The faculty of the Mathematics Department are actively involved in creative research at the frontier of mathematical knowledge.  The department is loosely sectioned into the following research groups, but a great deal of collaboration and communication crosses these boundaries.  Click on the group to see details.

Other research related websites are:

  • The homepage for the Research and Training Group AGANT (Algebraic Geometry, Algebra, and Number Theory), an RTG funded by the NSF
  • The archived homepages for VIGRE at UGA, a program funded by the NSF

Finally, a snapshot of the department in 2008, with the research collaboration graph of the members of the department, assembled by Brian Boe.

 

Research Areas


Additive Combinatorics

Additive Combinatorics and Discrete Analysis Research Group at the Department of Mathematics at the University of Georgia. Follow the following link for more information on this particular research area: https://research.franklin.uga.edu/additive-combinatorics/


Algebra

The algebra group has a vibrant training program for graduate students and postdoctoral fellows. 
The algebra group has sponsored three NSF Postdoctoral Fellows: Wayne Wheeler (1996-98), David Hemmer (2001-03) and Jonathan Kujawa (2003-07). If you interested in applying to the Department of Mathematics at UGA for graduate studies or a postdoc, please do not hestitate to contact one of our faculty members.


Algebraic Geometry

The Algebraic Geometry group at the Department of Mathematics at the University of Georgia is interested in topics like Geometric and arithmetic aspects of hyperbolicity in moduli spaces, torsion structures on abelian varieties, and many others. Please click on the following link for more information about this research area: http://research.franklin.uga.edu/agant/algebraic-geometry


Analysis

Additive Combinatorics and Discrete Analysis Research Group at the Department of Mathematics at the University of Georgia. Follow the following link for more information on this particular research area: https://research.franklin.uga.edu/additive-combinatorics/


Applied Mathematics

The Applied Mathematics Group in the Department of Mathematics at the University of Georgia has scientific interests in Mathematical Biology, Mathematical Ecology, Computational Mathematics, Approximation Theory, Dynamical Systems, Signal Processing, Control Theory, and Mathematical Finance. The research topics its members are currently investigating include epidemiology and systems biology of malaria, stability in population dynamics models, systems ecology, network analysis, microbial community analysis, compressive sensing, video restoration, stochastic filtering, and multivariate spline methods for applications such as numerical solutions of partial differential equations, scattered data interpolation and fitting, and image analysis.


Geometric Analysis

The Geometry Analysis group that is interested in: interactions between elliptic PDE's and differential geometry/topology, conformal geometry, minimal surfaces and other variational problems, CR geometry, geometric structures in low dimensional topology/dynamics, and geometric functional inequalities.


Geometry

The interests of the Geometry research area group at the Department of Mathematics at the University of Georgia revolve around differential geometry, broadly construed. We have a weekly seminar that meets on Fridays at 2:30.


Number Theory and Arithmetic Geometry

The Number Theory and Arithmetic Geometry group at the Department of Mathematics at the University of Georgia is interested in topics like the arithmetic of abelian varieties; torsion points, endomorphism algebras, Weil-Chatelet groups. Modular curves and Shimura curves. Period-index problems, and many others. Please click the following link for more information about this research area: https://research.franklin.uga.edu/agant/number-theory-and-arithmetic-geometry 


Topology

Each summer since 1961 we have hosted the Georgia Topology conference and every eighth year it's "the big one", a 2-week long festival of topology which we call the Georgia International Topology Conference.  For additional information see our conference webpage.