Algebra and Number Theory Group

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

• Christopher-Lloyd Simon: The modular group, Galois theory, Quadratic forms
• Yen-Tsung Chen:
• Leo Hochfilzer:

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:

• Algebra and Number Theory Seminar, organized by Yen-Tsung Chen and John Lesieutre.
• Combinatorics and Partitions Seminar, organized by Amita Malik and Ae Ja Yee.
• GAP (Geometry, Algebra, Physics) Seminar, organized by Ping Xu and Mathieu Stienon.

The following links may be of interest.

Upcoming conferences

• AMS Mathematics Calendar: Links to conferences.
• Number theory web: Links to homepages of number theorists, conferences, and more.
• Conferences in Arithmetic Geometry: Maintained by Kiran Kedlaya.
• Upcoming conferences in algebraic geometry: Maintained by Ravi Vakil.
• commalg.org: Commutative algebra conferences.
• List of math research institutes: Maintained by Balázs Szendrői

Preprints and papers

• Mathscinet (PSU remote access):     AMS math reviews.
• Zentralblatt MATH:     Zentralblatt math reviews.
• The arXiv: Preprint server.
• Front for the arXiv: A frontend for the arXiv preprint server.
• Number Theory List: Number theory preprints (including pre-arXiv)
• K-Theory preprint archives: New and older preprints.
• JSTOR (PSU remote access): Academic journals online.

Information on mathematicians and departments

• Number theory web: Links to homepages of number theorists, conferences, and more.
• commalg.org:     Commutative algebra conferences and links to homepages of commutative algebraists.
• Mathematics Genealogy Project: Who was his or her advisor?

Educational resources

• PSU Library: Main library page
• mathoverflow.net: Research level math questions and answers
• math.stackexchange.com: Undergraduate/graduate level math questions and answers
• wikipedia.org: Many topics in mathematics are described here.
• planetmath.org: Many topics in mathematics are described here.
• Wolfram MathWorld: Many topics in mathematics are described here.

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.