1. Geometric function theory
2. Graph Theory
3. Fluid Mechanics
4. Numerical Analysis
5. Topology
6. Algebra
7. Fuzzy logic
8. Liner Algebra

Dr.Ramesha C. 

• “On a subclass of univalent functions”-International journal of Math. and Math. Sci. U.S.A., vol.22, No.1, Jan 1999, pages 211-221.
• “On fekete-szego problem for the class of p-valent strongly close to convex functions of order ”, Annals Polon.math. Poland Vol. 62, No.2(1997)
• “A sufficient condition for starlikeness” – Chinese Journal of Mathematics vol23, No 1, (1995), 167-171.
• “Subordinate properties of uniformly convex and uniformly close to convex functions”- Journal of Ramanujan Mathematical Society vol.9, no.2, (1994), 203-214.

Dr.G.D.Kamath

• A generalization of chromatic index : Journal of discrete Mathematics 124(1994) 173 177, North Holland.
• K-size chromatic number of a graph: Sankhya – The Indian Journal of statistics 1992, special Volume 54, pp, 393-397

Dr.P.K.Achar

• Computer extended series solution to viscous flow between rotating discs” Proc. Indian Acad. Science (Math Sc.) Vol 105 No3 Aug 1995, 353 – 369
• “Semi – analytic approach to stagnation – point flow between porous plates with mass transfer” Indian J. Pure applied Math, 26(4), 373 – 389, April 1995.
• “Computer extended series for squeezing flow between plates” Fluid dynamics Research 16 (1995) 173 – 187 Elserier North Holland.
• “Computer extended series solution of the porous slider” Acta Mechanica 101, 81-92 (1993) Springer Verlog 1993.
• “A semi – analytic approach to the viscous flow between a rotating and stationary disk” Fluid dynamics Research 10(1992) 91-99 North Holland.

Dr.Nityanand Pai

• Analytic continuation of series solution representing flow between plates, Indian Journal of Pure & Applied Mathematics in May, 2004.
• Dirichlet series solution of problems arising in boundary layer theory in Journal of Mathematical and Computer Modeling, Peryman Press, 1999, 57,P:178-195
• Series solution for unsteady flow in a contracting or expanding pipe in I.M.A. Journal of Applied Mathematics (U.K., Oxford press) 1998, 60 p:151-165.
• A semi-analytic approach to stagnant point flow between porous plates with mass transfer in “Indian Journal of Pure and Applied Mathematics. (Journal of Indian National Science Academy) 1995 26(4) 373-389.
• Computer extended series solution for unsteady flows in “proc. of National conference” , Dharwad, 1995, vol.1, p30-40.
• Computer extended series solution to the viscous flow between rotating discs in “proc, Indian Academy of sciences”. Vol. 05, No: 3, Aug.1995 P: 353-369.
• Computer extended series for squeezing flow between two plates in “Fluid Dynamics Research (Japan) 16, (1995), P173-187.

Dr.A.Sesappa Rai

• Sesappa A Rai and Ananthakrishnaih U- Adaptive Methods for the Direct Numerical Integration of y=f (t,y,y), Utilitas Mathematica, 47, (1995),129-135.
• Sesappa A Rai and Ananthakrishnaih U-Additive Parameters Methods for the Numerical Integration of y=f (t,y,y), J.Comput. Appl. Math., 67, (1996), 271-276.
• Sesappa A Rai and Ananthakrishnaih U-Obrechkoff Methods having Additional Parameter for General Second Order Differential Equations, J.Comput. Appl. Math. 79, (1997), 167-182.
• Sesappa A Rai and Ananthakrishnaih U-Hybrid Numerical Additive Parameter Methods for the General Second Order Differential Equations, Advances in Engineering Software (Press).
• Sesappa A Rai and Ananthakrishnaih U-Additive Parameter Methods for Second Order Initial Value Problems, BIT (Press).
• Sesappa A Rai and Ananthakrishnaih U-Hybrid Methods for the Numerical Integration of y=f (t,y,y), J.Comput. Appl. Math(Communicated).
• Nikos Pitsianis, Sesappa A Rai and Xiobai Sun-.Calculus for Bilinear and Translative Expansions of Certain Functions (Communicated).

