Single-author published research articles by RTG graduate students


Kübra Benli, On the number of pure fields of prime degree, Colloquium Mathematicum, to appear.

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

William Hardesty, On support varieties and the Humphreys conjecture in type A, Adv. Math. 329 (2018), 392-421.

Kenneth Jacobs, Equidistribution of the crucial measures in non-Archimedean dynamics, J. Number Theory 180 (2017), 86–138.

Kenneth Jacobs, Quantitative logarithmic equidistribution of crucial measures, Research in Number Theory, 4(1) (2018), 1-10.

Kenneth Jacobs, Lower bounds for non-archimedean Lyapunov exponents, to appear in Transactions of the AMS.

Noah Lebowitz-Lockard, Domains with properties weaker than atomicity, to appear in Communications in Algebra.

Patrick McFaddinThe group of K_1-zero-cycles on the second generalized Severi–Brauer variety of an algebra of index 4, J. Algebra 479 (2017), 192-202.

Hans ParshallSimplices over finite fields, Proc. Amer. Math. Soc. 145, no. 6 (2017), 2323-2334.

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.

Luca Schaffler, K3 surfaces with Z_2^2 symplectic action, to appear in the Rocky Mountain Journal of Mathematics.

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

Lee Troupe, Bounded gaps between prime polynomials with a given primitive root, Finite Fields Appl. 37, (2016), 295–310.

Lee TroupeOrders of reductions of elliptic curves with many and few prime factors, Int. J. Number Theory 13, no. 8 (2017), 2115–2134.

Ziqing Xiang, Nonexistence of nontrivial tight 8-designs, J. Algebraic Combin. 47, no. 2 (2018), 301–318.



Single-author preprints by RTG graduate students


Natalie Hobson, Quantum Kostka and the rank one problem for sl_2m (2015).

Natalie HobsonConformal blocks in type C at level one (2016).

Noah Lebowitz-Lockard, Distribution functions of linear combinations of multiplicative functions (2017).

Andrew Maurer, On the finite generation of relative cohomology for Lie superalgebras (2017).

Luca SchafflerThe KSBA compactification of the moduli space of D_{1,6}-polarized Enriques surfaces (2016). 

Matthew Zawodniak, A moduli space for rational homotopy types with the same homotopy Lie algebra (2015).



Published articles with RTG graduate student authors


Adrian Brunyate and Pete L. Clark, Extending the Zolotarev-Frobenius approach to quadratic reciprocity, Ramanujan J. 37 (2015), 25–50.

Pete L. Clark, Saurabh Gosavi, and Paul Pollack, The number of atoms in a primefree atomic domain, Comm. Algebra 45 (2017), 5431–5442.

Pete L. Clark and Allan Lacy, There are genus one curves of every index over every infinite, finitely generated field, To appear in J. reine angew. Math.

Pete L. Clark, Noah Lebowitz-Lockard, and Paul Pollack, A Note on Golomb topologies,To appear in Quaestiones Mathematicae.

Pete L. Clark, Marko Milosevic, and Paul Pollack, Typically bounding torsion, To appear in J. Number Theory.

John Doyle, Kenneth Jacobs, and Robert Rumely, Configuration of the crucial set for a quadratic rational map, Res. Number Theory 2 (2016), Art. 11, 16 pp.

William Hardesty, Daniel Nakano, and Paul Sobaje, On the existence of mock injective modules for algebraic groups, Bull. Lond. Math. Soc. 49 (2017), no. 5, 806–817.

Lauren Huckaba, Neil Lyall, and Ákos Magyar, Simplices and sets of positive upper density in R^d, Proc. Amer. Math. Soc. 145, no. 6 (2017), 2335–2347.

Noah Lebowitz-Lockard and Paul Pollack, Clustering of linear combinations of multiplicative functions, Journal of Number Theory, 180 (2017), 660-672.

Neil Lyall, Ákos Magyar, and Hans Parshall, Spherical configurations over finite fields, to appear in the American Journal of Math.

Paul Pollack and Lee Troupe, Two problems concerning irreducible elements in rings of integers of number fields, Bull. Aust. Math. Soc. 96, no. 1 (2017), 44–58.

Pete L. Clark and Lori Watson, ABC and the Hasse principle for quadratic twists of hyperelliptic curves  C.R. Math. Acad. Sci. Paris 356 (2018), 911-915.

