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Bhaba Kumar Sarma

Professor Ph.D. (University of Delhi)

+91 (0)361 258 2609    bks ◊ iitg ⋅ ac ⋅ in

Research Area: Combinatorial Matrix Theory (Graph Spectra, Matrix Completion Problems) Finite Fields and applications in Cryptography
Room No: E-305
Personal Website | IRINS Profile

Department Responsibilities:
DPPC, Member
Faculty Advisor, M.Sc. (Mathematics) 2023

Research

Combinatorial Matrix Theory (Graph Spectra, Matrix Completion Problems)
Finite Fields and applications in Cryptography

Education

Name

Board/University

Subject/Stream

Year of passing       

H.S.L.C. (Class X)

SEBA, Assam 

 

1980

Pre-Univ. (10+2)

Gauhati University

Science

1983

B.A.(Math)

University of Delhi 

Hons - Math

1986

M.A.

University of Delhi

Math

1988

M.Phil.

University of Delhi

Math

1991

Ph.D.

University of Delhi

Math

1996

Experience

Ramjas College, Delhi: as Lecturer (1990-1992)
Cotton College, Guwahati: as Lecture (1992-1994)
Gauhati University: as Senior Lecturer (1994-1999)
IIT Guwahati: as Assistant Professor (1999-2004), as Associate Professor (2004-2009), as Professor (2009- )

Courses

Presently (January-April, 2019 Semester) I am teaching:
MA625 Linear Algebra - I (Ph.D. Core Course).
Courses taught:
Here is a list of courses that I took up for teaching at different times. Many of the courses were taught a
multiple number of times.

  - at Indian Institute of Technology Guwahati:
MA741 Real and Complex Analysis (Ph.D. Core Course, till 2013)
MA731 Linear Algebra and Functional Analysis (Ph.D. Core Course, till 2013)
MA725 Non-Negative Matrix Theory (Ph.D. Elective Course)
MA719 Linear Algebra - II (Ph.D. Elective Course)
MA642 Real Analysis - I (Ph.D. Core Course)
MA625 Linear Algebra - I (Ph.D. Core Course)MA725 Non-Negative Matrix Theory (Ph.D. Course)
MA549 Topology (M.Sc. Elective Course)
MA541 Real Analysis (M.Sc. Core Course)
MA523 Computer Algebra (M.Sc. Elective Course)
MA522 Linear Algebra (M.Sc. Core Course)
MA521 Modern Algebra (M.Sc. Core Course)
MA510 Combinatorics (B.Tech./M.Sc. Elective Course)
MA506 Number Theory and Cryptography (B.Tech./M.Sc. Elective Course)
MA505 Algebraic Coding Theory (B.Tech./M.Sc. Elective Course)
MA502 Graph Theory (B.Tech./M.Sc. Elective Course)
MA222 Modern Algebra (B.Tech.(M&C) Core Course)
MA201 Mathematics - III (B.Tech. Core Course) - PDE, Complex Analysis,
MA102 Mathematics - II (B.Tech. Core Course) - Multivariable Calculus, ODE/Numerical Analysis
MA101 Mathematics - I (B.Tech. Core Course) - Real Analysis, Linear Algebra
MA002 Mathematics II (Preparatory Course)
MA001 Mathematics I (Preparatory Course)

- at Gauhati University
•    For PG students: Real Analysis, Number Theory, Measure Theory, Graph Theory  
 - at Cotton College Guwahati
•    For UG students: Modern Algebra, Analytic Geometry, Hydrostatics
•    For PG students: Real Analysis, Statistics
- at Ramjas College, Delhi University
•    For UG students: Calculus, Number Theory, Lattice Theory
*Apart from the formal teaching in my Institute, I devote quite a bit of my time in teaching in various training programmes for students and teachers, including the MTTS Programme.

