Mathematics Department

• Professor at NMAM Institute of Technology from 01-03-2004 till date 
• Head of the Department of Mathematics from 22-09-2004 to 11-07-2016 Associate Professor at NMAM Institute of Technology from 01-02-1999 to 28-02-2004 
• Assistant Professor at NMAM Institute of Technology from 01-03-1994 to 31-01-1999 
• Lecturer at NMAM Institute of Technology from 27-10-1986 to 28-02-1994

• Lattice Theory and ordered structures
• Graph Theory
• Linear Algebra

• National Merit Scholarship for academic performance from 1978-1983
• Certificate of excellence for the paper "On p-chains in pseudo-ordered sets" presented at International conference on Mathematical Modeling and Applied Soft Computing 2012, Coimbatore

Foreign Universities Visited

• University of Minnesota, Twin Cities, USA- April 2016
• Quaid-i-Azam University, Islamabad Aughust -2005

• Editor -college Magazine
• ISO co-ordinator
• Member- Student counselling
• Member-BOS for UG & PG
• Member-BOE for UG & PG

• Life Member of Indian Society for Technical Education
• Life Member of Indian Mathematical Society

For PG

• Applied Mathematics
• Numerical Analysis

For UG

International Journals

1. Prashantha Rao and Shashirekha B Rai, Translations and Derivations in C-trellises, Journal of Physics: Conf. Series 1344 (2019) 012027
2. Prashantha Rao and Shashirekha B Rai, Convex and Weakly Convex Subsets of a Pseudo ordered set, Int. J. Math. And Appl., 7(1)(2019), 149-154, ISSN: 2347-1557
3. Shashirekha B. Rai , Prashantha Rao, Filters in Semitrellises, International Journal of Pure and Applied Mathematics 114, No. 4, 2017 , 709-717
4. Shashirekha B. Rai ; S. Parameshwara Bhatta, Derivations and Translations on Trellises. Acta Universitatis Palackianae Olomucensis" Facultas Rerum Naturalium Mathematica 2015 ,Vol. 54, No1, pp.129-136.
5. Shashirekha B. Rai , Prashantha Rao, On Nodes in Trellises International Journal of Pure and Applied Mathematics 105, 4 (2015) ,647-652
6. Shashirekha B. Rai , Prashantha Rao, W- Convex subsets of a Pseudo-ordered set, Global Journal of Pure and Applied Mathematics 11, 6 (2015) 4825-4830
7. Shashirekha B. Rai, On distributive , standard and neutral elements in trellises. Acta Math. Univ. Comenianae, Vol.77 ( 2008), No.2, p.167-174
8. S. Parameshwara Bhatta and H. Shashirekha , Some characterization of completeness for trellises in terms of joins of cycles, Czechoslovak Mathematical Journal, 54(129) 2004, 267-272
9. S. Parameshwara Bhatta and H. Shashirekha; A characterization of completeness for trellises, Algebra Universalis 44(2000) 305-308.

National Journals

1. Shashirekha B. Rai, Path preserving mappings in psosets, Journal of Mathematics Education Vol XLIV-2006
2. Shashirekha B. Rai,and S. Parameshwara Bhatta Enumeration of trellises, South East Asian Journal of Math. & Math. Sc. Vol.3 No. 2 (2005), pp.23-32
3. Shashirekha B. Rai, On Prime ideals in trellises, Journal of Mathematics Education Vol. 39, No. 4, 2005 , 245-249

International Conferences

1. Shashirekha B. Rai and Prashantha Rao, Modular and weakly distributive trellises, 1st International conference on Science, Engineering, Technology and Management(ICSETM-2017), During 8thand 9th of March 2017, held at Kuriakose Elias College, Kottayam, Kerala
2. Shashirekha B. Rai, On P-chains in pseudo-ordered sets, Proceedings of the International conference on Mathematical Modeling and Applied Soft Computing 2012, Vol.1 328-333
3. Shashirekha B. Rai, On pseudo-ordered sets and trellises, Proceedings of the 6th International conference 2005, held at Islamabad , Pakistan.
4. Shashirekha B. Rai and S. Parameshwara Bhatta, Distributive, standard and neutral elements in trellises, 14th International Conference of the Jangjeon Mathematical Society held at University of Mysore during December 22-24, 2003

