cones fatten (2024) arXiv 
• Genus one critical catenoid (2024) (with Giada Franz and Mario Schulz) arXiv 
• The Smale conjecture and min-max theory (2023) (with Yevgeny Liokumovich) arXiv 
• Free boundary minimal disks in convex bodies (2023) (with Robert Haslhofer) arXiv 
• On the existence of C^{1,1} curves of constant curvature (2020) (with Yevgeny Liokumovich) arXiv 
• Flipping Heegaard splittings (2022) arXiv 
• Asymptotically flat three-manifolds contain minimal planes (with Otis Chodosh) arXiv 
• Geometric methods in Heegaard theory (2020) (with Toby Colding and Dave Gabai) arXiv 
• On the existence of minimal Heegaard surfaces (with Yevgeny Liokumovich and Antoine Song) arXiv 
• Minimal two-spheres in three-spheres (with Robert Haslhofer) arXiv ( video lecture at the Fields Institute ) 
• Free boundary minimal surfaces of unbounded genus arXiv 
• Self-shrinking Platonic solids arXiv 
• Equivariant min-max theory arXiv 
• The catenoid estimate and its geometric applications (with Fernando C. Marques and Andre Neves) arXiv 
• Minimal surfaces with bounded index. (with Otis Chodosh and Davi Maximo) arXiv 
• On the classification of Heegaard splittings (with Toby Colding and Dave Gabai) 2015 arXiv (watch Prof. Gabai lecture on this result at IMPA ) 
• Entropy of closed surfaces and min-max theory (with Xin Zhou) to appear Jour. Diff. Geom. arXiv ( video lecture at Grenoble Institut Fourier ) 
• Degeneration of min-max sequences in three-manifolds. (PhD thesis) 2014 arXiv