Binod Kumar Sahoo

Designation

Associate Professor

Joining Date

21/07/2009

Expiry of Tenure

31/08/2043

Research Area

Incidence Geometry

Education

Ph.D. (Mathematics), Indian Statistical Institute, Bangalore, India, 2008
M.Phil. (Mathematics), Madurai Kamaraj University, India, 2004.
M.A. (Mathematics), Utkal University, Bhubaneswar, India, 2000
B.A. (Mathematics), Ravenshaw (Autonomous) College, Cuttack, India, 1998

Research Interest

Incidence Geometry, Algebraic Combinatorics

Publications

R. P. Panda, K. L. Patra and B. K. Sahoo, Characterizing finite nilpotent groups associated with a graph theoretic equality, Ricerche di Matematica, To appear.
R. P. Panda, K. L. Patra and B. K. Sahoo, On the minimum degree of power graphs of finite nilpotent groups, Communications in Algebra, 51 (2023), no. 1, 314-329.
B. De Bruyn, P. Pradhan, B. K. Sahoo and B. Sahu, A characterization of the family of secant lines to a hyperbolic quadric in PG(3,q), q odd, Part II, Discrete Mathematics 346 (2023), no. 3, Paper No. 113251, 15 pp.
B. De Bruyn, P. Pradhan and B. K. Sahoo, Blocking sets of tangent and external lines to an elliptic quadric in PG(3,q), Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 131 (2021), Article No. 39, 16pp.
H. Kumar, K. L. Patra and B. K. Sahoo, Proper divisor graph of a positive integer, Integers 21 (2021), Paper No. A65, 21 pp.
S. Chattopadhyay, K. L. Patra and B. K. Sahoo, Minimal cut-sets in the power graphs of certain finite non-cyclic groups, Communications in Algebra 49 (2021), no. 3, 1195-1211.
R. P. Panda, K. L. Patra and B. K. Sahoo, On the minimum degree of the power graph of a finite cyclic group, Journal of Algebra and its Applications 20 (2021), no. 3, Article Id: 2150044, 18 pp.
B. De Bruyn, P. Pradhan and B. K. Sahoo, Minimum size blocking sets of certain line sets with respect to an elliptic quadric in PG(3,q), Contributions to Discrete Mathematics 15 (2020), no. 2, 132-147.
S. Chattopadhyay, K. L. Patra and B. K. Sahoo, Laplacian eigenvalues of the zero divisor graph of the ring Z_n, Linear Algebra and its Applications 584 (2020), 267-286.
S. Chattopadhyay, K. L. Patra and B. K. Sahoo, Vertex connectivity of the power graph of a finite cyclic group II, Journal of Algebra and its Applications 19 (2020), no. 02, Article Id: 2050040, 25 pp.
Erratum: Vertex connectivity of the power graph of a finite cyclic group II, Journal of Algebra and its Applications 19 (2020), no. 02, Article Id: 2092001, 2 pp.
B. K. Sahoo and Bikramaditya Sahu, Blocking sets of certain line sets to a hyperbolic quadric in PG(3,q), Advances in Geometry 19 (2019), no. 4, 477-486.
B. De Bruyn, B. K. Sahoo and Bikramaditya Sahu, Blocking sets of tangent lines to a hyperbolic quadric in PG(3,3), Discrete Applied Mathematics 266 (2019), 121-129.
S. Chattopadhyay, K. L. Patra and B. K. Sahoo, Vertex connectivity of the power graph of a finite cyclic group, Discrete Applied Mathematics 266 (2019), 259-271.
B. K. Sahoo and Bikramaditya Sahu, Blocking sets of tangent and external lines to a hyperbolic quadric in PG(3,q), q even, Proceedings of the Indian Academy of Sciences: Mathematical Sciences 129 (2019), no. 1, Article No. 4, 14pp.
B. De Bruyn and B. K. Sahoo, On minimum size blocking sets of the outer tangents to a hyperbolic quadric in PG(3,q), Finite Fields and Their Applications 56 (2019), 31-57.
B. De Bruyn, B. K. Sahoo and Bikramaditya Sahu, Blocking sets of tangent and external lines to a hyperbolic quadric in PG(3,q), Discrete Mathematics 341 (2018), no. 10, 2820-2826.
K. L. Patra and B. K. Sahoo, Bounds for the Laplacian spectral radius of graphs, Electronic Journal of Graph Theory and Applications 5 (2017), no. 2, 276-303.
A. Jena and B. K. Sahoo, Revisiting Eisenstein-type criterion over integers, The Mathematics Student 86 (2017), no. 1-2, 77-86.
K. L. Patra, B. K. Sahoo and Bikramaditya Sahu, Minimum size blocking sets of certain line sets related to a conic in PG(2,q), Discrete Mathematics 339 (2016), no. 6, 1716-1721.
B. K. Sahoo, Existence of non-abelian representations of the near hexagon Q(5,2)\otimes Q(5,2), Proceedings of the Indian Academy of Sciences: Mathematical Sciences 126 (2016), no. 2, 143-151.
B. De Bruyn and B. K. Sahoo, Polarized non-abelian representations of slim near-polar spaces, Journal of Algebraic Combinatorics 44 (2016), no. 1, 59-79.
B. K. Sahoo and N. S. N. Sastry, Binary codes of the symplectic generalized quadragle of even order, Designs, Codes and Cryptography 79 (2016), no. 1, 163-170.
K. L. Patra and B. K. Sahoo, Minimizing Laplacian spectral radius of unicyclic graphs with fixed girth, Czechoslovak Mathematical Journal 63(138) (2013), no. 4, 909-922.
B. De Bruyn, B. K. Sahoo and N.S.N. Sastry, Non-abelian representations of the slim dense near hexagons on 81 and 243 points, Journal of Algebraic Combinatorics 33 (2011), no. 1, 127-140.
A. K. Lal, K. L. Patra and B. K. Sahoo, Algebraic connectivity of connected graphs with fixed number of pendant vertices, Graphs and Combinatorics 27 (2011), no. 2, 215-229.
B. K. Sahoo and N. S. N. Sastry, On the order of a non-abelian representation group of a slim dense near hexagon, Journal of Algebraic Combinatorics 29 (2009), no. 2, 195-213.
K. L. Patra and B. K. Sahoo, A non-abelian representation of the dual polar space DQ(2n,2), Innovations in Incidence Geometry 9 (2009), 177-188.
B. K. Sahoo, New constructions of two slim dense near hexagons, Discrete Mathematics 308 (2008), no. 10, 2018-2024.
B. K. Sahoo and N. S. N. Sastry, A characterization of finite symplectic polar spaces of odd prime order, Journal of Combinatorial Theory, Series A 114 (2007), no. 1, 52-64.
B. K. Sahoo and B. Sury, What is the Burnside Problem?, Resonance, 10 (July, 2005), 34-48.

