Winter 2019: John Voight (Dartmouth) and Piper H. (Hawaii)



Date: Saturday, February 16, 2019
Location: Oregon State University

Program:

• 11:00-12:00 -- John Voight (Dartmouth University), Lecture I: TBA
• 12:00-1:00 -- Lunch
• 1:00-2:00 -- John Voight (Dartmouth University), Lecture II: TBA
• 2:15-2:45 -- Piper H (University of Hawaii at Manoa), Lecture I: Equidistribution of shapes of (certain) number fields
• 2:45-3:30 -- Graduate student poster session and coffee break
• 3:30-4:15 -- Piper H (University of Hawaii at Manoa), Lecture II: How to Become a Liberated Mathematician in 13 Painful Years


Abstracts:

• John Voight, Lecture I: TBA.



• John Voight, Lecture II: TBA



• Piper H, Lecture I: Equidistribution of shapes of (certain) number fields

In her talk, Piper will introduce the ideas that there are number fields, that number fields have shapes, and that these shapes are everywhere you want them to be. This result is joint work with Manjul Bhargava and uses his counting methods which currently we only have for cubic, quartic, and quintic fields. She will sketch the proof of this result and leave the rest as an exercise for the audience. (Check your work by downloading her thesis!).

• Piper H, Lecture II: How to Become a Liberated Mathematician in 13 Painful Years

Piper never wanted to be liberated. She would have much preferred to be conventionally successful, living by other people's standards. Though she tried, she couldn't make herself fit. You could say she has some complaints. Now she has a story to tell. A story of failure and how sometimes failure is the same as leadership.



Previous meetings:



Spring 2018 (Portland State University):
• Rachel Pries (Colorado State University) Lecture I, Newton polygons of cyclic covers of the projective line. (video of this lecture)
• Rachel Pries (Colorado State University) Lecture II, Generalizing a Galois action on the homology of the Fermat curve. (video of this lecture)
• Özlem Ejder (Colorado State University): Sporadic points on X_1(n). (video of this lecture)

Winter 2018 (Oregon State University):
• Ken Ono (Emory University) Lecture I, Polya's Program for the Riemann Hypothesis and Related Problems (lecture slides)
• Ken Ono (Emory University) Lecture II, Can you feel the Moonshine? (lecture slides)
• Asif Zaman (Stanford University), A new formulation of the Chebotarev density theorem
• Posters presented by Jetjaroen Klangwang (Oregon State University), Peter Cho-Ho Lam (Simon Frasier University), and Daniel Reiss (University of Idaho)

Fall 2017 (University of Oregon):
• Kirsten Eisenträger (Penn State University) Lecture I, Undecidability in number theory. (video of this lecture)
• Kirsten Eisenträger (Penn State University) Lecture II, Existentially and universally definable subsets of global fields. (video of this lecture)
• Travis Scholl (University of Washington), Isolated elliptic curves in cryptography.



Support has been provided by:


NSF
    National Science Foundation
PIMS
    Pacific Institute for the Mathematical Sciences
NTF
    Number Theory Foundation
UO
    College of Arts and Sciences, University of Oregon
OSU
    Oregon State University College of Science and Department of Mathematics
PSU
    College of Liberal Arts and Sciences, Portland State University

Organizers


Shabnam Akhtari University of Oregon
Derek Garton Portland State University
Clay Petsche Oregon State University
Holly Swisher Oregon State University

Email: oregonnumbertheorydays@gmail.com