Dr. Papiya Bhattacharjee

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, Florida Atlantic University. 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.  http://dx.doi.org/10.1090/conm/609/12153. (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.  https://doi.org/10.1007/s11083-018-9472-5  (2018)

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