Deuring Correspondence and Public Key Cryptography
Supervised by Craig Costello (Microsoft Research, Redmond)
Work done between Fall 2022 and Fall 2023 (October 17, 2022 to December 07, 2023). Requirement for UArizona’s Comprehensive Exam.
Technical Reports
Young man, in mathematics you don’t understand things. You just get used to them. -John von Neumann
Lang-Nishimura theorem
Supervised by Brandon Levin (The University of Arizona, Tucson)
Work done during parts of spring and summer 2021 (March 03, 2021 to August 02, 2021). MS Thesis as an assessment option for the PhD Qualifying Exams at UArizona.
The Weil Conjectures for Elliptic Curves
Supervised by Brandon Levin (The University of Arizona, Tucson)
Work done during fall 2020 (August 24, 2020 to December 09, 2020). Requirement for UArizona’s course Math 596G.
Cousin problem for analytic hypersurface in complex space
Supervised by Ritwik Mukherjee (National Institute of Science Education and Research, Bhubaneswar)
Work done during spring 2019 (January 01, 2019 to April 19, 2019). Requirement for NISER’s course M599.
Sheaf-theoretic de Rham isomorphism
Supervised by Ritwik Mukherjee (National Institute of Science Education and Research, Bhubaneswar)
Work done during fall 2018 (August 01, 2018 to November 20, 2018). Requirement for NISER’s course M598.
Arithmetic Zeta-function
Supervised by C. S. Rajan (Tata Institute of Fundamental Research, Mumbai)
Work done during summer 2018 (June 04, 2018 to July 04, 2018). Supported by Visiting Students Research Program.
Arithmetic Geometry - II
Supervised by B. Sahu (National Institute of Science Education and Research, Bhubaneswar)
Work done during spring 2018 (January 07, 2018 to April 20, 2018). Requirement for NISER’s course M499.
Modular Forms
Supervised by M. Manickam (Kerala School of Mathematics, Kozhikode)
Work done during winter 2017 (December 08, 2017 to December 30, 2017). Supported by INSPIRE SHE.
Arithmetic Geometry - I
Supervised by B. Sahu (National Institute of Science Education and Research, Bhubaneswar)
Work done during fall 2017 (August 01, 2017 to November 17, 2017). Requirement for NISER’s course M498.
Prime Numbers
Supervised by K. Srinivas (The Institute of Mathematical Sciences, Chennai)
Work done during summer 2017 (June 05, 2017 to July 15, 2017). Supported by IMSc Summer Research Program.
Reciprocity Laws
Supervised by Chandan Singh Dalawat (Harish-Chandra Research Institute, Allahabad)
Work done during winter 2016 (December 09, 2016 to January 07, 2017). Supported by HRI Visiting Student Program.
Number Fields
Supervised by Ramesh Sreekantan (Indian Statistical Institute, Bangalore)
Work done during summer 2016 (June 01, 2016 to July 31, 2016). Supported by INSPIRE SHE.
Diophantine Approximations
Supervised by R. Thangadurai (Harish-Chandra Research Institute, Allahabad)
Work done during winter 2015 (December 13, 2015 to January 08, 2016). Supported by HRI Visiting Student Program.
Enigma Cryptanalysis
Supervised by Geetha Venkataraman (Ambedkar University Delhi)
Work done during summer 2015 (July 06, 2015 to July 26, 2015). Supported by INSPIRE SHE.
Diophantine Equations
Supervised by S. A. Katre (S. P. Pune University & Bhaskaracharaya Pratishthana, Pune)
Work done during summer 2015 (May 18, 2015 to June 16, 2015). Supported by INSPIRE SHE.