The Caccioppoli Prize is an award given in recognition of outstanding contributions in the field of mathematics, particularly in areas related to analysis and partial differential equations. It is named after the Italian mathematician Renato Caccioppoli, who made significant contributions to mathematics, especially in the 20th century. The prize is typically awarded to young mathematicians to promote and encourage research in mathematics.

The Bartolozzi Prize is an award typically given to recognize outstanding contributions in the fields of engraving and printmaking. Named after the Italian engraver Francesco Bartolozzi, the prize aims to honor artists and artisans who have made significant strides in these areas. Often associated with artistic institutions or competitions, the specifics regarding eligibility, application process, and the prize itself can vary.

The Chern Medal is an award conferred by the Chern Medal Foundation and the International Association of Applied Mathematics and Mechanics (GAMM). It is named after the renowned mathematician Shiing-Shen Chern, who made significant contributions to differential geometry and topology. The Chern Medal is awarded to individuals for outstanding achievements in the field of mathematics, particularly those that have had a significant impact on other disciplines, including science and engineering.

The Carl Friedrich Gauss Prize is an award established by the International Mathematical Union (IMU) to recognize significant contributions to mathematics that have been influenced by the work of the German mathematician Carl Friedrich Gauss. The prize is typically awarded to mathematicians who have made substantial advances in the field, particularly those that demonstrate a strong connection to the principles and techniques developed by Gauss.

The Hannes Alfvén Prize is an award given to recognize significant contributions in the field of plasma physics, particularly in areas related to space and astrophysical plasmas. It was established in honor of Hannes Alfvén, a Swedish physicist who made pivotal discoveries in plasma physics and won the Nobel Prize in Physics in 1970 for his work on magnetohydrodynamics.

The EPS Europhysics Prize is an award presented by the European Physical Society (EPS) to recognize outstanding achievements in the field of physics. It is awarded for exceptional contributions to the physics community, particularly in areas that have significantly advanced the understanding of physical phenomena. The prize aims to promote excellence in research and to highlight the importance of physics in addressing societal challenges.

The Coxeter–James Prize is an award presented by the Canadian Mathematical Society (CMS) to recognize outstanding contributions in the field of geometry. It is named after two prominent mathematicians, H. S. M. Coxeter and E. L. James, who made significant contributions to geometry and related areas. The prize is typically awarded to individuals who have made notable achievements in the mathematical community, particularly in geometry, and is aimed at promoting research and scholarship in this field.

The Morgan Prize, formally known as the Morgan Prize for Outstanding Research in Mathematics, is an award presented to recognize exceptional research contributions by graduate students in mathematics. It is named after the mathematician John von Neumann and is awarded annually by the American Mathematical Society (AMS). The prize generally acknowledges work that demonstrates significant creativity, depth, and impact in various areas of mathematical research.

The Cole Prize is awarded for outstanding work in certain fields of mathematics. The Institute for Advanced Study (IAS) in Princeton, New Jersey, has been affiliated with several Cole Prize winners over the years.

The Levi L. Conant Prize is an award given by the American Mathematical Society (AMS). It honors the memory of Levi L. Conant, who was a notable figure in the field of mathematics, particularly known for his contributions to mathematical education and his role in promoting mathematics. The prize is typically awarded for articles published in the AMS's publications that are aimed at a broad mathematical audience and that exhibit expository excellence.

The Leroy P. Steele Prize is an award presented by the American Mathematical Society (AMS) to recognize outstanding achievements in research, exposition, or other contributions to mathematics. It is named in honor of Leroy P. Steele, who made significant contributions to the field of mathematics and served as the editor of the American Mathematical Monthly.

The Joseph L. Doob Prize is an award given in recognition of outstanding contributions to the field of probability and its applications. It is named after Joseph Leo Doob, an influential American mathematician known for his work in probability theory and stochastic processes. The prize is awarded by the Institute of Mathematical Statistics (IMS) and is intended to honor researchers who have made significant advancements in probability, reflecting Doob's legacy in the field.

The E. H. Moore Research Article Prize is an award presented by the American Mathematical Society (AMS) to recognize outstanding research articles in mathematics. It is named after Eliakim Hastings Moore, an influential American mathematician known for his contributions to various areas of mathematics, including functional analysis and topology. The prize is awarded for research articles published in the Transactions of the American Mathematical Society, and it aims to highlight the importance of exceptional research work in the mathematical community.

The David P. Robbins Prize is an award given annually for outstanding research in the field of mathematics, particularly related to mathematical science and its applications. It is established in honor of David P. Robbins, a noted mathematician. The prize is intended to recognize significant contributions to mathematics and is typically awarded to researchers who have made innovative and influential advancements in the field.

The Blumenthal Award, also known as the Blumenthal Cancer Research Award, is a prestigious accolade that recognizes outstanding contributions to cancer research in the field of oncology. Established to honor the legacy of Dr. Harold Blumenthal, the award aims to highlight significant advancements in cancer treatment, prevention, and understanding.