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01NameDr. VANITHA A.
02DesignationAssistant Professor  
03Department  PG Department of Mathematics
04Qualification  M. Sc., Ph. D.Specialization: Number Theory and Special Functions
05KSET/NET/PhDPh. D.
06Contact Number       Department (Intercom)  Mobile 9241345455Alt. Number 9845379693
07email ID[email protected], [email protected]  
08Experience (no. of years)Teaching 8 yearsResearch 8 yearsWork Experience 8 years
09Details of seminars/conferences/workshops attended
 Sl. No.Conferences/Seminars /WorkshopsName of the Institute/UniversityDate & Duration
 01National Conference on Functional Analysis and its applicationsDepartment of Mathematics, PES College of Science Arts and Commerce. Mandya  17th  and 18th February 2012
 02National conference on Graph theory and number theory-NCGTNT-2012Department of Mathematic, University of Mysore, Mysuru21-22 March 2012
 03One day state level workshop on algebra and Graph TheoryMaharani’s Science College for Women, Mysuru29th March 2012
 04National Conference on Mathematics Analysis and its ApplicationsAdichunchanagiri Institute of Technology, Chikmangalur23rd and 24th June 2012
 05International conference on the works of Srinivasa Ramanujan and related topicsDepartment of Mathematic, University of Mysore, Mysuru12-14 December 2012
 06Three Day Workshop on field theory via geometry number theoryDepartment of Mathematic, University of Mysore, Mysuru04-06 February 2013
 07One day  National seminar on Computational ScienceBharathi College, Bharathinagar2nd March 2013
 08International Seminar on Recent Trends in MathematicsJSS College of Arts, Commerce and Science, Mysore6th August 2013
 0926th International Conference of Jangjeon Mathematical Society, South Korea in association with Acharya Institute of Graduate StudiesAcharya Institute of Graduate Studies, Bangalore1st to 4th, August 2013
 10Three Day Workshop on an Introduction to Algebraic Number Theory via Quadratic FieldsDepartment of Mathematic, University of Mysore, Mysuru22nd to 24th, August 2013
 11Three-day special lecture series in MathematicsDepartment of Mathematic, University of Mysore, Mysuru21-23 November 2013
 12One Day national conference on recent advances in MathematicsJSS college of arts, commerce and science, Mysuru24thJanuary 2014
 13One day state level seminar Analysis and Algebraic geometryP.E.S College of Science, arts and commerce, Manday5th April 2014
 14National Conference on Advances in Geometry, Analysis and Fluid Mechanics (NCAGAF – 2014)Kuvempu University, Shankaragata26th to 27th August 2014
 15Workshop on use of anti-plagiarism Software and J-gate plus discovery toolMysore University Library, Manasagangotri University of Mysore, Mysuru10th December 2014
 16International Conference on Advances in Mathematical Sciences and ApplicationsAdichunchanagiri Institute of Technology, Chikkamagaluru22–23 December 2014
 17Two-day International Conference on Mathematics – Yesterday and TodayJSS College of Arts, Commerce and Science, Mysuru26–27 December 2014
 18National conference on Mathematics and its applicationsDepartment of Mathematic, University of Mysore, Mysuru21st February 2015
 19One day open lecture series on Pi and its PathBharathi College, Bharathinagar14th March 2015
 20Two-day National workshop on AlgebraDepartment of Studies in Mathematics, University of Mysore, Mysuru22-23 August 2015
 21One day National Conference on Graph Theory and Number TheoryDepartment of Studies in Mathematics, University of Mysore, Mysuru24th August 2015
 22Workshop on teaching learningVidya Vikas Education Trust, Mysuru  2nd January 2016
 23The 103rd Indian Science CongressUniversity of Mysore, Mysuru3 to 7th January 2016
 24Two days National Workshop on Number Theory and Works of Srinivasa RamanujanDepartment of Studies in Mathematics, University of Mysore, Mysuru26-27th February 2016
 25One day Regional level special lecture series on “Mathematics Now and Then”PG Department of Mathematics, Vidya Vikas First Grade College, Mysuru3rd May 2016
