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 Department of Mathematics

31 March 2025

Department of Mathematics

       The Central University Kerala, a premier institution of post graduate teaching and research in the country was established in 2009 as a central university. The School of Mathematical and Physical Sciences (SMPS), which was established in 2011, and renamed as the School of Physical Sciences (SPS) in 2015. The Department of Mathematics in Central University of Kerala was started as one of the first six Departments of the University in 2011 under SMPS. The Department offers Master of Science and Doctor of Philosophy programs in Mathematics with the major objective of developing a center of excellence especially in Mathematical Sciences and Applications.

       The department’s research interests span across the broad areas of Algebra, Analysis, Combinatorics, Control Theory, Differential Equations, Discrete Mathematics, Distribution Theory, Fixed Point Theory, Operations Research, Stochastic Modelling and Analysis,Special Functions, Topological Dynamics, etc.

       We provide beginners with bridge courses to become acquainted with the preliminaries of mathematics and the techniques to use and train them in the rigor and precision characteristic of mathematical reasoning. We prescribe papers that help to acquire the mathematical knowledge and the reasoning skills necessary to make effective use of mathematics.

       Along with teaching, our faculty members are actively engaged in research by participating in conferences/seminars/collaborative works at the national and international institutes/universities. We also serve the broader community through outreach initiatives, and by fostering public understanding of the power of mathematics and its role as a fundamental mode of human thought. The department has been organizing post graduate and research level conferences and workshops since the beginning onwards.

Department of Mathematics

To be one among the best mathematics departments in the country and to establish an international reputation as a centre for research and teaching in mathematics.

E-Learning
Recent Events
 INVITED TALK: ENCOUNTERING IMMUNE SYSTEM AND INFLAMMATION IN EVERYDAY LIFE  

 Special Lecture - Construction of Random Network/Modified Version of Prisoner’s Dilemma by Prof. A. Krishnamoorthy  

 Invited talk (MCCUK) - NAVIER-STOKES EQUATIONS -THE MILLION DOLLAR PROBLEM by Dr. Manil T. Mohan, IIT Roorkee   

 Third National Conference on Control and Inverse Problems (CIP 2022)  

 27th International Conference of the International Academy of Physical Sciences (CONIAPS XXVII) on Mathematical Analysis and its Applications  

 Invited talk - Birational Classification of Algebraic Surfaces by Dr. Sarbeswar Pal, IISER TVM  

 Mathematics Colloquium : Differential Equations and Linear Algebra   

 One Day National Webinar on Research Methodology and Publication Ethics  

 Introduction to Inverse and Ill-posed Problems and its Applications by Dr. Barani Balan Natesan, CUTN, India held on 13-08-2021  

 Opportunities and Challenges in Mathematics by Prof. Indira Narayanaswamy, Ramaiah University of Applied Sciences, Bengaluru, India held on 17/08/2021  

 The all-minors Matrix-tree Theorem for Oriented Hypergraphs by Dr Lucas Rusnak, Texas State University, USA held on 21/07/2021  

 Invited talk on Congruent Numbers by Dr. U.K. Anandavardhanan, IIT Bombay on March 27, 2021  

Department of Mathematics

To be one among the best mathematics departments in the country and to establish an international reputation as a centre for research and teaching in mathematics.

E-Learning
Programmes
MSc and PhD in Mathematics

M.Sc Curriculum and Syllubus 2022-24

Department of Mathematics

To be one among the best mathematics departments in the country and to establish an international reputation as a centre for research and teaching in mathematics.

E-Learning
Faculty


Prof A. KRISHNAMOORTHY
Professor
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Dr. Shaini Pulickakunnel
Associate Professor
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Dr. Ali Akbar K.
Associate Professor
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Dr. Gnanavel Soundararajan
Assistant Professor
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Dr. Manikandan Rangaswamy
Assistant Professor
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Prof.V. Vilfred
Professor
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Prof.Dr. Germina K A
Professor
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Department of Mathematics

To be one among the best mathematics departments in the country and to establish an international reputation as a centre for research and teaching in mathematics.

