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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 .

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 :

10. Languages known : Tamil, English 11. Subjects Taught : UG Abstract Algebra, Complex Analysis, Statics, Dynamics, Probability and Statistics, Sequences and , 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)

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, 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 2 2 Interdisciplinary, Special 6(x  y ) 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 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 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 and Development, 3(4) International Journal of On the 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, “ x224 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 - 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 of the Journal of Engineering 2395-0056 Ternary Cubic equation 5.181 March 2017 3(x 2  y 2 )  4xy  and Technology, Volume 4, Issue 3 2(x  y 1)  972z 3 International Research Journal of Engineering 2395-0056 Observations on March 2017 5.181 and Technology, x 2  y 2  2z 2  62w2 Volume 4, Issue 3 International Research Observations on Ternary Journal of Engineering 2395-0056 March 2017 Quadratic equation 5.181 and Technology, z 2  82x2  y 2 Volume 4, Issue 3 International Journal of

Engineering and Observations on 6.171 March 2017 2395-0056 Technology, Volume 4, x 2  y 2  2z 2  62w2

Issue 3 International Journal of March 2017 2249-3905 Connection between 7.196 Research in Engineering Frustum of the Cone with and Applied Sciences, Jarasandha Numbers and Volume 7, Issue XI Some Special Numbers International Research March 2017 2395-0056 Observations on Ternary 5.181 Journal of Engineering Quadratic Equation and Technology, z2 = 82x2 + y2 Volume 4, Issue 3 International Journal of May-June 2456-1452 Observation on y2 = 6x2 + 1 5.34 Statistics and Applied 2017 Mathematics, Volume 2, Issue 3 International Journal for Aug 2017 2321-9653 Integral Solutions of the 6.887 Research in Applied Homogeneous Biquadratic Science & Engineering Diophantine Equation Technology, Volume 5, 3(x 4  y 4 )  2xy(x 2  y 2 )

Issue VIII  972 (z  w) p 3 International Journal for Aug 2017 2321-0613 Integral Solutions of the 4.396 Scientific Research & Homogeneous Quintic Development, Volume 5, Diophantine Equation Issue 7 x5  y 5  x 2 y 2 (x  y)

 972 (x  y)(z  w)2 p 2 International Journal for September 2321-9653 Pythagorean Triangle with 6.887 Research in Applied 2017 Area/Perimeter as a 4-digit Science and Engineering Consecutive Sphenic Technology, Volume 5, Number Issue IX International Journal for Nov 2017 2321-9653 Evaluating Pyramidal 6.887 Research in Applied Numbers and Pentatope Science & Engineering Number Using Initial Technology, Volume 5, Value Theorem in Z- Issue XI Transform International Research Nov -2017 2395-0056 On the Exponential 6.171 Journal of Engineering Diophantine Equation and Technology 36 x + 3y = z2 (IRJET), Volume 04, Issue 11 International Journal for Nov -2017 2321-9653 Construction of Special 6.887 Research in Applied Dio 3-Tuples Science & Engineering CC from n  II Technology (IJRASET), Gno Volume 5, Issue 11 n

International Journal for November 2321-9653 Special Dio 3-tuples for 6.887 Research in Applied 2017 -I Science and Engineering Technology, Volume 5, Issue X International Journal of November 2455-4227 Special Dio 3-tuples for 5.12 Advanced Science and 2017 Pronic Number-II Research, Volume 2, Issue 6

International Journal of November- 2456-1452 A Novel Approach of 5.34 Statistics and Applied December determining Stella Mathematics, Volume 2, 2017 Octangula number and Issue 6 Pronic number using initial Value theorem in Z - Transform Journal of Mathematics December 2349-0640 Construction of the 1.627 and Informatics, Volume 2017 Diophantine triple 10, Special Issue involving Stella Octangula number International Journal of Dec -2017 2456-1452 Construction of Gaussian 5.34 Statistics and Applied Diophantine triples with Mathematics(ijsam), the property D (25) Volume 2, Issue 6 Journal of Mathematics Special 2349-0632 Connections between 1.627 and Informatics(jmi), Issue, Cylinder, Frustum of a Volume 10 Dec -2017 Cone with Truncated Octahedral Number and Other Special Numbers Journal of Mathematics Dec 2017 2349-0632 Special Dio 3-tuples for 1.627 and Informatics, Vol 11, Special Issue

