Homepage of Professor Mike Field

Professor Mike Field's research is mainly in dynamical systems and includes statistical properties (ergodic theory and mixing), network dynamics with special reference to asynchronous networks, adaptation, event driven dynamics and non-smooth dynamics, and the geometric theory of dynamical systems with symmetry and the mechanisms whereby symmetry can lead to complex dynamics in low dimensional systems. Areas of application include spiking neuronal networks, plasticity and visualization. Currently, he is working on theoretical problems in machine learning related to non-convex optimization and gradient descent (joint work with Yossi Arjevani).

Recent projects and awards

Dynamics of Asynchronous Networks, Adaptation and Visualization
NSF award DMS-1265253 held at William Marsh Rice University, Houston, Texas

Postdoctoral Fellows supported by the grant:   Chris Bick (2013-2014)   Anushaya Mohapatra (2014)

Asynchronous Networks

Marie Curie Fellowship, Imperial College (2014-2016).

Mathematics and the arts, Education

Mathematics education in the community and schools.

Member of the Executive committee and Board of Directors of ESMA European Society of Mathematics and Art.

On Fulbright Specialist Roster (from 2013).

e-mail: mikefield@gmail.com (preferred) or mjfield@ucsb.edu

Professor Mike Field
Department of Mechanical Engineering
UC Santa Barbara
Santa Barbara, CA 93106

Images shown on this web site are © Michael Field. Colour pictures are mainly of locations within the EU (including Greece, Slovenia, Italy, Portugal, France, Germany, Spain, Scotland and Hungary).
The picture is of The Iron Bridge which opened in 1781 and was the first major bridge to be constructed of cast iron. The bridge operated as a toll bridge until 1950 (the old schedule of toll fees, especially the N.B., is noteworthy). The bridge is now part of the UNESCO Ironbridge Gorge World Heritage Site.