E-Learning
Publications
  1. Arya P. S., Manikandan Rangaswamy, A. Krishnamoorthy, and S. Dharmaraja,(2025)."Optimizing Battery Maintenance and Reliability in Ground Control Station for Tethered High-Altitude Platforms",ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems Part B:Mechanical Engineering, 2025,https://doi.org/10.1115/1.4067545

  2. Akhil Vijayan R., Arya P. S., and Manikandan Rangaswamy,(2025)."Strategic Maintenance Approaches for Enhanced Reliability in Parallel System",Journal of the Indian Society for Probability and Statistics, 2025,https://doi.org/10.1007/s41096-024-00226-4

  3. Salini K, Manikandan Rangaswamy,(2024)."The Price of Anarchy in Queueing-Inventory Systems with Delay-Sensitive Customers",Springer Book Series, “Lecture Notes in Networks and Systems”, 2024,To appear.

  4. Arya P. S., Manikandan Rangaswamy,(2024)."Reliability Enhancement of Multi-Cell Battery in Ground Control Station of Tethered HAPS",IEEE Xplore, 2024 International Conference on Communication Control and Intelligent System,pp. 1-6, doi:10.1109/CCIS63231.2024.10931946

  5. Padmapriya V.P and K. Ali Akbar,(2024)."A characterization of chaotic group actions",The Mathematics Student,93, 1-2, 67-70, Published by Indian Mathematical Society.

  6. V P Padmapriya and K Ali Akbar,(2023)."Dense set of large periodic points and chaotic group actions (to appear)",Matematicki Vesnik,Published by the Mathematical Society of Serbia (2023)

  7. Subrata Golui, Chandan Pal, R. Manikandan & Abhay Sobhanan,(2023)."Optimal control of a dynamic production-inventory system with various cost criteria",Annals of Operations Research,https://doi.org/10.1007/s10479-023-05716-5

  8. Deepa Karichery and Shaini Pulickakunnel,(2023)."Multidimensional common fixed point theorems for multivalued mappings in dislocated metric spaces",Revista de la Unión Matemática Argentina 2021,Vol. 62 No. 2 (2021) Pages 275–293

  9. Valiya Valappil, S.; Pulickakunnel, S.,(2023)."Some fixed point theorems and applications in Busemann spaces",Bolletino dell Unione Matematica Italiana,10.1007/s40574-023-00346-y

  10. Sreya Valiya Valappil, Shaini Pulickakunnel,(2023)."Some fixed-point theorems for a pair of Reich-Suzuki-type nonexpansive mappings in hyperbolic spaces",Topological Algebra and its Applications,https://doi.org/10.1515/taa-2022-0132

  11. Prajisha E.; Shaini P.,,(2022)."FG- coupled fixed point theorems in partially ordered S* metric spaces",3C TIC: Cuadernos de desarrollo aplicados a las TIC,DOI: 10.17993/3ctic.2022.112.81-97

  12. John Sebastian; Shaini Pulickakunnel,(2022)."Fixed point theorems for suzuki nonexpansive mappings in banach spaces",3C TIC: Cuadernos de desarrollo aplicados a las TIC,DOI: 10.17993/3ctic.2022.112.15-24

  13. Sreya Valiya Valappil; Shaini Pulickakunnel,,(2022)."The Leray-Schauder Principle in Geodesic Spaces",3C TIC: Cuadernos de desarrollo aplicados a las TIC,DOI: 10.17993/3ctic.2022.112.99-106

  14. Manikandan R,(2022)."On a production-inventory system with defective items and lost sales",3C Empresa. Investigación y pensamiento crítico, (2022),,11 (2), 139-151

  15. Prajisha E., Shaini P.,(2022)."FG Coupled Fixed Point Theorems in Generalized Metric Spaces",Mathematical Sciences-International Research Journal,No.43832, pp 58-62.

  16. Sherly George and Shaini Pulickakunnel,(2022)."Common Fixed Points for Expansive Mappings in Cone B-Metric Spaces,",International Journal of Recent Scientific Research Research,,Vol. 9, Issue, 2(A), pp. 23730-23734,

  17. K. Ali Akbar,(2022)."Dynamics of Sofic Shifts",3C Tecnologia,Vol. 11 (2022), no. 2, Pages 13-23 published by 3Ciencias, Spain.

  18. K. Ali Akbar and T. Mubeena,(2022)."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.

  19. K. Ali Akbar and T. Mubeena,(2022)."Sets of eventual periods of dynamical systems",Topology Proceedings,Volume 60 (2022), Pages 245–259. Published by Auburn University, U.S.A.

