Associate Professor, Fordham University

Fordham University

JMH Room 414

441 East Fordham Road

Bronx, NY 10458

USA

cbreiner (at) fordham (dot) edu

I am currently an Associate Professor at Fordham University in New York.

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

- Bubble tree convergence for harmonic maps into compact locally CAT(1) spaces , Joint with S, Lakzian, submitted.
- Complete Constant Mean Curvature Hypersurfaces in Euclidean space of dimension four or higher , Joint with N. Kapouleas, submitted.
- Existence of harmonic maps into CAT(1) spaces , Joint with A. Fraser, L.-H. Huang, C. Mese, P. Sargent, Y. Zhang, to appear "Comm. Anal. Geom."
- 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 Courses:

- Spring 2019 - Applied Calculus I

- Spring 2019 - Math for Business: Calculus

Previous Courses:

- 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.