MACS » Dr. D. Sukumar

Welcome

Welcome to my web page. I am working as a lecturer in the Department of MACS of NITK Surathkal. I am working on multiplicative functions and almost multiplicative functions in the context of generalized spectrum. In this semester (July-Dec 2009), I am teaching Engineering Math I and Linear Algebra and Matrices

The page is still under construction

Publications

Journals

• (With S. H. Kulkarni) Gleason-Kahane-Zelazko theorem for spectrally bounded algebra, Int. J. Math. Math. Sci. (2005), no.15, 2447--2460. MR 2184484 [.pdf]
• (With S. H. Kulkarni) Condition Spectrum, Acta Sci. Math. (Szeged) 74 (2008), no.~3-4, 625--641. MR2487937 [.pdf]
• (With S. H. Kulkarni) Almost multiplicative functions on commutative Banach algebra, To appear in Studia Math [.pdf]

Conferences/Proceedings

• A new type of co-subring relation in rings (20-22, December 2000) International conference on Recent Advances in Mathematical Sciences (ICRAMS) at IIT- Kharagpur
• Condition spectrum in operator algebra Slides [.pdf]
  (06-08, January 2007) CMASM, The fourteenth international conference of the forum for Interdisciplinary Mathematics, at IIT Madras & Stella Maris
• When is a linear function on function algebra almost multiplicative? Slides [.pdf]
  (06-08, June 2007) 22nd Annual Conference of Ramanujan Mathematical Society at National Institute of Technology Karnataka, Surathkal, Mangalore
• Almost multiplicative functions on class of Banach algebras slides [.pdf]
  (28 November-01 December, 2007), International Conference on Functional Analysis and its Application Department of Mathematics, Scott Christain College, Nagercoil

Research Positions

Teaching

July 2009 - Nov 2009

• Engineering Maths - I
• Linear Algebra

May 2009 - July 2009

• Engineering Maths - I for Backlog Students

Dec 2008 - Apr 2009

• Engineering Maths - II for the B.Tech batches S1 (70) and S8 (61)

Under Graduate Courses Taught

B.Tech

• Engineering Mathematics I, National Institute of Technology Karnataka, Nov 2007-April 2008
• Linear Algebra, National Institute of Technology Karnataka, July-Nov 2008
• Linear Algebra, National Institute of Technology Karnataka, Nov 2007-April 2008
• (Preparatory Course) Basic Maths (Tutorials) Indian Institute of Technology Madras, July 2005-May 2006

Post Graduate Courses Taught

M.Sc

• MSI C003 Ordinary Differential Equations (August -December 2006) at Ramanujan Institute for Advanced Study in Mathematics, University of Madras.
• MSI C006 Partial Differential Equations, (January -May 2007) at Ramanujan Institute for Advanced Study in Mathematics, University of Madras.
• MSI C001 Real Analysis (July-December 2006) at Department of Statistics, University of Madras.

M.C.A

• Automata Theory (July-December 2006) (A part of the Discrete Mathematics course) Department of Computer Science, University of Madras.

Ph. D

• Linear algebra and Matrix Theory - MA904 (July-December 2008) National Institute of Technology Karnataka.

Education

• Ph.D (2007) Indian Institute of Technology Madras, Chennai, India.
  Thesis title: Ransford spectrum in Banach algebra [.pdf]
  Guide: Prof. S. H. Kulkarni
• M.Sc (2001) Indian Institute of Technology Madras, Chennai, India.
• B.Sc (1999) Voorhees College/Madras University, Vellore, India.
• HSC Govt. Hr. Sec. School. Pallipat
• SSLC Govt. Hr. Sec. School. Podaturpet

National Level Exams / Scholarships

• GATE (2001) 81.45 Percentile All India Rank: 159
• NET (Dec 2004) Joint CSIR-UGC NET for Lectureship
• NBHM Post Doctoral Fellowship (2008)

Workshops & Instructional Schools

[2001]

• Instructional School On Linear Algebra. (03 -15 December 2001). HRI Allahabad
• Workshop On Recent Advances in Operator Theory and Operator Algebras II (24 December 2001 to 04 January 2002.) ISI-Bangalore.

[2002]

• Workshop on Banach Algebras, Operators and Harmonic Analysis. (07-13, January 2002.) Sardar Patel University, Vallabh Vidhya Nagar, Gujarat.
• ISI-Bangalore Workshop
• Workshop on Julia sets (11-21, December 2002) Department of Mathematics and Statistics, Central University of Hyderabad

[2003]

• Instructional Workshop on Operator theory (11-16, December 2003) ISI Bangalore.

[2004]

• Regional Workshop on Analysis, (30-31, January 2004). Theivanai Ammal College for women, Viluppuram.
• Forth Workshop on Discrete Dynamical Systems (19-24, February 2004) Central University of Hyderabad
• Fifth Workshop on Discrete Dynamical Systems (17-19, June 2004) Central University of Hyderabad
• QIP Short term course on Fourier analysis, (5-10, July 2004) IITM Chennai
• An Advanced Instructional Workshop on Low Dimensional Topology and Geometric Group Theory, (12-24, July 2004) ISI Bangalore

[2008]

• Mastering the Art and Science of Teaching Engineering and Research [MASTER], (13-14, Mar 2008) NITK Surathkal
• Advanced Training in Mathematics for Lecturers in Functional Analysis - I, (2-13, June 2008) ISI Bangalore
• Advanced Training in Mathematics for Lecturers in Functional Analysis - II, (3-15, Nov 2008) Bhaskaracharya Institute of Mathematics, Pune
• Scince Conclave, Interaction with Nobel Laureates, (15-21, Dec 2008) IIIT Allahabad

[2009]

• Advanced Training in Mathematics Workshop on Geometry of Banach Spaces [ATMW], (1-13, June 2009) ISI Bangalore

Conferences

[2003]

• Joint India AMS Mathematics Meeting, (17-20, December 2003)ISI-Banglore,

[2004]

• Eleventh Ramanujan Symposium on Recent Trends in Operator Theory and Banach Algebra (03-05, March 2004) Ramanujan Institute for Advanced Study in Mathematics(RIASM), University of Madras

[2005]

• Topics in Functional and Numerical Analysis, (7-9, December 2005) IIT Mumbai
• International Conference on Operator Theory and Operator Algebras III (19-22, December 2005) ISI Bangalore and IISc Bangalore.

[2007]

• CMASM, The Fourteenth International Conference of Interdisciplinary Mathematics. (6-8, January 2007) IIT Madras \& Stella Maris College.
• National Conference on Operator Theory (28 February-1st March, 2007), National College, Coimbatore
• 22nd Annual Conference of Ramanujan Mathematical Society (06-08 June, 2007), Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, Surathkal, Mangalore
• International Conference on Functional Analysis and its Application (28 November-01 December, 2007), Department of Mathematics, Scott Christain College, Nagercoil.