“My vision for SRM AP is an inter-disciplinary environment that stimulates active, engaged learning and cutting edge research. We challenge our students to think critically and creatively, communicate clearly, and develop into thoughtful global citizens and leaders. Learning through discovery and interaction is more powerful and enduring than listening passively to lectures. We seek to equip our students with the cognitive tools to adapt to and seize opportunities offered by a rapidly changing world. Most of all, we stand apart with a network of associations with esteemed institutions around the world, so that students make their mark in a connected world.”
2006- 2011, Pro-Vice-Chancellor | University of Hyderabad, Hyderabad.
1985- 2016, Professor | University of Hyderabad, Hyderabad.
2000-2005, Dean | University of Hyderabad.
1978-1984, Reader | University of Hyderabad.
1972-1978, Lecturer/ Reader | Madurai University.
Links between Topology and Category Theory.
Topological Dynamics and Chaos Theory.
Ordinal Invariants in Topology.
Awards & Fellowships
2018 Title “Vidvan-mani”,HayagrivaVidyaPeetam,Chennai (from Governor of Tamilnadu).
2016 Honorary D. Litt. ( “Vachaspati”) from Rashtriya Samskruta Vidya Peet, Tirupati.
2012 Fellow, National Academy of Sciences, Allahabad.
2006 ISCA Srinivasa Ramanujan Award (from the Prime Minister of India).
1985-86 National Lecturer, UGC.
1992-93. President, Indian Mathematical Society.
1995 Fellow, Indian National Science Academy, Delhi.
1994 Fellow, Indian Academy of Sciences, Bangalore.
Title “Jnana-Nidhi” from the Academy of Sanskrit Research, Melukote (from the Chief Minister of Karnataka).
Title “Rahasya-artha-kovida” from Srirangam Srimad Andavan Asramam.
2012 Degree Honoris Causa during “World Sanskrit Conference, Delhi”.
Totadri Iyengar Award for excellence in Mathematics, Chennai.
Fellow, Andhra Pradesh Academy of Sciences.
UGC nominee in the Advisory Committees of (1) Kerala University, Thiruvananthapuram (2) Karnatak University, Dharwad. (3) Madras University. Also UGC nominee in the Governing Board of two autonomous colleges. (Formerly) Chairman, CSIR Advisory committee for Bhatnagar Award in Mathematical Sciences. Chairman, DST Committee for Swarnajayanti Fellowships, etc
Life Member, Indian Mathematical Society.
Life Member, Indian Science Congress Association.
Life Member, Ramanujan Mathematical Society, etc.
Modern Mathematics in Ancient India, Sixteen Samples from Sanskrit sources, Kannan, in the book “Mathematics and Reality”, Proceedings of a Conference at IIT Bhubaneswar, 378-395, (2018) Publ. Bhaktivedanta Institute, Kolkata.
On the existence of compositional square roots, Kannan, Proceedings of a conference at Jadavpur University, 1-5 (2018)
Reflexive cum co- reflexive subcategories in Topology, Math. Annallen, Kannan, 195, 168-174. (1972)
A countable connected Urysohn space containing a dispersion point, Kannan, Proc. Amer. Math. Soc. 35, 289-290. (1972)
Regularity and dispersion in countable spaces, Kannan and M.Rajagopalan, Duke Math. Jour. 39, 729-734. (1972)
An extension that nowhere has the Frechet property, Kannan, Michigan Math. Jour. 20, 225-234(1973)
On Countable locally connected spaces, Kannan and M.Rajagopalan, Colloq. Math. 29, 93-100. (1974)
On Scattered Spaces, Kannan and M.Rajagopalan, Proc. Amer. Math. Soc. 43 , 402-408. (1974)
A note on countable compact spaces, Kannan, Publ. Math. Debrecen 21, 113-114. (1974)
A note on countably generated spaces, Kannan, Archive. Der. Math. 25, 42-43. (1974)
Lattices of Hausdroff compactifications of a locally compact space, Kannan and T.Thrivikraman, Pacific Jour. Math. 57, 441-444. (1975)
