# 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.*

# 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
Vol. 121, No. 2 (February 2014), pp. 165-166.

The American Mathematical Monthly - The Poincare-Hopf index theorem and the fundamental theorem of algebra
***Summer 2016, pp. 34-38.

The Princeton Undergraduate Mathematics Journal - Trigonometric derivatives made easy*
vol. 47, no. 5 (November 2016), pp. 365–366

The College Mathematics Journal, - On the derivatives of the trigonometric functions the easy way (Hebrew translation)
***(Israel), Issue 55, pp. 60-61. [In Hebrew]

Ale”h - Bulletin for the Mathematics Teacher - An alternative approach to the product rule
***Vol. 123, No. 5 (May 2016), p. 470.

The American Mathematical Monthly - Problem 361
*(with Brian Freidin)*Vol. 25, Issue 1 (September 2017), pp. 28.

Math Horizons - Problem 11953

The American Mathematical Monthly - Problem 1889
*(with Gary Gordon)*Vol. 85, No. 1 (February 2012), pp. 61-68.

Mathematics Magazine

**Written under the pseudonym Piotr Josevich.
*