International Journal of Research in applied Pythagorean Triangle with Science and Dec 2017 2321-9653 6.887 Area/Perimeter as a Engineering, of digits Technology, Volume 5, 4, 5 & .6 Issue 12

International Journal of Research in applied January On Ternary quadratic Science and 2321-9653 6.887 2018 diophantine equation Engineering, 15x 2 15y 2  24xy  438z 2 Technology, Volume 6, Issue 1 International Journal for January 2321-9653 Construction of the 6.887 Research in Applied 2018 Diophantine triple Science and Engineering involving Pronic number Technology, Volume 6, Issue I International Journal for March 2018 2321-9653 Construction of The 6.887 Research in Applied Diophantine Triple Science & Engineering involving Pentatope Technology, Volume 6, Number Issue III International Journal for April 2018 2395-1052 Half companion sequences 5.388 Science and Advance CC n of Dio 3-tuples from Research in Gnon Technology(ijsart), Volume 4, Issue 4 International Journal for May 2018 2321-9653 Explication of dio 3-tuples 6.887 Research in Applied from truncated octahedral Science & Engineering number-1 Technology, volume 6, Issue V International Journal for May 2018 2395-1052 Explication of dio 3-tuples 5.388 Science and Advance from truncated octahedral Research in number-11 Technology(ijsart), Volume 4, Issue 5 International Journal of Special dio 3-tuples-II for Research and Analytic July 2018 2348-1269 5.75 star numbers Reviews, Volume 5, Issue 3 International Journal of An Integral Solutions of Computer Sciences and Negative Pell’s equation Engineering July 2018 2347-2693 3.022 involving two digit Sphenic Vol 6, Issue 7 numbers

Aryabhatta Journal of July-Dec 0975-7139 Tracing of Polygonal 5.856 Mathematics & 2018 Number from Pyramidal Informatics, Vol 10, No Number and Pentatope 2 Number Division Algorithm International Journal of

Management, IT & Dio 3-tuples for star Aug 2018 2249-0558 Engineering, Volume 8 numbers 7.119

Issue 08(1) International journal of Oct-Dec 2279-0543 Allegory of lateral surface 6.946 scientific research and 2018 area of a with a reviews(ijsrr), special number Volume 7, Issue 4 International Journal of Nov 2018 2349-5138 Sums of Squares of 5.75 Research and Analytical Pyramidal Numbers Reviews, Volume 5, Issue 4 International Journal of Jan 2019 2349-5138 Integer Triples comprising 5.75 Research and Analytical of Jarasandha Numbers in Reviews, Volume 6, Arithmetic Progression & Issue 1 Geometric Progression

International Journal of Feb 2019 2348-4519 Solutions of Pell‘s 1.021 Scientific Research in Equation involving Mathematical and Jarasandha Numbers Statistical Sciences, Volume 6, Issue 1

International Journal of On the integer solutions of Research and Analytical March 2019 the homogeneous 5.75 Reviews, Volume 6, 2348-1269 Biquadratic Diophantine Issue 1 equation x4  y4 145(z2  w2)p2 International Journal of Observations on Ternary Research and Analytical March 2019 quadratic Diophantine 5.75 Reviews, Volume 6, 2348-1269 equation Issue 1 9(x2  y2) 17xy  5x  5y  25  51z2

International Journal of March 2019 Research and Analytical 2348-1269 On the integral solutions of 5.75 Reviews, Volume 6, pell equation x2 10y2 9T Issue 1 International Journal of Research and Analytical March 2019 Integral solutions of the 5.75 2348-1269 Reviews, Volume 6, Ternary cubic equation

