Oregon Number Theory Days

Winter 2023 Student and Recent PhD Showcase (Oregon State University):

February 18-19, 2023

Postdoctoral Presenters:

• Joshua Parker (Whitman College)

Graduate Student Presenters:

• Jordan Hardy (University of Idaho)

• Greg Knapp (University of Oregon)

• Leah Sturman (Oregon State University)

• Eric Williams (Portland State University)

Undergraduate Presenters:

• Liam Armstrong (Oregon State University) 

• Javier Rivera Romeu (Reed College)

• Jasmine Wetter (Western Oregon University)

Panel Discussions: 

• Conducting Research (Leanne Merrill, Clay Petsche, Holly Swisher, Jeff Vaaler)

Fall 2022 (Portland State University):

October 8, 2022

• Dinakar Ramakrishnan (California Institute of Technology), Lecture I: L-series, non-vanishing, its significance, and examples - Part I (slides)

• Dinakar Ramakrishnan (California Institute of Technology), Lecture II: L-series, non-vanishing, its significance, and examples - Part II (slides)

• Claus Sorensen (University of California–San Diego), Lecture I: Rigid vectors in principal series

• Claus Sorensen (University of California–San Diego), Lecture I: Duals and admissibility mod p

• Lea Beneish (University of California–Berkeley): The Gross--Kohnen--Zagier formula via p-adic uniformisation 

• Alexandra Florea (University of California–Irvine): Negative moments of the Riemann zeta function 

Winter 2022 Student and Recent PhD Showcase (Oregon State University):

February 19-20, 2022

Graduate Student Talks: 

• Michael Allen (Oregon State University)

• Leah Sturman (Oregon State University)

• Chris Aagard (Portland State University)

• Jakob Streipel (Washington State University)

• Andres Valloud (Oregon State University)

• Peter Oberly (Oregon State University)

• Greg Knapp (University of Oregon)

• Ben Toomey (Oregon State University)

Panel Discussions: 

• Navigating a Work/Life Balance

• Applying for Jobs/Funding

Fall 2021 (Portland State University):

October 2, 2021

• Joseph H. Silverman (Brown University), Lecture I: A Number Theorist's View of Dynamical Systems 

• Joseph H. Silverman (Brown University), Lecture II: How Quantum Computers Will Destroy Bitcoin and Break the Internet, and What Mathematicians are Doing About It!

• Michelle Manes (University of Hawaiʻi), Lecture I: Going around in Circles: Periodic Points in Dynamics

• Michelle Manes (University of Hawaiʻi), Lecture II: Mahler Measure and Arithmetic Dynamics

• John Doyle (Oklahoma State University): Quadratic Points On Dynamical Modular Curves

• Bella Tobin (Oklahoma State University): Reduction of Post-critically finite polynomials

Winter 2020 (Oregon State University):

February 29, 2020

• Rob Benedetto (Amherst College), Lecture I: An introduction to the Berkovich projective line. Click here to view the lecture slides.

• Rob Benedetto (Amherst College), Lecture II: Equilibrium measures on the Berkovich projective line.    Click here to view the lecture slides.

• Nicole Looper (Brown University): Equidistribution techniques in arithmetic dynamics: past and present. Click here to view the lecture slides.

• Poster presentations by Michael Allen (Oregon State University), Elisa Bellah (University of Oregon), and Ben Toomey (Oregon State University).

Fall 2019 (University of Oregon): 

November 23, 2019

• Jeff Vaaler (University of Texas), Lecture I: Introduction to the Weil height.  Click here to view the lecture slides.

• Jeff Vaaler (University of Texas), Lecture II: Problems and results about the Weil height.  Click here to view the lecture slides.

• David Krumm (Reed College): Algebraic preperiodic points of entire transcendental functions. 

• Unfortunately, our scheduled plenary speaker Matilde Lalin of the University of Montreal was unable to travel to Oregon for the meeting.  Professor Lalin generously provided her lecture slides, which can be accessed here: Lecture I The Mahler measure of multivariable polynomials and Lecture II The mean values of cubic L-functions.  We thank Professor Jeff Vaaler for agreeing on short notice to give the plenary lectures at this meeting.

Spring 2019 (Portland State University): 

June 1, 2019

• Chantal David (Concordia University), Lecture I: Explicit Sato-Tate conjecture and other equidistribution conjectures for elliptic curves

• Chantal David (Concordia University), Lecture II: Distributions for elliptic curves over finite fields

• Neha Prabhu (Queen's University): The error term in the Sato-Tate law of Birch 

Winter 2019 (Oregon State University): 

February 16, 2019

• John Voight (Dartmouth College)  Lecture I, Definite quaternion orders with stable cancellation. Click here to view the lecture slides.

• John Voight (Dartmouth College)  Lecture II, Computing Belyi maps. Click here to view the lecture slides.

• Piper H (University of Hawaii at Manoa), Lecture I: Equidistribution of shapes of (certain) number fields 

• Piper H (University of Hawaii at Manoa), Lecture II: How to Become a Liberated Mathematician in 13 Painful Years

• Poster presentations by Allison Arnold-Roksandich (Oregon State University), Charles Camacho (Oregon State University), Sarah Frei (University of Oregon), Matthew Jobrack (Washington State University), Manar Riman (University of Washington), and Joe Webster (University of Oregon)

Spring 2018 (Portland State University): 

May 19, 2018

• 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):  

January 27, 2018

• Ken Ono (Emory University) Lecture I, Polya's Program for the Riemann Hypothesis and Related Problems. Click here to view the lecture slides.

• Ken Ono (Emory University) Lecture II, Can you feel the Moonshine? Click here to view the 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):  

October 21, 2017

• 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. 

 Organizers:

• Shabnam Akhtari (University of Oregon)

• Liubomir Chiriac (Portland State University)

• Derek Garton (Portland State University)

• Holly Swisher (Oregon State University)