Brief Profile
I am a pure mathematician and my broad area of research is Topological Dynamics.
Education:
Ph.D (2005-2010)
Title of the thesis : ‘Some results in Linear, Symbolic, and General
Topological Dynamics’.
Thesis advisor : Prof. V. Kannan.
University : University of Hyderabad
B.Sc (1999-2002) & M.Sc (2002-2004)
Major : Mathematics
College : Goverment College, Chittur, Palakkad, Kerala, India
University : University of Calicut, Calicut, Kerala, India.
Career history:
Assistant Professor [From 16/01/2007 To 31/03/2007] at Government College Chittur.
Assistant Professor [From 01/07/2010 To 20/12/2013] at Government College Chittur.
Assistant Professor [From 23/12/2013 To 30/06/2022] at Central University of Kerala.
Associate Professor [From 01/07/2022 To 30/06/2025] at Central University of Kerala.
Professor [From 01/07/2025 To till date] at Central University of Kerala.
Current Position:
Professor [14]
Recent and Major Publications
- Ashwani K B and Ali Akbar K,"Indecomposability of group actions",Topology and its applications,(to appear) (2025) Published by Elsevier
- V P Padmapriya and K Ali Akbar,"Dense set of large periodic points and chaotic group actions",Matematicki Vesnik,Vol. 77 Issue 3, Pages 221-226, 2025. Published by the Mathematical Society of Serbia
- Padmapriya V.P and K. Ali Akbar,"A characterization of chaotic group actions",The Mathematics Student,93, 1-2, 67-70, Published by Indian Mathematical Society.
- K. Ali Akbar and T. Mubeena,"On the group of homeomorphisms on R: A revisit",Applied General Topology,Vol. 23, no. 2 (2022), Pages 269-280. Published by Universitat Politècnica de València, Spain.
- K. Ali Akbar,"Dynamics of Sofic Shifts",3C Tecnologia,Vol. 11 (2022), no. 2, Pages 13-23 published by 3Ciencias, Spain.
- K. Ali Akbar and T. Mubeena,"Sets of eventual periods of dynamical systems",Topology Proceedings,Volume 60 (2022), Pages 245–259. Published by Auburn University, U.S.A.
- K. Ali Akbar and T. Mubeena,"Existence of compositional square roots of circle maps",Australian Journal of Mathematical Analysis and Applications,Vol.18, Issue 2, Art. 16, 2021. Published by Austral Internet Publishing.
- K. Ali Akbar and T. Mubeena,"Periodic Points of N-Dimensional Toral Automorphisms",Springer proceedings in Mathematics and Statistics,350 (2021), Pages 181-185.Published by Springer.
- K. Ali Akbar and T. Mubeena,"The conjugacy classes of bijective cubic polynomials",The Mathematics Student,Vol. 90, Nos. 3-4 (2021), Pages: 43–48. Published by Indian Mathematical Society.
- K. Ali Akbar,"The class of simple dynamical systems",Applied General Topology,2020, Vol. 21, no. 2, Pages 215-233. Published by Universitat Politècnica de València, Spain.
- K. Ali Akbar, V. Kannan and I.S. Pillai,"Simple dynamical systems",Applied General Topology,2019, Vol. 20, no. 2, Pages 307-324. Published by Universitat Politècnica de València, Spain.
- K. Ali Akbar and V. Kannan,"Set of Periods of a subshift",Proceedings - Mathematical Sciences,October 2018, 128:63. Published by Indian Academy of Sciences.
- K. Ali Akbar,"Set of periods of endomorphisms on an abelian group",Topology proceedings,February 2013, Vol. 42, Pages 341-347. Published by Auburn University, U.S.A.
- K. Ali Akbar, V. Kannan, I.S. Pillai, B. Sankararao.,"The set of periods of periodic points of a toral automorphism",Topology proceedings,2011, Volume 37, Pages 219-232. Published by Auburn University, U.S.A.
- K. Ali Akbar, V. Kannan, I.S. Pillai, B. Sankararao.,"The set of periodic points of a toral automorphism",Journal of Mathematical Analysis and Applications,2010 Volume 366, Pages 367-371. Published by Elsevier.
- K. Ali Akbar, V.Kannan, Sharan Gopal, P. Chiranjeevi,"The set of periods of periodic points of a linear operator",Linear algebra and its applications,2009, Volume 431 Pages 241-246. Published by Elsevier.
Research Projects Undertaken
A study on topological dynamical systems with emphasis on group dynamics
SERB-DST
Study on topological dynamical systems with emphasis on linear, and symbolic dynamics
UGC
Miscellaneous
| Membership/Fellowship of other institutions/professionals societies : |
1. Qualified UGC-JRF in the Joint CSIR-UGC Test for Junior Research Fellowship and Eligibility for Lectureship (December-2004) conducted (jointly) by Council of Scientific and Industrial Research (CSIR) and University Grants Commission (UGC), India.
2. SERB Financial Assistance for participating Advanced School and Work- shop in Real and Complex Dynamics 20-31 May 2013 in ICTP, Italy.
3. Life Member of Government College Chittur Mathematics Alumni Association from 2005 onwards, and Secretary from 2010 onwards.
4. Life Member of Indian Mathematical Society from 2009 onwards.
5. Member of AMS from 2016 onwards.
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| Student related co-curricular, extension and field based activities and counseling. |
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| Contribution to corporate sector-management of the department and institution through participation in academic and administration,committees and responsibilities.
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| Other activities/Responsibilities : |
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| Any other relevant information, if not given above : |
Invited Talks (latest):1. Dynamics of Sofic Shifts- as a part of National Seminar on Recent Trends in Topology, University of Calicut on 07-09 February, 2019. 2. A flavour towards topological dynamics- as a part of international seminar on ’Topology and fractals’, Department of mathematics, Mar Athanasius(Autonomous) College, Kothamangalam, Eranakulum, 14- 15 December, 2018. 3. Basics in Topology- as part of National Workshop on ’Topology and its applications’, Mokheri College, Calicut, Kerala, 1-2 November, 2018. 4. Zeros of Polynomials- as a part of Mathematics association inau- gural talk, Peoples Co-operative Arts and Science College-Munnad, Kasaragod, 27 February, 2018. 5. Transitive linear maps- as a part of of the national seminar on ’Topology and its applications’ (NSTA-2018), SB College Changanacherry, Kottayam, Kerala, 7-9 February, 2018. 6. Minimal Sets and Recurrent Points- in the national seminar on ’Topology and its applications’, University of Calicut, Kerala,23-25March.
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Teaching & Research Guidance
- Abstract Algebra:Post Graduate
- Advanced Algebra:Post Graduate
- Real Analysis:Post Graduate
- Multivariable Calculus:Post Graduate
- Complex Analysis:Post Graduate
- Measure Theory:Post Graduate
- Basic Topology:Post Graduate
- Advanced Topology:Post Graduate
- Algebraic Topology:Post Graduate
- Topological Dynamics:Post Graduate
- Topological Groups:Post Graduate
- Differential Geometry:Post Graduate
- Discrete Mathematics:Post Graduate
- Ordinary Differential Equations:Post Graduate
- Fluid Dynamics:Post Graduate
- Set Theory:Under Graduate
- Coordinate Geometry:Under Graduate
- Coordinate Geometry:Under Graduate
- Linear Algebra:Under Graduate
- Number Theory:Under Graduate
- Calculus:Under Graduate
- Differential Equations:Under Graduate
- Functional Analysis:Post Graduate