Number Theory


Since we haven't been able to see each other in person recently, the graduate students studying algebra, number theory and related topics at Penn State are holding regular meetings via Zoom. Each week, one student volunteers to discuss some aspect of their research.

We meet at 11 AM on Tuesdays, unless something else comes up. The Zoom link is only accessible via authenticated Penn State accounts.


Spring 2021

Date Speaker Title
April 13 Chien-Hua Chen Modular representation theory
April 6 Caleb Springer Practice defense
March 30 Gabrielle Scullard Comprehensive Exam!
(Different Zoom link.)
March 23 Gabrielle Scullard Practice Comprehensive Exam
March 9 William Noland Algorithms for Ideal-SVP
March 2 Tigran Eritsyan Part 2: The construction of finite simple groups of Lie type and their modular representations in defining characteristic
February 23 Tigran Eritsyan Part 1: The construction of finite simple groups of Lie type and their modular representations in defining characteristic
February 16 Break
February 9 Gabrielle Scullard Isogeny graphs and endomorphism rings
February 2 Chien-Hua Chen Function field analogue of the Kronecker-Weber Theorem
January 26 William Noland Short vectors in ideal lattices
January 19 Caleb Springer The structure of the group of rational points of an abelian variety

Fall 2020

Date Speaker Title
December 1 Gabrielle Scullard The CSIDH cryptosystem
November 17 Jeff Katen Postponed
November 10 Chien-Hua Chen Computing Galois groups defined over transcendental extensions
November 19 Tigran Eritsyan TBA
October 27 Caleb Springer A topological approach to undefinability for algebraic extensions of the rationals
October 20 William Noland Introduction to lattice-based crypto
October 6 Gabrielle Scullard Isogeny-based crypto and algorithms
September 29 Tigran Eritsyan Inverse Galois problem and tamely ramified groups
September 22 Jeff Katen Drinfeld modules and Weil pairing
September 15 Chien-Hua Chen Galois representations for Drifneld modules (and elliptic curves)
September 8 William Noland Rank stability and undecidability
September 1 Caleb Springer Undecidability and definability for infinite extensions of the rationals