Prof. V. Kannan

**Publications**

• 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)

• Scattered Spaces -II, Kannan and M.Rajagopalan, Illinois Jour. Math.21, 735-751. (1977)

• Constructions and Applications of Rigid Spaces - II, Kannan and M.Rajagopalan, Amer. Jour. Math. 100, 1139-1172. (1978)

• On a problem of Herrlich, Kannan, "Madurai University Journal, 6", 101-104. (1977)

• Constructions and Applications of Rigid Spaces - III, Kannan and M.Rajagopalan, Canadian Jour. Math. 30, 926-932. (1978)

• " Simpler Proofs - I, Independent Sets are thin", Kannan and A.K. Vijayakumar, Jour. Ind. Math. Soc. 42, 131-134. (1978)

• "Ordinal Invariants in Topology - II, Sequential order of compactifications", Kannan, Composito Math. 39, 247-262. (1979)

• Hereditarily locally compact spaces and simple extensions of discrete spaces, H. Herrlich, Kannan and M.Rajagopalan, Proc. Amer. Math. Soc. 77, 421-423. (1979)

• Every compact T5 sequential space is Frechet, Kannan, Fund. Mathematicae C VII, 85-90. (1980)

• The non - existence of invariant universal sigma-finite measures on semigroups , Kannan and S.R.K. Raju, Proc. Amer. Math. Soc. 78, 482-484. (1980)

• "Simpler Proofs - 2, On a Set Theoretic Result of Mrowka", Kannan, Ind. Jour. Pure and Appl. Math. 12, 71-72. (1981)

• "Simpler Proofs - 4, On spaces with a unique compactification ", Kannan. Math. Student 48, 161-162. (1980)

• Ordinal Invariants in Topology, Kannan, Memoirs of the Amer. Math. Soc., 165 pages, (the entire volume No. 245). (1981)

• Properties that are productive, closed-hereditary and surjective , Kannan and T. Soundararajan, Topology and Applications 12, 141-146. (1981)

• Simpler Proofs 5-A characterization of inner product spaces, Kannan and S.R.K. Raju, Math. Today 1, 13-16. (1983)

• "Ordinal Invariants in Topology - III, Simplest compact spaces for sequential order", Kannan , Math. Today 1, 65-80. (1983)

• What is an ultra filter? , Kannan and M.Venkataraman, UGC Jour. Math. Edu., 1983

• A Problem in Approximation Theory, Kannan, Math. Student 54, 73-81. (1986)

• What is the maximum yield in the solid state cinnamic acid dimerisation?, Kannan and G.R. Desiraju, Proc. (Chem. Sci.) of the Indian Acad. Sci. 96, 351-362. (1986)

• Rogers-Ramanujan Identities: An elementary introduction, Kannan, UGC Jour. Math. Edu., 74-49. (1987)

• Two Applications of Banach-Stone Theorem, Kannan, Jour. Math. And Phys. Soc. 12, 227-239. (1987)

• Topological characterization of some countable Metric spaces, Kannan and M.Rajagopalan, Bulletin of U.M.I. (Italy), 351-357. (1987)

• Spaces every quotient of which is metrizable, Kannan, A.J. Jayanthan, Proc. Amer. Math. Soc. 103, 294-298. (1988)

• Converses of Lucas' s Theorem , Kannan, Math. Student 57, 53-58. (1989)

• Simultaneous Best Approximation by three polynomials , Kannan, S. Ravichandran, Jour. Approximation Theory 59, 258-266. (1989)

• Joins of Topologies homeomorphic to Rationals, Kannan, A.J. Jayanthan, Jour. Australian Math. Soc. A47, 256-262. (1989)

• Theory of Dispersed Metric Spaces , Kannan, Bull. Allad. Math. Soc. 5, 79-109. (1990)

• Formulas for Functions, Kannan, Math. Student 64, 3-32. (1994)

• Cantor Set: from classical to modern , Kannan, Math. Student , 243-257. (1994)

• Some Selection Theorems, Kannan, Math. Student, 70-80. (1996)

• A generalization of Sarkovskii' s Theorem to higher dimensions ", Kannan P.V.S.P Saradhi and S.P. Sesha Sai, Jour. Nat. Acad. Math. 2, 69-82. 1997(appeared 1999)

• Properties of topologically transitive maps on the real line", Kannan, Anima Nagar and S.P. Sesha Sai, Real Anal. Exchange 27 , 2001

• Spaces admitting transitive maps, Kannan and Anima Nagar, Topology Proceedings 26(2001-2002), 2002

• 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.

