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Author: Purbita Jana

< Regular Faculty

Dr. Purbita Jana

Dr. Purbita Jana

Assistant Professor and M. Sc. Data Science Program Chair

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  • Profile
  • Publications
  • Teaching
  • Current Research

Curriculum Vitae




Published Papers in Journal

  1.   P. Jana, Asymptotic behavior of the solutions of operators that are sum of pseudo p-Laplace type, Opuscula Mathematica, 45(4), 2025, pp. 509--521.

  2. A. Adimurthi, P. Jana and P. Roy, Boundary fractional Hardy’s inequality in dimension one: the critical case, Communications in Contemporary Mathematics (accepted).

  3. P. Jana, Generalised Geometric Logic, Categories and General Algebraic Structures with Applications, 22(1), 2025, pp. 43--58.

  4. P. Jana, Anisotropic p-Laplace equations on long cylindrical domain, Opuscula Mathematica, 44(2), 2024, pp. 249-265.

  5. P. Jana and M. K. Chakraborty, Categorical Accommodation of Graded Fuzzy Topological System, Graded Frame and Fuzzy Topological Space with Graded inclusion, Journal of Applied Non-Classical Logic, 32(1), 2022, pp. 11--27. 

  6. A. Di Nola, R. Grigolia and P. Jana, Heyting Algebra and Gödel Algebra vs. various Topological Systems and Esakia Space: a Category Theoretic Study, Azerbijan Journal of Mathematics, 11(1), 2021, pp.120--137.

  7. P. Jana and M. K. Chakraborty, Fuzzy α-cut and related mathematical structures, Soft Computing, 25(1), 2021, pp. 207--213.

  8. M. K. Chakraborty and P. Jana, Fuzzy topology via fuzzy geometric logic with graded consequence, International Journal of Approximate Reasoning, 80, 2017, pp. 334--347. 

  9. P. Jana and M. K. Chakraborty, Categorical relationships of fuzzy topological systems with fuzzy topological spaces and underlying algebras,  Ann. of Fuzzy Math. and Inform., 10(1), 2015, pp. 123--137. 

  10. P. Jana and M. K. Chakraborty, Categorical relationships of fuzzy topological systems with fuzzy topological spaces and underlying algebras,  Ann. of Fuzzy Math. and Inform., 8(5), 2014, pp. 705--727. 

  11. P. Jana, A Study of the Interrelation between Fuzzy Topological Systems and Logics, Logic Thesis Abstracts, Bulletin of Symbolic Logic, 25(4), 2019, pp. 453-454.

Published Papers in Book

  1. P. Jana, Fuzzy α-Cut in Rough Sets and Its Application, In: Peters, J.F., Skowron, A., Bhaumik, R.N., Ramanna, S. (eds) Transactions on Rough Sets XXIII, Lecture Notes in Computer Science, Springer, Berlin, Heidelberg, 13610, 2022, pp. 12--22.  

  2. P. Jana and M.K. Chakraborty, On Categorical Relationship among various Fuzzy Topological Systems, Fuzzy Topological Spaces and related Algebraic Structures, Proceedings of the 13th Asian Logic Conference, World Scientific, 2015, pp. 124--135.

Published Papers in Peer Reviewed Conference Proceedings

  1. P. Jana, O. Koshelevab and V. Kreinovichcand, Fuzzy Mathematics under Non-Minimal “And”-Operations (t-Norms): Equivalence leads to Metric, Order Leads to Kinematic Metric, Topology Leads to Area or Volume, The 20th World Congress of the International Fuzzy Systems Association (IFSA 2023), pp. 472--477.

  2. N. Hwang, P. Jana and R. Parikh, Ethical agents, 34th Stony Brook International Conference on Game Theory, 2023.

  3. P. Jana, Fuzzy α-cut in Probabilistic Rough Set Theory, In: Prof. Rabi Nanda Bhaumik (Ed.), Proceedings of 96th Birthday of Prof. Z. I. Pawlak & 41st year of Rough Set, 2022, pp. 85--90.

Abstracts in Peer Reviewed Conference

  1. P. Jana, Fuzzy α-cut in rough sets, An International Conference on Rough Sets - Generalizations & Applications, November 11-13, 2021.

  2. P. Jana, L-Topology via Generalised Geometric Logic, In: Sujata Ghosh and R. Ramanujam (Eds.), ICLA 2021 Proceedings 9th Indian Conference on Logic and its Applications March 4-7, 2021, pp. 67--72.

  3. P. Jana and M. K. Chakraborty, Fuzzy topology via fuzzy geometric logic with graded consequence, In: B. De Baets, R. Mesiar, S. Saminger-Platz and E. P. Klement (Eds.), Abstracts of the 36th Linz seminar on fuzzy set theory, Johannes Kepler Universitat, Linz, 2016, pp.46--50.

  1. Madras School of Economics: January 2025 to May 2025, Introduction to AI.

  2. Madras School of Economics: February 2025 to April 2025, Topics in Data Science.

  3. Madras School of Economics: August 2024 to October 2024, Quantitative Method.

  4. Madras School of Economics: August 2024 to November 2024, Introduction to Data Science.

  5. Madras School of Economics: August 2024 to November 2024, Statistics with R.

  6. Madras School of Economics: August 2024 to November 2024, Mathematics for Data Science.

  7. Madras School of Economics: February 2024 to April 2024, Projects in Python.

  8. Madras School of Economics: February 2024 to April 2024, Topics in Data Science.

  9. Madras School of Economics: January 2024 to May 2024, Introduction to Game Theory.

  10. Madras School of Economics: August 2023 to October 2023, Quantitative Method.

  11. ISLA 2022 (Part-I): May, 2022, Courses Taken: Topology and First Order Logic.

  12. Indian Institute of Technology, Kanpur (IITK), Tutor: December, 2021, Courses Taken: MTH101: Mathematics I (Analysis).

  13. Logic Webinar @ IITK, Instructor: August, 2020 to November, 2020, Short Course on Universal Algebra. Feedback for the course is available here.

  14. Indian Institute of Technology, Kanpur (IITK), Tutor:  March, 2021 Courses Taken: MTH102: Linear Algebra and ODE. Feedback for the course is available here.

  15. Indian Institute of Technology, Kanpur (IITK), Tutor: February, 2021, Courses Taken: MTH101: Mathematics I (Analysis).

  16. Jadavpur University, Guest Lecturer: September, 2016 to March 2017, Courses Taken: Basics of Abstract Algebra, Lattice Theory.

  17. Lady Brabourne College, Guest Lecturer: September, 2016 to July, 2018, Courses Taken: Soft Computing (Fuzzy set theory and fuzzy topology).

  18. Presidency University, Guest Lecturer: January, 2014 to July, 2015, Courses Taken: Mathematical Logic, Ordered Algebraic Systems, Linear Algebra, Axiomatic Set Theory.

  19. Supreme Knowledge Foundation Group of Institution, Assistant Professor: July, 2011 to May, 2012, Courses Taken: Infinite Series, Calculus of Functions of One Variable,  Vector Calculus, Graph Theory, Numerical Methods and Programming.

  20. J.D. Birla Institute, Assistant Professor: March, 2011 to July, 2011, Courses Taken: Business Mathematics (Set Theory, Probability Theory, Statistics).

Mathematical logic, Partial Differential Equations, Artificial intelligence, Order algebraic structure, Model theory, Category theory, Topology, Frame theory, Topos theory, MV algebra, Analysis, Game theory, Topological Data Analysis.