  20. Prajisha E. and Shaini P,(2022)."Coupled fixed point theorems for mappings satisfying rational type conditions in partially ordered metric spaces",Asian-European Journal of Mathematics,https://doi.org/10.1142/S1793557122501947

  21. T.V. Shijin1 , P. Soorya1 , K. Shahul Hameed , K.A. Germina,(2021)."On the distance spectra of the product of signed graphs",Communications in Combinatorics and Optimization,To be assigned

  22. K. Ali Akbar and T. Mubeena,(2021)."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.

  23. Prajisha E. and Shaini P,(2021)."Coupled fixed point theorems for mappings satisfying Geraghty type contractive conditions",Italian Journal of Pure and Applied Mathematics,N. 46–2021 (827–835)

  24. Sreya V.V. and Shaini P,(2021)."Some Continuation results in Uniquely Geodesic Spaces",Journal of Physics: Conference Series,doi:10.1088/1742-6596/1850/1/012046

  25. Karichery, D.; Pulickakunnel, S.,(2021)."Multidimensional common fixed point theorems for multivalued mappings in dislocated metric spaces",Revista de la Unión Matemática Argentina,DOI: 10.33044/REVUMA.1403

  26. Narayanan, L, Soundararajan, G,(2021)."Existence of solutions of a viscoelastic p(x)-Laplacian equation with logarithmic nonlinearity",Discontinuity, Nonlinearity, and Complexity,Yet to assign

  27. K. Ali Akbar and T. Mubeena,(2021)."Periodic Points of N-Dimensional Toral Automorphisms",Springer proceedings in Mathematics and Statistics,350 (2021), Pages 181-185.Published by Springer.

  28. K. Ali Akbar and T. Mubeena,(2021)."The conjugacy classes of bijective cubic polynomials",The Mathematics Student,Vol. 90, Nos. 3-4 (2021), Pages: 43–48. Published by Indian Mathematical Society.

  29. 183. Roshni T. Roy, Shahul Hameed K., K. A Germina,(2021)."On two Laplacian matrices for skew gain graphs",Electronic Journal of Graph Theory and Applications,9 (1) (2021), 125–135

  30. 184. K. Dhanalakshmi, K. A Germina, Amalorpava Jerline and L. Benedict Michael Raj,(2021)."Results on uniquely colorable digraphs",Discrete Mathematics, Algorithms and Applications,To appear (0nine published)

  31. Soorya P., and K. A. Germina,(2021)."Edge (m,k)-Choosability of Graphs, Discrete Mathematics",Discrete Mathematics, Algorithms and Applications,To appear

  32. K. A Germina,(2021)."A graph modelling to measure the frustration indexing signed networks",Italian Journal of Pure and Applied Mathematics,To appear

  33. Krishna pada Das, Gnanavel Soundararajan,(2021)."Allee effect and delay in a predator-prey mode with prey infected through external source and contact of species",NONLINEAR STUDIES,28(2)(2021), 629-651.

  34. Narayanan, L, Soundararajan, G,(2021)."Quasilinear p(x)- Laplacian parabolic problem: upper bound for blow-up time",IOP Journal of Physics: Conference Series,(1850), 012007

  35. 186. T.V. Shijin, K.A. Germina, K. Shahul Hameed,(2021)."On the powers of signed graphs",Communications in Combinatorics and Optimization (CCO),To appear

  36. V. Vilfred Kamalappan,(2021)."A survey of two types of labelings of graphs",Discrete Mathematics Letters,Vol. No. 6 Page 8-18.

  37. Shahul Hameed, T. V. Shijin, K. A Germina, Thomas, Zaslavsky,(2021)."Signed distance in signed graphs",Linear Algebra and its Applications,608 (2021) 236–247

  38. Nageswara Rao, K.; Shaini, P.; Germina, K.A.,(2020)."Friendship-Like Graphs and It’s Classiffication",Springer Proceedings in Mathematics and Statistics,10.1007/978-981-15-1157-8_13

  39. Narayanan, L, Soundararajan, G,(2020)."Existence and blow-up studies of a p(x)-Laplacian parabolic equation with memory",Math. Meth. Appl. Sci.,2020; 1-18

  40. K.A. Germina, Gency Joseph L. Benedict Michael Raj,(2020)."Characterization 1- uniform dcsl graphs and learning graphs",Italian Journal of Pure and Applied Mathematics,Volume 44 , 1-8

  41. N.K. Sudev1, K.P. Chithra , K.A. Germina,(2020)."Arithmetic integer additive set-valued graphs: a creative review",Math. Comput. Sci.,10 (2020), No. 4, 1020-1049

  42. Sudev N. K., Soorya P., and K. A. Germina,(2020)."On alpha - Vertex Choosability of Graphs",National Academy Science Letters,(2020) DOI: 10.1007/s40009-020-01006-x

  43. K. Ali Akbar,(2020)."The class of simple dynamical systems",Applied General Topology,2020, Vol. 21, no. 2, Pages 215-233. Published by Universitat Politècnica de València, Spain.