Books

1. Ajit Kumar, S. Kumaresan, Bhaba Kumar Sarma, "A Foundation Course in Mathematics", 0 , Narosa, Alpha Science International Ltd (978-81-8487-610-9) ,pp.131 [2018]

Journal Publications

18. Debashish Sharma and Bhaba Kumar Sarma, "Extremal inverse eigenvalue problem for irreducible acyclic matrices", Applied Mathematics in Science and Engineering , vol.30 (1) ,pp.192-209, [2022]

17. Rajesh P. Singh, Bhaba K. Sarma and Anupam Saikia, "A public key crystosystem using a group of permutation polynomials", Tatra Mt. Math. Publ. , vol.77 ,pp.139-162, [2020]

16. Bhaba Kumar Sarma, Kalyan Sinha., "The nonnegative Q-matrix completion problem", J. Algebra Comb. Discrete Struct. Appl. , vol.4 (1) ,pp.61-74, [2017]

15. Bhaba Kumar Sarma, Kalyan Sinha., "The P_0^+-matrix completion problem", Electron. J. Linear Algebra , vol.29 ,pp.120-143, [2015]

14. Bhaba Kumar Sarma, Kalyan Sinha, "The positive Q-matrix completion problem", Discrete Math. Algorithms Appl , vol.7 (4) [2015] , (DOI: 10.1142/S1793830915500524)

13. A.Saikia, B.K. Sarma, R.P. Singh, "Poly Dragon: An Efficient Multivariate Public Key Cryptosystem", Journal of Mathematical Cryptology. , vol.4 ,pp.349-364, [2011]

12. B.K. Sarma, L.M. DeAlba, L. Hogben., "The Q-matrix completion problem.", Electronic Journal of Linear Algebra. , vol.18 ,pp.349-364, [2009]

11. B.K. Sarma, M. Nath., "Minimal Configuration unicyclic graphs graphs.", Linear Multilinear Algebra. , vol.57 ,pp.19-27, [2009]

10. S. Barik, M. Nath, S. Pati, B. K. Sarma., "Unicyclic graphs with strong reciprocal eigenvalue property.", Electronic Journal of Linear Algebra. , vol.7 ,pp.139-153, [2008]

9. B.K. Sarma, M. Nath., "On the null-spaces of acyclic and unicyclic singular graphs.", Linear Algebra and its Applications. , vol.427 ,pp.42-54, [2007]

8. S. Barik, S. Pati, B. K. Sarma., "The Spectrum of the Corona of two Graphs.", Siam Journal of Discrete Mathematics. , vol.21 (1) ,pp.47-56, [2007]

7. L. B. Beasley, S. Z. Song, K. T. Kang, B. K. Sarma., "Column ranks and their preservers over nonnegative real matrices.", Linear Algebra Applications , vol.399 ,pp.03-16, [2005]

6. B.K. Sarma, T. Ali., "Weak and strong fuzzy homomorphisms of groups.", Journal of Fuzzy Mathematics. , vol.12 (2) ,pp.357-368, [2004]

5. B.K. Sarma, K.C. Gupta., "Nilpotent fuzzy groups.", Fuzzy Sets and Systems , vol.101 (1) ,pp.167-176, [1999]

4. B.K. Sarma., "Solvable fuzzy groups.", Fuzzy Sets and Systems. , vol.106 (3) ,pp.463-467, [1999]

3. B.K. Sarma, K.C. Gupta., "Commutator fuzzy groups.", Journal of Fuzzy Mathematics. , vol.4 (3) ,pp.655-663, [1996]

2. B.K. Sarma, K.C. Gupta., "Operator domains on fuzzy groups.", Information Sciences. , vol.84 (3) ,pp.245-259, [1995]

1. B.K. Sarma, K.C. Gupta., "Conormal fuzzy groups.", Fuzzy Sets and Systems. , vol.56 (3) ,pp.317-322, [1993]

Current

1 Madhab Mondal

Completed

1 Milan Nath
2 Rajesh Pratap Singh
3 Kalyan Sinha

No Project Available!

No Project Available!

No Data Available!