Preprints

B. De Bruyn, P. Pradhan and B. K. Sahoo, On next-to-minimum size blocking sets of external lines to a nondegenerate quadric in PG(3,q).
S. Mukherjee, K. L. Patra and B. K. Sahoo, On the minimum cut-sets of the power graph of a finite cyclic group.
B. De Bruyn, F. Pavese, P. Pradhan and B. K. Sahoo, On blocking sets of the tangent lines to a nonsingular quadric in PG(3,q), q prime.
S. Chattopadhyay, K. L. Patra and B. K. Sahoo, On connectivity of zero-divisor graphs of finite commutative rings.

Teaching

2022-2023 Rings and Modules (Int. M.Sc.) || Groups and Rings (Int. M.Sc.-Ph.D.)
2021-2022 Mathematics-I (Int. M.Sc.) || Representations of Finite Groups (Int. M.Sc.)
2020-2021 Incidence Geometry (Int. M.Sc.) || Algebra-I (Ph.D.)
2019-2020 Rings and Modules (Int. M.Sc.) || Algebra-II (Ph.D.)
2018-2019 Rings and Modules (Int. M.Sc.) || Numerical Analysis (Int. M.Sc.)
2017-2018 Group Theory (Int. M.Sc.) || Linear Algebra (Int. M.Sc.)
2016-2017 Classical Groups (Int. M.Sc. & Ph.D.) || Algebra-II (Ph.D.) || Mathematics-I (Int. M.Sc.)
2015-2016 Rings and Modules (Int. M.Sc.) || Algebra-II (Ph.D.)
2014-2015 Group Theory (Int. M.Sc.) || Field Theory (Int. M.Sc.)
2013-2014 Representations of Finite Groups (Int. M.Sc.) || General Mathematics-II (Int. M.Sc.)
2012-2013 Algebra-I (Ph.D.), Algebra-I (Int. M.Sc.) || General Mathematics-II (Int. M.Sc.) || Algebra-I (Int. M.Sc.)
2011-2012 Representations of Finite Groups (Int. M.Sc. & Ph.D.) || Algebra-II (Ph.D.)
2010-2011 Algebra-I (Int. M.Sc.), Representations of Finite Groups (Int. M.Sc.) || Topics in Group Theory (Int. M.Sc.) || Algebra-I (Int. M.Sc.)
2009-2010 Representations of Finite Groups (Int. M.Sc.) || Algebra-I (Ph.D.)

