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Differential Geometry Seminar: Non-Kahler Degenerations of Calabi-Yau Threefolds

It was proposed in the works of Clemens, Reid, Friedman to connect Calabi-Yau threefolds with different topologies by a process which degenerates 2-cycles and introduces new 3-cycles.

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Differential Geometry Seminar: Aspherical Complex Surfaces

The collection of manifolds is vast and diverse. One class that we can hope to understand are those which have contractible universal cover, namely aspherical manifolds. These manifolds are determined up to homotopy equivalence by their fundamental group.

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Differential Geometry Seminar: The Feynman propagator on asymptotically Minkowski spacetimes

The Feynman propagator is a fundamental object in Quantum Field Theory which is also interesting when viewed from the perspective of analysis of linear hyperbolic PDEs.

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Differential Geometry Seminar: Universal algebra and self-similarity

In this talk I will explain an interesting connection between universal (or general) algebra, and combinatorial examples of self-similarity as exemplified by structures such as the Cuntz C*-algebra or Leavitt path algebras.

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