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The moduli space M_g of genus g curves (or Riemann surfaces) is a central object of study in algebraic geometry. Its cohomology is important in many fields. For example, the cohomology of M_g is the same as the cohomology of the mapping class group, and is also related to spaces of modular forms…

An interesting phenomenon in optics is that it is possible to see a personbehind a shower curtain better than that person can see us. This effect hasbeen referred to as the shower curtain effect.We address the challenge of giving a mathematical description of thisphenomenon. In addition, we…

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Fano varieties are one of the three building blocks of algebraic varieties.In this talk, we will discuss how to describe a general n-dimensional Fano variety.Although there is no consensus on how to answer to this question, we will explore some new invariants motivated by…

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