**Conference Proceedings**

• (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.

**Lectures Published**

• 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.

**Books**

• (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.

**Edited Books**

• 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.

Prof. Jesse Ira Deutsch

• Conjectures on the Fundamental Domain of the Hilbert Modular Group, Jesse Deutsch, Computers and Math. with Applications, 59, 700-705 (2010)

• Universality of a Non-Classical Integral Quadratic Form over Q(), Jesse Deutsch,ActaArithmetica, 136.3, 229-242 (2009)

• Short Proofs of the Universality of Certain Diagonal Quadratic Forms, Jesse Deutsch, Archiv. der Math. 91, 44-48 (2008)

• A Quaternionic Proof of the Universality of some Quadratic Forms, Jesse Deutsch,INTEGERS EJCNT, 8.2, #A3 (2008)

• Bumby’s Technique and a Result of Liouville on a Quadratic Form, Jesse Deutsch,INTEGERS ECJNT, 8.2, #A2 (2008)

• A Quaternionic Proof of the Representation Formula of a Quaternary Quadratic Form, Jesse Deutsch,Jour. of Number Theory, 113, 149-174 (2005)

• An Alternate Proof of Cohn’s Four Squares Theorem, Jesse Deutsch,Jour. of Number Theory, 104, 263-278 (2004)

• Geometry of Numbers Proof of Gotzky’s Four Squares Theorem, Jesse Deutsch,Jour. of Number Theory, 96.2, 417-431 (2002)

• A Computational Approach to Hilbert Modular Group Fixed Points, Jesse Deutsch, Math. Of Computation, 71, 1271-1280 (2002)

• The Modular Equations of Norm 3 for Q(), Jesse Deutsch, Computers and Math. With Applications, 42 (10-11), 1291-1301 (2001)

• On Strongly Regular Graphs with , J. Deutsch and P.H. Fisher, Jour. of Combinatorics, 22, 303-306 (2001)

• Identities Arising from Hecke Transformations of Modular Forms over Q() and Q(), Jesse Deutsch, Jour. of Symbolic Computation, 15, 315-323 (1993)

• Some Singular Moduli for Q(), H. Cohn and J. Deutsch, Math. of Computation, 59, 213-247 (1992)

• Conjectures Relating to a Generalization of the Ramanujan Tau Function, Jesse Deutsch, Number Theory – New York Seminar 1989-1990, Springer-Verlag, 105-118 (1991)

• An Explicit Modular Equation in Two Variables for Q(), H. Cohn and J.I. Deutsch, Math. of Computation, 50, 557-568 (1988)

• Application of Symbolic Manipulation to the Hecke Transformations of Modular Forms in Two Variables II, H. Cohn and J.I. Deutsch, Jour. of Symbolic Computation, 4, 35-40 (1987)

• Application of Symbolic Manipulation to Hecke Transformations of Modular Forms in Two Variables, H. Cohn and J.I. Deutsch, Math. of Computation, 48, 139-146 (1987)

• Use of a Computer Scan to Prove Q and Q are Euclidean, H. Cohn and J. Deutsch, Math. of Computation, 46, 295-299 (1986)

Dr. Jayasree Subramanian

**In Journals and as Book Chapters in Edited Volumes**

• 1. Proceedings of the 10th International Mathematics Education and Society Conference- Jayasree Subramanian (Editor) Mathematics Education and Society 10, 2019 https://www.mescommunity.info/proceedings/MES10.pdf

• 2. Mathematics to Mathematics Education: A telling Trajectory- Jayasree Subramanian. Review of Women’s Studies in Economic and Political Weekly LII (17), April 29, 52-60, (2017)