  44. R. Manikandan & S. S. Nair,(2020)."An M/M/1 queueing-inventory system with working vacations, vacation interruptions and lost sales",Automation and Remote Control, (2020),81, 746-759.

  45. Shajin, D., Krishnamoorthy, A. & Manikandan, R.,(2020)."On a queueing-inventory system with common life time and Markovian lead time process",Operational Research, (2020),https://doi.org/10.1007/s12351-020-00560-y

  46. Prajisha E., Shaini P.,(2019)."FG-Coupled Fixed Point Theorems for various Contractions in Partially Ordered Metric Spaces,",Sarajevo Journal of Mathematics,Vol.15 (28), No.2, 291 – 307

  47. K. Ali Akbar, V. Kannan and I.S. Pillai,(2019)."Simple dynamical systems",Applied General Topology,2019, Vol. 20, no. 2, Pages 307-324. Published by Universitat Politècnica de València, Spain.

  48. R. Manikandan & S. S. Nair,(2019)."Type M / M / 1 service-storage system with vacations, vacation interruptions and lost sales” (in Russian)",Mathematical Game Theory and its Applications (2019),v. 11, v. 3.2019. P. 53-72

  49. K. Ali Akbar and V. Kannan,(2018)."Set of Periods of a subshift",Proceedings - Mathematical Sciences,October 2018, 128:63. Published by Indian Academy of Sciences.

  50. Deepa Karichery and Shaini Pulickakunnel,,(2018)."FG-coupled Fixed Point Theorems for Contractive Type Mappings in Partially Ordered Metric Spaces,",J o u r n a l of Mathematics and Applications JMA,No 41, pp 157-170

  51. Sherly George, Shaini Pulickakunnel,(2017)."Some Fixed Point Theorems For Extended Expansion Mappings On Cone Metric Spaces",International Journal of Mathematical Archive,,8(10), 227-233

  52. R. Manikandan and Sajeev S. Nair,(2017)."M/M/1/1 queueing-inventory system with retrial of unsatisfied customers",Communications in Applied Analysis (2017),21, No. 2, 217-236

  53. Sakthivel Kumarasamy, Gnanavel Soundararajan,Hasanov Alemdar and George Raju K.,(2016)."Identification of an unknown coefficient in KdV equation from final time measurement",Journal of Inverse and Ill-Posed Problems,24 (2016) , 469-487.

  54. Sherly George and Shaini Pulickakunnel,(2016)."15. Common fixed point theorems and Periodic point theorems in cone metric Spaces for T-contraction type mappings",Asian Journal of Mathematics and Computer Researh,7(1):38-48, 2016

  55. Dhanya Shajin, B. Lakshmy, and R. Manikandan,(2015)."On a two stage queueing-inventory system with rejection of customers",Neural, Parallel & Scientific Computations, ( 2015),23, 111-128

  56. A. Krishnamoorthy, R. Manikandan, and Dhanya Shajin,(2015)."Analysis of multi-server queueing-inventory system",Advances in Operations Research, (2015),vol. 2015, Article ID 747328.

  57. A. Krishnamoorthy, R. Manikandan & B. Lakshmy,(2015)."A revisit to queueing-inventory system with positive service time",Annals of Operations Research, (2015),233, pages221–236.

  58. Sherly George, Shaini P;,(2014)."Approximate fixed point theorems in generalized metric spaces,",Gulf Journal of Mathematics,2, 83-92

  59. A. Krishnamoorthy, R. Manikandan, and B. Lakshmi,(2014)."Production Inventory with Positive Service Time and Loss",Proceedings of the 18th Ramanujan Symposium On Recent Trends in Dynamical Systems & Math. Modelling,,Volume 18, 57-64

  60. K. Ali Akbar,(2013)."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.

  61. Sherly George, Shaini P,(2012)."On the Convergence of New Iterations with Errors for T-Zamfirescu Operators",Journal of Contemporary Applied Mathematics,2, 1-11

  62. S. Gnanavel, N. Barani Balan and K. Balachandran,(2012)."Identification of source terms in the Lotka-Volterra system",Journal of Inverse Ill-Posed Problems,20 , 287-312.

