Philip Hirschhorn
Professor of Mathematics
An algebraic topologist who works on homotopy theory in model categories, localizations of model category structures, and homotopy limit and colimit functors.
Professor Hirschhorn is an algebraic topologist who works on homotopy theory in model categories, localizations of model category structures, and homotopy limit and colimit functors.
Education
- B.S., CUNY Brooklyn College
- Ph.D., Massachusetts Institute of Technology
Current and upcoming courses
Multivariable Calculus
MATH205
Most real-world systems that one may want to model, whether in the natural or in the social sciences, have many interdependent parameters. To apply calculus to these systems, we need to extend the ideas and techniques of single-variable Calculus to functions of more than one variable. Topics include vectors, matrices, determinants, polar, cylindrical, and spherical coordinates, curves, partial derivatives, gradients and directional derivatives, Lagrange multipliers, multiple integrals, vector calculus: line integrals, surface integrals, divergence, curl, Green's Theorem, Divergence Theorem, and Stokes’ Theorem.
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Topology
MATH307
This course covers some basic notions of point-set topology, such as topological spaces, metric spaces, connectedness and compactness, Heine-Borel Theorem, quotient spaces, topological groups, groups acting on spaces, homotopy equivalences, separation axioms, Euler characteristic, and classification of surfaces. Additional topics include the study of the fundamental group (time permitting).