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Some questions from I.S.I. B. Math 2024

A discussion around Tangent spaces and pushforwards

A problem on Bright numbers | ISI/CMI UG entrance

When are holomorphic functions polynomials and some definitions around triangulated categories

Some combinatorics practise for upcoming ISI/CMI UG entrance

Problem solving for upcoming ISI/ CMI UG entrances

Structure sheaf of an affine scheme (part 1)

(Correct version) Reals and Rationals as abelian groups

Prufer Group as direct limits of cyclic groups

Exploring the Spectrum of C(X), the ring of continuous functions

A problem on direct limits and an application to a Pontriyagin Duality for Discrete Groups

Monomial Orderings and Grobner Basis

Homotopy equivalence of maps via Homology and degrees.

Some problems on Quotient Topology: Discs, Spheres and Projective Spaces

Matrix exponents, Matrix Groups, their Tangent Spaces and Lie Bracket

Problem solving : Positive Polynomials | Sum of bijections a bijection | Extension of continuous

(Correct version) Colimits of diagram on directed sets : Examples and definitions

Colimits of diagram on directed sets : Examples and definitions

Norms on Finite Dimensional Vector Spaces and Antichains on P(\mathbb{N})

When is the Unit Sphere compact?

6. Splitting Fields and algebraic closure : Some exercises from Patrick Morandi

A look at Profinite Groups

4. Galois Connections and Galois Extensions in function fields.

Extensions of Automorphisms and other problems from Patrick Morandi's Galois Theory