National Conferences/Seminar

1. Shashirekha B. Rai, Enumeration of Non isomorphic trellises with at most five points in the National Seminar on Algebra and Applications held at Andhra University, Visakhapatnam during August 30-September 1, 2002
2. Shashirekha H and Parameshwara Bhatta, Characterization of completeness for trellises in terms of joins of cycles, 66th Annual Conference of Indian Mathematical Society held at Vivekanand Arts, Sardar Dalipsingh Commercxe & Science College, Aurangabad during December 22-25, 2000
3. Shashirekha H and S. Parameshwara Bhatta, On some characterization of completeness for trellises and fixed point property in 65th Annual conference of Indian Mathematical Society held at A.P.S University, Rewa,Madhya Pradesh during December 20-23, 1999

Workshops Organized

1. Convener of Two Day Workshop on "Analytical, Numerical and Statistical Techniques-Applications" during 28th and 29th of July 2017
2. Convener Two Day workshop on Transform Techniques and Mat Lab Applications, 16th & 17th of April 2015
3. Convener of a Workshop on Technical documentation using LaTex -14th July 2014
4. Convener of Two Day Workshop on Mathematical & Statistical Methods-Applications-(TEQIP Funded) during 5th & 6th of December 2013
5. Convener of Three Day Faculty Development Program on Linear Algebra and its Applications from 3rd to 5th of March 2011.
6. Convener of 2 day workshop on Engineering Applications of Mathematical Sciences during 8th & 9th of February 2007

• Invited speaker for the 6th International conference 2005, held at Islamabad , Pakistan.
• Chairman of Board of Examiners for B.E- Engineering Mathematics of Mangalore University during- 2003-2004
• Member of Under-Graduate Board of Studies in Mathematics of Mangalore University during 1997-1999
• Member of the Academic Adhoc Committee of Basic Sciences of Vishveshwaraya Technological University in 1999.
• Member of Board of Examiners for B.E- Engineering Mathematics of Mangalore University during 1998 -2002

• Lecturer in NMAM Institute of Technology from 03-10-1997 to 31-12-2002 Senior Lecturer in NMAM Institute of Technology from 01-01-2003 to 29-02-2008 
• Assistant Professor in NMAM Institute of Technology from 01-03-2008 to 31-10-2012 
• Associate Professor in NMAM Institute of Technology from 01-11-2012 to 30-11-2013 
• Professor in NMAM Institute of Technology from 01-12-2013 to 10-07-2016 
• Professor & Head from 11-07-2016 till date

• Graph Theory
• Operations Research

• Board of Examiners-UG(BoE)
• Board of Examiners-PG(BoE)
• Board of Studies(BoS)
• Departmental Under Graduate Committee(DUGC)
• Departmental Post Graduate Committee(DPGC)
• Departmental Academic Appeals Board(DAAB)
• Departmental Assessment Board(DAB)

• Life Member of Indian Society for Technical Education
• Life Member of Indian Society of Systems For Science & Engineering(ISSE)

• Engineering Mathematics-I
• Engineering Mathematics-II
• Engineering Mathematics-III
• Engineering Mathematics-IV
• Biostatistics
• Operations Research
• Graph Theory
• Quantitative Methods in Construction

International Journals

1. S M Hegde and Shankaran P., " Edge Sum Labellings of Graphs", Journal of Comb. Information & System Sciences, New Delhi, Vol. 28-29, PP.163-172, 2003-2004.
2. S M Hegde and Shankaran P., "Geometric labeled graphs", AKCE International Journal of Graphs & Combinatorics, New Delhi, Vol.No. 1,pp.83-97, 2008.
3. S M Hegde, Sudhakar Shetty and P. Shankaran, "Further results on super edge magic-deficiency of graphs", Ars Combinatoria, Vol.XCIX, pp.487-502, April 2011.
4. S M Hegde and P. Shankaran, "On Weakly Indexable Graphs", Journal of combinatorics,Information & System Sciences, New Delhi , Vol.40, Nos.1-4,pp.173-209, 2015.
5. Shankaran P., "On Weak and Strong Indexers of Graphs", International Journal of Latest Engg. Research and Applications(IJLERA), Vol. 02, Issue 03, pp. 28-42, Mar. 2017.

International Conferences

1. S M Hegde and Shankaran P., "On vertex dependent characteristic of a graph", Proceedings of the international conference on Mathematics & computer science, 1-3,pp.3-7, 2007.
2. S M Hegde and Shankaran P., "On Weakly Indexable Graphs", 23rd International Conference Forum for Interdisciplinary Mathematics (FIM), NITK, Surathkal, Dec. 18-20, 2014.