• 3. One mathematics for All: Can it be realized in a Multicultural and Multilingual country? - Jayasree Subramanian. Intercultural Education Special Issue: Intercultural Mathematics Education (Ed) Brian Greer and Swapna Mukhopadyay. Routledge Taylor & Francis Group. 266-277(2015)

• 4. Unravelling the “Gender-Merit” Conundrum: Do Women Deserve to Do Science in India- Jayasree Subramanian. Feminist and Science: Critiques and Changing Perspectives in India’ (Ed) Sumi Krishna and Gita Chadha. Vol 1. Stree, Kolkatta. 22-51(2015)

• 5. Some ethical concerns in designing Upper Primary Mathematics curriculum: A report from the field- Jayasree Subramanian, Sunil Verma & Mohd.Umar. First Source Book on Asian Research in Mathematica Education. National Editors of the Book: Rakhi Banerjee, Farida A Khan, Amitabha Mukherjee, R. Ramanujan. Series editor: Bharath Sriraman 1583-1606, (2014)

• 6. Transforming the Elementary Mathematics Curriculum: Issues and Challenges- Anita Rampal and Jayasree Subramanian. Mathematics Education in India: Status and Outlook, Ed K.Subramaniam & R.Ramanujam 63-88, (2012)

• 7. Perceiving and Producing Merit: Gender and Doing science in India- Jayasree Subramanian. Indian Journal of Gender Studies,14(2),259-284, (2007)

• 8. Determinant of representations of division algebras of prime degree over local fields - S Jayasree and R.Tandon. Contemporary Mathematics 210, 109-133 (1998)

**In Conference Proceedings and as papers presented in conferences**

• 9. Language Diversity as a Resource for Knowledge About Mathematics Education and Society- Kate le Roux, Annica Anderson, Lisa Darragh, Jayasree Subramanian, Luz Valoyes- Chaves. Symposium presented at the 10th International Mathematics Education and Society Conference, Hyderabad. (2019)

• 10. Reaching across to a parallel universe below: The promise of Justice communities for researching caste in mathematics education- Jayasree Subramanian (2017). Proceedings of the 9th International Conference of Mathematics Education and Society pp 130-133. Invited response to the plenary talk by Erika Bullock at the 9th International Mathematics Education and Society Conference held at Volos, Greece.

• 11. Jayasree Subramanian (2017) ‘Beyond poverty and development: caste dynamics and access to mathematics education in India’. Proceedings 9th International Mathematics Education and Society Conference pp 924-935 Volos, Greece.

• 12. Jayasree Subramanian (2016) ‘Gender of mathematics Curriculum’ presented at ICME- 13 held at Hamburg, Germany.

• 13. Jayasree Subramanian (2016) ‘Ethical Dilemmas in prescribing one Mathematics for All’ presented at the seminar titled ‘Mathematics Education and Social Justice Concerns’ held at Tata Institute of Social Sciences, Hyderabad in February, 2016.

• 14. Jayasree Subramanian (2015) ‘Upper Primary Mathematics Curriculum, The Right To Education in India and some Ethical Issues’ Proceedings of the 8th International Mathematics Education and Society Conference. Pp939-953 Portland State University, USA.

• 15. Jayasree Subramanian (2014) ‘Politics of Knowledge: Whose Interest Does Primary Mathematics Serve?’ presented at the Fifth International Conference of the Comparative Education Society of India, New Delhi.

• 16. Jayasree Subramanian (2012) 'Gender and Mathematics Education in India: An unexplored domain' presented at ICME-12 as part of the panel on Gender and Mathematics Education.

