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ncatlab.org
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nLab is a collaborative online wiki for higher mathematics, especially category theory and its higher-categorical, homotopical, and geometric contexts. It provides definitions, explanations, and research notes on concepts across algebra, topology, and geometry.
More resources on Surfaces
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nLab: Algebraic Surface
Overview and references
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Stacks Project
Chapter on surfaces and more
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Enriques Surfaces
Talk on special surfaces
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Introduction to Algebraic Surfaces
Lecture series on classification of surfaces
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Algebraic Geometry (covers surfaces)
Learn algebraic geometry with a focus on surfaces! This course by Ulf Persson explores surface geometry deeply.
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mathworld.wolfram.com
MathWorld is Wolfram’s comprehensive online mathematics encyclopedia offering in-depth articles on topics ranging from geometry and surfaces to algebra and calculus, with definitions, theorems, diagrams, equations, and extensive cross-references.