  63. Shaini P, Neeta Singh,(2011)."A new three-step iterative process for common fixed points of a finite family of Z-operators",Journal of Contemporary Applied Mathematics,1, 13-19

  64. K. Sakthivel, S. Gnanavel, N. Barani Balan and K. Balachandran,(2011)."Inverse problem for the reaction diffusion system by optimization method",Applied Mathematical Modelling,35 ,571-579.

  65. K. Ali Akbar, V. Kannan, I.S. Pillai, B. Sankararao.,(2011)."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.

  66. A. Krishnamoorthy, B. Lakshmy & R. Manikandan,(2011)."A survey on inventory models with positive service time",OPSEARCH, (2011),48(2):153-169.

  67. K. Ali Akbar, V. Kannan, I.S. Pillai, B. Sankararao.,(2010)."The set of periodic points of a toral automorphism",Journal of Mathematical Analysis and Applications,2010 Volume 366, Pages 367-371. Published by Elsevier.

  68. Shaini P, Neeta Singh,(2010)."Approximation of common fixed points for a finite family of Zamfirescu operators",General Mathematics,,Vol.18, 175-184

  69. Pulickakunnel, S.; Singh, N.,(2009)."On the convergence of three-step iterations in the class of zamfirescu operators",International Journal of Mathematical Analysis,Vol. 3, no. 25, 1245 - 1249

  70. K. Ali Akbar, V.Kannan, Sharan Gopal, P. Chiranjeevi,(2009)."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.

  71. Shaini P, Neeta Singh,(2008)."Fixed Point Theorems for Mappings Satisfying Interior Condition",Int. Journal of Math. Analysis,,Vol. 2, no. 1, 45 - 54

  72. ,()."Convergence theorems for a finite family of T- Zamfirescu operators", Functional analysis: Approximation and computation,5:2 (2013), 1–9

  73. ,()."A Review on measures to structural balance in social net-work-an Algebraic approach ",Springer Proceedings in Mathematics ,2021, to appear

  74. ,()."Signed Distance in Signed Graphs ",Linear Algebra and its Applications ,2021, Vol 608, Pages 236-247

  75. ,()."A graph modelling to measure the frustration index in signed networks",Italian Journal of Pure and Applied Mathematics ,2021 to appear

  76. ,()."Edge (m,k)- Choosability of Graphs",Discrete Mathematics, Algorithms and Applications (DMAA),2021, to appear

  77. ,()." Fixed Point theorems for T-Zamfirescu operators",Kragujevac Journal of Mathematics,, 2012, 36, 199-206

  78. ,()."Fixed Point theorems in normed linear spaces using a generalized Z-type condition", Kragujevac Journal of Mathematics,2012, 36 , 207-214,

  79. ,()."Approximate fixed point theorems for generalized T-contractions in metric spaces", Stud. Univ. Babe¸s-Bolyai Math.,2012, 57, 551–559

  80. ,()."Fixed point theorems for 1-set contractions ", General Mathematics, 2011, Vol.19, p.59–64

  81. ,()."Self-complementary circulant graphs",Ars Combinatoria,53 (1999), 187-191

  82. ,()."Some results on sum graphs",Journal of Combinatorics, Information and System Sciences ,26 (2001), 135-142

  83. ,()."Families of Graceful Banana Trees",IJOMAS (International Journal of Management and Systems),15 (1999), 275-286

  84. ,()."On Several New Contiguous Function Relations for k-Hypergeometric Function with Two Parameters",Communications of the Korean Mathematical Society,2017

  85. ,()."(a, d)-continuous monotonic subgraph decomposition of K_(n+1) and integral sum graphs G_(0,n)",Tamkang Journal of Mathematics,2015

  86. ,()."Families of Circulant Graphs without Cayley Isomorphism Property with m_i = 3",IOSR (International Organization of Scientific Research) Journal of Mathematics,2019

