Rodolfo Torres received his PhD in mathematics in 1989 from Washington University in St. Louis. He held postdoctoral positions at the Courant Institute of Mathematical Sciences of New York University and the University of Michigan, Ann Arbor. In 1996 he moved to the University of Kansas (KU), where he advanced through the ranks becoming a Full Professor in 2003 and a University Distinguished Professor in 2016. His research interests include Fourier analysis and applications in partial differential equations, signal analysis, and biology. He specializes in the study of singular integrals, function spaces, and decomposition techniques. Since 1993 his research has been supported by several grants form the National Science Foundation. Through his research collaborations in mathematics he has given numerous lectures around the world and his interdisciplinary work in biology has received considerably media attention, including articles in The New York Times, Science Magazine, and Discovery Channel on-line. He regularly mentors graduate and undergraduate students and has received various teaching awards for his efforts with students, including a Teaching Excellent Award from the T. Kemper Foundation. He was elected to the inaugural class of Fellows of the American Mathematical Society. He is a former Faculty Senate President at KU and in 2012 was appointed Associate Vice Chancellor for Research. He currently also serves as a Vice President of the University of Kansas Center for Research Inc.
Prof. Torres works in Fourier analysis. He is interested in singular integrals, Calderón-Zygmund theory, multilinear operators, function spaces, and discrete decompositions such as wavelets. Fourier analysis is a mathematical tool that permits the decomposition of a signal into a combination of oscillating waves of different frequencies and amplitudes, very much in the same way that a prism separates a beam of light into a rainbow of colors of different wavelengths. This analysis decodes information present in the signal and provides a precise mechanism to quantify oscillations, sudden changes, patterns, and symmetries in the data. Applications of Torres' theoretical research include partial differential equations and signal analysis. He has also done contributions in the spectral analysis of coloration in nanostructured biological tissues.
- Fourier analysis
- Applications in partial differential equations, signal analysis, and biology