Arithmetic geometry and Diophantine geometry lie at the confluence of number theory and algebraic geometry, exploring the deep connections between the arithmetic properties of numbers and the ...

Both algebraic and arithmetic geometry are concerned with the study of solution sets of systems of polynomial equations. Algebraic geometry deals primarily with solutions lying in an algebraically ...

The University of Colorado Center for Number Theory has interests spanning number theory, from analytic to algebraic. There is a focus on arithmetic geometry, including arithmetic dynamics, elliptic ...

Joseph Silverman is a world-leading mathematician working in the general area of Number Theory, and more specifically in Diophantine and arithmetic geometry, elliptic curves and cryptography. Joseph ...

The 30-year-old is best known for his discovery of "perfectoid spaces," in the field of arithmetic geometry. Scholze is only the second German to win the prestigious medal, which has been awarded ...

Bays (until 2023), Cuntz, Deninger, Gardam (2022-2023), Hartl, Hellmann, Hille, Hils, Jahnke, Kwiatkoswka, Lourenço (since 2024), Nikolaus, Scherotzke (until 2020 ...

Zheng Xiao received his PhD in 2022 at Michigan State University, under the supervision of Aaron D. Levin. His research interests include number theory, arithmetic geometry and complex hyperbolic ...

Four Fields Medals were awarded for major breakthroughs in geometry, combinatorics, statistical physics and number theory, even as mathematicians continued to wrestle with how computers are changing ...