# Rules

### Principle:

- The Breakthrough Prize in Mathematics is given annually to an individual making significant accomplishments in mathematics. The New Horizons in Mathematics Prize is designated for early-career researchers. The Maryam Mirzakhani New Frontiers Prize will be presented to women mathematicians who have completed their PhDs within the past two years.

### Prizes:

- Breakthrough Prize in Mathematics – $3 million.
- New Horizons in Mathematics Prize – $100,000.
- Maryam Mirzakhani New Frontiers Prize – $50,000.

### Breakthrough Prize Guidelines:

- The Breakthrough Prize in Mathematics recognizes a single person’s contribution to the field of mathematics, with special attention to recent developments (in the last 10 years, although earlier contributions may also be considered).
- In exceptional circumstances, when a prize is awarded for joint work, the committee may split the prize.
- Candidate citations (up to 10) from a specified academic publishing database are required.
- There are no age restrictions.
- A person can receive a prize more than once.
- One prize per year will be awarded.

### New Horizons Prize Guidelines:

- The New Horizons in Mathematics Prize is awarded to early-career researchers who have already produced important work.
- Candidates for the New Horizons Prize should have not held a PhD for more than 10 years at the start of the calendar year in which nominations close. This requirement may be relaxed in exceptional circumstances.
- Candidate citations (up to 10) from a specified academic publishing database are required.
- The prize can be split among two or more winners.
- There are no age restrictions.
- Up to three prizes per year will be awarded.

### Maryam Mirzakhani New Frontiers Prize Guidelines:

- The Maryam Mirzakhani New Frontiers Prize is designated for women mathematicians who have completed their PhDs within the previous two years.
- The candidate’s PhD thesis must be submitted as a part of the nomination.
- The prize can be split among two or more winners.
- There are no age restrictions.
- Up to three prizes per year will be awarded.

### Nominations:

- Anyone can nominate a candidate online during the open nominations period.
- Self-nominations are not allowed.
- A valid nomination will have basic biographical information on the nominee and nominator and at least one third-party letter of recommendation.
- During the nominations period the nomination form is available at breakthroughprize.org/Nominations.

### Selection Committee:

- Past recipients of the Breakthrough Prize in Mathematics are invited to serve on the Selection Committee to select recipients of the prizes.