Welcome to Brundaban Sahu's Homepage

Brundaban Sahu

Associate Professor
School of Mathematical Sciences
National Institute of Science Education and Research

Ph.D., 2008, Harish-Chandra Research Institute
Thesis Advisor: Professor B. Ramakrishnan

M.Sc., 2001, Sambalpur University
B.Sc., 1999, Gangadhar Meher College

Contact Information:

School of Mathematical Sciences
NISER, Bhubaneswar
Via-Jatni, Khurdha
Odisha - 752 050, INDIA

Office: M213
Phone: +91 674 249 4098
Email: brundaban[DOT]sahu[AT]niser[DOT]ac[DOT]in
brundaban[DOT]sahu[AT]gmail[DOT]com

@ICTP, September 2014 (Thanks to Pavel Snurnitsyn for the picture)

Research Interest:

Number Theory, Modular Forms, Jacobi Forms, Representations of Numbers by Quadratic Forms

Curriculum Vitae:

sahu-curriculum.pdf

Publications and Preprints:

B. Ramakrishnan, Brundaban Sahu and Anup Kumar Singh, On the number of representations of a natural number by certain quaternary quadratic forms

B. Ramakrishnan, Brundaban Sahu and Anup Kumar Singh, Representations of squares by certain quinary and septenary quadratic forms

Moni Kumari and Brundaban Sahu, Rankin-Cohen type operators for Hilbert-Jacobi forms, To appear in KSoM Springer Proceedings in Mathematics and Statistics

Abhash Kumar Jha and Brundaban Sahu, Rankin-Cohen brackets on Jacobi forms of several variables and special values of certain Dirichlet series,

Int. J. Number Theory (15), 2019, no-5, 925-933

B. Ramakrishnan, Brundaban Sahu and Anup Kumar Singh, On the number of representations by certain quadratic forms in 8 variables,

Automorphic Forms and Related Topics, 215-224, Contemp. Math., Vol-732, American Mathematical Society, Providence, RI, 2019

Abhash Kumar Jha and Brundaban Sahu, Differential operators on Jacobi forms and special values of certain Dirichlet series,

Automorphic Forms and Related Topics, 91-99, Contemp. Math., Vol-732, American Mathematical Society, Providence, RI, 2019

Moni Kumari and Brundaban Sahu, Rankin-Cohen brackets on Hilbert modular forms and special values of certain Dirichlet series

Functiones et Approximatio Commentarii Mathematici, 58 (2018), 2, 257-268

B. Ramakrishnan, Brundaban Sahu and Anup Kumar Singh, On the number of representations of certain quadratic forms and a formula for the Ramanujan Tau function,

Functiones et Approximatio Commentarii Mathematici, 58 (2018), 2, 233-244

B. Ramakrishnan, Brundaban Sahu and Anup Kumar Singh, Representations of an integer by some quaternary and octonary quadratic forms,

In: Akbary, Amir, Gun, Sanoli (eds.) Geometry, Algebra, Number Theory and Their Information Technology Applications (GANITA)

in honor of Professor V. Kumar Murty, Springer Proceedings in Mathematics and Statistics, vol 251, pp: 383-409

B. Ramakrishnan, Brundaban Sahu and Anup Kumar Singh, On the number of representations by certain octonary quadratic forms with coefficients 1, 2, 3, 4 and 6,

International Journal Number Theory, 14 (2018), 3, 751- 812

B. Ramakrishnan, Brundaban Sahu and Anup Kumar Singh, On the representations of a positive integer by ceratin classes of quadratic forms in eight variables,

In: Andrews G., Garvan F. (eds) Analytic Number Theory, Modular Forms and q-Hypergeometric Series. ALLADI60 2016.

Springer Proceedings in Mathematics & Statistics, vol 221. Springer, Cham, pp 641-664.

