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Former Doctoral Students in Algebra (1990-present)

  • 2026:

    Ali Alsetri (Shao) The Interaction Between Additive and Multiplicative Structures in Arithmetic Settings.

  • 2025:
    • Sara Church (Manon): Blow-ups and Projectivized Toric Vector Bundles.
    • Casey Hill (Manon): The Algebra of SL_4-Conformal Blocks.
  • 2024:
    • John Hall (Leep): Pairs of Quadratic Forms over p-Adic Fields.
    • Kathryn Hechtel (Gluesing-Luerssen): Properties of Skew-Polynomial Rings and Skew-Cyclic Codes.
    • Michael Morrow (Nagel): Computational Methods for OI-Modules.
  • 2023:
    • Courtney George (Manon): Toric Bundles as Mori Dream Spaces.
    • Angela Hanson (Jensen): Surjectivity of the Wahl map on cubic graphs.
    • Benjamin Jany (Gluesing-Luerssen): q-Polymatroids and their application to rank-metric codes.
    • Noah Speeter (Jensen): Methods of computing graph gonalities.
  • 2022:
    • Joseph Cummings (Manon):  Tropical Geometry of T-Varieties with Applications to Algebraic Statistics.
  • 2021:
    • Darleen Perez-Lavin (Leep): The Plus-Minus Davenport Constant of Finite Abelian Groups.
    • Deborah Blevins (Leep): The Smallest Solution of an Isotropic Quadratic Form.
    • Jay White (Nagel): Maximums of Total Betti Numbers in Hilbert Families.
    • Hunter Lehmann (Gluesing-Luerssen): Weight Distributions, Automorphisms, and Isometries of Cyclic Orbit Codes.
    • Kaelin Cook-Powell (Jensen): On the Brill-Noether Theory of Curves in Hurwitz Spaces.
    • Drew Duncan (Leep): Solubility of Additive Forms over Local Fields.
  • 2020:
    • Aida Maraj (Nagel): Algebraic and Geometric Properties of Hierarchical Models.
    • Rachel Petrik (Leep): Solutions to systems of equations over finite fields.
    • Nandita Sahajpal (Leep): Simultaneous zeros of a system of two quadratic forms.
    • Kalila Sawyer (Jensen): Scrollar invariants of tropical chains of loops.
    • Bill Trok (Nagel): Geometry of linear subspace arrangements with connections to matroid theory.
  • 2019:
    • Jared Antrobus (Gluesing-Luerssen): The State of Lexicodes and Ferrers Diagram Rank-Metric Codes.
    • Tefjol Pllaha (Gluesing-Luerssen): Equivalence of Classical and Quantum Codes.
  • 2017:
    • Isaiah Harney (Gluesing-Luerssen): Colorings of Hamming-Distance Graphs.
    • Luis Sordo Vieira (Leep): On p-adic Fields and p-Groups.
  • 2016:
    • Jonathan Constable (Leep): Kronecker's Theory of Binary Bilinear Forms.
    • Neville Fogarty (Gluesing-Luerssen): On Skew-Constacyclic Codes.
  • 2015:
    • Nicholas Armenoff (Nagel): Free Resolutions Associated to Representable Matroids
    • William Robinson (Nagel): Determinantal Ideals from Symmetrized Skew Tableaux
    • Carolyn Troha (Gluesing-Luerssen): Analysis and Constructions of Subspace Codes
  • 2014:
    • Scott Brewer (Enochs): Algebraic Properties of Formal Power Series Composition.
    • Sema Gunturkun (Nagel): Homogeneous Gorenstein Ideals and Boij Söderberg Decompositions.
    • Ray Kremer (Enochs): Homological Algebra with Filtered Modules.
    • Casey Monday (Enochs): A Characterization of Serre Classes of Reflexive Modules Over a Complete Local Noetherian Ring.
    • Furuzan Ozbek (Enochs): Subfunctors of Extension Functors.
    • Stephen Sturgeon (Nagel): Boij-Söderberg Decompositions, Cellular Resolutions, and Polytopes.
  • 2012:
    • David Cook II (Nagel): Lefschetz Properties and Enumerations.
    • Aleams Barra (Gluesing-Luerssen): Equivalence Theorems and the Local-Global Property.
    • Dennis Moore (Nagel): Hilbert Polynomials and Strongly Stable Ideals.