Issue 1 4(x2  y2)  7xy  x  y 1 40z3

International Journal of Construction of Gaussian June 2019 2348-1269 5.75 Research and Analytical Diophantine Quadruple Reviews with Property D (16) Vol 6, Issue 2 Aryabhatta Journal of July-Dec 0975-7139 Correlation between 5.856 Mathematics & 2019 Pyramidal Numbers Informatics, Vol 11, No. 2 ADALYA Journal (UGC Elevation of Stella CARE LIST ‘II’ & WEB Octangula number as a August 1301 - OF SCIENCE), Volume Special Dio 3-tuples and 5.3 10, Issue 8 2019 2746 the non-extendability of Special Dio quadruple Compliance Engineering Aug 2019 0898-3577 Relation Between Lateral 6.1 journal (UGC CARE Surface Area of a Cube & LIST ‘II’), Volume 10, Pyramidal Numbers Issue 8 ADALYA Journal (UGC Aug 2019 1301-2746 Special Dio-Quadruples 5.3 CARE LIST ‘II’ & WEB comprising of Centered OF SCIENCE), Volume 10, Issue 8 Square numbers with property D(2) International Journal for Aug 2019 2395-1052 Gaussian Diophantine 5.888 Science and Advance Quadruples involving Research in Technology, Gnomonic numbers with Volume 5, Issue 8 property D(4) Compliance Engineering Ascertainment On The (UGC CARE Exponential Journal Aug 2019 0898-3577 6.1 LIST ‘II’), Equation Vol- 10, Issue-08. p3c - a( p2c - pb )  pbc ADALYA Journal (UGC Explication Of The CARE LIST ‘II’ & WEB Transcendental OF SCIENCE), Volume SEP 2019 Equation 10, Issue 8 1301-2746 5.3 p  p3  q3  pq  3 r 2  s2

 (m2  1)t3 International Journal of Sep 2019 2277-3878 Half Companion sequences 5.92 Recent Technology and of special Dio 3-tuples Engineering (UGC involving Centered square CARE LIST ‘II’ & numbers SCOPUS INDEXED),Volume 8, Issue 3 Adalya Journal, Volume October Special Dio 3-tuples for 1301-2746 5.3 8, Issue 10 2019 Hex number International Journal of Ananlytical and October Special Dio 3-tuples II for Experimental Modal 0886-9367 6.3 2019 Hex number Analysis, Volume 11, Issue 10 INFOKARA Journal Formation Of Special Dio- 5.3 (UGC CARE LIST ‘II’), 1021-9056 Quadruple Volume 8, Issue 12 Dec 2019 Involving Pronic Number With Property D(5) Compliance Engineering Observation On journal (UGC CARE Remarkable Diophantine 6.1 LIST ‘II’), Volume 10, Dec 2019 0898-3577 Equation Issue 12 International Journal of Dec 2019 2348-4519 Appraisal of the Sum of the 1.021 Scientific Research in Polygonal Numbers of Mathematical and Even Order from Stella Statistical sciences, Octangula Number and Volume 6, Issue 6 Pronic Number Using the Division Algorithm International Journal for Observation on y2 = 11x2 + 5.888 Science and Advance 2395-1052 1 Research in Technology Dec 2019 , Volume 5 Issue 12 International Journal of Dec 2019 2348-4519 Some Non-Extendable 1.021 Scientific Research in Diophantine Triples Mathematical and involving Centered square Statistical sciences, numbers Volume 6, Issue 6 Journal of Scientific December Integral solutions of Computing, Volume 8, 1524-2560 6.1 2019 x 2  y 2 7x 2  7y 2 13xy  2z 2  w2 t 2 , Issue 12 Gaussian quadruples Infokara Journal(UGC involving , CARE LIST ‘II’), Jan 2020 1021-9056 5.3 Stella octangula number Vol-9 , Issue-1 and pronic number Parishodh Journal, Feb 2020 2347 - Connection between 6.3 Volume IX, Issue II 6648 special Pythagorean triangles and 2-digit sphenic numbers INFOKARA Journal Feb 2020 1021-9056 Some Non-Extendable 5.3 (UGC CARE LIST ‘II’), Special Dio- Triples Volume 9, Issue 2 involving Pentatope numbers PARISHODH Journal Feb 2020 2347-6648 On Generalized Fermat 6.3 (UGC CARE LIST ‘I’), Equations involving Volume XI, Issue II Jarasandha Numbers

Parishodh Journal Feb 2020 Dio 3-tuples for centered 2347- 6.3 Volume 9, Issue 2 6648 square

International Journal of Mar 2020 2454-9312 Integral solutions of the 1.021 Scientific Research in non-homogeneous Sextic Multidisciplinary equation with Three unknowns Studies, Volume 6, Issue 6 3(x 2  y 2 )  2xy 

972z 6 Parishodh Journal, Mar Ascertainment on the Vol ix, No.3,pp.7911-7919 2347- integral solutions of the 6.3

2020 6648 Biquadratic Diophantine Equation m 4- n 4 = 4(u 2 +1)(r - s)t3

Journal of Xidian Apr-2020 1001-2400 Continued Fractions of 5.4 University, Volume 14, Proportions of Consecutive Issue 4 Pyramidal Numbers

