Irina Kogan

Irina Kogan is a Professor in the Department of Mathematics at NC State University, part of the College of Sciences. She holds a PhD in Mathematics from the University of Minnesota (2000). Her research focuses on geometric study of differential equations, equivalence and symmetry problems, computational invariant theory, and symbolic computation. She is affiliated with the Symbolic Computation Research Group and the Topology, Geometry, and Mathematical Physics Research Group.

Dr. Kogan's recent work emphasizes differential invariants, object-image correspondence under projections, and computational methods in algebraic geometry. Her articles span topics like curve reconstruction, moving frames, and applications of invariant theory in computer vision and physics. Key contributions include studies on non-congruent curves with identical signatures and minimal-degree affine frames for polynomial curves.

Her research has addressed hyperbolic conservation laws, integrability theorems of Darboux, and algorithmic approaches to μ-bases and Jacobians. While no awards are explicitly listed, her extensive publication record reflects sustained contributions to geometric and algebraic research. She collaborates on projects like the NSF-funded 'Fundamental Challenges in Nonlinear Hyperbolic PDEs' (2013).

Dr. Kogan's affiliations include the Department of Mathematics office at SAS Hall 3146, and she maintains an active website. Her work bridges theoretical mathematics with computational applications, particularly in symbolic computation and geometric modeling.