Explores modular forms, discussing pullback maps, meromorphic differentials, and the Riemann-Roch theorem.
Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.
Covers canonical divisors on Riemann surfaces and properties of modular forms.
Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.
Explores surfaces, curvature, ruled surfaces, and practical applications in geometry.
Explores surfaces with variable curvature and the profound impact of curvature sign on geometric properties.
Covers preservation, substitution, weakening, and sequencing in type systems.
Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.
Explores the Hamiltonian formalism for the harmonic oscillator, focusing on deriving Lagrangian and Hamiltonian, isolating the system, and generating new conserved quantities.
Explores surfaces with constant curvature, emphasizing the significance of minimal oriented radius and the properties of pseudo-spheres.
