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Author Archives: Jacob Gross
MachineChecked Proof
“In my view, the choice between the conventional process by a human referee and computer verification is as evident as the choice between a sundial and an atomic clock in science.” – Tom Hales (from [4]) “The rapid advance of … Continue reading
Donaldson Turns 60
“Donaldson has opened up an entirely new area; unexpected and mysterious phenomena about the geometry of 4dimensions have been discovered. Moreover, the methods are new and extremely subtle, using difficult nonlinear partial differential equations. On the other hand, this theory … Continue reading
Posted in Algebraic Geometry, Math, Topology
Tagged Differential Geometry, Math, Topology
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Some Funding Opportunities for Graduate Students in Mathematics
Most PhD programs in the United States fund their graduate students. Yet it is still beneficial for graduate students to obtain outside funding. A graduate student’s funding may be offered in the form of a teaching fellowship, but those wishing to … Continue reading
Posted in Advice, Grad School, Starting Grad Schol
Tagged Advice, Fellowship, Grad School, scholarship
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Experience at an AMS Mathematics Research Community
The AMS Mathematics Research Communities (MRC) is an NSFfunded program to help graduate students and postdocs jumpstart their careers. Every summer the AMS runs three sessions, each on a specific subject. Budding researchers in that area work intensively with each … Continue reading
Optimal Control Theory to Settle Reinhardt’s Conjecture
The 2010’s are a Golden Age for packing problems. In 2014, Hales announced the longawaited completion of a highprofile machine proof project called FlySpeck, which verified his proof of Kepler’s conjecture. Johannes Kepler, in 1600, conjectured that the densest way to pack … Continue reading
Posted in General, Math
Tagged Control Theory, Math, Packing Problems, Reinhardt Conjecture, Sphere Packing
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