CAUVERY COLLEGE FOR WOMEN (AUTONOMOUS) STAFF PROFILE PERSONAL INFORMATION 1. Name : JANAKI.G 2. Date of Birth : 30.05.1970 3. Address : Residential Office RK Manor, Cauvery College for Women(Autonomous), B2, II Floor, SBO Colony, Annamalai Nagar, Lawson’s Road, Cantonment, Tiruchirappalli-620018 Trichy-620 001 E-Mail: [email protected] Mobile:9443625112 4. PAN Number : AJLPJ3380L 5. Aadhar Card Number : 9431 7125 1406 ACADEMIC INFORMATION 6. Designation & Department: Associate Professor, Department of Mathematics. 7. Educational Qualification : Degree Year College/University Ph.D., 2011 National College, Trichy. M.Phil., 1995 St.Joseph College, Trichy. M.Sc., 1993 Seethalakshmi Ramaswami College, Trichy. B.Sc., 1991 Seethalakshmi Ramaswami College, Trichy. 8. Experience : Date of Joining Institution Year of Experience 28.11.2003 Cauvery College for Women 17 Years 8 Months 9. Areas of Specialization : Number Theory 10. Languages known : Tamil, English 11. Subjects Taught : UG Abstract Algebra, Complex Analysis, Statics, Dynamics, Probability and Statistics, Sequences and Series, Differential Equations and Laplace Transforms, Integral Calculus and Analytical Geometry of 3D, Practical Statistics, Numerical Methods, Operations Research, Number Theory, Algebra and Calculus, Biostatistics, Algebra, Analytical Geometry of 3D and Trigonometry PG Topology, Functional Analysis, Optimization Techniques, Discrete Mathematics, Integral equations, Calculus of Variations and Fourier Transforms, Classical Dynamics, Ordinary Differential Equations, Partial Differential Equations, Algebraic Number Theory 12. Research Supervision: Thesis University from where Completed Year of Pursuing guideship obtained (in numbers) Completion (in numbers) M.Phil Bharathidasan University Ph.D Bharathidasan - - 04 University 13. Details of Publications: Year of ISSN Impact Journal Name & Volume Name of the Paper Publication Number Factor Acta Ciencia Indica, 2007 0970-0455 A Remarkable Pythagorean - XXXIIIM(4) Problem Acta Ciencia Indica, 2008 0970-0455 Observation on - XXXIVM(2) Y 2 3X 2 1 Impact Journal of 2008 0973-8290 Integral solutions of - Science and Technology Ternary Quadratic equation x2 y2 xy z2 Bulletin of Pure and 2008 0970-6577 Pythagorean triangle with - Applied Sciences, Area/Perimeter as a special 27(E)(2) polygonal number Antarctica J. 2008 0972-8643 Pythagorean Triangle with - Math., 5(2) perimeter as Pentogonal number Journal of Applied 2008 0973-3884 Pythagorean Triangle with - Mathematical Analysis Nasty number as a leg and Applications (Serial Publications), (4)1-2 Impact Journal of 2008 0973-8290 Pythagorean Triangle and - Science and Technology, Nasty number 2(1) Impact Journal of 2008 0973-8290 Integral solutions of - Science and Technology, Ternary Quadratic equation 2(2) x 2 y 2 z 2 4 Impact Journal of 2008 0973-8290 Observations on - Science and Tchnology, x2 y2 x y 2(3) xy 2 Impact Journal of 2008 0973-8290 Pythagorean Triangle with - Science and Technology, Pentagonal number as 2(4) Perimeter Cauvery Research July 2008 Observations on - Journal, 2(1) 2(x2 y2 ) 4xy (k 2 4k 4)z3 Impact J.Sci.Tech,, 3(3) 2009 0973-8290 On Pairs of Rectangles - Proceedings of the 2009 ISBN: Integral Solutions of - International Conference 978-81- x2 y2 z2 4 on Mathematical 8424-466- Methods and 3 Computation, Jamal Mohammed College (Autononous), Tiruchirappalli, India Acta Ciencia Indica, 2009 Observation on - 0970-0455 Vol. XXXV M(2) 2(x2 y 2 ) 4xy z 4 2010 0973-8290 Integral Solutions of - Impact J.Sci.Tech.,, 4 (x 2 y 2 )(3x 2 3y 2 2xy) 2(z 2 w2 ) p3 Antarctica J. 2010 0972-8643 Integral Solution of - Math., 7(1) x 2 y 2 xy (m 2 5n 2 )z 3 Antarctica J. 2010 0972-8643 Observations on - Math., 7(2) 3(x2 y2) 9xy z4 Antarctica J. 2010 0972-8643 Integral Solutions of - Math., 7(1) xy x y 1 z2 w2 2010 0972-8643 Integral solutions of - Impact J.Sci.Tech., 4 (x2 y2)(3x2 3y2 2xy) 2(z2 w2) p3 Archimedes - Observations on - 2011 J.Math., 1(2) xy x y 1 kz2 Reflections des ERA, 0973-4597 Pythagorean triangles with - 2011 6(4) Perimeter as a Nasty number Jamal Academic 2011 0973-0303 On the Ternary Quadratic - Research Journal: An Diophantine equation Interdisciplinary, Special 6(x2 y2) 11xy 2(x y) 4 Issue 27z2 International Journal of Engineering Research- Rectangle with Area as a Online, Jan-Feb, special polygonal number 2321-7758 A Peer Reviewed 2016 3.601 International Journal, 4(1) International Journal of Integral Solutions Science and 2016 2319-7064 5.611 of 4w2 x2 y2 z2 t2 Research(IJSR), 5(1) International Journal for Research in Applied Special pairs of rectangles Science and Feb-2016 2321-9653 5.011 and sphenic number Engineering Technology (IJRASET), 4(II) International Journal of