Responsibility

Member, PGCS, SMS (2022-2024)
Chairman, Integrated M.Sc.-Ph.D. Selection Committee, SMS (2022)
Member, Departmemntal Confirmation Committee for Administrative and Technical Staffs (August 2021-May 2025)
Member, UGCS, SMS (2020-2022)
Member, Employee Grievance Redressal Cell, NISER (July 2019-July 2022)
Chairman, Screening Committee for Administrative and Auxiliary Staffs (2019-2020)
Chairperson, ST/SC/OBC Cell, NISER (2017-onward)
Member, Institute House Allotment Committee (2015-onward)
Dean, Academic Affairs (November 2018 - May 2020)
Member, PGCS, SMS (2018-2020)
Member, Admission Committee for Integrate M.Sc Programme (2017, 2019, 2020)
Chairman, Ph.D. Selection Committee, SMS (2016)
Member, PGCS, SMS (2012-2016)
Member, Institute Annual Report Committee (2012-2015)
NEST Coordinator (2011, 2012, 2015)
Liaison Officer for OBC, NISER (2011–2016)
Member PhD Selection Committee, SMS (2010-2015, 2017)
Member, UGCS, SMS (2010-2018)
Member, Library Stock Verification Committee (2010-2013)
Member, PGCI (2010-2012)
Convener, PGCS, SMS (2010-2012)

Project/Thesis Guidance

Theses:

Ph.D. Thesis of Mr. Puspendu Pradhan, School of Mathematical Sciences, NISER, Bhubaneswar, 2022.
M.Sc. Thesis of Mr. Dibyayoti Dhananjay Jena, School of Mathematical Sciences, NISER, Bhubaneswar, 2019 (Ph.D. student, University of Canterbury, New Zealand).
Ph.D. Thesis of Mr. Bikramaditya Sahu, School of Mathematical Sciences, NISER, Bhubaneswar, 2018, (Faculty at National Institute of Technology, Rourkela).
M.Sc. Thesis of Mr. Ayush Kumar Tewari, School of Mathematical Sciences, NISER, Bhubaneswar, 2017 (Ph.D. from Technische Universität Berlin in 2020).
M.Sc. Thesis of Mr. Soumyadip Das, School of Mathematical Sciences, NISER, Bhubaneswar, 2014 (Ph.D. from Indian Statistical Institute, Bangalore in 2020).
M.Sc. Thesis of Mr. Muna Naik, School of Mathematical Sciences, NISER, Bhubaneswar, 2013 (Ph.D. from Indian Statistical Institute, Kolkata in 2019).

Projects:

Summer Project of Ms. Sanika Deepakrao Vaidya, Fergusson College, Pune (INSPIRE-SHE Fellowship-2022)
Summer Project of Mr. Swaraj Koley, Department of Mathematics, IIT Kharagpur (under SRF Programme-2022)
Summer Project of Mr. Bismay Das, Department of Mathematics, NIT Rourkela (NISER Summer Fellowship-2022)
Summer Project of Ms. Krishna Priya K M, SMS, NISER (DAE DISHA Fellowship-2022)
M.Sc. Project of Mr. Swaroop S Hegde, SMS, NISER, Bhubaneswar (2018-2019, Odd Semester)
Summer Project of Mr. Dibyayoti Dhananjay Jena, SMS, NISER, Bhubaneswar (2017)
Summer Project of Mr. Awanish Kumar, NISER, Bhubaneswar (2016)
M.Sc. Project of Mr. Ayush Kumar Tiwari, SMS, NISER, Bhubaneswar (2015-2016)
Summer Project of Ms. Ritika Nair, Department of Mathematics, St. Stephen's College, University of Delhi (under SRF Programme-2015)
Summer Project of Mr. Yash Travadi, Department of Mathematics and Statistics, IIT Kanpur (May 29 - July 16, 2015)
M.Sc. Project of Mr. Vaibhav Pandey, SMS, NISER, Bhubaneswar (2014-2015, Odd Semester)
Summer Project of Ms. Saswati Sinha, Dept.of Mathematics, Pondicherry University (under SRF Programme - 2014 jointly sponsored by IASc, INSA & NSAI)
M.Sc. Project of Mr. Soumyadip Das, SMS, NISER, Bhubaneswar (2011-2012, 2012-2013)
M.Sc. Project of Ms. Manasa Manjunatha, SMS, NISER, Bhubaneswar (2011-2012)
M.Sc. Project of Mr. Ankush Goswami, SMS, NISER, Bhubaneswar (2010-2011)
M.Sc. Project of Mr. Abinash Nayak, SMS, NISER, Bhubaneswar (2010-2011)

