Algebra, Algebraic Geometry & Combinatorics
Mathematicians use algebra to represent symmetries and other patterns
and to perform calculations that reveal geometric and other structures.
Algebra research in the department includes programs involving
combinatorics, representation theory, Lie theory, algebraic geometry,
group theory, coding theory, and cryptography.
Research Advisors for Algebra, Algebraic Geometry & Combinatorics
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Jason LeGrow , bioProfessor LeGrow's research is in the design, analysis, and optimization of isogeny-based cryptographic protocols.
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Nick Loehr , bioProfessor Loehr conducts research in algebraic combinatorics. His work focuses on the combinatorics of symmetric functions, quasisymmetric functions, lattice paths, and tableau-like structures. These objects encode remarkable algebraic information about group representations, polynomial invariants, and Lie algebras.
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Gretchen Matthews , bioProfessor Matthews' research is in applications of algebraic geometry to data storage, protection, and security, especially coding theory and cryptography.
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Leonardo Mihalcea , bioAssociate Professor Mihalcea studies classical and quantum intersection rings for flag manifolds and related algebraic varieties, an area combining techniques from Algebraic Geometry, Combinatorics, and Geometric Representation Theory.
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Bio ItemTravis Morrison , bio
Professor Morrison's research is in algorithmic number theory and applications to cryptography.
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Daniel Orr , bioDaniel Orr conducts research in representation theory and algebraic combinatorics.
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Eyvindur Ari Palsson , bioAssociate Professor Palsson conducts research in harmonic analysis, geometric measure theory, combinatorics, number theory and partial differential equations.
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Bio ItemMark Shimozono , bio
Professor Shimozono works on combinatorial problems arising in enumerative algebraic geometry and representation theory.
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Wenbo Sun , bioAssistant Professor Wenbo Sun works on the problems lying at the interaction of ergodic theory, combinatorics, and number theory.
Researchers of Algebra, Algebraic Geometry & Combinatorics
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Brian Cook , bioVisiting Assistant Professor Cook's research focuses on arithmetic harmonic analysis, extremal combinatorics & additive/analytic number Theory.
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Giuseppe Cotardo , bioDoctor Cotardo's research interest is in algebraic coding theory, with a focus on algebra, geometry, combinatorics, and their applications to the invariant theory of codes endowed with the rank metric.
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Bio ItemSpencer Carey Cvitanov , bio
Dr. Cvitanov's PHD is in Number theory, specifically Iwasawa Theory. Much of his work is concerned with non-Archimedean linear algebra.
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Garrett Fowler , bioGarrett Fowler's mathematical interests lay largely in combinatorics and algebra.
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Bio ItemDaniel Kim , bio
Dr. Kim's research work has been in topological dynamics and discrete conformal geometry understanding Thurston maps, core entropy, and, briefly, hyperbolic expansion complexes.
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Palanivel Manoharan , bioResearch interest in Geometry of Manifolds and geometry of quantum states.
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Ba Nguyen , bioDr. Ba Nguyen conducts research in Cluster Algebra and Representation Theory, especially the connections between them.
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Welington Santos , bioProfessor Santos' research is in algebra and coding theory.
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Michael T. Schultz , bioDr. Schultz conducts research in the intersection of algebraic geometry and mathematical physics.
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Eric Ufferman , bioCollegiate Assistant Professor Ufferman teaches classes in both Computational Modeling and Data Analytics and Discrete Mathematics.
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Joseph Wells , bioDr. Wells thinks about most things related to complex hyperbolic geometry. In particular, he is interested in (non-)arithmetic subgroups of SU(n,1) and, lately, spherical CR-uniformizations of 3-manifolds.
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Weihong Xu , bioDr. Xu studies combinatorial algebraic geometry, especially quantum Schubert calculus and questions concerning generalized flag varieties.
Recently Retired Faculty
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