Flops for Complete Intersection CalabiYau Threefolds


We discuss flops in projective Complete Intersection CalabiYau manifolds. We explain that there are two different types of flops, whose presence and type can be read off from the GLSM charges. Of course, this can also be used to engineer manifolds that exhibit a certain flop type.

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Recent Developments in Line Bundle Cohomology and Applications to String Phenomenology


This is a conference proceeding to the Nankai Symposium on Mathematical Dialogues: In celebration of S.S.Chern's 110th anniversary.
We review progress in deriving closedform expressions for line bundle cohomologies and discuss applications to string phenomenology. We also review results from the papers [2104.03325], [2108.10323], and [2112.12106] on the structure and properties of the extended Kahler cone of CICY manifolds.

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Learning Size and Shape of CalabiYau Spaces


For the NeurIPS ML and the Physical Sciences workshop, we presented our library cymetric to compute CalabiYau metrics for any projective complete intersection CalabiYau or toric KreuzerSkarke CalabiYau.
We vastly extend to scope by implementing general point sampling methods on the CY with known distributions for any toric or projective ambient space (i.e. for any \(h^{1,1}\)). We also introduce a new architecture, the "Phi Model", which allows to find the Ricci flat metric in a fixed Kahler class.

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Geodesics in the extended Kähler cone of CalabiYau threefolds


We continue our study of the moduli space of a CalabiYau (CY) and the topology changes that can occur. We find that as one traverses the moduli space, three things can happen:

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String Pheno 2021


In the week of July 12th to July 16th 2021, Northeastern is hosting the 20th installment of the anual String Phenomenology conference, the largest conference in this field. Due to the pandemic, the conference takes place virtually.
It covers a range of topics, including

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A blood atlas of COVID19 defines hallmarks of disease severity and specificity


In a collaboration with biologists, clinicians, and mathematicians, we studied various aspects of COVID19. I used ML to answer two questions: 
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Swampland Conjectures and Infinite Flop Chains


As you walk through the moduli space of a CalabiYau (CY), the CY can change its topology. Very common topological transitions are flops. Flops can lead to new or to equivalent CYs, and there are even cases where infinitely many flops occur. This begs the question:

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Modulidependent KK towers and the Swampland Distance Conjecture on the Quintic


Take for example the KleinGordon equation \(g^{ab}\partial_a\partial_b \varphi = m^2\varphi\).
We see that the massive spectrum depends on the metric.
We can compute modulidependent CalabiYau metrics, and hence we can
compute (modulidependent) massive KK states on CalabiYau manifolds.
The swampland distance conjecture tells us that this KK tower should
become exponentially light when moving \(O(1)\) distance (in Planck units)
in moduli space (see top image). In this paper, we compute geodesics in moduli space to
see what it means to move \(O(1)\) in terms of the parameters that describe
the CY.

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