 26The 29th International Conference of Jangjeon Mathematical society on Number Theory, Special Functions and its ApplicationsDepartment of Mathematics, Pondicherry University, Puducherry8-10th August 2016
 27One day regional level Hands on Workshop on LaTexPG Department of Mathematics, Vidya Vikas First Grade College, Mysuru27th April 2017
 28University level Workshop on Mathematics Practical V and VIDepartment of Mathematics, SBRR Mahajana First Grade College, Mysuru30th June 2017
 29International Conference on Number Theory and Graph TheoryDepartment of Studies in Mathematics, University of Mysore, Mysuru27- 29th June 2019
 30One day National level Webinar on Significance of Discrete Structures Through Some Graph modelsDepartment of Mathematics, sri. Kuvempu First Grade College and PG Center, Ramanagara23rd June 2020
 31Special lecture series on MathematicsDepartment of Mathematics, Central University of Karnataka, Kalburagi22-24th December 2020
 32International Conference on Special Functions and ApplicationsDepartment of Mathematics and Computer Science, Babu Banarasi University, Lucknow23rd December 2020
 33The webinar on Continued Fraction in MathematicsARASU Engineering College, Kumbakonam29th June 2021  
 34International Conference on Special Functions and ApplicationsDepartment of Studies in Mathematics, University of Mysore, Mysuru26th -28th November 2022
 35Multi-disciplinary International Conference on “Digital Transformation, Sustainabality and well-being – A new PerspectiveSt. Philomena’s College, Mysuru9th – 11th February 2023
 36International Conference on Advances in Applied MathematicsDepartment of Mathematics, Tumakuru University, Tumakuru10 – 11th January 2024
 37International Conference on Mathematical Challenges and Novel ApplicationsDepartment of Mathematics, Ayya Nadar Janaki Ammal College, Sivakasi21st – 22nd    March 2024 
 38International Conference on Recent Advance in Mathematics and Data ScienceDepartment of Mathematics, Bioinformatics and computer Applications, Maulana Azad National Institute of Technology, Bhopal27st – 28th      June 2024 
 39National Conference on Graph Theory and Allied TopicsDepartment of Studies in Mathematics, University of Mysore, Mysuru23rd – 24th October 2024
  10Papers Presented at various conferences/Seminars.  
 Sl. No.Title of the paperConference/Seminar & PlaceDates
 01New modular relations for the Rogers-Ramanujan type functions of order fifteen.  26th International Conference of Jangjeon Mathematical Society, South Korea in association with Acharya Institute of Graduate Studies1- 4th, August 2013
 02On a continued fraction of order twelve and new Eisenstein series identitiesNational Conference on Advances in Geometry, Analysis and Fluid Mechanics (NCAGAF – 2014) Kuvempu University, Shankaragata26th to 27th August 2014
 03On the series expansion of the Ramanujan’s continued fraction of order sixInternational Conference on Advances in Mathematical Sciences and Applications, Adichunchanagiri Institute of Technology, Chikkamagaluru22–23 December 2014
 04On the expansion of Ramanujan’s continued fraction of order sixteenThe 29th International Conference of Jangjeon Mathematical society on Number Theory, Special Functions and its Applications, at Department of Mathematics, Pondicherry University, Puducherry8-10th August 2016
 05On a Ramanujan’s continued fraction of order sixteen and new Eisenstein series identitiesInternational Conference on Advances in Applied Mathematics, at Department of Mathematics, Tumakuru University, Tumakuru10th  – 11th January 2024
 06New Eisenstein series identities for the Ramanujan-Gollnitz-Gordon continued fraction and combinatorial partition identitiesInternational Conference on Mathematical Challenges and Novel Applications, at Department of Mathematics,  Ayya Nadar Janaki Ammal College, Sivakasi21st – 22nd    March 2024