  87. ,()."A Study on (a, d)-antimagic graphs using partition",Journal of Combinatorial Mathematics And Combinatorial Computing,2011

  88. ,()."New Families of Circulant Graphs without Cayley Isomorphism Property with m_i = 2",International Journal of Applied and Computational Mathematics (IJACM) - Springer,6, 90 (2020), 34 pages

  89. ,()."A study on isomorphic properties of circulant graphs",Advances in Science, Technology and Engineering Systems Journal (ASTES) Journal,2 (6) (2017), 236-241

  90. ,()."Families of Circulant Graphs without Cayley Isomorphism Property with m_i = 7 ",Journal of Mathematics of IOSR (International Organization of Scientific Research) Journal of Mathem,12 (2016), 32 - 37

  91. ,()."Families of Circulant Graphs without Cayley Isomorphism Property with m_i = 5",Int. Journal of Scientific and Innovative Mathematical Research,3 (6) (2015), 39 - 47

  92. ,()."A Few More Properties of Sum and Integral Sum Graphs",Journal of the Indonesian Mathematical Society ,20 (2) (2014), 149 - 159

  93. ,()."Number of Cycles of Length Four in Sum Graphs G_n and Integral Sum Graphs G_{m,n} ",Int. Journal of Scientific and Innovative Mathematical Research,2 (4) (2014), 366 - 377

  94. ,()."More Properties of Sum Graphs",Graph Theory Notes of New York, Mathematical Association of America,66 (2014), 10-15

  95. ,()."A Theory of Cartesian Product and Factorization of Circulant Graphs (Provides a complete theory of Cartesian product and factorization of circulant graphs, similar to product and factorization of Natural numbers.)",Journal of Discrete Mathematics, Hindawi Publishing Corporation,Volume 2013, Article ID 163740, 10 pages

  96. ,()."Integral sum graphs and maximal integral sum graphs ",Graph Theory Notes of New York, Mathematical Association of America,63 (2012), 28-36

  97. ,()."Number of Triangles in Integral Sum Graphs G_{m,n}",Int. J of Algorithms, Computing and Mathematics,4 (2011), 16-24

  98. ,()."Banana Trees and Union of Stars are Integral Sum Graphs",Ars Combinatoria,102 (2011), 79-85

  99. ,()."Amalgamation of Integral sum graphs, Fan and Dutch m-windmill are integral sum graphs",Graph Theory Notes of New York, Mathematical Association of America,58 (2010), 51-54

  100. ,()."Odd Anti-magic and Odd (a, d)-antimagic graphs",IJ of Algorithms, Computing and Mathematics,3 (2010), 47-54

Department of Mathematics

To be one among the best mathematics departments in the country and to establish an international reputation as a centre for research and teaching in mathematics.

E-Learning
Mathematics Colloquium

Mathematics Colloquium

The Mathematics Colloquium-CUK (MCCUK) organising by the Department of Mathematics is an ongoing seminar series that features speakers from other institutes/universities and from our department. The talks are intended for a general (math/stat) audience and will be accessible to students without particular expertise in the specific areas of the topics discussed. Also, there will be ample time for free interaction and discussion among the participants.

The goal of MCCUK is to fostering continued discussion and networking in the various areas of mathematics. Thus the topics will cover all areas of mathematics and an interesting mix of topics ranging from very applied to more abstract in nature.

All interested faculty, postdocs and students are welcome and encouraged to attend. The colloquium are normally held once in every two week, usually on Tuesday at 4:10 p.m. in room 21 of Teaching block I.
N. B. : To accommodate outside speakers, the colloquium is occasionally held on different day/time of the week instead of Tuesday.

Coordinators: Manikandan Rangaswamy and Gnanavel Soundararajan

Mailing list: If you wish to be added to the MCCUK mailing list, please send a mail to the coordinators at:

mani[at]cukerala[dot]ac[dot]in or gnanavel[at]cukerala[dot]ac[dot]in
  • Title: Mathematics Colloquium - RIEMANN MAPPING THEOREM  
  • Speaker: Prof.R.Roopkumar, Professor,Central University Tamil Nadu,Thiruvarur
  • When:  January 27, 2023, @9.30 AM
  • Where:  Teaching Block-I
  • Title: Mathematics Colloquium - A FEW UNSOLVED PROBLEMS IN NUMBER THEORY 
  • Speaker: Prof.V.Vilfred, Professor,Central University of Kerala,Kasargod
  • When:  January 11, 2023, @ 1.45 PM
  • Where:  Teaching Block-I
  • Title: Mathematics Colloquium - ON DETERMINANTS
  • Speaker: Prof.Vellat Krishnakumar, Former Visiting Professor,KSoM, Kozhikode
  • When:  January 6, 2023, @ 9.30 AM
  • Where:  Teaching Block-I
  • Title: Mathematics Colloquium - TOPOLOGICAL DYNAMICS
  • Speaker: Dr Sharan Gpal, BITS Hyderabad
  • When:  January 3, 2023, @ 3.00 PM
  • Where:  Teaching Block-I
  1. Mathematics Colloquium - AN OVERVIEW OF SOME BASIC TOPOLOGICAL CONCEPTS
  • Speaker: Dr Sharan Gpal, BITS Hyderabad
  • When:  January 2, 2023, @ 3.00 PM
  • Where:  Teaching Block-I

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  1. Mathematics Colloquium - TYPE-2 ISOMORPHIC CIRCULANT GRAPHS OF ORDER np3 W.R.T. p AND THEIR ABELIAN GROUPS
  • Speaker: Prof. V. Vilfred (Central University of Kerala, India)
  • When:  December 8, 2022 @ 4.00 pm (IST)

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  1. Mathematics Colloquium - ENCOUNTERING IMMUNE SYSTEM AND INFLAMMATION IN EVERYDAY LIFE
  • Speaker: Dr. Hemavathi Ramaswami
  • When:  August 23, 2022 @ 11.00 AM (IST)
  • Where:  Room 21 Teaching Block-I

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  1. Mathematics Colloquium - NAVIER-STOKES EQUATIONS -THE MILLION DOLLAR PROBLEM
  • Speaker: Dr. Manil T. Mohan
  • When:  March 10, 2022 @ 4.00 PM (IST)
  • Where:  Online via Google Meet : meet.google.com/aet-fqrb-dzg

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  1. Mathematics Colloquium - Birational Classification of Algebraic Surfaces
  • Speaker: Dr. Sarbeswar Pal, IISER Thiruvanandapuram
  • When:  October 6, 2021 @ 2.00 PM (IST)
  • Where:  Online via Google Meet : meet.google.com/jvy-dpju-abk

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  1. Mathematics Colloquium : Differential Equations and Linear Algebra
  • Speaker: Dr. Sarath Sasi (IIT Palakkad)
  • When:  September 24,2021 @ 4.30 pm (IST)
  • Where:  Online via Google Meet : https://meet.google.com/jvy-dpju-abk

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  1. Mathematics Colloquium: Introduction to Inverse and III-posed Problems and its Applications
  • Speaker: Dr. Barani Natesan (Central University of Tamilnadu, India)
  • When:  August 13, 2021- 10.30 am (IST)
  • Where:  Online via Google Meet : https://meet.google.com/uvk-nfwc-bpy

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  1. The All-minors Matrix-tree Theorem for Oriented Hypergraphs
  • Speaker: Dr. Lucas Rusnak (Texas State University, USA)
  • When:  July 21, 2021- 09.00 am (IST)
  • Where:  Online via Google Meet

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  1. Invited talk on Congruent Numbers by Dr. U.K. Anandavardhanan, IIT Bombay on March 27, 2021
  • Title:  Congruent Numbers
  • Speaker:  Dr. U.K. Anandavardhanan (Bhatnagar Awardee 2020), IIT Bombay
  • When:  March 27, 2021- 11.30 am
  • Where:  Online via Google Meet

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  1. The Department of Mathematics has been organized the “International Web Conference on Signed Graphs and Allied Areas (ICSGAA-2020)” during December 07-09, 2020.
    N.B.: There will be NO Mathematics Colloquium in the month of December 2020.

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  • Title:  An introduction to Mysterium Cosmographicum (ONLINE)
  • Speaker:  Dr. Shaini P., Central University of Kerala
  • When:  Friday, May 29, 2020 - 11.00 am
  • Where:  Online via Google Meet
  1. The Department of Mathematics has been organized the “Workshop on Probability Theory and its Applications” during February 12-16, 2020.
    N.B.: There will be NO Mathematics Colloquium in the month of February 2020.