"Ordinal Invariants in Topology - I, on two questions of Arhangelskii and Franklin ", Kannan, General Topology and Applications 5, 269-296. (1975)
Coreflective subcategories in Topology, (Summary of Doctoral Thesis), Kannan, Madurai University Journal, 5, 93-96. (1976)
Constructions and Applications of Rigid Spaces - I, Kannan and M.Rajagopalan, Advances in Math. 29, 89-130. (1978)
Periodic Point Property, Kannan and P.V.S.P.Saradhi, Proc. of A.P. Academy of Sciences, Vol. 8, No. 3, 2004
Some simple conditions implying topological transitivity for internal maps", Kannan, Anima Nagar and K. Srinivas, "Aequationes Mathematicae, 67", 2004
Polynomials hardly commuting with increasing bijections, Kannan, B.Sankara Rao, I.Subramania Pillai and S.Niketa Salvi, Semigroup Forum, 76(i):124-132, ", 2008
The Set of Periods of Periodic Points of a Linear Operator, Kannan , K.Ali Akbar, Sharan Gopal and P.Chiranjeevi, Linear Algebra and Its Applications, 431, 241-246. (2009)
Sets of all periodic points of a toral automorphism, K Ali Akbar,Kannan , I Subramania Pillai, B Sankara Rao J. Math. Anal. Appl. 366 , 367-371 (2010)
Some families of subsets of N that arise in Topological Dynamics, Kannan, Bulletin of Kerala Mathematics Association, 2010.
The set of periods of periodic points of a toral automorphism, K Ali Akbar,Kannan, I Subramania Pillai, B Sankara Rao Topology Proceedings, 37, 1-14. (2011)
Sets of periods of dynamical systems, Kannan, Indian Journal of Pure and Applied Mathematics, Vol. 41, No.1, 225-240, 2010
63 kinds of subsets, Kannan,Sharan Gopal, Bull. Kerala Math. Association 6, 121-130. (2010)
The set of Dynamically special points,Kannan, Sankara Rao B, Subramania Pillai I, Aequationes Mathematicae (Austria) 82, 81-90. 2011
Periodic Points and Periods for Operators on Hilbert Space, Kannan, Chiranjeevi and Sharan Gopal, Discrete and Continuous Dynamical Systems, Vol.33, 4233-4237, 2013.
Homeomorphisms on compact metric spaces with finite derived length, Kannan, Sharan Gopal, Applied General Topology, 17, No2., 129-137. (2016)
Dynamics on locally compact Hausdorff spaces, Topology Proceedings, Kannan, P. Chiranjeevi and M.Archana, 48 309-325. (2016)
A Context-free language associated with interval maps, Kannan, M. Archana, Discrete Mathematics and Theoretical Computer Science, 2017.
Intervals containing all periodic points, Real Analysis Exchange, Kannan, M. Archana, 41, 263-270. (2016)
Study of Transitivity Through Steepness, Rakhee Basu, V.Kannan, Kunal Sannyasi and Nidhish Unnikrishnan, Topology Proceedings, 2017.
(with) Functions Preserving Limit Superior, Rakhee Basu,V.Kannan, Kunal Sannyasi and Nidhish Unnikrishnan, College Mathematical Journal, 2017.
(with M. Rajagopalan) On rigidity and groups of homeomorphisms, General Topology and its relations to Modern Analysis and Algebra III, Proceedings of Third Prague Topology Symposium (1971). Publ (1972) 231-134.
Ordinal Invariants in Topology - A summary, Kannan, Proceedings of Fourth Prague Topology Symposium (1976). Publ (1977) by Czech. Acad. Sci., 197-206.
(with M. Rajagopalan) Hereditarily locally compact separable spaces, Proc. Berlin Symposium on Categorical Topology (1978) Springer Verlag Lecture Notes in Math. 719 (1979)185-195.
Pairs of Topologies with same family of continuous self maps, Kannan, Proc. Berlin Symposium on Categorical Topology (1978) Springer Verlag Lecture Notes in Math. 719 (1979) 176-184.
A classification theorem in Topology, Kannan , Proc. Conf. on general topology, set theory and modern analysis with applications, Univ. of California (1980) Academic Press (1981) 241-246.
(with A.J. Jayanthan) Finite - to – one Quotients, Kannan Second Biennial Conf. Allahabad Math. Soc. (1990) 31-42.
