### Mathematical Interests

Analytic Number Theory (Mainly, elementary arithmetic functions, Ramanujan sums and related results), Algebraic number theory, Representation theory, Jacquet-Langlands theory

### Journal Publications

- Certain Weighted Averages Involving Generalized Ramanujan Sums, Ramanujan Journal, 2016
- On Counting Twists of a Character Appearing in its Associated Weil Representation, Proc. Indian Acad. Sci. (Math. Sci.) Vol. 121, No. 1, 2011, pp. 1-18
- (with Rajat Tandon) Completing an extension of Tunnell’s theorem, J. Number Theory 128 2008, pp. 1622-1636.

### Ph.D. Thesis

- Submitted to the University of Hyderabad in September, 2008
- Defended in June 2009
- Thesis Supervisor : Prof. Rajat Tandon, Department of Mathematics & Statistics, University of Hyderabad
- Thesis : Characters appearing in the Weil representation of a regular character (Download the full PDF from
*here*or chapter wise contents from the Shodhganga@INFLIBNET Centre available at*this link*.), 2009

### UGC Minor Research Project

**Title : Certain Weighted Averages Involving Generalized Ramanujan Sums** (Funded by the University Grants Commission (UGC) of India under its *Minor Research Project Scheme*: Period June 2014 to November 2015 )

### Presence in research sites

### Courses taught

**M.Sc. Mathematics (Graduate)**

- Galois Theory (Field Theory)
- Graph Theory
- Analytic Number Theory
- Linear Algebra
- Rings and Modules
- Topology
- C Programming
- Multi variable Calculus
- Differential Equations

**B.Sc. Mathematics (Undergraduate)**

- Real Analysis
- Algebra
- LaTeX & Python Programming