## Papiya Bhattacharjee, Ph.D.

## Profile

**Education**

B.S., Pure Mathematics, University of Calcutta, Kolkata, India, August 2003

M.S., Pure Mathematics, University of Calcutta, Kolkata, India, July 2005

Ph.D., Pure Mathematics, Bowling Green State University, Bowling Green, OH, August 2009

**Dr. Bhattacharjee Teaching Specialties Include:**

Calculus

Abstract Algebra

Linear Algebra

Pure Analysis

Complex Analysis

Topology

**Research Interests**

Ordered Algebraic Structure

Lattice Theory

Frame Theory

Topology

**Funded Projects and Grants**

Organize international mathematics conference, “OAL13: Conference on Frames and Lattice-Ordered Groups,” Penn State Erie, The Behrend College internal grant, $6,250. 2012-2013.

Organize international mathematics conference, “OAL13: Conference on Frames and Lattice-Ordered Groups,” The Consortium for Order in Algebra and Logic, $3,000. 2012-2013.

Attend “OSU-Denison Conference in Columbus, OH.” Association for Women in Mathematics (ASM) Travel Grant for Women Researchers supported by the National Science Foundation, $916.50. April 2012.

Organize collaboration of experts in the field of ordered algebraic structures. Research Incentive Grant Program for Early Career Faculty, Penn State Erie, The Behrend College, $2,500. 2010-2011.

**Articles Published in Refereed Journals**

P. Bhattacharjee, (Author) and T. Dube. "Sobriety of Inverse Topology". In preparation.

B. Banaschewski (Author), P. Bhattacharjee (Co-Author), and J. Walters-Wayland. "On the Archimedean Kernels of Function Rings in Pointfree Topology". In preparation.

P. Bhattacharjee. "Distributive Join Semilattices". In preparation.

P. Bhattacharjee, (Author), and M. Knox. "*pg*-Extensions and *p*-Extensions with Applications to C(X)". *Journal of Algebra and Its Applications*, Submitted.

P. Bhattacharjee, (Author), M. Knox, and W. McGovern. "The Classical Ring of Quotients of C_{c}(X)." *Applied General Topology*, In Press.

P. Bhattacharjee, (Author), M. Knox, and W. McGovern. "*p*-Extensions." *Contemporary Mathematics. *609 (2014).

P. Bhattacharjee, (Author), W. McGovern. "When Min(A)^{-1} is Hausdorff." *Communications in Algebra.* Vol. 41, 1-10 (2013).

P. Bhattacharjee, (Author), M. Knox, and W. McGovern. "*p*-embeddings." *Topology and Its Applications. *160(13):1566-1576 (2013).

P. Bhattacharjee. "Two Spaces of Minimal Primes." *Journal of Algebra and Its Applications*. Vol. 11, No. 1, 1250014 (18 pp.), (2012).

P. Bhattacharjee, (Author), K. Drees, and W. McGovern. "Extensions of Commutative Rings." *Topology and Its Applications. *158(14):1802-1814 (2011).

P. Bhattacharjee, "Rigid Extensions of Algebraic Frames." *Algebra Universalis. *62(1):133-149 (2009).

P. Bhattacharjee, "Mimimal Prime Element Space of an Algebraic Frame." Thesis (Ph.D) - Bowling Green State University. 111 pp. (2009) ISBN: 978-1109-27789-0.

**Books**

P. Bhattacharjee, (Author), and K. Drees. *Topology for Undergraduates.* In progress.

B. Banaschewski (Author), P. Bhattacharjee, (Co-Author), and J. Walters-Wayland. *Introduction to Frames*. In progress.