Pete L. Clark and Lori Watson, Varga's theorem in number fields. INTEGERS 18 (2018), A74, 11pp.



Preprints with RTG graduate student authors


Eiichi Bannai, Etsuko Bannai, Ziqing Xiang, Wei-Hsuan Yu and Yan ZhuClassification of spherical 2-distance {4,2,1}-designs.

Kübra Benli and Paul Pollack, Small prime kth power residues for k=2,3,4: A reciprocity laws approach (2017).

A. Caminata, N. Giansiracusa, H-B. Moon, and L. Schaffler, Equations for point configurations to lie on a rational normal curve (2017).

Jordan Clark and Lori Watson, On generalizations of the Second Euclid-Mullin sequence (2017).

Zhen Cui, Jiacheng Xia, and Ziqing Xiang, Rational designs (2017).

Dino Lorenzini and Ziqing Xiang, Integral points on variable separated curves (2017).

Daniel Nakano and Ziqing Xiang, Support varieties for Hecke algebras (2017).



Published article with RTG undergraduate


Jackson Hopper and Paul Pollack, Digitally delicate primes, J. Number Theory 168 (2016), 247–256.



Published articles with RTG postdocs and other RTG members


Prakash Belkale, Angela Gibney, and Anna Kazanova, Scaling of conformal blocks and generalized theta functions over M_{g,n}_bar, Math. Z. 284 (2016), no. 3-4, 961–987.

Abbey Bourdon, Pete L. Clark, and James Stankewicz, Torsion points on CM elliptic curves over real number fields, Trans. Amer. Math. Soc. 369 (2017), no. 12, 8457–8496. 

Abbey Bourdon, Pete L. Clark, and Paul Pollack, Anatomy of torsion in the CM case, Math. Z. 285 (2017), no. 3-4, 795–820.

Abbey Bourdon and Paul Pollack, Torsion subgroups of CM elliptic curves over odd degree number fields, Int. Math. Res. Not. IMRN (2017), no. 16, 4923–4961.

Patricio Gallardo and Noah GiansiracusaModular interpretation of a non-reductive Chow quotient, to appear in the Proceedings of the Edinburgh Mathematical Society.

Ben Lund and Giorgis Petridis, Bisectors and distancessubmitted for publication.

Paul Pollack and Joseph Vandehey, Besicovitch, bisection, and the normality of 0.(1)(4)(9)(16)(25) ⋯, Amer. Math. Monthly 122 (2015), no. 8, 757–765.

Paul Pollack and Joseph Vandehey, Some normal numbers generated by arithmetic functions, Canad. Math. Bull. 58 (2015), no. 1, 160–173.

Amber Russell and Laura Rider, Perverse sheaves on the nilpotent cone and Lusztig's generalized Springer correspondence, Lie algebras, Lie superalgebras, vertex algebras and related topics, 273–292, Proc. Sympos. Pure Math. 92, Amer. Math. Soc., Providence, RI, 2016.



RTG Dissertations


Theresa Brons, Rational and line bundle cohomology for reductive algebraic groups, 2015

Adrian Brunyate, A modular compactification of the space of elliptic K3 surfaces, 2015

Allan Lacy Mora, On the index of genus one curves, 2015

William Dietrich Hardesty, On support varieties for algebraic groups, 2016

Lauren Eileen Huckaba, Simplices and sets of positive upper density in R^d, 2016

Jacob Hicks, Quadratic forms over Hasse domains: finiteness of the Hermite constant2016

Kenneth Scott Jacobs, Asymptotic behavior of arithmetic equivariants in non-archimedean dynamics, 2016

Patrick Kevin McFaddin, K-cohomology of generalized Severi-Brauer varieties, 2016

Lee Thomas Troupe, Three applications of sieve methods in analytic number theory, 2016

Maren Kathaleen Turbow, Structure theory of graded central simple algebras, 2016

Matthew David Zawodniak, A moduli space for rational homotopy types with the same homotopy Lie algebra, 2016

Brian Anthony Bonsignore, Cohomological n-equivalence of differential graded algebras, 2017

Natalie Laura Fleischmann Hobson, Vector bundles of conformal blocks in Types A and C from a combinatorial approach, 2017

Hans David Parshall, Point configurations over finite fields, 2017

Luca Schaffler, The KSBA compactification of a 4-dimensional family of polarized Enriques surfaces, 2017



To download any other UGA dissertation in pdf form, please search the UGA Electronic Theses and Dissertations