# Graduate Student Publications

Below is the list of preprints and papers written by graduate students during the course of their graduate studies at UGA.

**2017**

**Noah Lebowitz-Lockard**, *Domains with properties weaker than atomicity.*

**Noah Lebowitz-Lockard**, *Distribution functions of linear combinations of multiplicative functions.*

**Andrew Maurer,** *On the Finite Generation of Relative Cohomology for Lie Superalgebras.*

**Ziqing Xiang**, Zhen Cui and Jiacheng Xia, *Rational designs*.

**2016**

**Natalie Hobson, ***Conformal Blocks in type C at level one.*

**Hans Parshall, ***Simplices over finite fields to appear in Proceedings of the AMS.*

Neil Lyall, Akos Magyar, **Hans Parshall**, *Spherical configurations over finite fields. Submitted. *

**Luca Schaffler,** *The KSBA compactification of the moduli space of {1,6}$-polarized Enriques surfaces, (2016). Submitted. *

**2015**

**William Hardesty,** *On support varieties and the Humphreys conjecture in type A.*

**Natalie Hobson,** *Quantum Kostka and the rank one problem for sl_2m.*

**Kenneth Jacobs,** *Quantitative Logarithmic Equidistribution of Crucial Measures.*

**Kenneth Jacobs, ** *Lower Bounds for non-Archimedean Lyapunov Exponents*

John R. Doyle, **Kenneth Jacobs,** Robert Rumely, *Configuration of the Crucial Set for a Quadratic Rational Map*

**Hans Parshall,** *Small gaps between configurations of prime polynomials, *Journal of Number Theory 162 (2016), 35–53

**Luca Schaffler,** *On the cone of effective 2-cycles on M-Bar _ {0, 7},* European Journal of Mathematics, Volume 1, Issue 4 (2015), 669-694.

**Lee Troupe,** *Bounded gaps between prime polynomials with a given primitive root,* submitted.

**Lee Troupe, ***Orders of reductions of elliptic curves with many and few prime factors*

**Ziqing Xiang, ***Nonexistence of nontrivial tight 8-designs, J. of Algebraic Combinatorics, to appear*

**Matthew Zawodniak**, *A Moduli Space for Rational Homotopy Types with the Same Homotopy Lie Algebra *

**2014**

**William Hardesty,** *Support varieties of line bundle cohomology groups for SL3 (k), *J. Algebra 448 (2016), 127-173.

**Kenneth Jacobs,** *An Equidistribution Result for Dynamical Systems on the Berkovich Projective Line.*

**Lee Troupe, ***On the number of prime factors of values of the sum-of-proper-divisors function* J. Number Theory 150C (2015) pp. 120-135.