Jason DeVito
Assistant Professor

 

       

I am primarily interested in manifolds of non-negative and positive sectional curvature, especially those somehow involving Lie groups.
Here are my papers:

1. The classification of compact simply connected biquotients in dimension 4 and 5 (arXiv pdf) - Diff. Geo. Appl., Vol. 34 (2014), 128-138

2. The classification of compact simply connected biquotients in dimension 6 and 7 (arXiv pdf - submitted/under revision)

3. The classification and curvature on biquotients of the form $Sp(3)//Sp(1)^2$ (Joint with undergrads Robert DeYeso III, Michael Ruddy, and Philip Wesner) (arXiv pdf) - Ann. Glob. Anal. Geo , Vol. 46 (2014), No. 4, 389-407

4. Almost positive curvature on $T^1 \mathbb{K}P^n$ and other manifolds (arXiv pdf - submitted)

5. The classification of $SU(2)^2$ biquotients of rank $3$ Lie groups (Joint with undergrad Robert DeYeso III) (arXiv pdf - submitted)

6. Biquotients with rationally 4-periodic cohomology (In preparation)


At some point, I'd like to create a few webpages detailing the topology of all the known manifolds with quasi-, almost, or strictly positive sectional curvature.

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