LabCompass

Tyler Genao

Mathematics · The Ohio State University

OpenAlex ORCID
Mid career · publishing since 2015
Algebraic Geometry and Number TheoryAnalytic Number Theory ResearchCryptography and Residue ArithmeticCoding theory and cryptographyAdvanced Algebra and Geometry

Publications

21

Citations

23

Est. group size

—

Recurring co-author estimate

Active years

12

Publishing since 2015

Research summary
AI-generated

Tyler Genao works in number theory, focusing on elliptic curves — a class of mathematical objects central to modern number theory and cryptography. Much of the work studies 'torsion' (special points of finite order) and 'isogenies' (structured maps between elliptic curves), aiming to prove bounds on how large or complex these structures can be, especially as one changes the underlying number field. This is theoretical mathematics building on tools like modular curves and Shimura curves rather than applied or computational work.

Elliptic curves and torsion boundsIsogenies between elliptic curvesModular and Shimura curvesNumber fields and base changeAnalytic and algebraic number theory

After a gap with no publications between 2018 and 2020, output has been steady to growing since 2021, averaging about 2.6 papers per year over the last five years.

Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026

Publication cadence
Publications per year over the last 10 years — averaging 2.6/year recently
2017: 1 publication171819202021: 5 publications5212022: 4 publications222023: 1 publication232024: 3 publications242025: 4 publications252026: 1 publication26
Recent publications
Publishes in
  • arXiv (Cornell University)×10
  • The Ramanujan Journal×2
  • Journal of the London Mathematical Society×1
  • Expositiones Mathematicae×1
  • Research in Number Theory×1
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This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.

Last updated Jul 19, 2026.

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