TOPICS: Arithmetic in the broadest sense that includes Number Theory (Elementary Arithmetic, Algebraic, Analytic, Combinatorial, etc.), Algebraic Geometry, Representation Theory, Lie Groups and Lie Algebras, Diophantine Geometry, Geometry of Numbers, Tropical Geometry, Arithmetic Dynamics, Arithmetic Topology, etc.

PLACE and TIME: This semester the seminar meets primarily on Tuesdays at 4:00 pm, with possible special lectures at other days and times. The in-house talks will be in-person, while visitors outside of Binghamton area will be by Zoom: Zoom link

ORGANIZERS:
Regular Faculy: Alexander Borisov, Marcin Mazur, Adrian Vasiu.
Post-Docs: Huy Dang

Current Ph.D. students: Hari Asokan, Mithun Padinhare Veettil.

Graduated Ph.D. students (in number theory and related topics): Ilir Snopce (Dec. 2009), Xiao Xiao (May 2011), Jinghao Li (May 2015), Ding Ding (Dec. 2015), Patrick Milano (May 2018), Changwei Zhou (May 2019), Patrick Carney (May 2023), Sarah Lamoureux (Sep. 2023), Sayak Sengupta (May 2024).

SEMINAR ANNOUNCEMENTS: To receive announcements of seminar talks by email, please join our mailing list.

Related seminar: Upstate New York Online Number Theory Colloquium (online, irregular): http://people.math.binghamton.edu/borisov/UpstateNYOnline/Colloquium.html

• Spring 2025 ——– Fall 2024
• Spring 2024 ——– Fall 2023
• Spring 2023 ——– Fall 2022
• Spring 2022 ——– Fall 2021
• Spring 2021 ——– Fall 2020
• Spring 2020 ——– Fall 2019
• Spring 2019 ——– Fall 2018
• Spring 2018 ——– Fall 2017
• Spring 2017 ——– Fall 2016
• Spring 2016 ——– Fall 2015
• Spring 2015 ——– Fall 2014

• August 26
  Speaker: NA
  Title: Organizational Meeting
  Abstract:
  

• September 9
  Speaker: Huy Dang (Binghamton)
  Title: The lifting problem for curves
  Abstract: The lifting problem for curves asks: given a smooth, projective, connected curve 𝐶 over a field 𝑘 of characteristic 𝑝 > 0, which finite Galois coverings of 𝐶 lift to characteristic zero? In this talk, we provide an overview of the central questions and techniques used to study this problem. We will also discuss connections with other areas of research, including deformation theory and ramification theory.
  

• September 16
  Speaker: Huy Dang (Binghamton)
  Title: Lifting abelian isogenies from characteristic $p$ to characteristic $0$
  Abstract: In characteristic $0$, cyclic field extensions are classified by Kummer theory. In characteristic $p$, in addition to Kummer theory, one also needs Artin–Schreier–Witt theory to describe these extensions. Matsuda constructed a formal morphism that connects these two theories, providing a bridge between characteristic $p$ and characteristic $0$. In this talk, we present an algebraization of Matsuda’s construction to study the lifting of abelian isogenies from characteristic $p$ to characteristic $0$. As an application, we show that every lift of an abelian étale cover of a local scheme arises as the pullback of such a lift of an abelian isogeny. This is joint work with Khai-Hoan Nguyen-Dang.
  

• September 30
  Speaker: Enrique Trevino (Lake Forest College)
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• October 7
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• October 14
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• October 21
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• October 28
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• November 4
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• November 11
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• November 18
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• November 25
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• December 2
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