Abhijit Dasgupta at University of Detroit Mercy

2007-2008
Fall		Winter/Spring
Course	Topics	Course	Topics
MTH-415	Number Theory	MTH-142	Calculus II
MTH-427/527	Probability and Statistics	MTH-241	Calculus III
E-530	Advanced Engineering Mathematics	MTH-486	Higher Arithmetic for Teachers

Topology Explained are notes written by Henno Brandsma (Amsterdam) and Abhijit Dasgupta (Detroit) for the Topology Question+Answer Board, part of a broader publication project called Topology Atlas (hosted by York University, Canada).
Ask a Topologist and Ask an Analyst Forum contributions (more than 200 posts, mostly in summer 2005): Google search http://www.google.com/search?q=abhijit+dasgupta+site:at.yorku.ca

Research

Classifying Sets in Topology and Analysis. Alberto Marcone's talk having the same title gives an overview of the subject.
More specifically, my area of work area is primarily Topology, Real Analysis, and Measure Theory in the context of the Borel and Projective hierarchies in Polish spaces. (This is part of a broader area known as Descriptive Set Theory.)

The Riemann Integrable Functions are Π⁰₃-complete in the Lebesgue Integrable Functions, J. Math. Anal. Appl. 332(2007), 700-708. doi:10.1016/j.jmaa.2006.09.080.
Constructing Δ₃⁰ using topologically restrictive countable disjoint unions, Real Analysis Exchange, 31(2), 2005/2006, 547-552.
A Universal coanalytic linear ordering, Proc. Amer. Math. Soc., 129(12), December 2001, 3715-9.
Borel complexity of the space of probability measures, Proc. Amer. Math. Soc., 129(8), August 2001, 2441-3.
(with R. Cheng and others) When does f^-1 = f ?, Amer. Math. Monthly, 105(8), October 1998, 704-717.
Boolean operations, Borel sets, and Hausdorff's question, J. Symbolic Logic, 61(4), December 1996, 1287-1304.

Countable metric spaces without isolated points, in ``Topology Explained,'' June 2005 (Published by Topology Atlas, York University, Canada). This paper is online at http://at.yorku.ca/p/a/c/a/25.htm.
Limit points of discrete sets in metric spaces, in ``Topology Explained,'' July 2005 (Published by Topology Atlas, York University, Canada). This paper is online at http://at.yorku.ca/p/a/c/a/26.htm.
Ask a Topologist and Ask an Analyst Forum contributions (more than 200 posts, mostly in summer 2005): Use the Google search http://www.google.com/search?q=abhijit+dasgupta+site:at.yorku.ca

Other

A perl program to convert Bangla unicode into the special transliterated ascii format suitable for bangtex. See the following URL for details:
http://dasgupta.atspace.org/uni2bangtex/index.html