    • Elizabeth Weaver (Gluesing-Luerssen): Minimality and Duality of Tail-Biting Trellises for Linear Codes.
  • 2011:
    • Laura Steil (Leep): Isometry Classes of Quadratic Forms de fined over p-adic Rings.
  • 2010:
    • Dibyajyoti Deb (Leep): Diagonal Forms and the Rationality of the Poincare Series.
  • 2008:
    • Julia Chifman (Beidleman): Direct Products and the Intersection Map of Certain Classes of Finite Groups.
    • Jack Schmidt (Enochs): Rewriting Systems for Finite Groups.
    • Sonja Petrovic (Nagel): Algebraic and combinatorial properties of certain toric ideals and applications.
    • Shawn Clift (Enochs): Generalized Witt Vectors.
    • Daniel Kiteck (Enochs): Covers of Models.
    • Rachelle Bouchat (Nagel): Algebraic properties of edge ideals.
    • Philip Busse (Nagel): Multivariate list decoding of evaluation codes with a Gröbner basis perspective
    • Gene Butcher (Enochs): A study of projective complexes
    • Erik Stokes (Nagel): The h-vectors of matroids and the arithmetic degree of squarefree strongly stable ideals.
  • 2005:
    • Alina Iacob (Enochs): Generalized Tate cohomology.
    • Todorka Nedeva (Enochs): Rings of powers series in the binomial polynomials.
    • Kathy Sharrow Pinzon (Enochs): Simple homotopy theory for cell complexes.
    • Matthew Ragland (Beidleman): On generalizations of finite groups in which normality is a transitive relation.
    • Molly Wesley (Enochs): Torsion free covers of graded and filtered modules.
  • 2002:
    • Christopher Bullock (Enochs): Chain numbers of modules
    • Mark Motley (Leep): Isomorphism classes of elliptic and hyperelliptic function fields
    • Andrew Sills (Andrews and Sathaye): Computer-assisted explorations of Rogers-Ramanujan type identities
  • 2001:
  • 2000:
    • Dempsey, David W. (Enochs): Functors and the Preservation of Covers and Envelopes.
    • Sagandykov, Makhmud (Enochs): On Homological Structures of Transformation Groups.
    • Varbalon, Julia (Enochs): Injective and Projective Representations of Quivers.
    • Aldrich, Stephen T.(Enochs): Exact ans Semisimple Differential Graded Algebras and Modules.
    • Bevelacqua, Anthony (Leep): Isotropy of 4-dimensional torsion quadratic forms over F(x,y) for certain fields F.
    • Zaman, Naveed (Enochs): Minimal Generators.
  • 1999:
    • Faulkner, Leanne (Coleman): Engel Properties of Modular Group Algebras.
  • 1998:
    • Starr, Colin (Leep): Sums of Squares of Polynomials in R[x1,...,xn].
    • Aubuchon, Christopher (Enochs): A Functor from the Category of Complexes of Left R-Modules to the Category of Left R()-Modules.
  • 1997:
    • Ashby, William Todd (Enochs): The Characterization of Graded Principal Ideal Domains and Graded Torsion Free Covering Modules.
    • Xu, Jinzhong (Enochs): Flat Covers of Modules.
  • 1996:
    • Schueller, Laura (Leep): Pairs of Quadratic Forms over Arbitrary Fields.
    • Yi, Okyeon (Enochs): Local Nilpotence of Envelopes and Universal Enveloping Algebras.
  • 1995:
    • Bronstein, Albert (Enochs): On Representations of Quivers.
  • 1994:
    • Brooks, Clayton (Enochs): Homotopy Theory of Modules.
    • Cyrus, Vivian (Enochs): The Category of Monoids.
  • 1992:
    • Park, Sangwon (Enochs): The Macaulay-Northcott Functor.
  • 1991:
    • Akatsa, Victor (Enochs): Flat Envelopes and Negative Torsion Functors.
    • Stenerson, Jon (Sathaye): Space Curves as Set-Theoretic Complete Intersections.
    • Branner, Frank (Enochs): On the Projective Functor.
    • Lilly, Glenn (Enochs): The Cl Generalization of Bailey's Transform and Bailey's Lemma.
  • 1990:
    • Yeomans, Charles (Leep): Quintic Forms over Finite and Local Fields.
    • Goddard, Mark (Enochs): Projective Covers of Complexes.