• 17. Jayasree Subramanian (2012) ''Primary Mathematics: Pedagogies and Challenges' presented at ICME12 as part of the Indian National Presentation

• 18. Shreya Khemani & Jayasree Subramanian (2012), 'Tackling the division algorithm' a paper presented inTSG7 in ICME12

• 19. Jayasree Subramanian (2012) 'Upper primary mathematics: A review from below' poster presented at ICME 12

• 20. Introducing fractions using share and measure meaning of fractions: A report from class room trials- Jayasree Subramanian, Brijesh Verma. Episteme3 conference held at HBCSE in January 2009

• 21. Combining and Measure meaning of fractions to facilitate students’ reasoning- Jayasree Subramanian, K.Subramaniam, Shweta Naik, Brijesh Verma. International Congress of Mathematics Education (ICME- 11) held at Mexico in July 2008

• 22. Women’s Experience vs Dominant Notions: Gender Politics in Science institutions – Jayasree Subramanian. India at the Indian Association of Women Studies Conference held at Lucknow in March 2008

• 23. Negotiating a career in Science: Women’s experience in doing science in India- Jayasree Subramanian. International conference on Women and Science held at NISTADS in March 2004.

**GIZ Desk Study**

• 24. Teaching Numeracy in Pre-School and Early Grades in Low-Income Countries. – Bill Atweh, Arindam Bose, Mellony Graven, Jayasree Subramanian & HamsaVenkat. Deutsche Gesellschaft für Internationale Zusammenarbeit (GIZ) GmbH. 2014

**In Journals and as Book Chapters in Edited Volumes**

• 1. 'Bato Napo Binn Batlao' (2012)– A six-part film documenting our longitudinal work on teaching fractions at a primary school level in a Government Primary School for Girls in rural India

• 2. 'Kitne Roti Kitne Bachein' (2008)- A short film also on teaching fractions for children working as rag pickers from an urban slum.

**In Journals and as Book Chapters in Edited Volumes**

• 1. Exclusion by Design: Math Education in the NEP.- Jayasree Subramanian, Teacher Plus, November 2019

• 2. Mathematics Education for ‘All’: As if Children with Disabilities Count, Café Dissensus 2016 https://cafedissensus.com/2016/08/14/mathematics-education-for-all-as-if-children-with-disabilities-count/

• 3. Teaching Negative Numbers to School Children. - Jayasree Subramanian Sandarb Issue 52 brought out by Eklavya also carried in Teacher Plus 2006

• 4. Series and Infinite Series. -Jayasree Subramanian. Sandarb Issue 53 brought out by Eklavya also carried in Teacher Plus 2006

• 5. Zero+Zero+Zero+….. -Jayasree Subramanian Article in Sandarb Issue 55 brought out by Eklavya 2006

Dr. Jadav Ganesh

**Journal Papers [SCI/SCIE]**

• J. Ganesh, G. Ramesh and D. Sukumar, A characterization of absolutely minimum attaining operators, J. Math. Anal. Appl. 468 (2018), no.~1, 567--583. MR3849004.

• J. Ganesh, G. Ramesh and D. Sukumar, Perturbation of minimum attaining operators, Adv. Oper. Theory. 3 (2018), no.~3, 473--490. MR3795095.

• J. Ganesh, G. Ramesh and D. Sukumar, On the structure of absolutely minimum attaining operators, J. Math. Anal. Appl. 428 (2015), no.~1, 457--470. MR3326997.

**Presentations in Conferences/Workshops**

• Title : A characterization of absolutely minimum attaining operators, Venue : International Workshop on Operator Theory and its Appications-2016 (IWOTA-2016), held at Washington University, St. Louis, USA during 18-22, July 2016.

• Title: On the structure of absolutely minimum attaining operators, Venue : International Conference on Linear Algebra and its Applications-2014 (ICLAA-2014), held at Manipal University, Manipal, India during 18-20, Dec 2014.

Dr. Fouzul Atik

**Journal Papers [SCI/SCIE]**

• On the distance spectrum of distance regular graph, Atik and P. Panigrahi, Linear Algebra and its Applications., Vol 478, 256-273, 2015.

• Graphs with few distinct distance eigenvalues irrespective of the diameters, Atik and P. Panigrahi, Electronic Journal of Linear Algebra, F. Atik and P. Panigrahi, Vol 29, 194-205, 2016.Spectral radius of power graphs on certain finite groups, S. Chattopadhyay, P. Panigrahi and Atik, Indagationes Mathematicae, Vol 29, 730-737, 2018.

