## Fall 2017

**Math 4181 Elementary Number Theory**(Moodle)**Math 7260 Homological Algebra**(with Daniel Sage)**Math 4997 VIR Seminar**on Combinatorics and Geometry of Flag Manifolds (with Daniel Sage)

## Upcoming conference

- Future Directions in Representation Theory, December 2017.

## Recent preprints

- [arXiv] (with W. Hardesty and S. Riche)
*On the Humphreys conjecture on support varieties of tilting modules* - [arXiv] (with S. Makisumi, S. Riche, and G. Williamson)
*Koszul duality for Kac–Moody groups and characters of tilting modules* - [arXiv] (with S. Makisumi, S. Riche, and G. Williamson)
*Free-monodromic mixed tilting sheaves on flag varieties*

## Ph.D. students

**Noah Winslow**- Lauren Emily Cowie
**Sean Taylor**- Jacob Matherne, Ph.D., 2016 [etd]
- Myron Minn-Thu-Aye, Ph.D., 2013 [etd]
- Laura Rider, Ph.D., 2013 [etd]
- Amber Russell, Ph.D., 2012 [etd]
- Jared Culbertson, Ph.D., 2010 [etd]

## Postdoctoral researchers

**William Hardesty**

## Other information

I was a student of David Vogan at MIT, finishing in 2001. My research deals with the geometry and combinatorics of objects arising in the representation theory of algebraic groups.- My mathematical genealogy, from the Mathematics Genealogy Project.
- My curriculum vitæ (updated July 2016).
- Pallavi Dani's webpage.