Associate Professor, Brown University

Department of Mathematics

Brown University

Box 1917

151 Thayer St

Providence, RI 02912

christine_breiner (at) brown (dot) edu

I am an Associate Professor of Mathematics at Brown University. From 2013-2021, I was an Assistant and then Associate Professor of Mathematics at Fordham University. In 2012-2013 I was an NSF Postdoc at Columbia University and from 2009-2012 I was a C.L.E. Moore Instructor at MIT. I earned my PhD from Johns Hopkins University in 2009 under the advisement of Bill Minicozzi.

I am partially supported by an NSF CAREER grant DMS-1750254 and was previously supported by NSF grants DMS-1609198, DMS-1308420 and by a Simons Travel Grant.

My primary field of interest is geometric analysis - with current emphasis on constant mean curvature surfaces and harmonic maps.

- Harmonic branched coverings and uniformization of CAT(k) spheres, Joint with C. Mese, "J. Reine Angew. Math." (Crelle's Journal), available online.
- Bubble tree convergence for harmonic maps into compact locally CAT(1) spaces , Joint with S, Lakzian, "Calc. Var. and PDE", 59 (2020), no. 5, 23 pp.
- Complete Constant Mean Curvature Hypersurfaces in Euclidean space of dimension four or higher , Joint with N. Kapouleas, "Amer. J. Math." (2021), no. 4, 1161-1259.
- Existence of harmonic maps into CAT(1) spaces , Joint with A. Fraser, L.-H. Huang, C. Mese, P. Sargent, Y. Zhang, "Comm. Anal. Geom." 28 (2020), no. 4, 781-835.
- Logarithmically spiraling helicoids, Joint with S. Kleene, "Comm. Anal. Geom." 26 (2018), no. 3, 461-484.
- Regularity of harmonic maps from polyhedra to CAT(1) spaces , Joint with A. Fraser, L.-H. Huang, C. Mese, P. Sargent, Y. Zhang, "Calc. Var. and PDE" 57 (2018) no. 1.
- Quantitative stratification and higher regularity for biharmonic maps, Joint with T. Lamm, "Manuscripta Math." 148 (2015) 379-398.
- Compactness results for sequences of approximate biharmonic maps, Joint with T. Lamm, ''Pacific J. Math." 276 (2015) no. 1, 59-92.
- A minimal lamination of the interior of a positive cone with quadratic curvature blowup, Joint with S. Kleene, "J. Geom. Anal." 25 (2015) 1409-1420
- Embedded Constant Mean Curvature Surfaces in Euclidean Three Space, Joint with N. Kapouleas, "Math. Ann." 360 (2014) 1041-1108.
- A Variational Characterization of the Catenoid, Joint with J. Bernstein, "Calc. Var. and PDE" 49 (2014) 215-232.
- Symmetry of Embedded Genus-One Helicoids, Joint with Jacob Bernstein, "Duke Math. J." 159 (2011) 83-97.
- Conformal Structure of Minimal Surfaces with Finite Topology, Joint with Jacob Bernstein, "Comm. Math. Helv." 86 (2011) 353-381.
- Helicoid-like Minimal Disks and Uniqueness, Joint with Jacob Bernstein, "J. Reine Angew. Math." (Crelle's Journal) 655 (2011) 129-146.
- Distortions of the Helicoid, Joint with Jacob Bernstein, "Geometriae Dedicata." 137 (1), (2008) 143-147.

Current Course:

- Fall 2021 - Honors Multivariable Calculus

Previous Courses:

- Spring 2021 - Math for Business: Calculus

- Spring 2021 - Multivariable Calculus II

- Fall 2020 - Parental Leave

- Spring 2020 - Math for Business: Calculus

- Spring 2020 - Multivariable Calculus II

- Fall 2019 - Multivariable Calculus I

- Spring 2019 - Applied Calculus I

- Spring 2019 - Math for Business: Calculus

- Fall 2018 - Parental Leave

- Spring 2018 - Applied Calculus I

- Spring 2018 - Multivariable Calculus II

- Fall 2017 - Calculus I

- Fall 2017 - Multivariable Calculus I

- Fall 2016 - Math for Business: Calculus, Real Analysis

- Fall 2015 - Math for Business: Finite, Discrete Math, Probability

- Spring 2015 - Differential Geometry

- Fall 2014 - Real Analysis

- Spring 2014 - Multivariable Calculus I

- Fall 2013 - Math for Business: Precalculus

While a CLE Moore Instructor at MIT:

- 18.014 - Fall 2010 - Calculus with Theory

- 18.024 - Spring 2011 - Multivariable Calculus with Theory

- 18.02A - Spring 2012 - Multivariable Calculus - Second Half

- OCW Scholar Single Variable Calculus - a joint project at MIT. Find me in the recitation .

- OCW Scholar Multivariable Calculus - a joint project at MIT. Find me in the recitation videos.