• On the distance and distance signless Laplacian eigenvalues of graphs and the smallest Gersgorin disc, Atik and P. Panigrahi, Electronic Journal of Linear Algebra, Vol 34, 191-204, 2018.

• Bounds on the maximal and minimal entries of the $p$-norm normalized principal eigenvector of the distance matrix of graphs, Atik and P. Panigrahi, Graphs and Combinatorics, Vol 34, 1019-1035, 2018.

• Identities for minors of the Laplacian, resistance and distance matrices of graphs with arbitrary weights, P. Ali, Atik and R. B. Bapat, Linear and Multilinear Algebra, DOI:10.1080/03081087.2018.1505822

**Conference Paper**

• Distance spectral radius of k-partitioned transmission regular graph, Atik and P. Panigrahi, Lecture Notes in Computer Science, Vol 9602, 26-36,(2016).

Dr. Sayantan Mandal

**Journal Papers:**

• Sayantan Mandal and Balasubramaniam Jayaram, "Bandler-Kohout Subproduct with Yager’s Classes of Fuzzy Implications", IEEE Transactions on Fuzzy Systems, Vol-22(3), pp.469-482, 2014. (Impact Factor: 6.701).

• Sayantan Mandal and Balasubramaniam Jayaram, "SISO Fuzzy Relational Inference systems based on Fuzzy Implications are Universal Approximators", Fuzzy Sets and Systems, vol. 277, pp. 1 – 21, 2014. (Impact Factor: 2.098).

• Meng Joo Er, Sayantan Mandal, " A Survey on Adaptive Fuzzy Controllers: Nonlinearities and Classifications”, IEEE Transactions on Fuzzy Systems, Volume: 24(5), pp.1095 - 1107, 2015. (Impact Factor: 6.701).

• Sayantan Mandal and Balasubramaniam Jayaram, "Monotonicity of SISO Fuzzy Relational Inference with an Implicative Rule Base", IEEE Transactions on Fuzzy Systems, Vol. 24(6), pp. 1475 - 1487, 2016. (Impact Factor: 6.701).

• Martin Stepnicka, Sayantan Mandal, "Fuzzy Inference Systems Preserving Moser-Navara Axioms", Fuzzy Sets and Systems, Accepted, 2017. (Impact Factor: 2.718). (Corresponding Author)

**Conference Papers:**

• Sayantan Mandal and Balasubramaniam Jayaram, " Approximation Capability of SISO SBR Fuzzy Systems based on Fuzzy Implications ", 6th International Summer School on Aggregation Operators AGOP 2011, Benevento, Italy, July 11-15, 2011.

• Sayantan Mandal and Balasubramaniam Jayaram, , "Bandler-Kohout Subproduct with Yager’s classes of fuzzy implications ", 13th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012, Catania, Italy, July 9-13, 2012.

• Sayantan Mandal and Balasubramaniam Jayaram, " Approximation Capability of SISO Fuzzy Relational Inference systems based on Fuzzy Implications", 2013 International Conference on Fuzzy Systems, Fuzz-IEEE 2013, Hyderabad, India, July 7-10, 2013.

• Sayantan Mandal and Balasubramaniam Jayaram, " Monotonicity of SISO Fuzzy Relational Inference Mechanisms with Yager's class of Fuzzy Implications", 5th International Conference on Pattern Recognition and Machine Intelligence , PReMi 2013, Kolkata, India, December 10 -14, 2013.

• Sayantan Mandal and Balasubramaniam Jayaram, "Fuzzy Systems based on Similarity and Universal Approximation", International Conference on Mathematics and Computing, ICMC 2013, Haldia, India, December 26 - 29, 2013.

• Martin Stepnicka, Sayantan Mandal, "Conditionally Firing Implicative Rules" in Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology, 2015, Spain, doi:10.2991/ifsa-eusflat-15.2015.9.