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  • Title: How do you Measure Uncertainty? Mathematics has an Answer!
  • Speaker: Dr. M. Ashok Kumar, Indian Institute of Technology, Palakkad
  • When: Friday, January 31, 2020 - 02:00 pm
  • Where: Room 21 of Teaching Block –I

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  • Title: Totally Disconnected Spaces
  • Speaker: Dr. Ali Akbar K, Central University of Kerala
  • When: Tuesday, January 28, 2020 - 03:00 pm
  • Where: Room 21 of Teaching Block –I

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  • Title: The Art and Craft of Mathematical Thinking
  • Speaker: Dr. Shahul Hameed K, KMM GWC
  • When: Friday, January 23, 2020 - 1:45 pm
  • Where: Room 21 of Teaching Block –I

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  • Title: Glimpses of Stochastic Differential Equations
  • Speaker: Dr. P. Muthukumar, The Gandhigram Rural Institute, Tamil Nadu
  • When: Friday, January 17, 2020 - 11:15 am
  • Where: Room 21 of Teaching Block –I

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  • Title: Career Opportunities in Mathematics
  • Speaker: Dr. Ali Akbar K, Central University of Kerala
  • When: Friday, January 07, 2020 - 04:10 pm
  • Where:  Room 21 of Teaching Block –I
  1. The Department of Mathematics has been organized an “Advanced Workshop-on Partial Differential Equations & Applications” during December 16-30, 2019.
    N.B.: There will be NO Mathematics Colloquium in the month of December 2019.

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  • Title: Topics in Spectral Theory
  • Speaker:  Prof. V. Krishnakumar, KSCSTE-KSOM
  • When: Tuesday, November 13, 2019 - 9:00 am
  • Where: Room 21 of Teaching Block –I

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  • Title: Countability of the Rationals
  • Speaker: Dr. Mailattu Kunhanandan, Goa University
  • When: Tuesday, November 12, 2019 - 2:00 pm
  • Where: Room 21 of Teaching Block –I

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  • Title: A Quick Introduction to Orthonormal Basis
  • Speaker: Dr. Kiran Kumar V B., CUSAT
  • When: Monday, October 28, 2019 - 11:30 am
  • Where: Room 21 of Teaching Block –I

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  • Title: A Passage to Harmonic Analysis from Madhava Series
  • Speaker: Dr. Easwaran Nambudiri T. C., GBC
  • When: Thursday, October 17, 2019 - 02:00 pm
  • Where: Room 21 of Teaching Block –I

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  • Title: Notion of Structural Balance in a Signed Network
  • Speaker: Dr. Germina K. A., CUK
  • When: Thursday, October 1, 2019 - 4:10 pm
  • Where: Room 21 of Teaching Block -I

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  • Title: Notion of Structural Balance in a Signed Network
  • Speaker: Dr. Germina K. A., CUK
  • When: Thursday, October 1, 2019 - 4:10 pm
  • Where: Room 21 of Teaching Block -I

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  • Title: Number Theory: Queen of Mathematics
  • Speaker:  Professor B R Shankar, NIT Karnataka
  • When: Wed, September 04, 2019 - 10:00 am
  • Where: Room 21 of Teaching block -I

Department of Mathematics

To be one among the best mathematics departments in the country and to establish an international reputation as a centre for research and teaching in mathematics.

E-Learning
SSS@MATH

The Student Seminar Series (SSS@MATH) is a new initiative by the Department of Mathematics for the ongoing/ alumni students of the department. It provides them with a unique opportunity and platform for learning, developing, and expressing their passion and love for mathematics.

It aims not only to develop their mathematics skills rather develop communication skills and fear-free mathematics learning. Thus, the SSS@MATH ensures the active participation of all our postgraduate students and research scholars through their presentations.

If you wish to give a talk to SSS@MATH,please contact to the student coordinator

Faculty Advisor:Manikandan Rangaswamy
Email:[email protected]
Student Coordinator:Tanmay Saha
Email:[email protected]

Department of Mathematics

To be one among the best mathematics departments in the country and to establish an international reputation as a centre for research and teaching in mathematics.

E-Learning
Math Club

Department of Mathematics

To be one among the best mathematics departments in the country and to establish an international reputation as a centre for research and teaching in mathematics.

E-Learning
Contact
Department of Mathematics
School of Physical Science
Tel Ph: 0467-2309402,
Email: hod[dot]maths[at]cukerala[dot]ac[dot]in