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
Bio ItemNick Loehr , bio
Professor 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.
Bio ItemGretchen Matthews , bio
Professor Matthews' research is in applications of algebraic geometry to data storage, protection, and security, especially coding theory and cryptography.
Bio ItemLeonardo Mihalcea , bio
Associate 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.
Bio ItemTravis Morrison , bio
Professor Morrison's research is in algorithmic number theory and applications to cryptography.
Bio ItemDaniel Orr , bio
Daniel Orr conducts research in representation theory and algebraic combinatorics.
Bio ItemEyvindur Ari Palsson , bio
Assistant Professor Palsson conducts research in harmonic analysis, geometric measure theory, combinatorics, number theory and partial differential equations.
Bio ItemMark Shimozono , bio
Professor Shimozono works on combinatorial problems arising in enumerative algebraic geometry and representation theory.
Bio ItemWenbo Sun , bio
Assistant Professor Wenbo Sun works on the problems lying at the interaction of ergodic theory, combinatorics, and number theory.
Researchers of Algebra, Algebraic Geometry & Combinatorics
Bio ItemBrian Cook , bio
Visiting Assistant Professor Cook's research focuses on arithmetic harmonic analysis, extremal combinatorics & additive/analytic number Theory.
Bio ItemGarrett Fowler , bio
Garrett Fowler's mathematical interests lay largely in combinatorics and algebra. His primary focus since graduating is teaching, but his previous research focused on Schubert Calculus.
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.
Bio ItemPalanivel Manoharan , bio
Research interest in Geometry of Manifolds and geometry of quantum states.
Bio ItemAidan W. Murphy , bio
Professor Murphy's research interest is in the theory of error-correcting codes, with particular focus on algebraic geometry codes and locally recoverable codes.
Bio ItemBa Nguyen , bio
Dr. Ba Nguyen conducts research in Cluster Algebra and Representation Theory, especially the connections between them.
Bio ItemWelington Santos , bio
Professor Santos' research is in algebra and coding theory.
Bio ItemEric Ufferman , bio
Collegiate Assistant Professor Ufferman teaches classes in both Computational Modeling and Data Analytics and Discrete Mathematics.
Bio ItemJoseph Wells , bio
Dr. 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.