• Rafal Grycuk, Michal Knop, Sayantan Mandal, “Video Key Frame Detection based on SURF Algorithm”, Artificial Intelligence and Soft Computing, Lecture Notes in Computer Science Volume 9119, 2015, pp 566-576.

• Sayantan Mandal, Meng Joo Er, Yiik Diew Wong, Rajasekar Venkatesan, " A Study of Experiential Learning Theory using Fuzzy Inference System ", IEEE International Conference on Fuzzy Systems, Fuzz-IEEE 2015, Istanbul, Turkey.

**Abstract in Peer Reviewed Conference**

• Sayantan Mandal and Balasubramaniam Jayaram, " Suitability of FRIs based on generalised Operators", 12th International Conference on Fuzzy Set Theory and Applications, FSTA 2014, Jan Liptovsky, Slovakia, January 26 - 31, 2014.

Dr. Vijayakrishna Rowthu

• A diffusion spectrum imaging-based tractographic study into the anatomical subdivision and cortical connectivity of the ventral external capsule: uncinate and inferior fronto-occipital fascicles. - Sandip S. Panesar, Fang-Cheng Yeh, Christopher P. Deibert, David Fernandes-Cabral, Vijayakrishna Rowthu, Pinar Celtikci, Emrah Celtikci, William D. Hula, Sudhir Pathak, Juan C. Fernández-Miranda - Neuroradiology, 59(10), 971-987 (2017).

• PDE based image processing theory and computation. - V. Rowthu, BV Rathish Kumar -Nonlinear Studies 21(2) (2014).

Dr. Tapan Kumar Hota

**Publications:**

• Nonmodal stability analysis of miscible viscous fingering with non-monotonic viscosity profiles- K. Hota, M. Mishra, Journal Fluid Mechanics, 856, 552-579, (2018).

• A general approach to the linear stability analysis of miscible viscous fingering in porous media- K. Hota, S. Pramanik, M. Mishra, Springer's proceedings in Complexity series, CS-DC’15 World e-conference, 109-115 (2016).

• Nonmodal stability analysis of miscible viscous fingering in a porous media- K. Hota, S. Pramanik, M. Mishra, Physical Review E., 92(5), 053007, (2015).

• Influence of viscosity contrast on buoyantly unstable miscible fluids in porous media- Pramanik, T.K. Hota, M. Mishra, Journal Fluid Mechanics, 780, 388-406, (2015).

• Onset of fingering instability in a finite slice of adsorbed solute- K. Hota, S. Pramanik, M. Mishra, Physical Review E., 92(2), 023013, (2015).

• Thermally developing combined electroosmotic and pressure-driven flow of nanofluids in a microchannel under the effect of magnetic field- S. Ganguly, S. Sarkar, K. Hota, M. Mishra, Chemical Engineering Science, 126, 10-21, (2015).

**Abstracts/Presentation in International Conference:**

• Non-modal growth of perturbations in miscible displacements with non-monotonic viscosity profiles- K. Hota, M. Mishra, InterPore 10th Annual Meeting and Jubilee, May 14-17, 2018, New Orleans, USA (Oral presentation).

• Optimal Structures of miscible viscous fingering with non-monotonic viscosity-K. Hota, M. Mishra, Proceedings of 14th International Conference on Flow Dynamics, November 1-3, 2017, Sendai, Japan.

• The effect of viscosity variation on the stability of a buoyantly unstable miscible layer in porous media, K. Hota, S. Pramanik, M. Mishra, Bulletin of the American Physical Society, APS March Meeting, volume 61, No. 1, March 14-18, 2016, Baltimore, Maryland, USA.

• Transient optimal perturbations of viscous fingers with buoyantly unstable miscible fluids-K. Hota, M. Mishra, Recent Advances in Theoretical & Computational PDEs with Application, December 5-9, 2016, Panjab University, Punjab, India (Oral presentation).

• Fingering instability as an input-output problem-K. Hota, M. Mishra, International Conference on Current Trends in PDEs: Theory & Computation, December 28 -30, 2015, South Asian University, New Delhi, India (Oral presentation).

