Dr. Mubeena T.

Research

Research Areas

• Geometric Group Theory
• Topology
• Group Theory

Ph.D. Thesis

Twisted Conjugacy Classes in Lattices in Semisimple Lie Groups

Professional Experience

Education & Fellowships

• Ph.D. in Mathematics, The Institute of Mathematical Sciences, Chennai, 2013
• M.Sc. in Mathematics, Department of Mathematics, University of Calicut, 2006
• B.Sc. in Mathematics, Sullamussalam Science College, Areacode, affiliated to the University of Calicut, 2004
• CSIR-JRF, NET
• NBHM Doctoral Scholarship, 2007

Projects & Grants

Publications

1. T. Mubeena and K. Ali Akbar, “Homeomorphisms of the Cantor Set and Coherent Multivalued Functions: An Expository Equivalence”, 2026, Preprint.
2. Ameena, P. P., & Mubeena, T. (2026). “Twisted reversibility in SL(2, ℤ) and PSL(2, ℤ).”, Communications in Algebra, 1–13. https://doi.org/10.1080/00927872.2026.2703144
3. T. Mubeena, “Reidemeister Number in Lefschetz Fixed Point Theory”, 3C TIC. Cuadernos de Desarrollo Aplicados a las TIC, 11(2), 61–70, 2022.
4. K. Ali Akbar and T. Mubeena, “On the Group of Homeomorphisms on R: A Revisit”, Applied General Topology, Vol. 22, No. 2, pp. 269–280.
5. K. Ali Akbar and T. Mubeena, “Sets of Eventual Periods of Dynamical Systems”, Topology Proceedings, Vol. 60 (2022), pp. 245–259.
6. K. Ali Akbar and T. Mubeena, “Existence of Compositional Square Roots of Circle Maps”, The Australian Journal of Mathematical Analysis and Applications, Vol. 18, Issue 2, Article 16, 2021.
7. K. Ali Akbar and T. Mubeena, “Conjugacy Classes of Bijective Real Cubic Polynomials”, The Mathematics Student, Vol. 90, Nos. 3–4 (2021), pp. 43–48.
8. K. Ali Akbar and T. Mubeena, “Periodic Points of n-dimensional Toral Automorphisms”, Springer Proceedings in Mathematics & Statistics, Vol. 350, pp. 181–185, 2021.
9. T. Mubeena and P. Sankaran, “Twisted Conjugacy and Quasi-isometric Rigidity of Irreducible Lattices in Semisimple Lie Groups”, Indian Journal of Pure and Applied Mathematics, Vol. 50, Issue 2, pp. 403–412, 2019.
10. T. Mubeena and P. Sankaran, “Twisted Conjugacy Classes in Lattices in Semisimple Lie Groups”, Transformation Groups, Vol. 19, Issue 1, pp. 159–169, 2014.

Additional publication information may be accessed through Google Scholar, Scopus and Publons.

Teaching

Currently Teaching

• Topology — Semester II, 2026
• Multivariable Calculus and Geometry — Semester IV, 2026

Courses Taught

Functional Analysis · Operator Theory · Algebra I & II · Linear Algebra · Advanced Real Analysis · Complex Analysis · Graph Theory · Differential Geometry · Partial Differential Equations · Algebraic Topology · Commutative Algebra

Research Group

Academic & Administrative Service

Invited Talks

• Two talks on “Beauty of Mathematical Analysis and Abstract Algebra”, Farook College, 15 July 2025.
• “Earth Pulsates to Math”, Sullamussalam Science College, Areacode, 17 January 2025.
• “Twisted Conjugacy in Groups”, International Conference on Semigroups, Operators and Automata, University of Kerala, 22–23 May 2024.
• “Derivative in Several Variables”, Refresher Course for teachers from Colleges/Universities in India, Academic Staff College, Kannur University, 15 December 2023.
• “Spaces from the Unit Square”, Refresher Course for teachers from Colleges/Universities in India, Academic Staff College, University of Calicut, 28 November 2021.
• Two talks on “The Model Spaces of Riemannian Geometry”, 11th Refresher Course in Mathematical Sciences, UGC-HRDC, University of Calicut, 17 December 2019.
• “Twisted Conjugacy and Quasi-isometric Rigidity of Irreducible Lattices in Semisimple Lie Groups”, Conference on Topology, Geometry and Related Topics, The Institute of Mathematical Sciences, Chennai, 28 May 2019.
• Two talks on “Plane Geometries”, Government College, Malayinkeezhu, Thiruvananthapuram, 13 December 2019.
• Three talks on “Surface Theory”, National Workshop on Glimpses of Differential Geometry, Central University of Kerala, 31 January–1 February 2019.
• Two talks on “Separation and Countability Axioms, Connectedness and Compactness”, National Seminar on Topology and its Applications, Government College Mokeri, 2 November 2018.
• “Hyperbolic Groups”, National Seminar on Topology and its Applications, University of Calicut, 23–25 March 2017.
• Talk on the R∞-property of Groups, National Seminar, Government Victoria College, Palakkad, 30 October 2015.
• “R∞-property of Lattices in Semisimple Lie Groups — A Survey”, International Workshop on Topology and Groups, Goa University, 19 October 2015.
• “Twisted Conjugacy Classes in Lattices in Semisimple Lie Groups”, 28th Annual Conference of RMS, Reva Institute of Technology and Management, Bangalore, June 2013.