CV (9/2020)

I received my Ph.D. from the University of Chicago in 2007. My thesis
was on the algebraic geometry of nilpotent orbits in semi-simple Lie
Algebras. I received an M.S. from The Ohio State University in 2001.
My masters thesis was on representations of braid groups. My undergraduate
work was done at the University of Alaska, Anchorage.

I am interested in topics in the intersection of representation theory, braid groups, and quantum algebras. I also have interests in topology, knot theory, mathematical biology, mathematical climate models, and I enjoy thinking about the ways in which mathematics appears in popular culture and non-mathematical texts.

__Publications:__

*Temporal stability vs. community matrix measures of stability and the role of weak interactions*. With Amy Downing, Claire Plunkett, Jayne Ackerman Lockhart, Shannon Schlater, and Matthew Liebold. Ecology Letters **23**:10 (2020) 1468-1478. (pdf)(web)

Review of *Mathematics and Cliamte* by Hans Kaper and Hans Engler. The American Mathematical Monthly, **123**:3 (March 2016) pp. 304-308 (JSTOR)

*Challenges in promoting undergraduate research
in the mathematical sciences*. With Feryal Alayont, Yuliya Babenko, and Zsuzsanna Szaniszlo. Involve,** 7**:3 (2014) 265-271. (web)

*Polar Amplification: Is Atmospheric Heat Transport Important?* With Vladimir Alexeev. Climate Dynamics, **41**:2 (2013) 533-547. (pdf)(web)

*Modeling the Impact of Afforestation on Global Climate: A 2-box EBM.* With Sriharsha Masabathula. J. Env. Stat. **4**:12 (2013). (pdf)(web)

*Topologies of Identity in Serial Experiments Lain*. Mechademia 7: Lines of Sight, Ed. Frenchy Lunning, Univ. of Minnesota Press (2012) 191-201.

*The Big Lebowski and Mathematical Logic*. __The Big Lebowski and Philosophy__, Ed. Peter Fosl, Wiley-Blackwell (2012) 24-36.

*The Krammer-Lawrence-Bigelow Representation of the Braid Groups via U_q(sl_2)*. With Thomas Kerler. Adv. Math. **228** (2011) 1689-1717. (pdf)(arXiv)(web)

*Soft Inheritance in the Hawk-Dove Model*. With Hao Do and Yixin Liu. Proc. Midstates Conference
for Undergraduate Reseach in Computer Science and Mathematics, Denison University (2011). (pdf)(web)

*Evolutionary Game Theory: The Hawk-Dove Game*. Computational Science Module for Capital University (2010) <http://www.capital.edu/cs-math/>.

__Preprints/Unpublished:__

*Bethe Ansantz for Central Arrangements of Hyperplanes.* (pdf)

*Symplectic Manifolds, Geometric Quantization, and Unitary Representations of Lie Groups.* Chicago 2nd year Topic. (pdf)

*Braid Group Representations.* OSU Masters Thesis. (pdf)

*Nilpotent Orbits and Hilbert Schemes.* (arXiv)

__Student Honors Papers:__

Isaac Kochman, *Investigations Into the Symmetric Group*, 2018. (pdf)

Khanh Q. Le, *Specializations of the Lawrence Representations of the Braid Groups at Roots of Unity*, 2016. (pdf)

Nam Tran Hoang, *A Recursive Formulation for the Rank-Sum Statistic used to detect Genomic Copy Number Variation*, 2016. (pdf)