
Academic Activities I have taught the following courses in the past:
 An introduction to Algebra & Matrix Analysis
 Calculus
 Introduction to Analysis and Differential Equations
 Commutative Algebra
 Linear Algebra
 Advanced Matrix Theory
 Real and Complex Analysis
 Number Theory
 Algebra
 Some advanced topics in Number Theory
 Algebraic Coding Theory
 Topology
 Graph Theory
 Differential Equations, Fourier Series, Integral Transforms and Complex Analysis
PhD students:
 Dr. Amit Kumar Sharma, MacWillimas type identities for some weight enumerators and their applications [PhD thesis defended on Oct. 14, 2016 at IIT Delhi]. I am his primary advisor; myself and Amit wrote 10 papers which form his complete thesis.
 Dr. Saroj Rani, Constacyclic codes [PhD thesis defended on Dec. 06, 2016 at IIT Delhi].
 Dr. Taranjot Kaur, Additive codes [PhD thesis defended on Aug. 02, 2017 at IIT Delhi].
 Dr. Rahul Gangopadhyay, Rectilinear Crossing Number of Uniform Hypergraphs [PhD thesis defended on August 20, 2020 at IIIT Delhi].
His Primary advisor is Dr. Saswata Shannigrahi, Associate Professor, Department of Mathematics and Computer Science, St. Petersburg State University, Saint Petersburg, Russia.
 Dr. Tania Sidana, Constacyclic codes over finite commutative chain rings [PhD thesis defended on Nov. 28, 2020 at IIITDelhi].
 Dr. Varsha Chauhan, Multitwisted codes over finite fields and their generalizations [PhD thesis defended on February 1, 2021 at IIITDelhi].
 Mr. Sandeep Sharma [joined in July 2018].
 Ms. Monika Yadav [joined in July 2018].
Funded Projects:
 Project entitled "Repeatedroot constacyclic codes over finite commutative chain rings and over nonprincipal ideal rings $\mathbb{Z}_{p^s}[u]/\langle u^e \rangle$" has been approved for funding under Extra mural Research (EMR) funding scheme of DSTSERB (PI: Anuradha Sharma).
 Project entitled "Multitwisted codes over various finite commutative rings and their generalizations" has been approved under Mathematics Research Impact Centric Support (Matrics) scheme of DSTSERB (PI: Anuradha Sharma).
 I am also member of the team of faculty members from IIITDelhi, whose proposal to create a Technology Innovation Hub (TIH) at IIITDelhi is accepted by DST for a funding of around 100 Crores for 5 years. I am the only Mathematician in this team.
My role is design efficient block chains and homomorphic secret sharing schemes for ensuring the privacy and security of data used in different application domains, e.g. healthcare, education, etc.
 Completed a project entitled "A study of quantum errorcorrecting codes" under SERC Fast Track scheme for young scientists (PI:
Anuradha Sharma).
Professional Activities:
 A reviewer for Mathematical reviews of Americal Mathematical Society.
 A reviewer for ZbMATH.
 A reviewer for IEEE Transactions on Information Theory; Designs, Codes and Cryptography; Discrete Mathematics; Discrete Applied Mathematics; Journal of the Franklin Institute; Finite Fields and their applications; Turkish journal of Mathematics; Journal of Applied Mathematics and computing; Journal of Combinatorial Mathematics and combinatorial computing; Journal of Algebra Combinatorics, Discrete Structures and Applications; Journal of the Korean Mathematical Society; Indian Journal of Pure and Applied Mathematics; Journal of the Franklin Institute; International Journal of Computer Mathematics  Computer Systems Theory; Cryptography and Communications.

Participated and delivered lectures in many National and International Conferences and Workshops.
Conferences and Workshops organized:
 Organized an AIS/IST on "Grï¿½bner Bases and their Applications" at IIITDelhi during Dec. 1123, 2017 (Coorganizer: Prof. J. K. Verma, Department of Mathematics, IIT Bombay).
 Coconvener of Chandigarh Symposium in Mathematics during February 29, 2008 to March 1, 2008.
 Tutor in Mathematics Training & Talent Search programme O level (sponsored by NBHM) organised by the Department of
Mathematics, Panjab University, Chandigarh, during 29th May25th June 2005.
