The CTNT 2026 Conference (June 5-7, 2026) will feature research talks on arithmetic geometry, number theory, and related topics. The goal is to bring together experts, postdocs, and students from arithmetic geometry and number theory. We hope this will stimulate mathematical discussion among the conference participants and summer school students. The students attending the summer school preceding the conference will be invited to attend the conference. The talks will give them a sense of contemporary research themes in number theory.

Deadline for support is April 5th. Deadline to register to attend is May 15th.

List of confirmed speakers (more added as we get confirmations):

• Patrick Allen (McGill)
• Santiago Arango-Piñeros (UMass Amherst)
• Sarah Arpin (Virginia Tech)
• Juanita Duque-Rosero (Boston University) 
• Amanda Folsom (Amherst College)
• Tyler Genao (The Ohio State University)
• Catherine Hsu (Swarthmore College)
• Kiran Kedlaya (UC San Diego)
• Daniel Litt (University of Toronto)
• Jen Paulhus (Mount Holyoke College)
• Ravi Ramakrishna (Cornell University)
• Joseph Silverman (Brown University)

Most up to date version of Titles and Abstracts is here  (as they arrive)

Warning: we have received reports from previous conference speakers of a scam requesting their credit card information for travel arrangements. Participants should consider all such requests fraudulent unless coming directly from one of the organizers.

Schedule of Events:

 

CTNT 2026 – CONFERENCE SCHEDULE WITH TITLES
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Friday 1:00
  Speaker: Tyler Genao (Ohio State University)
  Title: Elliptic curves, torsion points and Galois representations
Friday 2:00
  Speaker: Sarah Arpin (Virginia Tech)
  Title: Elliptic Curves and Isogeny-Based Cryptography
Friday 3:00
  Speaker: Joseph H. Silverman (Brown University)
  Title: Number Theory, Dynamical Systems, and Wide Spacing of Orbits
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Room BPB 131
Friday 4:30
  Speaker: Mike Cerchia (University of Maine)
  Title: Quadratic points on modular curves and images of Galois
Friday 5:00
  Speaker: Caylee Spivey (University of Connecticut)
  Title: Counting k-free ideals in generalized arithmetic progressions
Friday 5:30
  Speaker: Eray Karabıyık (Cornell University)
  Title: Classifying Hyperelliptic Modular Curves
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Room BPB 130
Friday 4:30
  Speaker: Jacob Mayle (University of Delaware)
  Title: Coprime Reductions of Elliptic Curves
Friday 5:00
  Speaker: Daniel Gotshall (University of Rochester)
  Title: Hilbertian Fields and Profinite Iterated Monodromy Groups Over Transcendental Elements
Friday 5:30
  Speaker: Sung Min Lee (Wake Forest university)
  Title: How Often Are Elliptic Curve Reductions Divisible by m?
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Saturday 9:00
Speaker: Amanda Folsom (Amherst College)
  Title: Quantum modular forms and applications
  Saturday 10:00
Speaker: Patrick Allen (McGill University)
  Title: Minimal lifts in the badly dihedral case
  Saturday 11:30
Speaker: Catherine Hsu (Swarthmore College)
  Title: Explicit R=T via rank bounds
  Saturday 2:00
Speaker: Daniel Litt (University of Toronto)
  Title: Arithmetic of differential equations
  Saturday 3:00
Speaker: Juanita Duque-Rosero (Boston University)
  Title: Stacky curves and local-to-global principles
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BPB 131
Saturday 4:30
  Speaker: Benjamin York (Skidmore College)
  Title: The Adelic Galois Image of an Elliptic Curve with CM
Saturday 5:00
  Speaker: Rakvi (The University of Maine)
  Title: On congruence obstructions in the refined Koblitz conjecture
Saturday 5:30
  Speaker: Connor Stewart (CUNY Graduate Center)
  Title: Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers
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BPB 130
Saturday 4:30
  Speaker: Suzanne O’Hara (Wesleyan University)
  Title: Heavenly Elliptic Curves over Cubic Fields
Saturday 5:00
  Speaker: Huy Dang (Binghamton University)
  Title: Lifting abelian covers from characteristic p to characteristic 0
Saturday 5:30
  Speaker: James Austin Myer (CUNY Graduate Center)
  Title: How to Construct a Regular Model of a Hyperelliptic Curve in Mixed Characteristic (0,2)
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Sunday 9:00
  Speaker: Ravi Ramakrishna (Cornell University)
  Title: Applications of cutting asymptotically good towers of number fields
Sunday 10:00
  Speaker: Santiago Arango-Pineros (UMass Amherst)
  Title: Counting primitive solutions to Fermat equations
Sunday 11:30
  Speaker: Jen Paulhus (Mount Holyoke College)
  Title: Completely decomposable Jacobian varieties
Sunday 12:30
  Speaker: Kiran S. Kedlaya (University of California San Diego)
  Title: A formalizable approach to classifying vector bundles on the Fargues-Fontaine curve
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