National Conferences

1. S M Hegde and Shankaran P., "Triangular Sum Labellings of Graphs", Proceedings of the group discussion on labelings of discrete structures and applications, 19-28, pp.109-115, 2006.
2. Shankaran P. and Chaithra K., "D-Distance Magic Labeling on Trees", Proceedings of the National Conference on Emerging Trends in Sci. and Engg., pp. 27, Feb. 23, 24, 2017.

• Time table coordinator for first year from 2012 till date
• Actively involved in the conduction of workshop
• Carrying out statistical evaluation and interpretation of data of Ph. D. work of Reserach scholars in the department of BTE
• Member of hostel monitoring squad
• Teacher Guardian for academically weak students

• Senoir research fellow in Wrangler Dr. D. C. Pavate Institute of Mathematical Sciences from 03-05-2013 to 02-08-2013 
• Assistant Professor in NMAM Institute of Technology from 01-08-2014 till date.

• Semi boolean rings
• Quasi polar rings
• Exchange rings and modules

• Member-BOE(UG&PG)
• Member DPGC
• NBA-departmental coordinator
• ISO-internal auditor

• Probability Theory and Numerical Methods
• Engineering Mathematics I,II,III,IV
• Vector Calculus and Transform Techniques
• Numerical Methods

International Journals

1. V.A.Hiremath and Sharad Hegde, On strongly clean rings, International journal of Algebra, Vol. 5, No. 1(2011), 31-36.
2. V.A Hiremath and Sharad Hegde, On a subclass of semipotent rings, Research Journal of Pure Alebra, Vol. 2, No. 2(2012), 66-70.
3. V.A.Hiremath and Sharad Hegde, Using ideals to provide a unified approach to uniquely clean rings , Journal of Australian Mathematical Society,Vol. 96, (2014) , 258-274

National Conferences

1. Presented a paper entitled "On Strongly Clean Rings" in the UGC sponsored two day national level conference on Recent Advances in Analysis and its Applications held at Smt. A. S. M. College for Women, Bellary during April 27-28, 2010.
2. Presented a paper entitled "On a subclass of semipotent rings " in the UGC sponsored national conference on Analysis and Applications organized by the Department of Mathematics, Karnatak University, Dharwad during March 15 to 17, 2011.
3. Presented a paper entitled "On uniquely semipotent rings" in the UGC sponsored national seminar on Analysis and Applications organized by the Department of Mathematics, Karnatak University, Dharwad during March 22 and 23, 2013.

• Lecturer in Chinmaya Pre-University College from 15-07-2005 to 22-07-2007 
• Lecturer in NMAM Institute of Technology from 23-07-2007 to 23-07-2013 Lecturer Grade -I in NMAM Institute of Technology from 23-07-2013 to 23-07-2014 
• Assistant Professor in NMAM Institute of Technology from 23-07-2014 to 07-12-2016 
• Assistant Professor Grade -III in NMAM Institute of Technology from 08-12-2016 to 30-11-2017 
• Associate Professor in NMAM Institute of Technology from 01-12-2017 till date

• Directed Graphs and combinatorics
• Graph Theory
• Labeling Problems
• Algebraic Graph theory
• Counting Techniques

Ist year Sessional Co-ordinator

Dept. Research co-ordinator

BOE, BOS, DUGC member

International Journals

1. Hegde, S. M., Kumudakshi, Construction of graceful digraphs using algebraic structures. J. Discrete Math. Sci. Cryptogr., 19,103-116 (2016).(Scopus Indexed)(SJR 0.12)
2. Hegde, S. M., Kumudakshi, Construction of Graceful Directed Graphs ,J. Comb. Info. Sys. Sci., 40, 252-263 (2015)
3. Hegde, S. M., Kumudakshi, Graceful digraphs and complete mappings,Electronic Notes in Discrete Mathematics, 48,151-156 (2015). (Scopus Indexed) (SNIP 0.389, SJR 0.320, Impact factor 0.6)
4. Hegde, S. M., Kumudakshi, Further Results On Graceful Directed Graphs,Electronic Notes in Discrete Mathematics, 53, 149-154,(2016). (Scopus Indexed) (SNIP 0.389, SJR 0.320, Impact factor 0.6)

International Conferences

1. S. M. Hegde and Kumudakshi, Graceful digraphs and complete mappings, at Eighth International Workshop on Graph Labelings at Kalasalingam University, Tamil Nadu during 3rd-6th December, 2014.
2. S. M. Hegde and Kumudakshi, Construction of Graceful Digraphs , at 23 rd IMSCT at N.I.T.K, Surathkal during 18th-21st December, 2014.
3. S. M. Hegde and Kumudakshi, Further results on graceful directed graphs, at International Conference on Graph Theory and its Applications at Amrita University, Coimbatore during 16th-19th December, 2015.