Abhash Kumar Jha and Brundaban Sahu, Rankin-Cohen brackets on Siegel modular forms and Special values of Certain Dirichlet series,

The Ramanujan Journal, 44 (2017), 1, 63-73

B. Ramakrishnan and Brundaban Sahu, Evaluation of convolution sums and some remarks on cusp forms of weight 4 and level 12,

Mathematical Journal of Okayama University, 59 (2017), 71-79

B. Ramakrishnan and Brundaban Sahu, On the number of representations of certain quadratic forms in 20 and 24 variables,

Functiones et Approximatio Commentarii Mathematici, 54 (2016), 2, 151-161

B. Ramakrishnan and Brundaban Sahu, Identities for the Ramanujan Tau function and certain convolution sum identities for the divisor functions,

Number Theory, RMS-Lecture Notes Series, No. 23, 2016, 63-75

Abhash Kumar Jha and Brundaban Sahu, Rankin-Cohen brackets on Jacobi Forms and the adjoint of some linear maps,

The Ramanujan Journal, 39 (2016), 3 , 533-544

R. Osburn, B. Sahu and A. Straub, Supercongruences for sporadic sequences,

Proceedings of the Edinburgh Mathematical Society (Series 2), 59 (2016), 2, 503-518

B. Ramakrishnan and Brundaban Sahu, On the number of representations of certain quadratic forms of sixteen variables,

International Journal of Number Theory, 10 (2014), 8, 1929-1937

R. Osburn and B. Sahu, A supercongruence for generalized Domb numbers,

Functiones et Approximatio Commentarii Mathematici, 48 (2013), 1, 29-36

B. Ramakrishnan and Brundaban Sahu, Evaluation of the convolution sums ∑_{l+15m=n} σ(l)σ(m) and ∑_{3l+5m=n}σ(l)σ(m) and an application,

International Journal Number Theory, 9 (2013), 3, 799-809

R. Osburn and B. Sahu, Supercongruences for Apéry-like numbers,

Advances in Applied Mathematics, 47 (2011), 631-638

R. Osburn and B. Sahu, Congruences via modular forms,

Proceedings of the American Mathematical Society, 139 (2011), 7, 2375-2381

B. Ramakrishnan and Brundaban Sahu, Rankin-Cohen Brackets and van der Pol-Type Identities for the Ramanujan's Tau Function,

arXiv:0711.3512v1

B. Ramakrishnan and Brundaban Sahu, Rankin's method and Jacobi forms of several variables,

Journal of the Australian Mathematical Society, 88 (2010), 1, 131-143

S. Gun, F. Luca, P. Rath, B. Sahu and R. Thangadurai, Distribution of Residues Modulo p,

Acta Arithmetica, 129 (2007), 325-333

B. Ramakrishnan and Brundaban Sahu, On the Fourier expansions of Jacobi forms of half integral weight,

International Journal of Mathematics and Mathematical Sciences, Vol 2006

S. Gun, B. Ramakrishnan, B. Sahu and R. Thangadurai, Distribution of quadratic non-residues which are not primitive roots,

Mathematica Bohemica, 130 (2005), 4, 387-396

Academic Visits:

BHU, Varanasi/ Harish-Chandra Research Institute (HRI), Prayagraj (February 10--15, 2020)

Harish-Chandra Research Institute (HRI), Prayagraj (January 1--6, 2020)

Indian Institute of Technology, Guwahati (November, 2019)

Mahidol University International College, Bangkok (July, 2018)

University College Dublin (UCD). Dublin (June 5--10, 2017)

Harish-Chandra Research Institute (HRI), Allahabad (September 26- October 1, 2016)

Harish-Chandra Research Institute (HRI), Allahabad (June 29- July 9, 2015)

Harish-Chandra Research Institute (HRI), Allahabad (September 23- October 4, 2013)

Harish-Chandra Research Institute (HRI), Allahabad (December 9- 15, 2012)

Harish-Chandra Research Institute (HRI), Allahabad (July 9- 20, 2012)

Harish-Chandra Research Institute (HRI), Allahabad (December 12- 23, 2011)

University College Dublin (UCD), Dublin (July 9- 23, 2011)

Institut des Hautes Études Scientifiques (IHÉS), Paris (July 15- September 15, 2009)

Professional Positions:

Associate Professor G (July, 2017--), National Institute of Science Education and Research, Bhubaneswar

Reader-F (July 2014-June, 2017), National Institute of Science Education and Research, Bhubaneswar

Assistant Professor (August 2010-June 2014), National Institute of Science Education and Research, Bhubaneswar

