Prakash Belkale (born May 1973, Bangalore) is an Indian-American mathematician, specializing in algebraic geometry and representation theory.
[3] In 2003, together with Patrick Brosnan, Belkale disproved Maxim Kontsevich's Spanning-Tree Conjecture (first published in 1997).
We show that this conjecture is false by relating the schemes defined by Kirchhoff polynomials to the representation spaces of matroids.
[4]Belkale works on enumerative algebraic geometry, quantum cohomology and moduli spaces of vector bundles on curves (conformal blocks and strange duality), and the Schubert calculus and its connections to intersection theory and representation theory.
In 2010 he was an invited speaker at the International Congress of Mathematicians in Hyderabad and gave a talk The tangent space to an enumerative problem.