Assistant Professor (Stage III)
Department of Mathematics
University of Calicut-673635
Email: mubeenatc(at)uoc(dot)ac(dot)in
My research interests lie in geometric group theory and topology. I completed my Ph.D. from the Institute of Mathematical Sciences, Chennai, and have been actively engaged in teaching, research, and mentoring.
Research Areas
Geometric Group Theory
Topology
Group Theory
Professional Experience
- 2021–Present – University of Calicut
- 2015–2021 – Govt. College Kasaragod
- 2013–2015 – Govt. Polytechnic College, Palakkad
- 2013 – GEC Sreekrishnapuram
- 2012 – Govt. Polytechnic College, Perinthalmanna
Education
- 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 University of Calicut), 2004
- CSIR-JRF, NET
- NBHM Doctroal Scholarship (2007)
Ph.D Thesis: Twisted Conjugacy Classes in Lattices in Semisimple Lie Groups
Projects & Grants
- ANRF-SERB-MATRICS (2024–2027, Ongoing) – ₹6,60,000
- Seed Money Project (2021–2023, Completed) – ₹1,95,000
Publications
- T. Mubeena, K Ali Akbar, "Homeomorphisms of the Cantor Set and Coherent Multivalued Functions: An Expository Equivalence", 2026, Preprint.
- T. Mubeena, P P Ameena, "Twisted reversibility in modular groups", 2025, Preprint.
- T. Mubeena, "Reidemeister Number in Lefschetz Fixed Point Theory", 3C TIC. Caudernos de desarrollo applicados a las TIC, 11(2), 61-70, 2022.
- 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.
- Ali Akbar K. and Mubeena T., "Sets of eventual periods of dynamical systems", Topology Proceedings,Volume 60 (2022), Pages 245–259.
- 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, Art. 16, 2021.
- K. Ali Akbar, T. Mubeena, "Conjugacy Classes of Bijective Real Cubic Polynomials", The Mathematics Student, Vol. 90, Nos. 3-4 (2021), Pages: 43–48.
- K. Ali Akbar, T. Mubeena, "Periodic Points of n-dimensional Toral Automorphisms", Springer Proceedings in Mathematics & Statistics 350, 181-185, 2021.
- T. Mubeena, P. Sankaran, "Twisted Conjugacy and Quasi-isometric Rigidity of Irreducible Lattices in Semisimple Lie Groups", Indian Journal of Pure and Applied Mathematics, June 2019, Volume 50, Issue 2, pp 403-412.
- T. Mubeena, P. Sankaran, "Twisted Conjugacy Classes in Lattices in Semisimple Lie Groups", Transformation Groups, March 2014, Volume 19, Issue 1, pp 159- 169.
- T. Mubeena, P. Sankaran, "Twisted Conjugacy Classes in Abelian Extensions of Certain Linear Groups", Canadian Mathematical Bulletin 57(2014), no. 1, 132-140.
Currently Teaching
- Topology (2026, Semester II)
- 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, PDE, Algebraic Topology, Commutative Algebra.
Research Group
- Ameena P P
- Nivisha Chandran V
Administrative positions
- Chairperson, Board of Studies, FYUGP, Mathematics, University of Calicut.
- PG Board of Studies member at Kannur university (2023- ),
- UG Board of Studies member at Kannur university (2018-23),
- Secretary of Alumni Association of the Department of Mathematics, University of Calicut.
Invited Talks
- Two talks on "Beauty of Mathematical Analysis and Abstract Algebra"- Farook College, 15th Jyly 2025.
- Earth Pulsates to Math- Sullamussalam Science College, Areacode, Jan-17, 2025.
- One talk on ”Twisted Conjugacy in Groups” at the International Conference on Semigroups, Operators and Automata at University of Kerala during May 22-23, 2024.
- One talk on ‘Derivative in several variables’ in the Refresher course for teachers from Colleges/Universities in India, Academic staff college, Kannur University, 15 December 2023.
- One talk on ‘Spaces from the unit square’ in the Refresher course for teachers from colleges/universities in India, Academic staff college, University of Calicut, Nov. 28, 2021.
- Two talks on ‘The Model Spaces of Riemannian Geometry’, in 11th Refresher Course in Mathematical Sciences for teachers in colleges/universities, from 09- 21, December 2019, at UGC-HRDC, Calicut University Campus, on December 17, 2019.
- One talk on ‘Twisted Conjugacy and Quasi-isometric Rigidity of irreducible lattices in Semisimple Lie groups’, on 28 May 2019 in the Conference on Topology, Geometry and Related Topics, The Institute of Mathematical Sciences, Chennai.
- Two talks on ‘Plane Geometries’, on Dec 13, 2019, Govt. College, Malayinkeezhu, Trivandrum.
- Three talks on ‘Surface Theory’ in the National Workshop on Glimpses of Differential Geometry, on Jan. 31 and Feb. 1, 2019. at Central University of Kerala.
- Two talks on ‘Separation and countability Axioms, Connectedness and Compactness’ in the National Seminar on Topology and its Applications at Govt. College Mokeri on Nov. 2, 2018.
- One talk on ‘Hyperbolic Groups’ in the National Seminar on Topology and Its Applications’ at University of Calicut, During 23-25 March 2017.
- Talk on R∞-property of groups at a national seminar on 30th October 2015 held at Govt. Victoria college Palakkad, Kerala.
- One Talk in the International workshop on Topology and Groups on ”R∞- property of Lattices in semisimple Lie groups- a survey” at Goa University on 19th 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.