Brian FreidinBrown University
Contact InfoDepartment of Mathematics
151 Thayer Street
Providence, RI 02912
Email: brian_freidin [at] alumni [dot] brown [dot] edu
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.
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.
TeachingFall 2014 - TA, Math 100 Calc 2
Spring 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
PapersHarmonic maps between ideal 2-dimensional simplicial complexes (with V. Gras Andreu) to appear in Geometriae Dedicata
A 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.