## Brian Freidin

Brown University### Contact Info

Department of MathematicsBox 1917

Brown University

151 Thayer Street

Providence, RI 02912

Email: brian_freidin [at] alumni [dot] brown [dot] edu

### About Me

I graduated in May 2018 from Brown University, where I worked under the supervision of George Daskalopoulos. In the fall of 2018 I visited the IAS for their program "Variational Methods in Geometry," and in the spring of 2019 I returned to Brown University as a visiting assistant professor. In the fall of 2019 I will be at the University of British Columbia as a PIMS postdoctoral fellow.

### Research

I am interested in applications of harmonic maps between singular statements. Some of these applications lie in rigidity statements for spaces of curvature bounded above, while others are in Teichmuller theory.

### Teaching

Fall 2014 - TA, Math 100 Calc 2Spring 2015 - TA, Math 90 Calc 1

Fall 2015 - TF, Math 170 AP Calc 2

Spring 2016 - TF, Math 100 Calc 2

Fall 2016 - TF, Math 520 Linear Algebra

Spring 2018 - TA, Math 60 Analytic Geometry and Calculus

Spring 2019 - Instructor, Math 520 Linear Algebra and 540 Honors Linear Algebra

### Papers

Harmonic maps between ideal 2-dimensional simplicial complexes (with V. Gras Andreu) to appear in Geometriae DedicataA Bochner Formula for Harmonic Maps into Non-Positively Curved Metric Spaces to appear in Calc. Var. and PDE

Area bounds for free boundary minimal surfaces in a geodesci ball in the sphere (with P. McGrath) to appear in Journal of Functional Analysis

Sharp Area Bounds for Free Boundary Minimal Surfaces in Conformally Euclidean Balls (with P. McGrath), International Math. Research Notices, rny 169 (2018).

A Liouville-ype theorem and Bochner formula for maps into metric spaces (with Y. Zhang)

Free Boundary Minimal Surfaces in the Unit Ball (with Low Cohomogeneity (with M. Gulian and P. McGrath), Proc. Amer. Soc. Math. 145 (2017), 1671-1683.