Dr. Anantadulal Paul - Algebraic Geometry - Young Scientist Award 🏆 

International Centre for Theoretical Sciences (ICTS) - India

Professional Profiles

Early Academic Pursuits

His journey in the field of mathematics began with a solid foundation laid during his early academic years. Born on February 28, 1992, in India, he showed an early aptitude for mathematics. His secondary education at G.P.L.M. High School and higher secondary at Suri Zilla School saw him excel, achieving aggregate scores of 85% and 84%, respectively. This academic prowess paved the way for his pursuit of higher education in mathematics.

He completed his Bachelor of Science in Mathematics from Burdwan Raj College, University of Burdwan, in 2012 with an impressive aggregate of 70%. His quest for knowledge led him to the University of Pune, where he earned his Master of Science in Mathematics in 2015, with an aggregate score of 67%. These formative years were crucial in developing his interest and expertise in Algebraic Geometry, Algebraic Varieties, and Polynomial Equations.

Professional Endeavors

His professional journey took a significant leap when he joined the National Institute of Science Education and Research (NISER) in Bhubaneswar for his Ph.D. His doctoral research focused on enumerative geometry, a branch of Algebraic Geometry concerned with counting the number of solutions to polynomial equations. Under the guidance of Dr. Ritwik Mukherjee, he delved into the theory of Gromov-Witten invariants and the enumeration of singular curves with prescribed tangency conditions. His thesis, "Enumeration of Singular Curves with Prescribed Tangencies," is a testament to his deep understanding and innovative approach in this field.

Since January 2022, he has been pursuing postdoctoral research at the International Centre for Theoretical Sciences (ICTS) in Bengaluru, under the mentorship of Prof. Rukmini Dey. His research continues to explore the complexities of Algebraic Geometry and related fields, including Complex Geometry and Algebraic Topology.

Contributions and Research Focus in Algebraic Geometry

His research contributions are significant and varied. His work primarily revolves around enumerative geometry, focusing on the theory of Gromov-Witten invariants and the enumeration of algebraic varieties with singularities and tangency conditions. He has co-authored several influential papers, including "Enumeration of Rational Curves in a Moving Family of P2" and "Counting Rational Curves with an m-fold Point." These publications, appearing in reputable journals such as Bull. Sci. Math. and Adv. Math., highlight his ability to address complex problems in Algebraic Geometry.

He has also explored the relationship between Gromov-Witten invariants and Gopakumar-Vafa invariants, aiming to bridge gaps between different mathematical theories. His ongoing projects include studies on tropical rational plane curves, enumeration of planar curves via torus action, and the algebraic properties of CMC surfaces in Lorentz-Minkowski space.

Accolades and Recognition

Throughout his academic and professional career, Anantadulal has received several accolades that recognize his contributions to mathematics. Notably, he was awarded the CSIR-NET-JRF fellowship from July 2016 to July 2021, supporting his Ph.D. studies in India. His recognition extends beyond financial support, as he has been invited to present his research at numerous national and international conferences.

He has presented talks and posters at prestigious events such as the J-Holomorphic Curves and Gromov-Witten Invariants conference at NISER, the Differential Topology seminar at North-Eastern Hill University, and the Winter School on Enumerative Geometry and Modular Forms in Germany. These presentations have showcased his research on algebraic varieties and polynomial equations to a broader academic audience.

Impact and Influence

His work in Algebraic Geometry has had a significant impact on the mathematical community. His innovative approaches to enumerative problems and his exploration of complex geometrical structures have advanced the understanding of algebraic varieties and polynomial equations. His contributions have influenced both theoretical research and practical applications, providing new tools and methodologies for solving complex problems in mathematics.

As a postdoctoral researcher at ICTS, Anantadulal continues to mentor students and collaborate with other researchers, fostering a collaborative environment that encourages the exchange of ideas and the development of new mathematical theories. His teaching roles at NISER and ICTS have also allowed him to impart his knowledge and inspire the next generation of mathematicians.

Legacy and Future Contributions

Looking forward, his legacy in the field of Algebraic Geometry is poised to grow. His current research projects promise to yield new insights into the geometry of algebraic curves with arbitrary singularities and tangency conditions. He aims to continue exploring the GW/DT correspondence and its implications for Gopakumar-Vafa invariants, potentially unlocking new avenues of research in both Algebraic Geometry and Algebraic Topology.

Notable Publications

Anantadulal Paul | Algebraic Geometry | Young Scientist Award

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