National Conferences

1. S.M. Hegde and Kumudakshi, On Graceful Directed Graphs, at National Conference on Numerical Methods and Network Analysis at Milagress College, Kallianpur, Udupi during 17th - 18th of July, 2014.
2. S.M. Hegde and Kumudakshi, Gracefulness of some oriented digraphs, at NCTESE-2017 at SMVIT, Udupi during 23rd -24th Feb 2017.

• Lecturer in NMAM Institute of Technology from 04-09-2007 to 04-09-2013 
• Lecturer Grad I in NMAM Institute of Technology from 04-09-2013 to 04-09-2014 
• Assistant Professor in NMAM Institute of Technology from 04-09-2007 till date

• Linear algebra
• Numerical methods

• Linear Algebra (Open elective)
• Probability Theory and Numerical Methods
• Generating Functions and Transform Techniques
• Engineering Mathematics I,II,III
• Vector Calculus and Transform Techniques
• Numerical Methods

• Lecturer in Sri Bhuvanendra College,Karkala from 1/8/2005 to 20/12/2010
• Lecturer in NMAM Institute of Technology from 21/12/2010 to 1/5/2013
•  Assistant Professor Grade I in NMAM Institute of Technology from 1/5/2013 till date.

• Differential Calculus
• Graph theory

• DUGC Member
• Department sessional coodinator
• BOE-UG -Member

• Engineering Mathematics I,II,III,IV
• Numerical Methods
• Probability Theory and Numerical Methods
• Generating Functions and Transform Techniques
• Vector Calculus and Transform Techniques
• Advanced Mathematics -I

• Assistant Professor in NMAM Institute of Technology from 18-07-2012 till date

• Numerical Analysis
• Linear Algebra
• Differential Equations
• Graph Theory

• Engineering Mathematics I,II,III,IV
• Graph Theory
• Probability Theory& Numerical Methods
• Vector Calculus and Transform Techniques
• Generating Functions and Transform Techniques
• Combinatorial Mathematics
• Linear Algebra

• Algebra
• Lattice Theory

• Engineering Mathematics-I,II,III,IV
• Vector Calculus and Transform Techniques
• Probability Theory
• Generating Functions and Transform Techniques
• Numerical Methods

• Graph Theory
• Lattice theory

• Engineering Mathematics-I II III IV
• Vector Calculus and Transform Techniques
• Probability Theory
• Graph Theory(open elective)
• Generating Functions and Transform Techniques
• Numerical Methods

• Assistant Professor in NMAM Institute of Technology from 15-01-2013 till date

• Numerical Analysis
• Linear algebra
• Differential Equations
• Graph theory

• Engineering Mathematics- I,II,III,IV
• Probability Theory& Numerical Methods
• Vector Calculus and Transform Techniques
• Graph Theory
• Combinatorial Mathematics
• Linear Algebra

• Assistant Professor in NMAM Institute of Technology from 23-07-2013 till date.

• Algebra
• Linear Algebra

• Department sessional coordinator
• BT301/401 course file incharge

• Probability Theory and Numerical Methods
• Generating Functions and Transform Techniques
• Engineering Mathematics I,II,III,IV
• Vector Calculus and Transform Techniques
• Advanced Mathematics-I,II

• Lecturer in M.G.M College Udupi from 15-06-2011 to 23-07-2013 
• Assistant Professor in NMAM Institute of Technology from 24-07-2013 till date.

• Graph Theory
• Linear Algebra

• Probability Theory and Numerical Methods
• Generating Functions and Transform Techniques
• Engineering Mathematics I,II,III,IV
• Vector Calculus and Transform Techniques
• Advanced Mathematics- I,II
• Biostatistics

• Lecturer in Vijaya College Mulki from 2-11-2010 to 30-04-2013. 
• Assistant Professor in NMAM Institute of Technology from 16/12/2013 till date.

• Algebra
• Linear Algebra

• Probability Theory and Numerical Methods
• Generating Functions and Transform Techniques
• Engineering Mathematics- I,II,III,IV
• Vector Calculus and Transform Techniques
• Advanced Mathematics- II

• Assistant Professor in NMAM Institute of Technology from 01-07-2014 till date.

• Algebra
• Linear Algebra

• Department sessional coordinator
• EE301/401 course file incharge

• Probability Theory and Numerical Methods
• Generating Functions and Transform Techniques
• Engineering Mathematics I,II,III,IV
• Vector Calculus and Transform Techniques
• Advanced Mathematics-I,II