Linear Selection of Spectral elements , Kannan, Proc. Symposium on Operator Theory and functional Analysis, Publ. No. 18 (1990), Centre for Math. Studies, Trivendrum, 1-8.
On Banach spaces of continuous functions, Kannan, Proc. Trends in Algebra and Topology, Madurai Kamaraj Univ. (1992) Publ. (1993) 87-94.
Completeness and completion : Three different models, Kannan, Proc. Workshop on Speech Technology (1992) IIT Madras, 129-135.
“(with Sharan Gopal)”, Four combinatorial problems in topology and dynamics, Kannan Proceedings of the National Seminar on Topology and Its Applications to Computer Science and Related Areas, Dept. of Mathematical Sciences, Kannur University, Nov. 25-26, 2009.
“(with Sharan Gopal)”, A greedy algorithm hidden in sulbasutra, Kannan Proceedings of the National Workshop on Ancient Indian Mathematics, Rashtriya Sanskrit Vidyapeetha, during 20-24, September 2010.
Eight important elementary results of Euler, V.Kannan, Proceedings of a National seminar at Sri Venkateshwara University, Tirupathi, 2011.
(with Sharan Gopal), A greedy algorithm hidden in Sulbasutra, Proceedings of the National Workshop on Ancient Indian Mathematics, Rashtriya Sanskrit Vidyapeetha Publications Series -265, (2011) 17-26. Replace this repeated item by “Toral automorphisms”, Palghat.
Rivlin’s Problem in Approximation Theory, Kannan, Sectional Presidential Address, Eighty first session of Indian Science Congress Association, Jaipur (1994) 1-20.
Convolutions, Kannan, Sixth Ramanujan Centenary Endowment Lecture, Anna University, Madras (1995) 1-24.
Mathematics and Related Sciences in Vedas, Kannan, Yogakshema Trust, Chennai (1998) Republished : Hayoga Vedas (1999).
Paracompact spaces, Kannan, "Prof. Afzal Ahmed Memorial Lecture, Ind. Jour. For the Advancement of Math. Exn. and Res.", 2003.
"Three Ideas of Ulam, Kannan , Prof. Abdi Memorial Lectures", Published by Cochin University of Science and Technology along with other memorial lectures, 2003-2004.
(with Izhar Hussain, M.S. Rangachari and A.M. Vaidya) Text Books for Classes XI and XII, Kannan NCERT (1986) (4 volumes).
(with J.N. Kapur, R.S.L. Srivastava, etc.) Text book : MTE-01, Calculus, V.Kannan, IGNOU (1990).
Videocassettes in Mathematics
Parabolas, UGC Countrywide class room (1992).
Compactness and continuity, Andhra Pradesh Open University (1994).
(with W.W.Comfort) Krein-Milman Theorem, UGC Countrywide class room.
(with Michel Waldshmidt) Squares, Cubes and Powers, UGC Countrywide class room.
Other published articles
(with S.R.K. Raju) Structure of some Banach spaces, Lecture Notes of “a National Seminar on Mathematical Analysis and its Applications”, Ramanujan Institute of Advanced Study in Mathematics, University of Madras (1983).
Mathematics in other sciences, Progressive Educational Herald (1987).
Support required for books and journals in Mathematics, IMS conf. on support for education and research in Math. Sci., Delhi (1989).
Venkataraman – a tribute, UGC Jour. Math. Edu., (1991).
Hausdorff-Young Theorem, Math. Newsletter, 1991.
Presidential Address (general), 58th Annual Conf. of the Indian Math. Soc., BHU, Varanasi (1993).
The language of Mathematics, AP Jour. Math. Research (1994).
Profiles in scientific research contributions of fellows, Vol. I, Diamond Jubilee Publications, INSA, (1995) 49-55.
Lessons learnt from Prof. M. Venkatraman, AP Jour. Math. Research (1999).
Lagadha, In the book “Ancient Indian Mathematicians”, 2010, 1-10.
Fractals, Wavelets and Geometry, Bernsley, V.Kannan , Springer Verlag 2015.
Articles in subjects other than Mathematics. (About 200 articles in Sanskrit, Tamil and English in about ten magazines and journals). List not included here.