Teaching & Supervision

Teaching

• Linear Algebra and Differential Equations (MTL 1002) at IIT Delhi (Semester II, 2025 - 26).

• Analytic Number Theory  (MTL 7736/736) at IIT Delhi (Semester I, 2025 - 26).

• Algebra (MTL 5001/501) at IIT Delhi (Semester I, 2025 - 26).

• Number Theory  (MTL 145) at IIT Delhi (Semester II, 2024 - 25).

• Advanced Number Theory  (MTL 735) at IIT Delhi (Semester II, 2024 - 25).

• Algebra (MTL 501) at IIT Delhi (Semester I, 2024 - 25).

• Linear Algebra and Differential Equations (MTL 101) at IIT Delhi (Semester II, 2023 - 24).

• Calculus (MTL 100) at IIT Delhi (Semester I, 2023 - 24).

• Number Theory  (MTL 145) at IIT Delhi (Semester II, 2022 - 23).

• Advanced Number Theory  (MTL 735) at IIT Delhi (Semester II, 2022 - 23). 

• Algebra (MTL 105) at IIT Delhi (Semester I, 2022 - 23).

• Algebraic Number Theory (MTL 863) at IIT Delhi (Semester II, 2021 - 22).  

• Real and Complex Analysis (MTL 122) at IIT Delhi (Semester II, 2021 - 22).  

• Commutative Algebra (MTL 738) at IIT Delhi (Semester I, 2021 - 22).  

• Algebra (MTL 105) at IIT Delhi (Semester I, 2021 - 22).  

• Number Theory  (MTL 145) at IIT Delhi (Semester II, 2020 - 21). 

• Calculus (MTL 100) at IIT Delhi (Semester I, 2020 - 21).

• Algebra (MTL 105) at IIT Delhi (Semester II, 2019 - 20).  

• Number Theory at ISI, Kolkata for B.Stat. III (January-April 2019). 

• Introduction to Algebraic Number Theory at IMSc, Chennai, Summer school for undergraduate students (June 2014).

Outreach Activities

• Elementary Number Theory  at IWM Winter School, organized by Indian Women and Mathematics and Panjabi University, Patiala (December  18 - 27, 2023).

• Elementary Number Theory  at IWM Winter School, organized by Indian Women and Mathematics and IISER Tirupati (December  13 - 23, 2022).

• Lecture on Mathematics for STEM Mentorship Program for High School Girls, IIT Delhi (March 12, 2022).

PhD Supervision

1. Akanksha Gupta (2021MAZ8514) - ongoing.

2. Dr. Divyanshu Kala (2021MAZ8118) - A study on the zeros of Poincaré series and applications (defended on December 29, 2025).

Post-Doc Supervision

1. Dr. Sonam Garg (ANRF-NPDF), 2025 - ongoing

2. Dr. Dhananjaya Sahu (SERB-RA), 2025

3. Dr. Sonika Dhillon (Institute PDF), 2022-2024

Project Supervision

1. Ashutosh Sharma (2024MAS7067), Deepak Kumar (2024MAS7084)

   • IIT Delhi (Semester II, 2025 - 26)

   • M.Sc. Project (part II) Title: Transcendental Number Theory 

2. Astha Jain (2024MAS7068), Soumyajit Sarkar (2024MAS7126)

   • IIT Delhi (Semester II, 2025 - 26)

   • M.Sc. Project (part II) Title: Modular forms

3. Ashutosh Sharma (2024MAS7067), Deepak Kumar (2024MAS7084)

   • IIT Delhi (Semester I, 2025 - 26)

   • M.Sc. Project (part I) Title: Transcendental Number Theory 

4. Astha Jain (2024MAS7068), Soumyajit Sarkar (2024MAS7126)

   • IIT Delhi (Semester I, 2025 - 26)

   • M.Sc. Project (part I) Title: Field and Galois Theory 

5. Shambhavi Gupta (2023MAS7100)

   • IIT Delhi (Semester I, 2025 - 26)

   • M.Sc. Project (part I) Title: The basics of Commutative Algebra

6. Khushi Memon (2022EE11695), Kartikey Agrawal (2022EE11156)

   • IIT Delhi (Semester I, 2025 - 26)