International Journal of Apr-2020 2348-4519 Observations on the Binary 1.021 Scientific Research in Quadratic Diophantine Mathematical and Equation x2-2xy- Statistical sciences, y2+2x+14y=72 Volume 7, Issue 2

Aryabhatta Journal of Jan-June 0975-7139 Ramanujan-Type 5.856 Mathematics & 2020 Diophantine Equation Informatics, Volume 12, Involving Jarasandha No.1 Numbers Aryabhatta Journal of Jan – June 0975-7139 On some Non-Extendable 5.856 Mathematics and 2020 Gaussian Triples involving Informatics, Vol 12, Mersenne and Gnomonic No.1,pp.81-84 number. Infokara Journal Gaussian triples with June 1021- 5.3 Volume 9, Issue 6 2020 9056 the property D(36) Sambodhi Oct – Dec 2249 - Construction of - 2020 6661 Gaussian Diophantine quadruples with property D(16k2) Sambodhi Journal, Vol Oct- Dec Generation of Special 2246- 43, No.4,pp. 91-94 2020 Diophantine Quadruples 5.80 6661 with the property D (2) Kala: The Journal of Dec 2020 0975 - Heptagonal Number - Indian Art History 7945 and Pythagorean Congress Triangles Kala –The journal of Jan 2021 Diophantine Equations on Indian Art History 0975- Chemical Reactions 6.125 7945 Congress, Vol 26, No.2(XXVII),pp. 191-194 Turkish journal of On Interesting integer computer and mathematics April 3172- - triple Education 2021 3173 Vol 12, No. 9 Turkish journal of Applications of computer and mathematics April 3175- - Diophantine equations Education 2021 3178 Vol 12, No. 7 in chemical reactions and cryptography

14. Details of Papers Presented: Organizer Name of the Date Paper Name Seminar 16.02.2007 Theivanai Ammal College Applications in Observations on for Women Analysis X 2  8 2 Y 2 23.02.2007 Shrimathi Indira Gandhi Emerging Trends of A Remarkable & College For Women Mathematical Pythagorean Problem 24.02.2007 Techniques and their applications in Computer Science 22.03.2007 Periyar E.V.R.College Application of Pythagorean Triangle & Mathematics with perimeter as a 23.03.2007 Nasty number 27.09.2007 Thiagarajar College of Discrete Mathematics Pythagorean Triangle To Engineering And Its Applications and Nasty number 29.09.2007 28.03.2008 Government Arts College Recent Pythagorean Triangle & for Women Developments in with Nasty number as a 29.03.2008 Mathematics and its leg Applications 20.12.2008 SASTRA University Number Theory and Pythagorean Triangle To Modular Forms with Area/Perimeter as 22.12.2008 a special polygonal number UGC Sponsored Jamal Mohammed International 24th, College(Autonomous),Accr Conference on Integral Solutions of 25thJuly- edited at ‘A’ Grade by Mathematical x2  y2  z2  4 2009 NAAC,Tichy-620 020. Methods and Computation UGC Sponsored Kunthavai Naachiyar National Conference Govt., Arts College for on Advances in 31st Aug Women(Autonomous), Mathematics: Integral Solutions of and 1st Sep- Nationally Reaccredited Scientific xy  x  y 1  z2  w2 2009 with grade B+, Thanjavur- Development and 613 007. Engineering Applications, UGC National College, Sponsored National Nationally Accredited at A Observations on 4th & 5th Seminar on level by NAAC, Trichy- x3  y3  z3  Dec 2009 Applications of 620 001. (x  y  z)w4 Algebra and

Number Theory Jamal Mohammed UGC Sponsored One College(Autonomous) day National Level 9th Observations on Accredited at A Grade by Seminar on Graph March,2010 xy  x  y 1  kz2 NAAC, Theory, Algorithms Trichy-620 020 and Modeling 28th and 29th Government Arts College National Conference Integral solutions of January for Women(Autonomous), on Recent Advances Quintic equation with 2011 Accredited by B++ by in Pure and Applied five unknowns NAAC, Pudukkottai-622 Mathematics, x4  y4  z3 ( p2  q2 ) 001.

