Student Publications

• 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).