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Research Interests:
Broadly my interest lies in Geometry And Analysis.
Broadly my interest lies in Geometry And Analysis.
In particular, I am interested in Inverse Problems in Differential Geometry and Partial Differential Equations.
In particular, I am interested in Inverse Problems in Differential Geometry and Partial Differential Equations.
Current position:
Doctoral Researcher
Doctoral Researcher
Jyväskylä, Finland.
Jyväskylä, Finland.
Graduation :
Graduate Student,
Graduate Student,
Master of Science(M.Sc.) in Mathematics(2021-2023)
Master of Science(M.Sc.) in Mathematics(2021-2023)
Graduate Coursework :
Analysis-I (Principles of mathematical analysis -Walter Rudin)
Algebra-I ( Linear Algebra -Kenneth hoffman and Ray kunze)
Topology ( Topology -James Munkres)
Probability Theory (Introduction to Probability -Jessica Hwang and Joseph K. Blitzstein)
Analysis-II (Real Analysis -Elias M. Stein & Rami Shakarchi)
Algebra-II (Abstract Algebra -David S. Dummit & Richard M. Foote, Introduction to Commutative Algebra Textbook -Michael Atiyah)
Complex Analysis (Complex Function Theory Book -Donald Sarason, Terrence Tao’s Lecture Notes 246A)
Ordinary Differential Equations (Lectures on ordinary differential equations -Witold Hurewicz)
Algebraic Topology (Introduction to Topological Manifolds -John M. Lee, Algebraic topology -Allen Hatcher)
Functional Analysis (A Course in Functional Analysis -John B. Conway)
Introductory Partial Differential Equations (Partial differential equations -Lawrence C. Evans)
Algebra-III (Abstract Algebra -David S. Dummit & Richard M. Foote)
Number Theory (Introduction to Analytic Number Theory -Tom M. Apostol , Introduction to Analytic and Probabilistic Number Theory -Gérald Tenenbaum)
Introduction to Topology and Geometry( Introduction to Smooth Manifolds -John M. Lee)
Differential Geometry ( Elementary Differential Geometry-Christian Bar)
Modular Forms (Modular forms-Toshitsune Miyake)
Introduction to Hyperbolic Geometry (Fuchsian Groups-Svetlana Katok)
Undergraduation:
Undergraduate Student,
Undergraduate Student,
Bachelor Of Science Mathematics(2018-2021)
Bachelor Of Science Mathematics(2018-2021)
Undergraduate Coursework :
Group & Ring Theory (Contemporary Abstract Algebra, Joseph A. Gallian)
Real Analysis (A basic course in Real Analysis by Ajit Kumar and S. Kumaresan & Introduction to Real Analysis by Robert G. Bartle, Donald R. Sherbert)
Computational Ordinary & Partial Differential Equations ( Ordinary and Partial Differential Equations by M. D. Raisinghania)
Topology Of Metric Spaces (Topology of Metric Spaces by S. Kumaresan)
Calculus on R^n (No specific book is followed)
Linear Algebra (Linear algebra done right by Sheldon Axler)
Complex Analysis (Complex Variables and Applications by James Ward Brown and Ruel V Churchill)
Numerical Analysis (No specific book is followed)
Discrete Mathematics (No specific book is followed)
Schooling:
Scientific programs attended / to attend:
- Web-Workshop on Metric Spaces @Online, Prof. B. L. Sharma, Higher Mathematics Trust, Prayagraj, U.P., 2020.
- Introduction to Linear Algebra @Online, Jabalpur Engineering college, Jabalpur, India, 2020.
- A Short Course on Real Sequences @Online, MTTS, India, 2020.
- MTTS Follow-up Programme On “A Conceptual Introduction to Several Variable Calculus” @Online, India, 2021.
- MTTS Level 1 Follow Up Programme LinearAlgebra 2021.
- MTTS Level 2 Follow Up Programme Topology 2021.
- Summer Program in Mathematics (SPIM) @ KSCSTE-Kerala School of Mathematics (KSoM), Kozhikode, Kerala, India.
- AFS-III - Annual Foundation School - III(2022) @ Indian Institute of Technology Guwahati, Guwahati, Assam, India.
Teaching experience:
Academic Services:
Talks Delivered:
- Gave a talk on ”On the Uniqueness of the Cyclic Group of Order n” on a paper published by Dieter Jungnickel As a part of Algebra-II course @ KSCSTE-Kerala School of Mathematics, 2022.
- Gave a talk on ”Kummer extensions” as a part of Algebra-III course @ KSCSTE-Kerala School of Mathematics, 2022.
- Gave a talk on ”Carmichael numbers” as a part of Number Theory course @ KSCSTE-Kerala School of Mathematics, 2022.
- Gave a talk on ”Four Vertex Theorem” as a part of Differential Geometry course @ KSCSTE-Kerala School of Mathematics, 2023.
- Gave a talk on ”Fuhsian Group and Fundamental Domain” as a part of Modular Forms course @ KSCSTE-Kerala School of Mathematics, 2023.
- Gave a talk on ”Compact Sobolev Embedding” as a part of Inverse problems course @ Department of Mathematics and Statistics University of Jyväskylä, 2024.
Workshop or Conferences attended / to attend:
- Workshop On "Exploring the Universe" @Shri Lal Bahadur Shastri Degree College,Gonda & ICARD,DDU Gorakhpur University, Gorakhpur, Uttar Pradesh, India, 2019.
- Interactions in Several Complex Variables-2022 @ KSCSTE-Kerala School of Mathematics (KSoM), Kozhikode, Kerala, India.
Achievement Or Awards:
- Madhava Mathematics Competition in 2019 & 2021 , Department of Mathematics, S.P. College Pune and Homi Bhabha Centre for Science Education, T.I.F.R., Mumbai, India.
- Qualified IIT JAM (Joint Admission test for Masters), 2021.
- Masters Scholarship, KSCSTE-Kerala School of Mathematics, India, 2021-Current.
- Travel/accommodation support to attend Mini-MTTS or MTTS programs, India, 2019.
- Qualified Joint CSIR UGC NET, India -June 2022.
- Summer Research Fellow, Indian Academy of Sciences, Bengaluru, India-2023(Not Availed)
Apart from Mathematics, I am interested in Mythology & Psychology. I love watching movies,
Apart from Mathematics, I am interested in Mythology & Psychology. I love watching movies,
playing Badminton and chess, and traveling to places, also I enjoy problem-solving.
playing Badminton and chess, and traveling to places, also I enjoy problem-solving.
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