   • B.Tech. Project Title: Exploring p-adic numbers and the violations to the local-global principle

7. Priyanshu Sharma (2021MT10678), Kartikeya Rajput (2021MT10922)

   • IIT Delhi (Semester II, 2024 - 25)

   • B.Tech. Project Title: Topics in Cryptography 

8. Tushar Chandel (2021MT10931)

   • IIT Delhi (Semester II, 2024 - 25)

   • B.Tech. Project Title: Topics in Number Theory

9. Ayush Shahare (2020MT60872)

   • IIT Delhi (2024 - 25)

   • M.Tech. Project Title: Algebra and Number Theory

10. Pamel (2023MAS7148)

    • IIT Delhi (Semester II, 2024 - 25)

    • M.Sc. Project (part II) Title: Elliptic Curves and Cryptography

11. Sourav Ghosh (2023MAS7140), Pamel (2023MAS7148)

    • IIT Delhi (Semester I, 2024 - 25)

    • M.Sc. Project (part I) Title: Elliptic Curves and Cryptography

12. Camilla Sidana

    • IISER Mohali, Mohali (May 8, 2024 - July 8, 2024, supported by SERB-CRG)

    • Summer Project Title: Equivalent formulations of PNT

13. Nikhil Agarwal (2020MT10825), Mayunish Agarwal (2020MT10819)

    • IIT Delhi (Semester II, 2023 - 24)

    • B.Tech. Project  Title: Modular forms

14. Nikhil P Fulmare (2019MT60755)

    • IIT Delhi (2023 - 24)

    • M.Tech. Project Title: Field Theory and Polynomial Irreducibility

15. Laishram Maikel Singh (2021MAS7122)

    • IIT Delhi (Semester II, 2022 - 23)

    • M.Sc. Project (part II) Title: Algebraic Number Theory

16. Naveen Kumar (2019MT10706), Pritesh (2019MT10717)

    • IIT Delhi (Semester II, 2022 - 23)

    • B.Tech. Project Title: Theory of Modules

17. Rishabh Swami (2021MAS7141), Laishram Maikel Singh (2021MAS7122)

    • IIT Delhi (Semester I, 2022 - 23)

    • M.Sc. Project Title: Galois theory

18. Manish Chauhan  (2020MAS7389),  Govind Singh (2020MAS7402)

    • IIT Delhi (Semester I, 2021 - 22)

    • M.Sc. Project Title: Quadratic fields

19. Yashank Singh (2017MT10756), Abhinav Sikdar (2017MT10724)

    • IIT Delhi (Semester II, 2020 - 21)

    • B.Tech. Project Title: Dirichlet's theorem for primes in arithmetic progression

20. Amit Kumar (2019MAS7065), Ritesh Raj (2019MAS7096)

    • IIT Delhi (Semester I, 2020 - 21)

    • M.Sc. Project Title: Baker's theory in linear forms in logarithms

21. Umeshwar Prasad (2019MAS7109)

    • IIT Delhi (Semester I, 2020 - 21)

    • M.Sc. Project Title: Liouville's theorem and its ramifications

22. Arushi Agrawal (2016MT60651)

    • IIT Delhi (2020 - 21)

    • M.Tech. Project Title: Liouville numbers

23. Randheer Kumar Gautam (2015MT60564)

    • IIT Delhi (2020 - 21)

    • M.Tech. Project Title: p-adic numbers and their analysis

24. Sudesh Sunil Wasnik (2016MT10637), Mani Karan Soni (2016MT10624)

    • IIT Delhi (Semester II, 2019 - 20)

    • B.Tech. Project Title: Prime number theorem

25. Suvam Mukherjee

    • BKC College, Kolkata (January - June, 2019)

    • M.Sc. Project Title: Around irrationality and rational approximation

Tutorship

• Algebra 3 at CMI, Chennai.

  • Course Instructor : Prof. Purusottam Rath (August - November, 2015).

• Commutative Algebra in AFS-2 at KSOM, Kozhikode.

  • Course Instructor : Prof. Purusottam Rath (May, 2014).