Research Papers and Preprints
- Symmetry and isoperimetry for Riemannian surfaces (with Joe Hoisington).
- Generalizing the linearized doubling approach and new minimal surfaces
and self-shrinkers via doubling (with Nikolaos Kapouleas).- An isoperimetric deficit formula J. Geom. Anal. (2020).
- Minimal surfaces in the round three-sphere by doubling the equatorial two-sphere, II
(with Nikolaos Kapouleas). Comm. Pure Appl. Math. 72 (2019), 2121-2195- Area bounds for free boundary minimal surfaces in a geodesic ball in the sphere
(with Brian Freidin). J. Funct. Anal. 277 No. 11 (2019), 108276.- Sharp area bounds for free boundary minimal surfaces in conformally euclidean balls
(with Brian Freidin). International Mathematics Research Notices (2018).- Rotational symmetry of asymptotically conical mean curvature flow self-expanders
(with Frederick Tsz-Ho Fong). Comm. Anal. Geom. 27 No. 3 (2019), 599-618- A characterization of the critical catenoid
Indiana University Mathematics Journal, 67, No. 2 (2018), 889-897.- Free boundary minimal surfaces in the unit ball with low cohomogeneity
(with Brian Freidin, Mamikon Gulian).Proc. Amer. Math. Soc. 145 (2017), pp. 1671-1683. - Generalizing the linearized doubling approach and new minimal surfaces
Other Publications
- Newton's shell theorem via Archimedes's hat box and single-variable calculus
College Math. J. 49 (2018), no. 2, 109–113. 2019 George Polya Award Winner - A note regarding Hopf's umlaufsatz
The American Mathematical Monthly Vol. 125, No. 6 (June 2018), pp. 541-544.- On the smooth Jordan Brouwer separation theorem
The American Mathematical Monthly Vol. 123, No. 3 (March 2016), pp. 292-295.- An extremely short proof of the hairy ball theorem
The American Mathematical Monthly Vol. 123, No. 5 (May 2016), pp. 502-503.- Another proof of Clairaut's theorem
The American Mathematical Monthly Vol. 121, No. 2 (February 2014), pp. 165-166.- The Poincare-Hopf index theorem and the fundamental theorem of algebra*
The Princeton Undergraduate Mathematics Journal Summer 2016, pp. 34-38.- Trigonometric derivatives made easy*
The College Mathematics Journal, vol. 47, no. 5 (November 2016), pp. 365–366- On the derivatives of the trigonometric functions the easy way (Hebrew translation)*
Ale”h - Bulletin for the Mathematics Teacher (Israel), Issue 55, pp. 60-61. [In Hebrew]- An alternative approach to the product rule*
The American Mathematical Monthly Vol. 123, No. 5 (May 2016), p. 470.- Problem 361 (with Brian Freidin)
Math Horizons Vol. 25, Issue 1 (September 2017), pp. 28.- Problem 11953
The American Mathematical Monthly Vol. 118, No. 8 (October 2011), pp. 747-754.- Problem 1889 (with Gary Gordon)
Mathematics Magazine Vol. 85, No. 1 (February 2012), pp. 61-68. - On the smooth Jordan Brouwer separation theorem
*Written under the pseudonym Piotr Josevich.