• Viscous fingering effect on buoyantly unstable miscible fluids-K. Hota, M. Mishra, Cynosure, Mathematics Research Day, November 7, 2015, IIT Ropar, India (Poster presentation).

• Influence of fluid dispersion on transient behaviours of miscible viscous fingering- K. Hota, M. Mishra, Bulletin of the American Physical Society, 68th Annual meeting of The APS Division of Fluid Dynamics, volume 60, No. 21, November 22-24, 2015, Boston, MA, USA (Oral presentation).

• Stability analysis of viscous fingering effects on the adsorbed solute dynamics- K. Hota, M. Mishra, Proceedings of 12th International Conference on Flow Dynamics, October 27-29, 2015, Sendai, Japan.

• Linear stability of a rectilinear miscible displacement: A non-modal approach T.K. Hota, M. Mishra, IUTAM Symposium on Multiphase Flows with Phase Change: Challenges & Opportunities, December 8-11, 2014, IIT Hyderabad (Poster presentation).

Dr. Sivaramakrishnan

• On the images of Dunk-Sobolev spaces under Schrodinger semigroup associated to Dunkl operators, C. Sivaramakrishnan, D. Sukumar and D. Vanku Naidu - 10(1)- 93-120(2019)

• Benedicks' theorem for the Weyl Transform associated with the Heisenberg group - Partha sarathi Patra, C. Sivaramakrishnan and D. Venku Naidu-Integral Transforms Spec. Funct. -29(6) - 442-449(2018)

**Presentations in Conferences/Workshops**

• Title: On the images of Dunkl-Sobolev spaces in L^2(R, e^{u^2}|u|^{2 \mu }du) under Schrodinger semigroup.

• Venue: 6th Workshop on Fourier Analysis and Related Fields held at University of Pecs,Pecs, Hungary, 24-31 August 2017.

Dr. B Madhav Reddy

**Journal Papers:**

• S K Ghosh, C Jones, B M Reddy, Annular representations of free product categories, Journal of Non-commutative geometry (to appear), 2018

• S K Ghosh, C Jones, B M Reddy, Free oriented extensions of subfactor planar algebras, International Journal of Mathematics, 29(13), 1850093 (2018).

**Conference presentations:**

• Short talk on Annular representations of free product categories at Recent advances in operator theory and operator algebras (OTOA) – 2018 held at Indian Statistical Institute, Bangalore during December 13-19, 2018.

**Other talks:**

• Series of talks on Free-type rigid C*-tensor categories and their annular representations at The Institute of Mathematical Sciences, Chennai during November 01-29, 2018.

• Talk on Free-type rigid C*-tensor categories and their annular representationsat National Institute of Science Education and Research (NISER), Bhubaneshwar on January 03, 2019

Dr. Subhashree Mohapatra

• William W. Hager, Hongyan Hou , Subhashree Mohapatra, Anil V. Rao, Xiang-Sheng Wang (2019) : Convergence rate for a Radau hp collocation method applied to constrained optimal control, Computational Optimization and Applications.

• William W. Hager, Jun Liu, Subhashree Mohapatra, Anil V. Rao, Xiang-Sheng Wang (2018):Convergence Rate for a Gauss Collocation Method Applied to Constrained Optimal Control, SIAM Journal on Control and Optimization, 56(2).

• Gary Gorbet, Subhashree Mohapatra and Borries Demeler (2018) : Global Analysis of multi-speed Sedimentation Velocity Experiments with UltraScan-III, European Biophysics Journal, 47(7).

• William W. Hager, Jun Liu, Subhashree Mohapatra, Anil V. Rao (2018): A pseudospectral method for optimal control based on collocation at the Gauss points, Accepted in 57th IEEE Conference on Decision and Control.

• Subhashree Mohapatra, Akhlaq Husain (2016): Least squares spectral element method for three dimensional Stokes equations, Applied Numerical Mathematics.

• Subhashree Mohapatra, Sashikumaar Ganesan (2016): A non-conforming least squares spectral element formulation for Oseen equations with applications to Navier-Stokes equations, Numerical functional analysis and optimization, 37, 1295-1311.

