Diego Benardete

Associate Professor

Mathematics

College of Arts and Sciences
860.768.5167 D 217
Education

PhD, City University of New York

MA, City University of New York

BA, Cornell University


Diego Benardete's research is on pure and applied aspects of dynamical systems and differential equations.

Teaching

I follow a four-fold approach that includes symbolic, verbal, graphical, and numerical methods. Step-by-step algorithms executed by hand are also important. In Fall 2019 and Fall 2020, I teach a capstone course in mathematics (M495) that will be required of seniors in the bachelor's programs. The course will emphasize guided independent collaborative research with oral and written presentations including critical reflection on the merits of different approaches to mathematical problems. The topic of the course will be the differential geometry of surfaces approached computationally with a suite of MATLAB computer software.

Courses Taught
  • M 110: Modeling With Elementary Functions
  • M 220: Linear Algebra
  • M 240: Multivariable Calculus
  • M 242: Differential Equations
  • M 310: History of Mathematics
  • M246: Applied Mathematics for Civil Engineering
  • M 344: Advanced Engineering Mathematics
  • M 470: Topology

Research

My research is on pure and applied aspects of dynamical systems and differential equations. My earlier work related the qualitative behavior of such systems to the topology (qualitative geometry) of the state spaces of the systems. My current work is on pure and applied aspects of periodically forced one-dimensional differential equations. I am studying a periodically forced one-dimensional model of a single neuron or a pool of neurons.

Service

University Service
Served on a committee of the College of Arts and Sciences that studied the role of philosophy at the College.

Departmental Service
Coordinate the procedures that the Department of Mathematics uses to assess the effectiveness of its programs.

About Me

Since high-school, I have been an amateur (i.e., lover) of philosophy understood as the core of a general inquiry into being, knowledge, self, consciousness, ethics, theology, literature, and science. However, too often, busy days leave little time for such thoughts. Also, since high-school, from time to time, I pursue a contemplative, mindful, and quiescent approach to life. These days a walk through Hartford’s lovely Elizabeth Park is the occasion of such contemplation. My favorite poets are William Carlos Williams, Wallace Stevens, and Emily Dickinson. Each of them, in different ways, can recall me to myself and my setting.