Homotopy, Reparameterization|Algebraic Topology|Lecture 2#phdinterview #phd #topology

📚Welcome to Lecture 2 of the Algebraic Topology course by Saurish Gupta (PhD Scholar, IISER Bhopal). In this lecture, we continue our study of Homotopy and develop a deeper understanding of how paths and homotopies behave under different transformations. 🔹 Topics Covered: Homotopy Continuation Reparameterization of Paths Detailed explanation with examples Understanding the geometric intuition behind homotopies Important observations and results useful for further study This lecture is designed to build a strong foundation for more advanced topics in Algebraic Topology, particularly the Fundamental Group and related concepts. 🎓 Instructor: Saurish Gupta 🔬 PhD Scholar, IISER Bhopal 🏆 CSIR NET December 2025 – JRF AIR 63 If you find the lecture helpful, LIKE 👍, SHARE 📢 and SUBSCRIBE 🔔 to JSG Maths Excellence for more lectures on higher mathematics. #AlgebraicTopology #Homotopy #Reparameterization #HomotopyContinuation #Topology #Mathematics #JSGMathsExcellence #SaurishGupta #HigherMathematics #FundamentalGroup