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, (preprint 2019).
• 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).