 07Modular relationships for the Rogers-Ramanujan-Slater type functions of order eighteen with applications to partitionsInternational Conference on Recent Advance in Mathematics and Data Science, at Department of Mathematics, Bioinformatics and computer Applications, Maulana Azad National Institute of Technology, Bhopal27st – 28th      June 2024
 08Modular relationships for the Rogers-Ramanujan-Slater type functions of order fourteen with applications to partitionsNational Conference on Graph Theory and Allied Topics, at Department of Studies in Mathematics, University of Mysore, Mysuru23rd – 24th October 2024
     
11Research Articles Published  
 SL. No.Title of the paperJournal and ISSN No.Month/Year
 01Modular relations for the Rogers-Ramanujan-Slater type functions of order fifteen and its applications to partitionsRomanian J. Math. Computer Sci. 3(2) (2013), 119-139. ISSN: 2247-689X2013
 02New modular relations for the Rogers-Ramanujan type functions of order fifteenNotes Number Thy. Dis. Math., 20(1) (2014), 36-48. ISSN: 2367-8275  2014
 03Some modular relations for the Rogers-Ramanujan type functions of order fifteen and its applications to partitionsPalestine J. Math., 3(2) (2014), 204-217. ISSN:2219-5688  2014
 04Continued fractions of order six and new Eisenstein series identitiesJ. Numbers, Article ID 643241, (2014), 1-6. ISSN: 2356-75112014
 05New Properties for The Ramanujans Continued Fraction of Order 12Turkish J. Anal. Number Thy., 2(3), (2014), 90-95. ISSN: 2333-11002014
 06On a continued fraction of order twelve and new Eisenstein series identitiesJ. Number Thy., 145 (2014), 554-571. ISSN: 0022-314X2014
 07On some modular relations and 2- and 4-dissections of Ramanujan’s continued fraction of order sixIndian J. Math., 57 (2) (2015) 199-216. ISSN: 0019-5324  2015
 08On the series expansion of the Ramanujan’s continued fraction of order sixProc. Jangjeon Math. Soc., 18(3), (2015), 343-352. ISSN: 1598-72642015
 09Hurwitz type results on sum of two triangular numbersJ. Analys. Number Theory, 3 (2) (2015) 133-135. ISSN: 2375-28072015
 10On the expansion of Ramanujan’s continued fraction of order sixteenTamusi Oxford J. Inf. Math. Sci., 31(1), (2017), 81-99. ISSN: 1561-8307  2017
 11Certain Identities Associated with Eisenstein series, Gollnitz-Gordon Identities and Combinatorial Partition Identities for the Continued Fractions of Order sixteenJ. Ramanujan Soc. Math. Math. Sci., 11(2), (2024), 18-24. ISSN: 2319-10232024
 12Modular relationships for the Rogers-Ramanujan-Slater type functions of order eighteen with application to partitionsINTEGERS2024
     
12Book/ chapter in Books Published  
 SL. No.Title of the Book/Publisher and ISBN No.Month/Year
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13Project
 SL. No.Title of the project- Minor/ majorAgency sponsored Month and year
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14Acted as a Resource Person seminars/conferences/workshops.
 Sl. No.College/ UniversityTopicsDate
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15Awards and Recognition
 Sl. No.Awards / RecognitionUniversity or Any OrganizationDate
 01Prof. K. S. Iyengar Gold Medal AwardUniversity of Mysore, Mysuru06-04-2012
 02Prof. N. Rudraiah Felicitation Committee Gold Medal Award  University of Mysore, Mysuru06-04-2012
 03The Sridhar Kumar Gold Medal AwardUniversity of Mysore, Mysuru06-04-2012
 04Sri Alhaje B. N. Nayeemulla Khan Endowment Gold Medal Award  University of Mysore, Mysuru06-04-2012
 05Prof. K. VenkatachalaIyengar Endowment Cash Prize AwardUniversity of Mysore, Mysuru06-04-2012
 06Han’s (South Korea) Cash Prize AwardUniversity of Mysore, Mysuru06-04-2012
 07The Prof. M. T. Narayan Iyengar Memorial Cash Prize Award  University of Mysore, Mysuru06-04-2012
 08Award of INSPIRE Fellowship No. DST/INSPIRE Fellowship/2012/122  Department of Science and Technology, New Delhi  June 2012
 09Award of Junior Research Fellow from INSPIRE Fellowship, DSTDepartment of Science and Technology, New Delhi  06-02-2012            to 14-02-2014
 10Award of Senior Research Fellow from INSPIRE Fellowship, DSTDepartment of Science and Technology, New Delhi  15-02-2014    to 05-08-2015