I am an Assistant Professor in the Department of Mathematical Sciences at Sharif University of Technology. I completed my Ph.D. under the supervision of L. C. Evans and N. Reshetikhin at University of California, Berkeley. Before that, I received my BSc and MSc degrees in Mathematics, here at Sharif University.

My research is mainly about nonlinear partial differential equations, and free boundary problems. I am also interested in mathematical and theoretical aspects of Physics.

Here are links to my CV and my Google Scholar page.

 

Publications

10. A weakly coupled system of p-Laplace type in a heat conduction problem (with M. Fotouhi and H. Shahgholian), 38 pp, submitted.  arXiv:2309.12794

9. Nonlocal equations with gradient constraints, Calc. Var. Partial Differ. Equ., 62(7):193, 30 pp, 2023.  arXiv:2106.02653   DOI

8. Nonlocal fully nonlinear double obstacle problems, 15 pp, to appear in Differ. Integral Equ.  arXiv:2105.09417

7. Double obstacle problems and fully nonlinear PDE with non-strictly convex gradient constraints, J. Differ. Equ., 278:358–392, 2021.  arXiv:1907.04683   DOI

6. Global optimal regularity for variational problems with nonsmooth non-strictly convex gradient constraints, J. Differ. Equ., 279:76–135, 2021.  arXiv:1807.01590   DOI

5. The distance function from the boundary of a domain with corners, Nonlinear Anal., 181:294–310, 2019.  arXiv:1602.03425   DOI

4. An example of non-embeddability of the Ricci flow, Ann. Global Anal. Geom., 55(4):681–685, 2019.  arXiv:1408.2259   DOI

3. The regularity of some vector-valued variational inequalities with gradient constraints, Commun. Pure Appl. Anal., 17(2):413–428, 2018.  arXiv:1501.05339   DOI

2. On the shape of the free boundary of variational inequalities with gradient constraints, Interfaces Free Bound., 19(2):183–200, 2017.  arXiv:1508.02026   DOI

1. The free boundary of variational inequalities with gradient constraints, Nonlinear Anal., 123-124:1–22, 2015.  arXiv:1501.05337   DOI