Jamal Mohammed International On the Ternary 13-14 College(Autonomous) Conference on Quadratic Diophantine February, Accredited at A Grade by Mathematical Equation 2014 NAAC, Methods and 6(x2  y 2 ) 11xy  2(x  y)  4  27z 2

Trichy-620 020. Computation

15. Details of Seminars / Conferences / Workshops Attended: Year & Organizer Title National / Topic Date International 16.02.2007 Theivanai Ammal Applications in National Observations College for Women Analysis on X 2  8 2 Y 2 23.02.2007 Shrimathi Indira Emerging Trends of National A Remarkable & Gandhi College Mathematical Pythagorean 24.02.2007 Techniques and their Problem applications in Computer Science

22.03.2007 Periyar Application of National Pythagorean & E.V.R.College Mathematics Triangle with 23.03.2007 perimeter as a Nasty number

27.09.2007 Thiagarajar College Discrete Mathematics State Level Pythagorean To of Engineering And Its Applications Triangle and 29.09.2007 Nasty number 28.03.2008 Government Arts Recent Developments International Pythagorean & College for Women in Mathematics and its Triangle with 29.03.2008 Applications Nasty number as a leg

20.12.2008 SASTRA University Number Theory and National Pythagorean To Modular Forms Triangle with 22.12.2008 Area/Perimeter as a special polygonal number 24th, 25th Jamal Mohammed UGC Sponsored National July-2009 College(Autonomou International s),Accredited at ‘A’ Conference on Integral Grade by NAAC Mathematical Solutions of Methods and x2  y2  z2  4 Computation

31st Aug Kunthavai UGC Sponsored National and 1st Sep Naachiyar Govt., National Conference 2009 Arts College for on Advances in Integral Women Mathematics: Solutions of (Autonomous), Scientific xy  x  y 1  z2  w2 Nationally Development and Reaccredited with Engineering grade B+ Applications

3rd and 4th Cauvery College for Two Day State Level State Level - April-2009 Women, Nationally Workshop on SPSS Accredited with A Package Grade by NAAC 4th & 5th National College, UGC Sponsored International December Nationally National Seminar on Observations 3 3 3 2009 Accredited at A Applications of on x  y  z  level by NAAC Algebra and Number (x  y  z)w4 Theory 9th Mar- Jamal Mohammed UGC Sponsored One National 2010 College day National Level Observations (Autonomous) Seminar on Graph on Accredited at A Theory, Algorithms xy  x  y 1  kz2 Grade by NAAC and Modeling 20.12.2010 The PG and Seminar on National To Research Mathematics and its 22.12.2010 Department of Applications - Mathematics, Shrimati Indira Gandhi College 28th and Government Arts National Conference National Integral 29th College for Women on Recent Advances solutions of January (Autonomous), in Pure and Applied Quintic 2011 Accredited by B++ Mathematics equation with by NAAC five unknowns x4  y4  z3 ( p2  q2 ) 4.4.2011 Department of State level Workshop State Level - Mathematics, on MATLAB Cauvery College For Organized Women(Nationally Re-accredited with ‘A’ Grade by NAAC, 13-14 Jamal Mohammed International International On the Ternary February, College(Autonomou Conference on Quadratic 2014 s), Accredited at ‘A’ Mathematical Diophantine Grade by NAAC Methods and Equation Computation 6(x2  y 2 ) 11xy  2(x  y)  4  27z 2

19. Details of Chairing as Resource Person: Date Title of the Seminar/Conference Session Chaired 2016 National Conference on Modern National Conference Trends

2017 National College Research Journal Member of the Editorial Board

21. Details of Incharge / Participation in Extracurricular Activities : ( NSS, NCC, Sports, Games, Voluntary Association and Cultural Activities): Nature of Activity Period of Incharge BOMAC club In charge 2009-2011 Sports In charge 2006 - 2008

22. Details of Participation in Consultancy, Training, Development etc..: - 1. Consultancy- Microsoft - Certified Microsoft Innovative Educator 2. Consultancy- Microsoft - Getting started with one Note

