Dr. Mubeena T.

Assistant Professorphoto1

Department of Mathematics

University of Calicut

Kerala-673635

Email: mubeenatc(at)uoc(dot)ac(dot)in

Research Interests: 

  • Geometric Group Theory
  • Topology        

Professional Experience:

  • Assistant Professor, Govt. Polytechnic College, Perinthalmanna, Malappuram,  10 Feb. 2012-- 30 March 2012
  • Assistant Professor, Department of Mathemaitcs, Govt. Engineering College, Sreekrishnapuram, Palakkad, 18 March 2013 -- 3 June 2013,
  • Assistant Professor, Govt. Polytechnic College, Palakkad, 4 June 2013- 8 June 2015
  • Assistant Professor, Department of Mathemaitcs, Govt. College Kasaragod, 10 June, 2015-2 Feb, 2021
  • Assistant Professor, Department of Mathematics, University of Calicut, February 2021--present

Education:

  • Ph. D.  in Mathematics, The Institute of Mathematical Sciences, Chennai, 2013.

               Thesis on : Twisted Conjugacy Classes in Lattices in Semisimple Lie Groups

               Supervisor : Prof. Parameswaran Sankaran, The Institute of Mathematical Sciences, Chennai

  • CSIR-JRF, NET.
  • M.Sc. in Mathematics, The Department of Mathematics, University of Calicut, Kerala, India,  2006.
  • B.Sc. in Mathematics,  Sullamussalam Science College, Areacode, Affiliated to University of Calicut, 2004

Projects and Grants:

1) SERB-MATRICS: 2024-2027 (ongoing)

2) SEED MONEY- 2021-2023 (completed)


Selected Publications:

  1. T. Mubeena, "Reidemeister Number in Lefschetz Fixed Point Theory", 3C TIC. Caudernos de desarrollo applicados a las TIC, 11(2), 61-70, 2022.
  2. 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.
  3. Ali Akbar K. and Mubeena T., "Sets of eventual periods of dynamical systems", Topology Proceedings,Volume 60 (2022), Pages 245–259.
  4. 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.
  5. K. Ali Akbar, T. Mubeena,  "Conjugacy Classes of Bijective Real Cubic Polynomials",  The Mathematics Student, Vol. 90, Nos. 3-4 (2021), Pages: 43–48.
  6. K. Ali Akbar, T. Mubeena,  "Periodic Points of n-dimensional Toral Automorphisms",  Springer Proceedings in Mathematics & Statistics 350, 181-185, 2021.
  7. 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.
  8. T. Mubeena, P. Sankaran, "Twisted Conjugacy Classes in Lattices in Semisimple Lie Groups",  Transformation Groups, March 2014, Volume 19, Issue 1, pp 159- 169.
  9. 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: 

  1. Number Theory, 2024 batch (10 July 2024 to -)
  2. PDE & Integral Equations (2023 batch)

Courses Taught:

M.Sc. Courses: 

Multivariable Calculus & Geometry (2021), Algebraic Topology, Category Theory and Modules (MPhil),  Set Theory and Logic (MPhil), Differential Geometry, Topology I & Topology II, Commutative Algebra , Functional Analysis, Operator Theory,  Algebra I & II, Linear Algebra, Advanced Real Analysis, Complex Analysis, Graph Theory 

 B.Sc. Courses:

  • Abstract Algebra, Complex Analysis, Business Mathematics, Numerical Methods, Graph Theory.

Invited Talks:

 

  1.  One invited talk on ”Twisted Conjugacy in Groups” at the International Conference on Semigroups, Operators and Automata at University of Kerala during May 22-23, 2024.

  2. 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.

  3. 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.

  4. 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.

  5. 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.

  6.  Two talks on ‘Plane Geometries’, on Dec 13, 2019, Govt. College, Malayinkeezhu, Trivandrum.

  7. 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.

  8. 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.

  9. One talk on ‘Hyperbolic Groups’ in the National Seminar on Topology and Its Applications’ at University of Calicut, During 23-25 March 2017

  10. Talk on R∞-property of groups at a national seminar on 30th October 2015 held at Govt. Victoria college Palakkad, Kerala.

  11. 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.

  12. Twisted conjugacy classes in Lattices in semisimple Lie groups. 28th Annual conference of RMS, Reva Institute of Technology and Management, Bangalore. June 2013.

  13. Residually finite and Hopfian groups at IMSc, Chennai, 2012.

  14. Twisted conjugacy in lattices in Lie groups- at IMSc, Chennai, 2012.

  15. Reidemeister number in fixed point theory- at IMSc, Chennai, 2011.

  16. CAT(0) spaces and groups-at IMSc, Chennai, 2011.

  17. Twisted conjugacy classes- at IMSc, Chennai, 2011.

  18. Gromov-Hausdorff convergence at IMSc, Chennai, 2009.


Administrative Positions:

  • Head of the Department for 3 years (2018-21) at Government College Kasaragod,
  • Board of Studies (Undergraduate) member at Calicut University (since 2023),
  • Board of Studies member at Kannur university-UG (2018-23),
  • BoS (Post Graduate) member of Kannur University (since 2023),
  • Secretary of Alumni Association at Department of Mathematics, Calicut University.

Contact Us

Department of Mathematics
University of Calicut
Thenhipallam PO
Malappuram - 673635 PIN
04942407428
 
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