publications

Navigating Intrinsic Triangulations

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Sharp, Soliman, Crane
ACM Trans. on Graph., 2019
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The Vector Heat Method

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Sharp, Soliman, Crane
ACM Trans. on Graph., 2019
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Optimal Cone Singularities for Conformal Flattening
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Soliman, Slepčev, Crane
ACM Trans. on Graph., 2018
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Conformal Cone Parameterization Through Optimal Control
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Soliman
CMU MSc Thesis, 2018
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about
I am a first year PhD student at Caltech in Applied and Computational Mathematics working under the supervision of Peter Schröder.
My work is currently supported by a Kortschak Scholars Graduate Fellowship and I was awarded an NSF Graduate Research Fellowship.

Previously, I was at Carnegie Mellon University where I graduated with a BSc in Computer Science and an MSc in Mathematical Sciences. My research advisors were Keenan Crane and Dejan Slepčev.

My research interests broadly lie in the fields of differential geometry and applied analysis.
In particular, I am excited about using techniques from geometric analysis, the calculus of variations, and PDEs to develop both efficient geometry processing techniques and a deeper understanding of discrete differential geometry.