K K BIRLA BITS Pilani, Goa Campus- India
Author Profile
Early Academic Pursuits
Abhishek Yadav, an Indian national born on September 8, 1992, has demonstrated a profound commitment to the field of mathematics from a young age. His academic journey began at Seth Shiv Lal Public School, Panthroli, where he completed his matriculation with a notable percentage of 74.17% in 2008. He continued his secondary education at Shaheed Colonel J P Janu Govt. Sr. Sec. School, Jhunjhunu, securing a percentage of 70.91% in 2010. Yadav’s dedication to mathematics became more evident as he pursued his Bachelor of Science degree in Science at Shri Radheshyam R. Morarka Govt. College, Jhunjhunu, achieving an impressive 70.95% in 2014. This solid foundation propelled him to further his studies at the prestigious Indian Institute of Technology Delhi (IIT Delhi), where he earned a Master of Science in Mathematics with a CGPA of 6.55 in 2017.
Professional Endeavors
Upon completing his M.Sc., Abhishek Yadav embarked on his Ph.D. journey at BITS Pilani KK Birla Goa Campus under the supervision of Prof. Amit Setia. His research focused on numerical analysis, specifically the “Numerical Method to Solve Singular Integral Equations with Its Application to Crack Problems.” During his Ph.D., Yadav also served as a Teaching Assistant, where he imparted knowledge in courses such as Probability and Statistics, Mathematics I (Calculus), and Mathematics II (Linear Algebra and Complex Analysis) to B.Tech and M.Sc. students. Additionally, he mentored students in the B.Sc. Online Wilp course and evaluated papers in Calculus, Linear Algebra, and Probability & Statistics.
Contributions and Research Focus
Abhishek Yadav’s research interests lie in Singular Integral Equations, Residual-Based Galerkin Scheme, Finite Element Method, and Differential Equations. His contributions to the field are evidenced by his publications in reputable journals. In 2023, he co-authored papers such as “ERROR ANALYSIS OF A RESIDUAL-BASED GALERKIN’S METHOD FOR A SYSTEM OF CAUCHY SINGULAR INTEGRAL EQUATIONS WITH VANISHING ENDPOINT CONDITIONS” and “ERROR ANALYSIS OF CHEBYSHEV POLYNOMIAL-BASED NUMERICAL METHOD FOR SYSTEM OF HYPERSINGULAR INTEGRAL EQUATIONS.” His work continued in 2024 with a significant publication, “A GEGENBAUER POLYNOMIAL-BASED NUMERICAL TECHNIQUE FOR A SINGULAR INTEGRAL EQUATION OF ORDER 4 AND ITS APPLICATION TO A CRACK PROBLEM,” which highlighted innovative numerical techniques and their applications.
Accolades and Recognition
Abhishek Yadav’s academic excellence is reflected in his numerous achievements. He ranked 147th in the CSIR-UGC JRF-June 2018, 600th in GATE 2017, and 203rd in IIT JAM-2014. His proficiency in both applied and pure mathematics is complemented by his skills in teaching, research, and experiments. Yadav is also adept with various technical tools such as LATEX, MS Word, Matlab, C, Mathematica, and Octave.
Impact and Influence
Throughout his academic and professional journey, Abhishek Yadav has participated in several workshops and faculty development programs (FDPs). Notably, he attended the Advanced Training School on Numerical PDEs and Inverse Problems at IIT Tirupati in December 2019 and the FDP on Advances in Non-linear Dynamics: Method and Applications (ANDMA 2024) organized by VIT-AP in June 2024. These experiences have enriched his understanding and expertise, allowing him to make significant contributions to the field of mathematics.
Legacy and Future Contributions
Abhishek Yadav’s legacy in the field of mathematics is marked by his innovative research and dedication to education. His work on numerical algorithms and theoretical ones has provided significant results, enhancing the understanding and application of mathematical concepts. As he continues his research, Yadav aims to explore new frontiers in numerical analysis and differential equations, contributing to the advancement of mathematical knowledge.