• Arbaz Khan, Akhlaq Husain, Subhashree Mohapatra, Chandra S Upadhyaya (2016): Non-conforming least-squares spectral element method for three dimensional elliptic problems with smooth interfaces, Computer Methods in Applied Mechanics and Engineering, 315, 522-549.

Dr. Partha Sarathi Patra

• Partha Sarathi, Patra; Venku Naidu, D Images of some subspaces of L2(Rm)under Grushin and Hermite semigroup. J. Pseudo-Differ. Oper. Appl. (2018) Volume 9, Issue 2, pp 247-264

Dr. Ranjana Mehta

• Betti numbers of Bresinsky's curves in A4, R. Mehta, J. Saha, I. Sengupta, Journal of Algebra and Applications, 18, 1950143(2019).

• Moh’s Example of Algebroid Space Curves, R. Mehta, J. Saha, I. Sengupta, To Appear In The Journal of Symbolic Computation, (2020).

Dr. M. Radhakrishnan

• Existence of fixed points for pointwise eventually asymptotically nonexpansive mappings – M. Radhakrishnan and S. Rajesh –Appl. Gen. Top. 20(1), 119 – 133(2019).

• On k-strong convexity in Banach spaces – M. Veena Sangeetha, M. Radhakrishnan and Samir Kar, (Communicated).

Dr. Saswata Adhikari

• A sampling theorem for the twisted shift-invariant space- R. Radha, Saswata Adhikari-Advances in Pure and Applied Mathematics, 293-305, 8 (4), 2017.

• Left translates of a square integrable function on the Heisenberg group- R. Radha, Saswata Adhikari- Collectanea Mathematica, https://doi.org/10.1007/s13348-019-00255-4, 2019.

• Shift-invariant spaces with countably many mutually orthogonal generators on the Heisenberg group- R. Radha, Saswata Adhikari- Accepted for publication in "Houston Journal of Mathematics", 2019.

• Existence of an extremal of Sobolev inequality associated with Dunkl gradient and of Stein-Weiss inequality for D-Riesz potential- Saswata Adhikari, V. P. Anoop and S. Parui- submitted for publication, arxiv:1902.08530V2 [math. FA].

Dr. Ram Baran Verma

• Positive solution of extremal Pucci’s equations with singular and sublinear nonlinearity, J. Tyagi, and Ram Baran Verma,-Mediterranean Journal of Mathematics, DOI 10.1007/s00009-017-0950-6 (2017)

• On the bifurcation for fractional Laplace equations- G. Dwivedi, J.Tyagi and Ram Baran Verma Mathematische Nachrichten, DOI: 10.1002/mana201600250

• A Survey on the existence, uniqueness and regularity questions to fully nonlinear elliptic partial differential equations, J. Tyagi and Ram Baran Verma, Differential Equations and Application, 8(2) 135—205 (2016)

Dr. Firdoshi Parveen

• On a subclass of meromorphic univalent functions, B. Bhowmik and F. Parveen, Complex Var. Elliptic Equ., B. Bhowmik and F. Parveen, Vol -62, 494-510, 2017.

• Criteria for univalence, integral means and Dirichlet integral for meromorphic functions, B. Bhowmik and F. Parveen, Bull. Belg. Math. Soc. (Simon Stevin), Vol-24, 427-438, 2017.

• Sufficient conditions for univalence and study of a class of meromorphic univalent functions, B. Bhowmik and F. Parveen, Bull. Korean Math. Soc., Vol-55(3), 999-1006, 2018.

• On the Taylor coefficients of a Subclass of Meromorphic Univalent Functions, B. Bhowmik and F. Parveen, Bull. Malays. Math. Sci. Soc., Vol-42(3), 793-802.

Dr. Awanish Kumar Tiwari

• A high-order Nyström method solver for electromagnetic scattering from orthotropic media - Anand, A., Tiwari, A. K. and Pandey, A. - Proceedings of the 12th International Conference on Mathematical and Numerical Aspects of Waves (WAVES), July 20-24, 2015, Karlsruhe Institute of Technology, Germany.