P.G. and Research: Department of Mathematics  (Day College)

Publications of Staff Members:

Sri.T.Jagathesan:

  1. On Shimura corresespondence for non-cusp forms of half-integral weight (with Dr.M.Manickam), J.Ramanujan Math.soc.23,No.3(2008)211-222.

Dr. M.Manickam:

  1. Heckle operators on modular forms of half-integral weight, (with B.Ramakrishnan & T.C.Vasudevan), Arch. Math.51 (1988) 343-352.
  2. On Shintani correspondence, (with B.Ramakrishnan & T.C.Vasudevan), Proc. Indian Acad. Sci.99 (1989) 235-247.
  3. On the theory of new form of half-integral weight, (with B.Ramakrishnan & T.C.Vasudevan), J.Number Theory 34(1990) 210-224.
  4. Diagonalising modular forms of half-integral weight, (with B.Ramakrishnan & T.C.Vasudevan), J.Number Theory 40(1992) 32-37.
  5. On a remark of Atikin-Lehner, (with B.Ramakrishnan & T.C.Vasudevan), J.Number Theory 40(1992) 251-253.
  6. Addendum to ‘on the theory of new forms of half-integral weight, (with B.Ramakrishnan & T.C.Vasudevan), J.Number Theory 42(1992) 369-371.
  7. On Saito-Kurokawa descent for the congruence subgroups, (with B.Ramakrishnan & T.C.Vasudevan), Manuscripta Math. 81(1993) 161-182.
  8. Appendix: On normalized modular forms of weights 20, 24, 28 with non-negative Integral Fourier coefficients (with B.Ramakrishnan) Math.Comp.66 (1997) No219, 1180-1183.
  9. On Shimura, Shintani and Eichler-Zagier correspondence, (with B.Ramakrishnan) to Trans. Amer. Math. Soc., vol. 352, No. 6, (2000) 2601-2617.
  10. On Saito-Kurokawa correspondence of degree two for arbitrary level, (with B.Ramakrishnan) J.Ramanujan Math. Soc. 17, No.3 (2002) 1-12.
  11. An Estimate for a certain average of the special values of character twists of Modular L-Functions (with B.Ramakrishnan) proceedings of the American Mathematical Society, Volume 133, No.9, Pages 2515-2517 (2005).
  12. On the Eichler-Zagier map of Jacobi forms of half-integral weight (with B.Ramakrishnan). Pacific J. Math. 227(2006), no. 1, 143-150.
  13. On a conjecture of Zagier (with Sanoli Gun and B.Ramakrishnan) submitted for publication.
  14. An explicit estimate for the Fourier coefficients of an arbitrary cusp form and exceptions of integral Quadratic forms preprint.
  15. On Taylor expansion of Jacobi forms of half-integral weight (with K.Kumaraswamy). Published in JRM.
  16. On Shimura correspondence of forms of half-integral weight in Kohnen plus space for arbitrary odd level (with T.Jegadesan).Published in JRM.
  17. Eisenstein series for Jacobi forms of half-integral weight for arbitrary level preprint.
  18. On Shimura and Eichler-Zagier maps for Skew holomorphic Jacobi forms of integral and half-integral weight preprint.
  19. Twisted Averages of L-Functions (with V.Kumar Murty and B.Ramakrishnan) preprint.
  20. A lift from Elliptic Modular Forms to Siegel Modular Forms of degree 2 in preparation.

K.Kumarasamy:

  1. On Taylor expansion of Jacobi forms of half-integral weight (with Dr.M.Manickam), J.Ramanujan Math.soc.23,No.2(2008) 167-182.

Dr.V.Selvan:

  1. M.Parvathi & V. Selvan, ‘Prime kernel factors of Hopf module algebras and their smash products’. Communication in algebra, 23 (10), 3555 – 3572 (1995).
  2. V. Selvan Rings of quotients of Hopf module algebras, Proceeding of the 4th Ramanujan Symposium on Algebra and its applications, No.5, (1996) 104 – 120.
  3. V. Selvan A note on the nonsingularity of the smash product, Proceeding of the 6th Ramanujan symposium on Algebra and its applications No. 7 (2000). 97 – 102.
  4. V.Selvan, “Sheaves of Hopf module algebras”, Proceeding of the 6th Ramanujan symposium on Algebra and its applications.
  5. V.Selvan, Mohan, B.Praba, “Fuzzy Attribute Dependency in a Rough Set”, Proceeding of the 2nd International Conference on Resource Utilization and Intelligent Systems(2008). 807-809.
  6. V.Selvan, “Roughness of ideals in Semirings”, Submitted for Publication.

Seminars/Other Activities – workshop/symposium – conducted by the Department (last 5 years):

SlNo SEMINARS/OTHER ACTIVITIES YEAR
1 Workshop on Ultrametric analysis & applications Mar 2004
2 International conference on number theory & its applications. Dec 2006
3 Conference on Physical sciences (As a part of the Valedictory diamond jubilee celebrations of our college) Sep 2007

RESEARCH

STAFF – ON GOING RESEARCH PROJECTS - Nil

STUDENTS – M.PHIL, Ph.D AND OTHER RESEARCH PROJECTS

M.Phil: Many students have passed out from this Department.Currently 7 students are doing M.Phil. programme (Part time and Full time).

Ph.D : 6 students have registered for Ph.D programme under the guidance of Dr.M.Manivckam and Dr.V.Selvan. 2 Students of Dr.Manickam have submitted their Ph.D thesis and waiting for the Viva–voce Examination.

ASSOCIATION ACTIVITIES

Every year we conduct the following endowment lectures.

  1. Narayani N & Kadayam S Sankaran endowment lecture .
  2. K.Subramanian endowment lecture.
  3. Harishchandra Memorial endowment lectures.

Eminent scholars in Various fields of Mathematics have been invited & asked to deliver lectures for the above enodwments.

Every year we coduct Olympiad for inter collegiate mathematics students and prizes are given to the first three students.

We conduct a test on Real and Complex analysis for UG students of our college and prizes are given to the first three students.

Prof. Dr. Skoruppa, Sigen university Canada visited our Department on 3-3-2008 and delivered a series of lectures for the students.