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a My Retirement & New Leadership at AoPS

rrusczyk 1646

I write today to announce my retirement as CEO from Art of Problem Solving. When I founded AoPS 22 years ago, I never imagined that we would reach so many students and families, or that we would find so many channels through which we discover, inspire, and train the great problem solvers of the next generation. I am very proud of all we have accomplished and I’m thankful for the many supporters who provided inspiration and encouragement along the way. I'm particularly grateful to all of the wonderful members of the AoPS Community!

I’m delighted to introduce our new leaders - Ben Kornell and Andrew Sutherland. Ben has extensive experience in education and edtech prior to joining AoPS as my successor as CEO, including starting like I did as a classroom teacher. He has a deep understanding of the value of our work because he’s an AoPS parent! Meanwhile, Andrew and I have common roots as founders of education companies; he launched Quizlet at age 15! His journey from founder to MIT to technology and product leader as our Chief Product Officer traces a pathway many of our students will follow in the years to come.

Thank you again for your support for Art of Problem Solving and we look forward to working with millions more wonderful problem solvers in the years to come.

And special thanks to all of the amazing AoPS team members who have helped build AoPS. We’ve come a long way from here:IMAGE

1646 replies

rrusczyk

Mar 24, 2025

yaxuan

a few seconds ago

k a March Highlights and 2025 AoPS Online Class Information

jlacosta 0

March is the month for State MATHCOUNTS competitions! Kudos to everyone who participated in their local chapter competitions and best of luck to all going to State! Join us on March 11th for a Math Jam devoted to our favorite Chapter competition problems! Are you interested in training for MATHCOUNTS? Be sure to check out our AMC 8/MATHCOUNTS Basics and Advanced courses.

Are you ready to level up with Olympiad training? Registration is open with early bird pricing available for our WOOT programs: MathWOOT (Levels 1 and 2), CodeWOOT, PhysicsWOOT, and ChemWOOT. What is WOOT? WOOT stands for Worldwide Online Olympiad Training and is a 7-month high school math Olympiad preparation and testing program that brings together many of the best students from around the world to learn Olympiad problem solving skills. Classes begin in September!

Do you have plans this summer? There are so many options to fit your schedule and goals whether attending a summer camp or taking online classes, it can be a great break from the routine of the school year. Check out our summer courses at AoPS Online, or if you want a math or language arts class that doesn’t have homework, but is an enriching summer experience, our AoPS Virtual Campus summer camps may be just the ticket! We are expanding our locations for our AoPS Academies across the country with 15 locations so far and new campuses opening in Saratoga CA, Johns Creek GA, and the Upper West Side NY. Check out this page for summer camp information.

Be sure to mark your calendars for the following events:
[list][*]March 5th (Wednesday), 4:30pm PT/7:30pm ET, HCSSiM Math Jam 2025. Amber Verser, Assistant Director of the Hampshire College Summer Studies in Mathematics, will host an information session about HCSSiM, a summer program for high school students.
[*]March 6th (Thursday), 4:00pm PT/7:00pm ET, Free Webinar on Math Competitions from elementary through high school. Join us for an enlightening session that demystifies the world of math competitions and helps you make informed decisions about your contest journey.
[*]March 11th (Tuesday), 4:30pm PT/7:30pm ET, 2025 MATHCOUNTS Chapter Discussion MATH JAM. AoPS instructors will discuss some of their favorite problems from the MATHCOUNTS Chapter Competition. All are welcome!
[*]March 13th (Thursday), 4:00pm PT/7:00pm ET, Free Webinar about Summer Camps at the Virtual Campus. Transform your summer into an unforgettable learning adventure! From elementary through high school, we offer dynamic summer camps featuring topics in mathematics, language arts, and competition preparation - all designed to fit your schedule and ignite your passion for learning.[/list]
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0 replies

1 viewing

jlacosta

Mar 2, 2025

0 replies

Coins in a circle

JuanDelPan 15

Source: Pan-American Girls’ Mathematical Olympiad 2021, P1

There are $n \geq 2$ coins numbered from $1$ to $n$ . These coins are placed around a circle, not necesarily in order.

In each turn, if we are on the coin numbered $i$ , we will jump to the one $i$ places from it, always in a clockwise order, beginning with coin number 1. For an example, see the figure below.

Find all values of $n$ for which there exists an arrangement of the coins in which every coin will be visited.

15 replies

JuanDelPan

Oct 6, 2021

Ilikeminecraft

9 minutes ago

Exponential + factorial diophantine

62861 34

Source: USA TSTST 2017, Problem 4, proposed by Mark Sellke

Find all nonnegative integer solutions to $2^a + 3^b + 5^c = n!$ .

Proposed by Mark Sellke

34 replies

62861

Jun 29, 2017

ali123456

22 minutes ago

Everybody has 66 balls

YaoAOPS 3

Source: 2025 CTST P5

There are $2025$ people and $66$ colors, where each person has one ball of each color. For each person, their $66$ balls have positive mass summing to one. Find the smallest constant $C$ such that regardless of the mass distribution, each person can choose one ball such that the sum of the chosen balls of each color does not exceed $C$ .

