Dr. Fabrizio Colombo

Affiliated Scholar with the Institute for Quantum Studies

Interests: the mathematics of superoscillations, inverse problems for materials with memory, spectral theory for n-tuples of operators and for quaternionic operators, hypercomplex analysis and its applications.

Andrew Jordan

Professor of Physics, University of Rochester; Affiliated Scholar with the Institute for Quantum Studies

Prof. Jordan received his B.S. in Physics and Mathematics (1997) from Texas A&M University and his Ph.D. in Theoretical Physics (2002) from the University of California, Santa Barbara. He was a postdoctoral fellow at the University of Geneva (2002-2005) and a research scientist at Texas A&M (2005-2006). He joined the University of Rochester as Assistant Professor of Physics in 2006, and was promoted to Associate Professor with Tenure in 2012.

Professor Jordan is a member of the Center for Quantum Information and the Rochester Theory Center for Optical Science and Engineering.

Professor Jordan joined the Institute of Quantum Studies at Chapman University as an Affiliated Scholar in 2012.

Research: Prof. Jordan's research interests are in theoretical Quantum Physics, Condensed Matter Physics, and Quantum Optics. Themes of interest include nanophysics, the theory of weak quantum measurement, quantum information, and random processes in nature. Nanophysics addresses fundamental physical problems that occur when a macroscopic object is miniaturized to dimensions at the nanometer scale. The theory of weak quantum measurement makes predictions about the random nature of continuous measurements made over some time period, and how these measurements are useful for the purposes of processing quantum information. Recent results include how to uncollapse the wavefunction, the statistical properties of single-electron currents through a quantum dot, and the use of weak values as precision optical amplifiers.

Dr. Domenico Napoletani

Professor, Research Faculty, and Affiliated Scholar with the Institute for Quantum Studies

Domenico Napoletani is a mathematician, theoretical biologist and a research professor at Chapman University. His most recent work proposes a theoretical setting for the study of robustness in biological systems by adapting phase and path integrals techniques to the study of high dimensional classification functions. A parallel line of research is the study of the problem of reconstructing and controlling protein networks structure from limited, noisy reverse phase protein array data sets. Dr. Napoletani's guiding methodological viewpoint is to attempt a profound cross-fertilization of signaling processing and dynamical systems techniques, and to approach signaling networks’ problems with weak assumptions. He has also explored the epistemological implications of these methodologies, suggesting a series of paradigms to structure the large body of data analysis research into a common framework.

Dr. Irene Sabadini

Affiliated Scholar with the Institute for Quantum Studies

Interests: mathematical treatment of superoscillations,
algebraic analysis, hypercomplex analysis, spectral theory.

Dr. Daniele Struppa

Chancellor, Affiliated Scholar with the Institute for Quantum Studies

Daniele Struppa, Ph.D., joined Chapman University in 2006 serving as provost and then as chancellor since 2007. He earned his laurea in mathematics from the University of Milan, Italy. He received his doctorate degree in mathematics from the University of Maryland, College Park. He has received several awards and honors including the prestigious Bartolozzi Prize from the Italian Mathematical Union (in 1981), and the Matsumae Medal from the Matsumae International Foundation of Tokyo (1987).

Prior to coming to Chapman University, Dr. Struppa had a distinguished career as a Professor of Mathematics and occupied positions at the University of Milano (Italy), at the Scuola Normale Superiore in Pisa (Italy), at the University of Calabria (Italy) and since 1987, at George Mason University in Virginia. While at George Mason, Dr. Struppa served as director of the Center for the Applications of Mathematics, as chair of the Department of Mathematical Sciences, and as associate dean for graduate studies. In 1997, he was selected dean of the College of Arts and Sciences at George Mason University, a position he held until he joined Chapman University.

He is the author of more than 150 refereed publications, and he is the editor of several volumes. He has edited or co-authored more than eight books, including: Regular Functions of a Quaternionic Variable (Springer, 2013), Advances in Hypercomplex Analysis (Springer, 2013), The Mathematical Legacy of Leon Ehrenpreis (Springer, 2012), Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions (Birkhauser, 2011), Harmonic Analysis, Signal Processing, and Complexity: Festschrift in Honor of the 60th Birthday of Carlos A. Berenstein (Birkhauser, 2005), Analysis of Dirac Systems and Computational Algebra (Birkhauser, 2004), Fundamentals of Algebraic Microlocal Analysis (Marcel Dekker, 1999), and The Fundamental Principle for Systems of Convolution Equations (American Mathematical Society, 1983). While serving as chancellor, Dr. Struppa has continued his scholarly research focusing on Fourier analysis and its applications to a variety of problems including the algebraic analysis of systems of differential equations, signal processing, pattern recognition, and the mathematical foundations of superoscillatory phenomena.