Dr.Kuncham Syam Prasad

• (With Satyanarayana Bh., Ram Prasad J.L.) “Fuzzy Cosets of Prime Fuzzy Submodules” Journal of Fuzzy Mathematics, (USA) 17 (3) (2009) 595-603.
• (With Satyanarayana Bh., Srinivas K B) ‘Graph of a Nearring with respect to an Ideal’, Communications in Algebra (2009), accepted.
• (With Srinivas K.B. and Satyanarayana Bh.) “Equiprime, 3-Prime and c-Prime Fuzzy Ideals of Nearrings”, Soft Computing (Elsevier) (USA), DOI 10.1007/s00500-008-0369 (Online) 2008.
• (With Satyanarayana Bh., Kumar TVP and Srinivas T.) “Some Results on Fuzzy Cosets and Homomorphisms of N-groups” East Asian Mathematical Journal (Korea), 23 (2007)1, 23-36.
• (With Srinivas K.B. and Satyanarayana Bh.) “The c-Prime Fuzzy Ideals of Nearrings”, Soochow Journal of Mathematics, (Taiwan) 33(4) 891-901, (2007).
• (With Satyanarayana Bh., and Nagaraju D.) “A Theorem on Modules with finite Goldie dimension” Soochow Jr.of Mathematics, (Taiwan) 32 (2) 311-315 (2006).
• (With Satyanarayana Bh., and Kumar TVP) “On Fuzzy Dimension of N-Groups with DCC on its Ideals” East Asian Mathematical Journal (Korea) 21(2) 205-216 (2005).
• (With Satyanarayana Bh.) ‘Linearly Independent Elements in N-Groups with Finite Goldie Dimension’ Bull. Korean Mathematical Society, (Korea) 42 (3) 433-441, 2005.
• (With Satyanarayana Bh.) ‘On Finite Goldie dimension of Mn(N)-Group Nn, Proceedings of the 18th International Conf. on Nearrings and Nearfields, (Springer) (Germany) 301-310, 2005.
• (With Satyanarayana Bh.) “On Fuzzy Prime ideal of a Gamma Nearring”, Soochow Jr. Mathematics, (Taiwan) 31(1) 121-129, 2005.
• (With Satyanarayana Bh.) ‘Fuzzy Cosets of Gamma Nearrings’, Turkish Journal of Mathematics, (Turkey) (29) 11-22, 2005.
• (With Satyanarayana Bh., and Kumar TVP) “On IFP N-Groups and Fuzzy IFP Ideals”, Indian J. Mathematics, 46 (1) 11-19, 2004.
• (With Satyanarayana Bh.) ‘An Isomorphism Theorem on Directed Hypercube of Dimension n’, Indian J. of Pure & Applied Math., 34 (10): 1453-1457, 2003.
• (With Satyanarayana Bh.) ‘On Direct and Inverse Systems in N-Groups’ Indian Journal of Mathematics, 42 (2) 183-192, 2000.
• (With Satyanarayana Bh.) ‘A Note on IFP N-Groups’ Proc. of 6th Ramanujam Symposium on Algebra & Applications, 62-65, 1999.
• (With Satyanarayana Bh.) ‘A Result on E-direct Systems in N-Groups’ Indian J. Pure & Appl. Math., 29(3): 285-287, 1998.
• (With Satyanarayana Bh. and Rao MBV) ‘A Note on Primeness in Near-rings and Matrix Near-Rings’ Indian J. Pure & Appl. Math. 27(3): 227-234, 1996.

Dr.Nagaraj N Katagi

• Computer extended series solution for flow in a narrow channel of varying gap”, Applied Mathematics and Computation, 186, 54-69, 2007, Elsevier Inc.
• “Analysis of Steady Viscous Flow in Slender Tube”, Journal of Applied Mathematics and Physics (ZAMP), Vol. 56, 836-851, 2005, Birkhauser Verlag, Switzerland.
• “Analytic Continuation of Series Solution Representing Flow Between Plates”, Indian Journal of Pure and Applied Mathematics, Vol. 35(5), 587-598, 2004.
• “Analysis of Laminar Flow in a Channel with One Porous Bounding Wall” submitted to International Journal of Fluid Mechanics Research, Begell House Publishers, USA (in Press)