Special Pythagorean Innovative Research in March 2319-8753 triangles and 6-digit 5.442 Science, Engineering 2016. Harshad numbers and Technology, 5(2) Jamal Academic Pythagorean triangle with Research Journal: An February - 0973-0303 Heptagonal number as Interdisciplinary Special 2016 Perimeter Issue Observations On Ternary Jamal Academic Quadratic Equation - Research Journal: An February 0973-0303 5x2 7y2 972z2 Interdisciplinary Special 2016 Issue American International December, Special pairs of Journal of Research in 2015- 2328-3491 Pythagorean Triangles and Science, Technology, 5.01 Febuary, Jarasandha Engineering and 2016 Numbers Mathematics, 13(2) International Journal of On the Ternary Quadratic 2454-1362 3.75 Interdisciplinary 2016 Diophantine Equation Research(IJIR), 2(3) 5(x2 y2 ) 6xy 4z 2 Observations on Ternary International Journal Quadratic Diophantine of Innovative Research 2347-6710 February Equation 5.442 in Science, Engineering 2016 6(x2 y2 ) 11xy 3x 3y 9 72z2 and Technology,5(2) International Journal for Research in Applied Special pairs of Rectangle February- Science 2321-9653 and Sphenic 5.011 2016 and Engineering number Technology, 4(2) International Journal of Connection between 2349-4182 Multidisciplinary special Pythagorean March 2016 5.72 Research and triangles and Jarasandha Development, 3(3) numbers International Journal of On the Ternary Cubic Science and Research March 2016 Diophantine Equation 5.611 (IJSR), 5(3) 2319-7064 5(x2 y2) 6xy 4(x y) 4 40z3 Bulletin of Mathematics and Statistics Research(A April-June, 2348-0580 Special Rectangles and 4.495 Peer Reviewed 2016 Jarasandha Numbers International Research Journal), 4(2) International Journal of 2349-4182 Special pairs of Multidisciplinary April 2016 Pythagorean triangles and 5.72 Research Narcissistic number and Development, 3(4) International Journal of On the integer solutions of Science, Engineering 2394-4099 April 2016 the pell equation 3.7 and x2 79 y2 9k Technology, 2(2) International Journal of On the integer solutions of Multidisciplinary 2349-4182 May 2016 the pell equation 5.72 Research and x2 20 y2 4t Development, 3(5) Asian Journal of 0976-3376 Special pairs of Rectangles 5.544 Science and Technology, May 2016 and Jarasandha numbers 7(5) Integral solutions of the non-homogeneous heptic equation with five International Journal of unknowns 2321-3361 Engineering, Science 3 3 2 2 5.611 May-2016 5(x y ) 7(x y ) and Computing, 6(5) 4(z3 w3 3wz xy 1) 972 p7 On the integer solutions of International Journal of 2321-3361 the homogeneous bi- Engineering, Science 5.611 June-2016 quadratic Diophantine and Computing, 6(6) equation x4 y4 82(z 2 w2 ) p2 American International Journal of Research in Special pairs Pythagorean June- 2328-3580 Science, Technology, triangles and 2-digits 5.01 August- Engineering and sphenic numbers 2016 Mathematics, 15(1) International Research Pythagorean Triangle with 2395-0056 Journal of Engineering Area/Perimeter as a 4.45 July-2016 and Technology, 3(7) Jarasandha Number of order 2 &4 American International Journal of Research in Special Pythagorean Science, Technology, March- 2328-3580 Triangles in Connection 5.01 Engineering and May, 2016 with the Narcissistic Mathematics, Volume 2, Numbers of Order 3 and 4 Issue14, International Journal of Engineering Science and Observations on May 2016 2321-3361 computing, Volume 6, “ x224 xy y 22 x 0 ” 5.611 Issue 5 International Journal For Research in Applied Special Rectangles and 2321-9653 Science and Engineering June 2016 Narcissistic Numbers of 5.011 Technology, Volume 4, Order 3 and 4 Issue VI Universal Journal of Observations on Truncated Mathematics, Volume 3, June 2016 2456-1312 - Octahedral Number Issue 3 International Research Special pairs of rectangles Journal of Engineering August 2395-0056 and Narcissistic numbers of 4.45 and Technology, 2016 order 3 and 4 Volume 3, Issue 8 Asian Journal of Science Special pairs of August and Technology , 0976-3376 Pythagorean triangles and 2016 6.351 Volume 7, Issue 8 Harshad numbers International Journal of Nov 2016 2394-5869 On the negative Pell 5.2 Applied Research, equation y2 = 21x2 – 3 Volume 2, Issue 11 International Journal of Nov 2016 2455-4197 Special pairs of 5.22 Academic Research and Pythagorean triangles and Development, Volume 1, 3-digit consecutive sphenic Issue 11 numbers International Journal of Jan 2017 2455-4030 Construction of Special 5.24 Advanced Research and Dio 3-Tuples from Development(ijard), CCn Volume 2, Issue 6 I Gnon International Journal of On the Quinitic Non- Engineering Science and February 2321-3361 Homogeneous Diophantine 5.611 Computing, Volume 7, 2017 Equation Issue 2 x4 y4 40(z2 w2)p3 International Research Integral solutions