As an AI language model, I can certainly provide you with a list of 10 highly regarded mathematicians. However, it's important to note that "top 10" lists are subjective and may vary depending on personal opinions and criteria. Here are 10 mathematicians who are widely recognized and have made significant contributions to the field:

1. Isaac Newton - Known for his work in calculus, laws of motion, and universal gravitation.
2. Carl Friedrich Gauss - Considered one of the greatest mathematicians, renowned for his work in number theory and geometry.
3. Leonhard Euler - Made significant contributions in various branches of mathematics, particularly in analysis and number theory.
4. Archimedes - Known for his discoveries in geometry and calculus, including the determination of π (pi).
5. Euclid - Often referred to as the "Father of Geometry," his book "Elements" laid the foundation for the subject.
6. Pierre-Simon Laplace - Contributed to the development of mathematical physics and probability theory.
7. Bernhard Riemann - His work on Riemannian geometry paved the way for the study of differential geometry and topology.
8. David Hilbert - Made substantial contributions to mathematical logic, algebra, and the foundations of mathematics.
9. Alexandre Grothendieck - Renowned for his contributions to algebraic geometry and the development of modern algebraic techniques.
10. Georg Cantor - Famous for creating set theory and developing the concept of different infinity sizes.

This list is by no means exhaustive, and there are many other remarkable mathematicians throughout history.

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