Generate a highly detailed, photorealistic image featuring a brilliant mathematician, a person aged 28-35, with an intense and focused expression, deeply engaged with a complex problem. They should be standing in a well-lit, academic setting in front of a large, vintage green chalkboard. The chalkboard must be meticulously covered, from edge to edge, with intricate handwritten mathematical equations, advanced physics formulas, and theoretical diagrams, all appearing authentic and densely packed. The mathematician should be in a posture of thought, perhaps holding a piece of chalk or a marker, with a subtle indication of chalk dust. Capture this scene in a medium shot, allowing for clear visibility of both the individual's contemplative expression and the extensive, detailed work on the chalkboard. The overall atmosphere should convey deep intellectual rigor and discovery.