J. D. Mireles James

Department of Mathematics
Rutgers University
Hill Center for the Mathematical Sciences
110 Frelinghuysen Rd.,
Piscataway, NJ 08854-8019, USA

Office: Hill Center 542
and Heldrich Science Building (room TBA)
Fax: 732-445-5530
E-mail: jmireles[at]math.rutgers.edu

Office Hours: (Spring 2012)
TBA.
You can click here for my CV.

Research

My research interests include Topological Methods in Dynamical Systems,
Area and volume Preserving Dynamics,
Rigorious Numerical Computation of Connecting Dynamics,
Computational Morse and Conley Theory,
Set-Oriented and Quasi-Analytic Numerical Methods.

Ph.D. Thesis: Reliable Computation of Invariant Dynamics in Area and Volume Preserving Discrete Dynamical Systems .
Ph.D. Advisor: Rafael de Llave .
Postdoctorial Supervisor: Konstantin Mischaikow .

Some notes on Celestial Mechanics and Dynamical Systems .

Teaching

Current Courses: This semester (Spring 2012) I am teaching

M311: Advanced Calculus I-- The course page link is here.





Past Courses Taught at Rutgers University:
(Fall 2011) M151: Calculus I for the Mathematical and Physical Sciences (Sections 23, 24, and 25)-- (Course Page).
(Fall 2011) M423: Elementary Partial Differential Equations-- (Course Page).

(Spring 2011) M300: Introduction to Mathematical Reasoning. (Course Page)

(Fall 2010) CALC I MATH/PHYS, sections 13, 14, and 15. (Course Page)





Past Courses Taught (as Instructor of Record) at University of Texas:

Fall 2008: M316K - Foundations of Arithmetic.
Fall 2009: M408L - Integral Calculus.