Designation

Associate Professor

Joining Date

Expiry of Tenure

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

Publications

- S. Mukherjee, K. L. Patra and B. K. Sahoo, On the minimum cut-sets of the power graph of a finite cyclic group,
*Journal of Algebra and its Applications*, to appear. - 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, Part II.
- 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

__2023-2024__Mathematics-I (Int. M.Sc) ||__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**:

- Ph.D. projects (two) of Mr. Devjyoti Das, SMS, NISER, Bhubaneswar (2022-2023, Even Semester)
- M.Sc. Project of Mr. Kumar Vinayak, SMS, NISER, Bhubaneswar (2022-2023)
- M.Sc. Project of Mr. Prasaman Ghosh, SMS, NISER, Bhubaneswar (2022-2023, Odd Semester)
- 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 Program-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 Program-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, Department of Mathematics, Pondicherry University (under SRF Program - 2014)
- 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 Camp 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 during the program 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 (November 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.
- Delivered a series of eight lectures (12 hours) 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-NISER 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 eight lectures (12 hours) 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 the program 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 during the program Annual Foundation School-I (December 1--27, 2014), at NISER, Bhubaneswar.
- Viewing transpose of a matrix as a linear transformation, Lecture during Refresher course for college teachers (2013), at the Department of Statistics, Utkal University, Bhubaneswar.
- A non-abelian representation of the dual polar space DQ(2n,2), Workshop and conference on 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.
- Prime power conjecture, at the School of Mathematical Sciences, NISER, Bhabaneswar, 2011.
- 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 on Group Theory and Related Topics, February 27, 2023 - March 04, 2023, organized at the School of Mathematical Sciences, NISER Bhubaneswar (One of the Organizers).
- Annual Foundation School-II, June 6, 2022 - July 2, 2022, organized at the School of Mathematical Sciences, NISER Bhubaneswar (One of the Conveners).
- 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 Camp 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-NISER 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.
- Department of Mathematics, IIT Hyderabad (December 23--24, 2014).
- 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.
- Statistics and Mathematics Unit, Indian Statistical Institute, Bangalore (June 01-30, 2012).
- 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.

Sponsored Projects

**Funding****Organization**: Science & Engineering Research Board (SERB), Department of Science and Technology, Government of India;**Amount**: Rs. 27,36,096/- (Core Research Grant, File No.: CRG/2022/000344);**Duration**: 36 months (06 February 2023 - 05 February 2026).

**Funding****Organization**: Science & Engineering Research Board (SERB), Department of Science and Technology, Government of India;**Amount**: Rs. 6,60,000/- (Sanction Order No. MTR/2017/000372);**Duration**: 36 Months (25 June 2018 - 24 June 2021)

**Funding****Organization**: Science & Engineering Research Board (SERB), Department of Science and Technology, Government of India;**Amount**: Rs. 11,04,000/- (Sanction Order No. SR/FTP/MS-001/2010);**Duration**: 36 Months (04 August 2011 - 03 August 2014)