Mr.Kedukodi Babushri Srinivas

• Kedukodi, B. S., Kuncham, S. P., and Bhavanari, S. Equiprime, 3-prime and c-prime fuzzy ideals of nearrings, Soft Comput. 13 (2009), 933–944; Springer-Verlag, USA.
• Bhavanari, S., Kuncham, S. P., and Kedukodi, B. S. Graph of a nearing with respect to an ideal, Comm. Algebra (2009), Accepted; Taylor and Francis, USA.
• Kedukodi, B. S., Bhavanari, S., and Kuncham, S. P. C-prime fuzzy ideals of nearrings, Soochow J. Math. 33, 4 (2007), 891–901; Soochow University, Taiwan.

Dr.Girish Sajjan Shetter

• “Rarely gp – continuous functions”, IJM and Comp. Applications Vol. I(1 – 2), Jan – Dec. 2009.
• “Generalized pre regular spaces”, IJM – Comp. Sc. & IT, Vol. I , Jan – June , 2008, 53 – 60.
• “Pre-weakly continuous functions”,IJMS,Vol 6. March 2007, 85 - 96

Conference Presentations and Papers

P.K.Achar

• Presented paper on “Flow between two rotating discs” on 50th ISTAM , IIT during 14th – 17th Dec, 2005 at IIT, Kharagpur

Dr.Nityanand Pai

• Presented paper on “Flow through constricted pipes” (a semi analytic approach) on 50th ISTAM , IIT during 14th – 17th Dec, 2005 at IIT, Kharagpur
• Presented paper entitled on “Dirichlet Series solution of boundary Value problems” 19th Annual conference on Ramanujan Mathematical Society during 21st – 24th July, 2004 , Agra University, Agra.

Dr.P.G.Bhat

• Presented paper entitled on “K(i)- Self complementary trees” 19th Annual conference on Ramanujan Mathematical Society during 21st – 24th July, 2004 , Agra University, Agra.

Dr.Sudhakara G

• Presented paper on “Matrix Complement of a Graph” 19th Annual conference Ramanujan Mathematical Society during 21st – 24th July, 2004 , Agra University, Agra.

Dr.A.Sesappa Rai

• Adaptive Methods for the Numerical Integration of y=f(t,y,y), International Conference, at Martin Luther University held at Germany during 2003.
• Hybrid methods for the numerical integration General Second Order Differential Equations,). NSIT Conference held at Delhi University during 2002.
• Additive Parameter Methods for Second Order Initial Value Problems, ISTAM. Conference held at Cochin University during 1997.
• Obrechkoff Methods having Additional Parameter for General Second Order Differential Equations, ISTAM. Conference held at Andhra University during 1996.
• Adaptive Methods for the Direct Numerical Integration of general second order differential equations at Ramanujam conference, Tirupathi during 1995.

Dr.Kuncham Syam Prasad

International:

• 5th International Conf. on ‘Combinatorics, Statistics, Pattern Recognition and Related Areas’: University of Mysore, Mysore, Dec. 19-22, 1998 (presented a talk: A Note on Complements in N-Groups with FGD and related Graph)
• 6thInternational Conference on ‘Combinatorics, Statistics, and Related Areas’: University of South Alabama, U.S.A., Dec.19-22, 1999 (presented a talk: A Note on Complements in Modules with FGD and related Graph).
• International Symposium on Mathematics and its Applications, University of Calcutta, Kolkata, Nov. 13-15, 2002 (presented a talk entitled: A Theorem on Modules with Finite Goldie Dimension).
• 18th International Conference on Nearrings and Nearfields, Universitat Der Bundeshwer, Hamburg, Germany, 27-07-2003 to 03-08-2003 (Presented a talk entitled “On finite Goldie Dimension of a Module over a Matrix Nearring).
• Joint India –American Mathematical Society International Conference (Sponsored by NBHM) held at I. I. Sc., Bangalore, during Dec. 17-20, 2003.
• 19th International Conference on Nearrings and Nearfields, National Cheng-Kung University, Chi-Tou, Taipei, Taiwan (R. O. C.), 31-07-2005 to 06-08-2005 (Presented a talk entitled “On Fuzzy Dimension of N-Groups with DCC on its Ideals).
• International Conference on Radicals, National Taras University, Kiev Ukraine, 30-07-2006 to 05-08-2006. (Presented a talk entitled “Fuzzy Prime Ideal of a Gamma Nearring).
• 20th International Conference on Nearrings and Nearfields, Johannes Kepler University of Linz, Austria, 22-07-2007 to 28-07-2007. (Presented a talk entitled “Rough N-Subgroups”).
• International Conference on Algebra and Related Topics, Chulolongkorn University, Bangkok, Thailand, during 28-30, May 2008 (Presented a talk entitled “Homomorphism of Graphs”).
• International Conference on Mathematics and Statistical Applications, Andalas University, Padang, Indonesia, during 09-11, June 2009 (Presented a talk entitled ‘Fuzzy cosets of Equiprime, 3-prime and C-prime Fuzzy Ideals of Nearrings’).