27. Any other information if any:

Examinership & Question Paper Setter

External Examiner-M.Phil Viva-voce Question Paper Setter University / Autonomous Colleges University / Autonomous Colleges 1.Srimati Indira Gandhi College 1.Gobi Arts and Science College- 2. National College Gobichettipalayam 3. St.Joseph’s College 2.Selvam Arts and Science College- 4.Periyar E.V.R.College Namakkal 5. Urumu Dhanalakshmi College 3.Jamal Mohamed College-Trichy 6. Modern Arts and Science College, 4.D.K.M.College for Women-Vellore Jeyankondam 5.PSG College of Arts and Science- Coimbatore 7. Government Arts College, Thuvakkudi 6.A.V.C.College-Nagappattinam 7.Arulmigu Palaniandavar Arts College for Women-Palani 8.Dr.SNS Rajalakshmi College of Arts and Science- Coimbatore 9. E.M.G.Yadava Women’s College- Madurai 10.St.Joseph’s College- Trichy 11.Poompuhar College- Nagappattinam 12.Theivanai Ammal College for Women- Villupuram 13.Sri Krishna Arts and Science College- Coimbatore 14. Annamalai University, Chithambaram 15. G.T.N. Arts College, Dindigul 16. Mahendra Arts and Science College, Namakkal 17. Nehru Arts and Science College, Coimbatore 18. KN Govt. Arts College for Women, Thanjavur 19. Vivekananda Arts and Science College, Namakkal 20. Srimad Andavan Arts & Science College,Trichy 21. Periyar E.V.R.College, Trichy 22. M.O.C.Vaishnava College, Chennai 23. PKR Arts College for Women, Gobichettipalayam

Ph.D Doctoral Committee Member

Student Name and S.No Name of The Instituition Subject Year Research Guide Srimati Indira Gandhi College Ms.K.Lakshmi and 1 Number Theory 2012 (Part Time) Dr.S.Vidhyalakshmi Srimati Indira Gandhi College Ms.S.Mallika and 2 Number Theory 2012 (Part Time) Dr.M.A.Gopalan Srimati Indira Gandhi College Ms.V.Geetha and 3 Number Theory 2013 (Part Time) Dr.M.A.Gopalan National College Ms.V.Sangeetha and 4 Number Theory 2013 (Part Time) Dr.Manju Somanath Srimati Indira Gandhi College Ms.N.Thiruniraiselvi 5 Number Theory 2014 (Full Time) and Dr.M.A.Gopalan Srimad Andavan Arts & Science Ms.M.S.Ponmudi and 6 College Algebra 2015 Dr.A.Rameshkumar (Part Time) Urumu Dhanalakshmi College Ms.P.Sivakamasundari 7 (Part Time) Number Theory 2015 and Dr.V.Pandichelvi

Urumu Dhanalakshmi College Mr.R.Livingston and Functional 8 2016 (Full Time) Dr.R.Krishnakumar Analysis Mr.Nagaral Pandit Urumu Dhanalakshmi College Functional 9 Sanatammappa and 2016 (Part Time) Analysis Dr.R.Krishnakumar National College Mr.J.Kannan and 10 Number Theory 2016 (Full Time) Dr.Manju Somanath Govt. Arts College, Tiruchy Mr.T.Ragunathan and 11 Number Theory 2017 (Part Time) Dr.G.Srividhya Cauvery College for Women Ms.L.Mahalakshmi and 12 Fuzzy Theory 2017 (Part Time) Dr.K.Kalaiarasi Cauvery College for Women Ms.P.Geethanjali and 13 Fuzzy Theory 2017 (Part Time) Dr.K.Kalaiarasi Cauvery College for Women Ms.R.Divya and 14 Fuzzy Theory 2018 (Part Time) Dr.K.Kalaiarasi Urumu Dhanalakshmi College Ms.P.Santhiya and 15 Number Theory 2019 (Part Time) Dr.V.Pandichelvi Urumu Dhanalakshmi College Ms.R.Vanaja 16 Number Theory 2020 (Part Time) Dr.V.Pandichelvi

Research & M.Phil Project Guidance

Title of M.Phil Year of S.No Name & Reg.No. the University / Ph.D Submission Thesis R.Radha Thesis Bharathidasan 1 31191/Ph.D- Ph.D - Submitted University K3/Mathematics/Part time/Oct 2015 S.Vidhya Thesis 31192/Ph.D- Bharathidasan 2 Ph.D Submitted - K3/Mathematics/Part time/Oct University 2015 C.Saranya Thesis 043344/Ph.D- Bharathidasan 3 Ph.D Submitted - K3/Mathematics/Part time/Jan University 2016 P.Saranya Thesis 043345/Ph.D- Bharathidasan 4 Ph.D Submitted - K3/Mathematics/Part time/Jan University 2016