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 IIIT-Delhi].
  • Dr. Varsha Chauhan, Multi-twisted codes over finite fields and their generalizations [PhD thesis defended on February 1, 2021 at IIIT-Delhi].
  • Mr. Sandeep Sharma [joined in July 2018].
  • Ms. Monika Yadav [joined in July 2018].

Funded Projects:
  • Project entitled "Repeated-root constacyclic codes over finite commutative chain rings and over non-principal ideal rings $\mathbb{Z}_{p^s}[u]/\langle u^e \rangle$" has been approved for funding under Extra mural Research (EMR) funding scheme of DST-SERB (PI: Anuradha Sharma).
  • Project entitled "Multi-twisted codes over various finite commutative rings and their generalizations" has been approved under Mathematics Research Impact Centric Support (Matrics) scheme of DST-SERB (PI: Anuradha Sharma).
  • I am also member of the team of faculty members from IIIT-Delhi, whose proposal to create a Technology Innovation Hub (TIH) at IIIT-Delhi 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 error-correcting 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 "Gr�bner Bases and their Applications" at IIIT-Delhi during Dec. 11-23, 2017 (Co-organizer: Prof. J. K. Verma, Department of Mathematics, IIT Bombay).
  • Co-convener 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 May-25th June 2005.