National:

• National Conference on Algebra and its recent trends, VSR & NVR College, Tenali, 11- 12, Sept, 2008. (Resource Person: Finite Goldie dimension in N-groups).
• 42nd Annual Conference of Association of Mathematics Teachers of India, Lalbahadur College, Warangal, A.P, 27-30 Dec. 2007. (Presented a talk: Introduction to Rough Set Theory).
• National Seminar on Algebra and Applications, Sri Padmavathi Mahila University, Tirupathi, Dec. 27-28, 2006. (Presented a talk: On Fuzzy Cosets and Ideals of Gamma Nearrings).
• Two-day National Seminar on Algebra and Graph Theory, Acharya Nagarjuna University, Nagarjuna Nagar, Jan 4-5, 2006 (Presented a talk: On Prime fuzzy submodules).
• International Seminar on Algebra and Allied Topics, S.S.& N. College (P.G.), Narasaraopet, A.P. Jan 3rd 2006 (Presented a talk: On Fuzzy Submodules).
• Two-day Seminar on Engineering Mathematics, Sambhram Institute Of Technology, Bangalore, Nov.2004.
• 67th Indian Mathematical Society Conference: Aligarh Muslim University, Aligarh, Dec. 2001 (presented a talk: On Finite Goldie Dimension of Mn(N) – Group Nn).
• 66th Indian Mathematical Society Conference: DR. B.A.M. University, Aurangabad, Dec. 2000 (presented a talk: On Direct and Inverse Systems in N-Groups, awarded Best Research Paper Prize in Algebra).
• 15th Ramanujan Mathematical Society Conference: Ramanujan Institute for Advanced Study in Mathematics, University of Madras, June 1999 (presented a talk: Linearly Independent Elements in N-Groups with Finite Goldie Dimension).
• 6th Ramanujan Symposium on Algebra and its Applications: Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Feb. 1999 (presented a talk: A Note on IFP N-Groups).
• 13th Ramanujan Mathematical Society Conference: M.S. University, Tirunelveli, June 1998 (presented a talk: An Isomorphism Theorem on Directed Hypercubes of Dimension n).
• 63rd Indian Mathematical Society Conference: New Arts Commerce and Science College, Ahmednagar (University of Poona) Dec. 1997 (presented a talk: On N-Groups).
• 62nd Indian Mathematical Society Conference: IIT Kanpur, Dec. 1996 (presented a talk: A Result on E- Direct Systems in N-Groups)
• National Seminar in Algebra: Nagarjuna University, Nagarjuna Nagar, Oct. 1996 (presented a talk: Prime Left Ideals in Near-Rings)
• 10th Ramanujan Mathematical Society Conference: Govt. P.G. College, Rishikesh, May 1995 (presented a talk: On Different Types of Uniform Ideals in N- Groups).