Academic Presentations

Delivered four lectures (six hours) on Group Theory during the Madhava Nurture Camp (June 20-25,2022), at Indian Institute of Technology, Bhubaneswar.
Delivered five lectures during the Online Interactive Mathematics Training on Number Theory and Algebra, August 17-21, 2020.
Minimal cut-sets in power graphs associated with maximal cyclic subgroups, National Seminar on Graph Theory and its Applications, February 27-28, 2020, Sambalpur University, Odisha, India.
Vertex connectivity of the power graph of a finite cyclic group, 9th Slovenian International Conference on Graph Theory (June 23-29, 2019), at Bled, Slovenia.
Blocking sets of tangent and external lines to a hyperbolic quadric in PG(3,q), International Congress of Mathematicians (August 1-9, 2018), Rio de Janeiro, Brazil.
Delivered six lectures at the Interactive Mathematics Training Camp (May 14-26, 2018), at Institute of Mathematics and Applications, Bhubaneswar.
Revisiting Eisenstein-type criterion over integers, at the Department of Mathematics, Central University of Odisha, Koraput (Novermber 20, 2017).
Vertex connectivity of the power graph of a finite cyclic group, The Second Malta Conference in Graph Theory and Combinatorics (June 26-30, 2017), at Qawra, Malta.
Online Mini-course in Finite Geometry and Ramsey Theory (January 11-22, 2021), Organized by Anurag Bishnoi (TU Delft) and Jozef Skokan (LSE)
Delivered a series of lectures during the one month Training Program in Mathematics (May 22-June 17, 2017), at NISER, Bhubaneswar.
Power graph of a group and its connectivity, Inter-IISER Mathematics meet (May 11-12, 2017), IISER Pune.
Delivered a series of seven lectures on Module theory for the Int.M.Sc. students in the Department of Mathematics, Central University of Odisha, Koraput, during September 19 - 27, 2016.
Delivered a series of lectures during the one month Training Program in Mathematics (May 23-June 18, 2016), at NISER, Bhubaneswar.
Standard number systems and beyond, Lecture for school children at Capital High School, Bhubaneswar (February 16, 2016), supported by Odisha Bigyan Academy.
Binary codes of the symplectic generalized quadrangles of even order, 8th Slovenian conference on Graph Theory (June 21--27, 2015), at Kranjska Gora, Slovenia.
Delivered four lectures during Interactive Mathematics Training Camp (May 13-22, 2015), at Institute of Mathematics and Applications, Bhubaneswar.
Rational and Jordan canonical forms of linear transformations, TEQIP Workshop on Functional Analysis and Applications (December 23--24, 2014), at Department of Mathematics, IIT Hyderabad.
Delivered six lectures at the NBHM sponsored programme Annual Foundation School-I (December 1--27, 2014), at NISER, Bhubaneswar.
A non-abelian representation of the dual polar space DQ(2n,2), Workshop and conference of Groups and Geometries (December 10--21, 2012), at Indian Statistical Institute, Bangalore.
Non-abelian representations of slim dense near hexagons, International conference on Incidence Geometry and Buildings (February 6--10, 2012), at Ghent University, Belgium.
Finite symplectic polar spaces of odd prime order - a characterization, International Congress of Mathematicians (August 19--27, 2010), at Hyderabad, India.
Simplicity of the projective special linear group, at F. M. College, Balasore (March 23, 2010), UGC sponsored seminar on Finite Geometry and Graph Theory.
Near polygons with three points per line, at Institute of Mathematics and Applications, Bhubaneswar, 2009.
Representations of finite geometries of prime order (February 01, 2008), at Statistics and Mathematics Unit, ISI Bangalore.

