Oscar Gonzalez , June 2012

The common application is DNA structure prediction and measurement. Topics 1-3 are most recent, whereas 4-5 are older. Although the modeling of DNA structure and various experimental methods for measuring it has served as a rich source of motivation, the subject matter of most of my research has applicability beyond this theme. My research is of an interdisciplinary nature and has contributed to the training of students and course development, and has been funded with multiple awards. I have published articles in various journals across mathematics, physics and chemistry. I have also published a textbook that provides fundamental background material for much of my research. I have supervised students at the PhD, Masters and undergraduate levels and have used results from my research in the development of my modeling and numerical analysis courses. I have been supported by various single-investigator grants from the National Science Foundation, and I am currently involved in an emerging collaborative grant proposal, with both analysts and experimentalists, to study the mechanical interactions between DNA and the anti-cancer drug Cisplatin. In this summary, I give a brief overview of the research topics listed above and discuss my main results. Slides from talks on a collection of these topics are available online in the research portion of my webpage.