Dr. Nagaraj N Katagi

• Presented a paper entitled “ Semi-Numerical solution for unsteady flow in contracting or expanding pipe” in the “International conference on Frontiers In Fluid Mechanics-2009” held during August 31st to September 2nd, 2009 at UGC-Centre for Advanced Studies in Fluid Mechanics, Department of Mathematics, Bangalore University, Bangalore.
• Presented a paper entitled “A perturbation solution for viscous incompressible flow in tubes of slowly varying radius” in the “53rd Congress of Indian Society of Theoretical and Applied Mechanics (An International Meet) held during December 27th – 30th, 2008 at University College of Engineering, Osmania University, Hyderabad.
• Presented a paper entitled “ Computer extended series solution for Laminar flow in a channel with porous walls” in the “National Symposium on recent trends in fluid mechanics” held during January 07-08, 2008 at UGC-CAS in Fluid Mechanics, Department of Mathematics, Bangalore University, Bangalore.
• Presented a paper entitled “ Computer extended series solution for Laminar flow in a Uniformly Porous tube with Slip Velocity” in the “National Conference on Mathematical Methods and Applications” held during March 17-18, 2007 at Department of Mathematics, BEC, Bagalkot.
• Presented a paper entitled “Analysis of Laminar Flow in a Uniformly Porous Channel with Slip Velocity” in the “International Conference on Frontiers in Fluid Mechanics” held during October 26-28, 2006 at UGC-CAS in Fluid Mechanics, Department of Mathematics, Bangalore University, Bangalore.
• Presented a paper entitled “Analysis of Unsteady Squeezing of Viscous Fluid in a Tube” in the International Conference on Mathematical Fluid Dynamics held during 2nd –5th December 2004 at Department of Mathematics and Statistics, University of Hyderabad, Hyderabad.
• Presented a paper entitled “Computer Extended Series Analysis of Steady Viscous Flow in Slender Tube” in the International Symposium on “Advances in Fluid Mechanics” held on 21st and 22nd June 2004 at UGC-CAS in Fluid Mechanics, Department of Mathematics, Bangalore University, Bangalore.
• Presented a paper entitled “Analysis of Tube Flow with Velocity Slip” in the National Conference on Advances in Fluid Mechanics-2004 held on 5th and 6th Feb 2004 at Department of Mathematics, Gulbarga University, Gulbarga.
• Presented a paper entitled “A semi analytic approach to laminar Flow in a Uniformly Porous Channel with Velocity Slip” in the National Conference on Fluid Flow and Control-2003 held on 27th and 28th March 2003 at UGC-DRS Cenre, Department of Mathematics, Bharathiar University, Coimbatore.
• Presented a paper entitled “ Computer Extended Series solution for flow between rectangular and circular plates” in the Joint 9th National Conference of the Vigyan Parishad of India on Applied & Industrial Mathematics and 5th Annual Conference of Indian Society of Information Theory & Applications held on February 22-24, 2004 at NSIT, New Delhi.

Mrs.Prathima J

• National conference on Engg. Apllications of Mathematics, Pune, during May 22nd – 23rd, 2009.

Mr.Kedukodi Babushri Srinivas

International:

• International Conference on Mathematics and Statistical Applications, Andalas University, Padang, Indonesia, during 09-11, June 2009.
• International Conference on Algebra and Related Topics, Chulolongkorn University, Bangkok, Thailand, during 28-30, May 2008.
• 20th International Conference on Nearrings and Nearfields, Johannes Kepler University Of Linz, Austria, 22-07-2007 to 28-07-2007.
•  International Conference on Radicals, National Taras University, Kiev, Ukraine, 30-07-2006 to 05-08-2006.
• Joint India –American Mathematical Society International Conference (Sponsored by NBHM) held at I. I. Sc., Bangalore, during Dec. 17-20, 2003.

National:

• National Conference on Algebra and its recent trends, VSR & NVR College, Tenali, 11- 12, Sept, 2008.
• RMS Conference, NITK, Surathkal, June 2007.
• National Seminar on Algebra and Applications, Sri Padmavathi Mahila University, Tirupathi, Dec. 27-28, 2006.
• Two-day National Seminar on Algebra and Graph Theory, Acharya Nagarjuna University, Nagarjuna Nagar, Jan 4-5, 2006.
• International Seminar on Algebra and Allied Topics, S.S.& N. College (P.G.), Narasaraopet, A.P. Jan 3rd 2006.
• Two-day Seminar on Engineering Mathematics, Sambhram Institute of Technology, Bangalore, Nov.2004.
• RMS Conference, Banaras Hindu University, June 2002.