Student Publications

Hierarchical Bayesian Small Area Estimation Using Weakly Informative Priors in Ecologically Homogeneous Areas of the Interior Western Forests:
Grayson W. White, Kelly S. McConville, Gretchen G. Moisen, and Tracey S. Frescino (Frontiers in Forests and Global Change).
Saturated and Linear Isometric Transfer Systems for Cyclic Groups of Order p^mqⁿ: Usman Hafeez, Peter Markus, Kyle Ormsby, Angélica Osorno.
Orlicz-Sobolev Inequalities and the Dirichlet Problem for Infinitely Degenerate Elliptic Operators: Usman Hafeez, Theo Lavier, Lucas Williams and Lyudmila Korobenko (Electronic Journal of Differential Equations, Vol. 2021 (2021), No. 82, pp. 1-19).
Counting Weighted Maximal Chains in the Circular Bruhat Order: Gopal Goel, Olivia McGough and David Perkinson (preprint 2021).
Enumerating Linear Systems on Graphs: Sarah Brauner, Forrest Glebe and David Perkinson. Mathematische Zeitschrift, 2020
Self-Duality of the Lattice of Transfer Systems via Weak Factorization Systems: Evan E. Franchere, Kyle Ormsby, Angélica M. Osorno, Weihang Qin, and Riley Waugh (preprint 2021).
The Spectrum of the Burnside Tambara Functor for a Cyclic Group: Maxine Calle and Sam Ginnett (preprint 2020).
The Tambara Structure for the Trace Ideal of Cyclic Extensions: Maxine Calle, Sam Ginnett, Harry Chen, and Xinling Chen (Journal of Algebra Volume 560 (2020)).
Biased Permutation Equivariant Categories: Kayleigh Bangs, Skye Binegar, Young Kim, Kyle Ormsby, Angélica M. Osorno, David Tamas-Parris, and Livia Xu (Homology, Homotopy, and Applications 23 (2021), no. 1).
An Alternative Post-Stratification Scheme to Decrease Variance of Forest Attribute Estimates in the Interior West: Miranda A. Rintoul, Sarah Maebius, Edwin Alvarado, Alexander Lloyd-Damnjanovic, Mai Toyohara, Kelly S. McConville, Gretchen G. Moisen, Tracey S. Frescino (Proceedings of the 2019 Forest Inventory and Analysis Science Stakeholder Meeting)
Creating homogenous landfire vegetation classes for forest inventory applications in the Interior West: Madelon R. K. Basil, Salma Huque, Kelly S. McConville, Gretchen G. Moisen, and Tracey S. Frescino (Proceedings of the 2019 Forest Inventory and Analysis Science Stakeholder Meeting)
Simplicial Dollar Game: Jesse Kim and David Perkinson, (Electronic Journal of Combinatorics, Volume 29 (2), 2022).
Differentially Private Nonparametric Hypothesis Testing, Simon Couch, Zeki Kazan, Kaiyan Shi, and Andrew Bray, and Adam Groce. Conference on Computer and Communications Security (CCS) 2019.
Improved Differentially Private Analysis of Variance, Marika Swanberg, Ira Globus-Harris, Iris Griffith, Anna Ritz, Adam Groce and Andrew Bray. Privacy Enhancing Technologies Symposium (PETS) 2019.
Differentially Private ANOVA Testing, Zachary Campbell, Andrew Bray, Anna Ritz, and Adam Groce. International Conference on Data Intelligence and Security (ICDIS) 2018.
CompGC: Efficient Offline/Online Semi-honest Two-party Computation, Adam Groce, Alex Ledger, Alex J. Malozemoff and Arkady Yerukhimovich. Preprint 2016.
Externally Verifiable Oblivious RAM, Joshua Gancher, Adam Groce, and Alex Ledger. Privacy Enhancing Technologies Symposium (PETS) 2017
Normal forms of endomorphism-valued power-series, Chrisopher Keane and Szilárd Szabó, Preprint 2016.
Injectivity and surjectivity of the Dress Map, Ricardo G Rojas-Echenique, Journal of Pure and Applied Algebra, Volume 220 (12), 2016.
The homogeneous spectrum of Milnor-Witt K-theory, Riley Thornton, Journal of Algebra, Volume 459, 2016.
Cubes and their centers, Riley Thornton, preprint 2015.
Sandpiles and Dominos, Laura Florescu, Daniela Morar, David Perkinson, Nick Salter, and Tianyuan Xu. Electronic Journal of Combinatorics, Volume 22 (1), 2015.
Explicit Hilbert-Kunz functions of 2x2 determinental rings, Marcus Robinson and Irena Swanson. Pacific Journal of Mathematics, Volume 275, 2015.
Frobenius numbers of numerical semigroups generated by three consecutive squares or cubes, Mikhail Lepilov, Joshua O'Rourke, and Irena Swanson. Semigroup Forum, Volume 91 (1), 2015.
2x2 permanental ideals of hypermatrices, Julia Porcino and Irena Swanson. Communications in Algebra, Volume 43, 2015.
Sandpiles, spanning trees, and plane duality, Melody Chan, Darren Glass, Matthew Macauley, David Perkinson, Caryn Werner, and Qiaoyu Yang. SIAM Journal on Discrete Mathematics (SIDMA), 2014.
G-parking functions and tree inversions, David Perkinson, Qiaoyu Yang, and Kaui Yu. Combinatorica, 2015.
- Related paper: Parking functions and tree inversions revisited, by Petar Gaydarov and Sam Hopkins, Advances in Applied Mathematics, 2016.
Quadratic Packing Polynomials on Sectors of \(\mathbb{R}^2\), Madeline Brandt, Preprint 2014.
Bigraphical arrangements, Sam Hopkins and David Perkinson. Transactions of the AMS, (368) 2016.
- Related paper: Multigraph Hyperplane Arrangements and Parking Functions, by Mikhail Mazin. Preprint, 2014.
Primer for the algebraic geometry of sandpiles, Jacob Perlman, David Perkinson, and John Wilmes. Tropical and Non-Archimedean Geometry, Contemp. Math., 605, Amer. Math. Soc., Providence, RI, 2013.
Orientations, semiorders, arrangements, and parking functions, Sam Hopkins and David Perkinson. The Electronic Journal of Combinatorics, Volume 19 (4), 2012.
A Note on the Critical Group of a Line Graph, David Perkinson, Nick Salter, and Tianyuan Xu. The Electronic Journal of Combinatorics, Volume 18 (1), 2011.
Some facets of the polytope of even permutation matrices, with Jeffrey Hood, Linear Algebra and its Applications, 381 (2004).