Postdoctoral Fellow (Science Foundation of Ireland), November 2008-October 2010, Advisor: Professor Robert Osburn, University College Dublin

Junior/ Senior Research Fellow (August 2002-October 2008), Harish-Chandra Reserach Institute, Allahabad

NBHM Junior Research Fellow (November 2001-July 2002), Indian Statistical Institute, Bangalore

Advising:

Mr. Abhash Kumar Jha, Ph.D. 2016 (Thesis: Adjoint of some linear maps constructed using Rankin-Cohen brackets and special values of certain Dirichlet series)

Ms. Moni Kumari, Ph.D. 2018 (Thesis: Rankin-Cohen type opearators and some properties of Fourier coefficients of modular forms)

Ms. Sneha Chaubey, M. Sc. Thesis, 2012 (Title: The irrationality of zeta(3) and Apery numbers)

Mr. Ankush Goswami, M. Sc. Thesis, 2013 (Title: Some additive problems in number theory)

Mr. Priyaranjan Mallick (Project Fellow under a DST Project, 2014-2017)

Mr. Sagar Srivastava, M. Sc. Thesis, 2016 (Title: Number of representations of integers by some special quadratic forms)

Mr. Akash Jena, M.Sc. Thesis, 2017 (Title: The Kronecker-Weber Theorem and the Frobenius Density Theorem)

Mr. Swaroop S. Hegde, M. Sc. Thesis 2020 (Title: Symmetric functions and Representations of Symmetric groups)

Projects:

MATRICS (MTR/2017/000228)

Funding Organisation: SERB, Department of Science and Technology, Govt. of India.

Amount: Rs 6, 60, 000/

Duration: 2018-2021(3 Years)

Modular Forms and Supercongruences (SR/FTP/MS-053/2012)

Funding Organisation: Department of Science and Technology, Govt. of India.

Amount: Rs 12, 24, 000/

Duration: 2014-2017 (3 Years)

Courses:

M553: Classical Groups, Spring 2020

MA601: Algebra I (Graduate), Fall 2019

M101: Mathematics I, Summer 2019

MTH302: Rings and Modules, Spring 2019 (IISER, Berhampur)

M402: Representations of Finite Groups, Spring 2019

M463: Finite Fields, Fall 2018

M102: Mathematics II, Summer 2018

M402: Representations of Finite Groups, Spring 2018

M463: Finite Fields, Fall 2017

M205: Linear Algebra, Spring 2017

M101: Mathematics I, Fall 2016

M101: Mathematics I, Summer 2016

M458: Algebraic Number Theory, Spring 2016

M601: Algebra I (Graduate), Fall 2015

M560: Modular forms of one variable, Spring 2015

M302: Algebra III, Fall 2014

M307: Algebra IV, Spring 2014

M601: Algebra I (Graduate), Fall 2013

M307: Algebra IV, Spring 2013

M461: Commutative Algebra, Fall 2012

M601: Algebra I (Graduate), Fall 2012

M459: Algebraic Topology, Spring 2012

M601: Algebra I (Graduate), Fall 2011

M202: Algebra I, Fall 2011

ME601/ ME 801: Commutative Algebra, Spring 2011

M501: Topology, Fall 2010

MATH20160: Polynomial Ring and Group Theory, Spring 2009 (UCD)

Seminar:

NISER Mathematics Seminar

NISER Colloquium

Professional Member:

Ramanujan Mathematical Society

American Mathematical Society

Upcoming event(s):

Number Theory Conference (April 18--19, 2020), IIIT, New Delhi

Past events:

Lecture series on Transcendence on Commutative Algebraic Groups (December 9--15, 2019) by Professor M. Waldschmidt

Advanced Foundation School (AFS- III), July 1--27, 2019, NISER, Bhubaneswar

Workshop on Number Theory (November 30--December 6, 2018), NISER, Bhubaneswar

School and Workshop on Modular Forms and Black Holes (January 5--14, 2017), NISER, Bhubaneswar

Discussion Meeting on Automorphic Forms (December 21-27, 2016), NISER, Bhubaneswar

Click here for some past events, with links to presentations.

Link:

Click here for some usefull links.