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 Item
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.
-
Bio Item
Gretchen Matthews , bioProfessor Matthews' research is in applications of algebraic geometry to data storage, protection, and security, especially coding theory and cryptography.
-
Bio Item
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.
-
Bio ItemTravis Morrison , bio
Professor Morrison's research is in algorithmic number theory and applications to cryptography.
-
Bio Item
Daniel Orr , bioDaniel Orr conducts research in representation theory and algebraic combinatorics.
-
Bio Item
Eyvindur Ari Palsson , bioAssistant 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 Item
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
-
Bio Item
Brian Cook , bioVisiting Assistant Professor Cook's research focuses on arithmetic harmonic analysis, extremal combinatorics & additive/analytic number Theory.
-
Bio Item
Garrett Fowler , bioGarrett 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 Item
Palanivel Manoharan , bioResearch interest in Geometry of Manifolds and geometry of quantum states.
-
Bio Item
Aidan W. Murphy , bioProfessor Murphy's research interest is in the theory of error-correcting codes, with particular focus on algebraic geometry codes and locally recoverable codes.
-
Bio Item
Ba Nguyen , bioDr. Ba Nguyen conducts research in Cluster Algebra and Representation Theory, especially the connections between them.
-
Bio Item
Welington Santos , bioProfessor Santos' research is in algebra and coding theory.
-
Bio Item
Eric Ufferman , bioCollegiate Assistant Professor Ufferman teaches classes in both Computational Modeling and Data Analytics and Discrete Mathematics.
-
Bio Item
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.
Recently Retired Faculty
-
Bio Item
-
Bio Item
