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Algebra and Number Theory Group

The Algebra and Number Theory group at Penn State consists of researchers working in a variety of fields including:

 

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McAllister Building black and white photo.
  • Algebraic and Analytic Number Theory
  • Algebraic and Arithmetic Geometry
  • Algebraic Statistics
  • Combinatorics
  • Commutative Algebra
  • Cryptography
  • Group Theory
  • Finite Field Theory
    (incl. Coding Theory)
  • K-Theory
  • Operations Research
    (incl. Linear Programming & Game Theory)

Learn More About Us

Regular faculty

  • Shabnam Akhtari: Number Theory, Diophantine Analysis and the Geometry of Numbers
  • George E. Andrews: Number theory, Partitions and q-series
  • Kirsten Eisenträger: Number Theory, Connections between Number Theory and Logic, Arithmetic Geometry, Classical and Post-Quantum Cryptography
  • Jack Huizenga: Algebraic Geometry
  • Svetlana Katok : Automorphic forms, Fuchsian groups, Application of dynamical systems to analysis and number theory, and number theory to dynamics.
  • John Lesieutre: Algebraic Geometry
  • Wen-Ching Winnie Li : Number Theory, Automorphic forms and their applications, Zeta functions of complexes, Galois representations and hypergeometric motives, Noncongruence modular forms, Spectral graph theory, Coding theory
  • Amita Malik: Analytic Number Theory, Combinatorics
  • Mihran Papikian: Algebraic Number Theory
  • Naser Talebizadeh Sardari: Analytic Number Theory, Automorphic forms and their applications, Sphere packing, Expander graphs, Quantum chaos
  • Robert C. Vaughan: Analytic Number Theory
  • Ping Xu: Homotopy Algebras, Higher algebraic structures, Deformation theory
  • Ae Ja Yee: Combinatorics, Number Theory
  • Yuri Zarhin: Algebraic and Arithmetic Geometry

Emeritus faculty

  • W. Dale Brownawell: Number Theory, Transcendence
  • Gary L. Mullen: Number Theory, Combinatorics, Finite Fields
  • Leonid N. Vaserstein: Algebraic K-theory, classical Groups, Operations Research

Postdocs, lecturers, instructors and visitors

Current and Former Students

  • Ufuoma Asarhasa: Algebra and Number Theory
  • Austin Cramer: Number Theory
  • Sheng-Yang Kevin Ho: Algebraic Number Theory
  • Runqiao Li: Partitions, Combinatorics

 

Seminars of interest to the group include:

The following links may be of interest.

Upcoming conferences

Preprints and papers

Information on mathematicians and departments

Educational resources

Math videos

  • Videos at IAS: Videos at the Institute for Advanced Study.
  • Videos at MSRI: Videos at the Mathematical Sciences Research Institute.
  • Videos from ICM: Videos recorded at the International Congresses of Mathematicians.