Â鶹ŮÀÉ

Education:

• Ph.D. in Mathematics. Bowling Green State University, Bowling Green, OH. 2009
• M.Sc. in Pure Mathematics. University of Calcutta, Kolkata, India. 2005
• B.Sc. in Mathematics. University of Calcutta, Kolkata, India. 2003

Positions:

• Instructor and Graduate Faculty, Â鶹ŮÀÉ. 2018 - present
• Associate (tenured) Professor of Mathematics, Penn State Behrend. 2009 - 2018

Research Interests:

Ordered Algebraic Structures; Theories of Frames (Pointfree Topology), Lattice-Ordered Groups, and Commutative Rings; Rings of Continuous Functions; Point-Set Topology

Publications:

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

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

3. Bhattacharjee, P. "Two Spaces of Minimal Primes", Journal of Algebra and Its Applications, 11(1), 1250014, 18 pp. (2012)

4. Bhattacharjee, P., Knox, M. L., & McGovern, W. W. "p-Embeddings", Topology and Its Applications, 160(13), 1566-1576. (2013)

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

6. Bhattacharjee, P., Knox, M. L., & McGovern, W. W. "p-Extensions", AMS Contemporary Mathematics, 609, 19-32.. (2014)

7. Bhattacharjee, P., Knox, M. L., & McGovern, W. W. "The Classical Ring of Quotients of C_c(X)", Applied General Topology, 15(2), 147-154. DOI:10.4995/agt.2014.3181. (2014)

8. Bhattacharjee, P., & Knox, M. L. "pg-Extensions and p-Extensions with Applications to C(X)", Journal of Algebra and Its Applications, 14(5), 18 pp. DOI: 10.1142/S0219498815500681. (2015)

9. Bhattacharjee, P., Moshier, A., & Walters-Wayland, J. "Rigid Frame Maps and Booleanization", Topology and Its Applications, 194, 400-408. (2015)

10. Banaschewski, B., Bhattacharjee, P., & Walters-Wayland, J. "On the archimedean kernels of function rings in pointfree topology", Topology and Its Applications, 200, 44-50. (2016)

11. Bhattacharjee, P., & Dube, T. "On the sobriety of the inverse topology", Algebra Universalis, no. 4, 445-454. (2016)

12. Bhattacharjee, P., & Drees, K. M. "Filters of Coz(X)", Categories and General Algebraic Structures with Applications, vol. 7, 107-123. (2017)

13. Bhattacharjee, P., & McGovern, W. W. "Maximal d-Subgroups and Ultrafilters", Rendiconti del Circolo Matematico di Palermo, Series 2, 20 pp. DOI: 10.1007/s12215-017-0323-9. (2017)

14. Bhattacharjee, P., & McGovern, W. W. "Lamron l-Groups", Quaestiones Mathematicae, 41(1), 81-98. (2018)

15. Bhattacharjee, P. "Maximal d-Elements of an Algebraic Frame", ORDER, 16 pp. (2018)

16. Bhattacharjee, P. & Naidoo, I. "Another Note on Precompact Uniform Frames", Topology and Its Applications, 275 (2020) 107023.