Mentoring
I served as a mentor for two students's reading project as part of the UCSB Directed Reading Program (DRP) during Winter–Spring 2025:
Pico Gilman : Algebraic K-Theory
Brandon Jensen : Category Theory and Functors
Spring 2025 : Differential Equations
Instructor: I served as an instructor for the course Math 4B: Differential Equations during Spring 2025 at the University of California, Santa Barbara, USA. The broad topics covered in the course included: First order ODEs ( Linear, Separable), Autonomous, Numerical approximation, Slope Fields, Second order ODE, Higher order (Constant coefficient), System of Linear ODEs, Introduction to PDEs. pdf.
Winter 2025 : Vector Calculus
Instructor: I served as an instructor for the course Math 6B: Vector Calculus with Applications during Winter 2025 at the University of California, Santa Barbara, USA. The broad topics covered in the course included: Vector fields, Gradient, Divergence, Curl, Green's Theorem, Stokes Theorem, Divergence Theorem, Fourier Series, Introduction to Partial Differential Equation. See the course outline pdf.
Winter 2025 : Differential Equations
Instructor: I served as an instructor for the course Math 4B: Differential Equations during Winter 2025 at the University of California, Santa Barbara, USA. The broad topics covered in the course included: First order ODEs ( Linear, Separable), Autonomous, Numerical approximation, Slope Fields, Second order ODE, Higher order (Constant coefficient), System of Linear ODEs, Introduction to PDEs. pdf.
Fall 2024 : Transition to Higher Mathematics
Instructor: I served as an instructor for the course Math 8: Transition to Higher Mathematics during Fall 2024 at the University of California, Santa Barbara, USA. The broad topics covered in the course included: sets, logic, quantifiers, proofs, mathematical induction, arithmetic of integers, relations and functions, cardinality (countable and uncountable sets), counting, etc. See the course outline pdf .
Summer 2023 : (Topology)
Teaching Assistant: I served as a teaching assistant for the Topology course during the Summer Programme in Mathematics (SPIM-2023) at the Harish-Chandra Research Institute (HRI), Prayagraj, India. As part of my responsibilities, I conducted two tutorial sessions:
Session 1: It focuses on questions based on topological groups. See pdf.
Session 2: It focuses on questions based on homotopy equivalence, retract, deformation retract, contractibility etc. See pdf.