Eric Ramos

Ramos
Eric
Graduate Fellow
papers_url: 
http://arxiv.org/abs/1511.03964
http://arxiv.org/abs/1602.04405
http://arxiv.org/abs/1606.02673
http://arxiv.org/abs/1606.04514
https://arxiv.org/abs/1609.05611
https://arxiv.org/abs/1703.05535
person_type: 
Graduate
working_with: 
Ellenberg
updates: 

Spring 2016:  ERIC RAMOS has proved several deep results in the theory of FI-modules and related categories; he has two papers already posted to the arXiv (one joint with Liping Li) and another fully written.

Summer 2016:  Eric continues to work on structure theorems of FI-modules and related categories, with applications. Two of these works have been posted to the arXiv. Following this, he has begun studying configuration spaces of graphs, and stability phenomenom present in their homology groups.

Spring 2017: Eric expanded his studies on the configuration spaces of graphs. In his new work, he considers configurations of points on graphs, wherein points are allowed to collide on vertices. It is proven that the homology of these spaces provide the first non-trivial, naturally occuring, examples of FI_d-modules.

display: 
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