Professor Gene Allgower joined the Mathematics Department of Colorado State University in 1966.

He has been a visiting professor at various universities (ETH Zurich, Bonn, Stuttgart, Hamburg, Marburg, Neimegen, TU Dresden, and the National Chung-Hsing University in Taiwan). In 1988-89 he held a Senior Alexander von Humboldt Fellowship. In 1998, he was a visiting researcher at the Mathematical Sciences Research Institute in Berkeley. In the summer of 2001, he gave a graduate course at the University of Hamburg on the subject of numerical solution of nonlinear systems of equations.

Prof. Allgower has given numerous invited lectures at international conferences in Europe, Asia, North and South America and the Middle East. Prof. Allgower has authored or co-authored a number of invited survey articles. He has co-authored together with Prof. Kurt Georg three monographs on Numerical Continuation Methods. Professor Allgower has published numerous papers and has often received research grants from federal agencies. Many of the papers co-authored with Prof. Georg are posted at here. Recently, he has focused his interest on exploiting invariance properties under the actions of symmetry groups in numerical and applied mathematics. These ideas are now being applied to large scale continuation problems. In addition, he has also recently been interested in exclusion algorithms for the solution of nonlinear systems of equations and global optimization.

Prof. Allgower has been a co-organizer of a number of international conferences. He was a co-organizer of the joint AMS-SIAM Conference, which took place at Mt. Holyoke College in July, 2000.

Professor Allgower has organized a student exchange program between the Colorado State University Mathematics Department and the Mathematics Department at the University of Marburg, Germany. He has been the thesis advisor of numerous MS and PhD students.

Together with Professor Georg, he administered a program for Research Experience for Undergraduates (REU) which was sponsored by the National Science Foundation (NSF). REU grants are intended to provide outstanding undergraduate students with some introductory experience in in areas of mathematical research.