Or Hershkovits's Homepage

Hello!

You've reached the website of Or Hershkovits. I am a Mathematician at the Hebrew University of Jerusalem. 

Research Interests:

Most of my research has been focused in the field of geometric flows, and in particular, mean curvature flow. I'm also interested in differential geometry, PDEs, geometric measure theory and geometric analysis in general.   

Publications and Preprints:

1. Mean curvature flow in de Sitter space (with Leonardo Senatore). Preprint. [arXiv] 

2. Enhanced profile estimate for ovals and translators (with Kyeongsu Choi and Robert Haslhofer). Submitted. [arXiv] 

3. A de Sitter no-hair theorem for 3+1d cosmologies with isometry group forming 2-dimensional orbits (with Paolo Creminelli, Leonardo Senatore and Andras Vasy). To appear in Adv. in Math [arxiv]

4. Classification of non-collapsed translators in R^4 (with Kyeongsu Choi and Robert Haslhofer).To appear in Camb. J. Math [arXiv]

5. A non-existence result for wing-like mean curvature flows in R^4 (with Kyeongsu Choi and Robert Haslhofer). To appear in Geom. Topol. [arXiv]

6. Moving plane methods for varifolds and applications (with Robert Haslhofer and Brian White).  To appear in Amer. J. Math. [arxiv] 

7. A note on selfsimilarity of limit flows (with Beomjun Choi and Robert Haslhofer). To appear in Proc. of the AMS. [arXiv]

8. Ancient asymptotically cylindrical flows and applications (with Kyeongsu Choi, Robert Haslhofer and Brian White). To appear in Invent. Math. [arXiv]

9. Ancient low entropy flows, mean convex neighborhoods, and uniqueness (with Kyeongsu Choi and Robert Haslhofer). To appear in Acta Math. [arXiv]

10. Avoidance of Set Theoretic Solutions to Mean-Curvature-Type Flows (with Brian White). To appear in CAG [arXiv]

11. Translators asymptotic to cylinders. J. Reine Angew. Math, 766 (2020), 61-71 [arXiv]

12. Sharp entropy bounds for self-shrinkers in Mean Curvature Flow (with Brian White). Geom. Topol. 23 (2019) no. 3, 1611-1619  [arxiv]

13. Non-fattening of mean curvature flow at singularities of mean convex type (with Brian White). Comm. Pure. Appl. Math. 73 (2020) no. 3, 558-580.[arxiv] 

14. The moduli space to two-convex embedded tori (with Reto Buzano and Robert Haslhofer). To appear in IMRN 2019, no. 2, 392-406. [arxiv]

15. The moduli space of two-convex embedded spheres (with Reto Buzano and Robert Haslhofer). To appear in JDG [arxiv]

16. Mean curvature flow of arbitrary co-dimensional Reifenberg sets.  Calc. Var. PDE.  (2018)  57:148   [arxiv].

17. Singularities of mean convex level set flow in general ambient manifold (with Robert Haslhofer).  Adv. Math. (2018) 329:1137-1155[arxiv]

18. Mean curvature flow of Reifenberg sets. Geom. Topol.(2017) 441-484[arxiv].

19. Isoperimetric properties of the mean curvature flow. Trans. Amer. Math. Soc. 369 (2017), 4367-4383  [arxiv].

20. Ancient solutions to the mean curvature flow (with Robert Haslhofer). Comm. Anal. Geom. 24(3): 593-604 2016[arxiv]

Teaching:

• Topics in Geometric measure theory, Fall 2021.

• Differential Equations, Hebrew University, Spring 2021

• Topics in Ricci Curvature, Hebrew University, Fall 2020 

• MATH146 (Differentiable manifolds), Stanford, Spring 2020 

• MATH52 (Multivariable integration), Stanford, Winter 2019 

• MATH 215C (Riemannian Geometry), Stanford, Spring 2018, Spring 2020

• MATH 172 (Real Analysis), Stanford, Spring 2018, Spring 2019 

• MATH53 (ODEs), Stanford, Spring 2017, Winter 2018 

• Topics in Mean Curvature Flow, Stanford, Winter 2017 

If you have any questions, please feel free to contact me via e-mail. 

My e-mail address is my first name dot my last name at gmail.