Dr. Ryan Brown
Associate Professor
Department of Mathematics
Georgia College

Contact Information:

Address Department of Mathematics
CBX 017
Georgia College & State University
Milledgeville, GA 31061 USA
Phone: 478-445-0974
Email: ryan.brown AT gcsu.edu
Office Location: A&S 1-39B

Study Abroad in Peru in 2015!

New World Mathematics Blog


CV

Teaching

Dr. Brown's Fall 2014 Schedule

Georgia View or D2L

MATH 2600: Probability and Statistics

MATH 4010: History of Mathematics


Scholarship

  1. (with T. Garrity, R. Belshoff, L. Boos, C. Lienert, D. Murphy, J. Navarra-Madsen, P. Poitevin, S. Robinson, B. Snyder, and C. Werner) Algebraic Geometry: A Problem Solving Approach AMS/IAS, 2013.

Research related to my dissertation

  1. (with J. Segert) Topological invariants of putative ℂ*-symmetric exotic complex projective spaces. Pacific J. Math. 244 (2010), no. 2, 201--210. pdf
  2. Properties of a hypothetical exotic complex structure on ℂP3. Math. Bohem. 132 (2007), no. 1, 59--74. pdf


If I were a Springer-Verlag Graduate Text in Mathematics, I would be Frank Warner's Foundations of Differentiable Manifolds and Lie Groups.

I give a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. I include differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provide a proof of the de Rham theorem via sheaf cohomology theory, and develop the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find me extremely useful.

Which Springer GTM would you be? The Springer GTM Test


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