Academic Visits

Conference in Memory of Prof. Pravir Dutt, Prof. Arbind Kumar Lal and Prof. Sudipta Dutta (November 5-7, 2022), Department of Mathematics and Statistics, IIT Kanpur.
Annual Conference of Ramanujan Mathematical Society, August 05-07, 2021, organized by the Department of Mathematics, Amrita Vishwa Vidyapeetham, Coimbatore, India.
Pre-Conference Symposium of RMS Conference 2021, 4th August 2021, organized by the Department of Mathematics, Amrita Vishwa Vidyapeetham, Coimbatore, India
Online Mini-course in Finite Geometry and Ramsey Theory (January 11-22, 2021), Organized by Anurag Bishnoi (TU Delft) and Jozef Skokan (LSE).
Online Interactive Mathematics Training on Number Theory and Algebra, August 17-21, 2020.
Department of Mathematics, Sambalpur University, Odisha, India (February 27-28, 2020).
Department of Mathematics, Central University of Odisha, Koraput, India (February 24-26, 2020).
9th Slovenian International Conference on Graph Theory (June 23-29, 2019), at Bled, Slovenia.
International Congress of Mathematicians (August 1-9, 2018), Rio de Janeiro, Brazil.
Department of Mathematics, Central University of Odisha, Koraput, during November 20-22, 2017.
The Second Malta Conference in Graph Theory and Combinatorics (June 26-30, 2017), at Qawra, Malta.
Inter-IISER Mathematics meet, IISER Pune (May 11-12, 2017).
Department of Mathematics, Central University of Odisha, Koraput, during September 19-27, 2016.
Statistics and Mathematics Unit, Indian Statistical Institute, Bangalore Centre, during June 20-July 15, 2016.
8th Slovenian International Conference on Graph Theory (June 21-27, 2015), at Kranjska Gora, Slovenia.
Interactive Mathematics Training Camp (May 13-22, 2015), at Institute of Mathematics and Applications, Bhubaneswar.
TEQIP Workshop on Functional Analysis and Applications (December 23--24, 2014), at Department of Mathematics, IIT Hyderabad.
Statistics and Mathematics Unit, Indian Statistical Institute, Bangalore Centre, during June 9-July 11, 2014.
Advanced Instructional School in Algebraic Combinatorics (June 24-July 13, 2013), ISI, Bangalore.
Workshop and Conference on Groups and Geometries (December 10-21, 2012), ISI, Bangalore.
International Conference on Incidence Geometry and Buildings (February 6-10, 2012), Ghent University, Belgium.
International Conference on Buildings, Finite Geometries and Groups (August 29-31, 2010), ISI, Bangalore.
International Congress of Mathematicians (August 19-27, 2010), Hyderabad, India.
UGC sponsored seminar on Finite Geometry and Graph Theory (Mar 23, 2010), F. M. College, Balasore, Odisha.
Summer School and Advanced Workshop on Trends and Developments in Linear Algebra (June 22-July 10, 2009), ICTP, Italy.
Conference on Perspectives in Mathematical Sciences (February 04-08, 2008), ISI, Bangalore.
National Meet of Research Scholars in Mathematical Sciences (October 30-November 3, 2007), IIT Kanpur.
International Conference on Buildings and Groups (May 20-26, 2007), Ghent University, Belgium.
Department of Mathematics, Ghent University, Belgium, during May 19 - June 30, 2007.
Statistics and Mathematics Unit, Indian Statistical Institute, Bangalore (February 18-March 2, 2007).
Workshop on Group Theory: Classification of Reductive Algebraic Groups (December 18, 2006-January 5, 2007), ISI Bangalore.
International Congress of Mathematicians (August 22-30, 2006), Madrid, Spain.
Workshop on Algebra and Coding Theory (November 21–December 8, 2005), IISc Bangalore.
Conference on Low-dimensional Manifolds and Groups (July 12–24, 2004), ISI Bangalore.
Joint India-AMS Mathematics Meeting (December 17-20, 2003), IISc, Bangalore.
Instructional Workshop and International Conference on Geometric Group Theory (December 02-21, 2002), IIT, Guwahati.
Workshop on Combinatorial Methods in Group Theory and Number Theory (May 14-20, 2001), ISI Bangalore.

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