3 replies

+1 w

YaoAOPS

Mar 6, 2025

Blast_S1

35 minutes ago

Inspired by IMO 1984

sqing 4

Source: Own

Let $a,b,c\geq 0$ and $a+b+c=1$ . Prove that
$a^2+b^2+ ab +24abc\leq\frac{81}{64}$ Equality holds when $a=b=\frac{3}{8},c=\frac{1}{4}.$
$a^2+b^2+ ab +18abc\leq\frac{343}{324}$ Equality holds when $a=b=\frac{7}{18},c=\frac{2}{9}.$

4 replies

sqing

Today at 3:01 AM

SunnyEvan

36 minutes ago

College Math Topics in undergraduate and graduate studies

Topics in undergraduate and graduate studies

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College Math Topics in undergraduate and graduate studies

Topics in undergraduate and graduate studies

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a My Retirement & New Leadership at AoPS

rrusczyk 1646

1646 replies

rrusczyk

Mar 24, 2025

yaxuan

a few seconds ago

k a March Highlights and 2025 AoPS Online Class Information

jlacosta 0

0 replies

1 viewing

jlacosta

Mar 2, 2025

0 replies

Ahlfors 3.3.1.2

centslordm 4

If $T_1 z = \frac{z + 2}{z + 3}, \qquad T_2 z = \frac z{z + 1},$ find $T_1 T_2z, \,T_2 T_1z$ and ${T_1}^{-1} T_2 z.$

4 replies

centslordm

Jan 8, 2025

Safal

4 hours ago

Time Scale Calculus- Dynamical inequalities

ehuseyinyigit 2

Does Maclaurin's Inequality have a dynamic version in time scale calculus, especially for diamond alpha calculus?

2 replies

ehuseyinyigit

Mar 23, 2025

ehuseyinyigit

5 hours ago

polynomial with real coefficients

Peter 7

Source: IMC 1998 day 1 problem 5

Let $P$ be a polynomial of degree $n$ with only real zeros and real coefficients.
Prove that for every real $x$ we have $(n-1)(P'(x))^2\ge nP(x)P''(x)$ . When does equality occur?

7 replies

Peter

Nov 1, 2005

quasar_lord

6 hours ago

Eigenvalues of A vs. f(A)

Mathloops 0

Let $A$ be an $n \times n$ square matrix with eigenvalues $\lambda_1, \lambda_2, \dots, \lambda_k$ (each $\lambda_i$ having algebraic multiplicity $m_i$ , so that $m_1 + m_2 + \cdots + m_k = n$ ). Let $f(x)$ be a polynomial. It is known that if $\lambda$ is an eigenvalue of $A$ then $f(\lambda)$ is an eigenvalue of $f(A)$ .
The question is: Are all the eigenvalues of $f(A)$ of the form $f(\lambda_i)$ (counting multiplicities)?

Click to reveal hidden text

Furthermore, is there any relation in the nuclear space corresponding to each of those eigenvalues? (equation $Av = \lambda v$ vs. equation $f(A)v = f(\lambda)v$ )

0 replies

Mathloops

Today at 3:58 PM

0 replies

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a My Retirement & New Leadership at AoPS

rrusczyk 1646

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rrusczyk

Mar 24, 2025

yaxuan

a few seconds ago

k a March Highlights and 2025 AoPS Online Class Information

jlacosta 0

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jlacosta

Mar 2, 2025

0 replies

New reaper game

Squidget 4

What does this mean?

Is this a glitch

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Squidget

24 minutes ago

Aminecraftbear

12 minutes ago

k AoPS wiki loading slowly?

EaZ_Shadow 18

I don't know why, but why is that when I try loading to AoPS Wiki, it loads really slow? (I'm using an iPad)

18 replies

EaZ_Shadow

Yesterday at 9:18 PM

jlacosta

30 minutes ago

k weird bug

maxamc 1

I could not view any forums or blogs for the last 20 minutes and thought I was postbanned (I tried clearing cache and nothing happened). Now it works.

1 reply

maxamc

5 hours ago

Craftybutterfly

3 hours ago

How is this possible

Craftybutterfly 8

This is very wrong

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Craftybutterfly

Today at 4:32 AM

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2025 India National Olympiad
India National Olympiad 2025

2025 India STEMS

2025 International Zhautykov Olympiad
International Zhautykov Olympiad 2025

2025 Israel National Olympiad (Gillis)
An Olympiad for grades 7-12.

2025 Israel TST

2025 Japan MO Finals
Japan MO Finals 2025

2025 Korea Winter Program Practice Test
Korea Winter Program Practice Test 2025

2025 Kyiv City MO Round 1
Problems from first round of Kyiv Mathematical Olympiad 2025

2025 Kyiv City MO Round 2
Problems from second round of Kyiv Mathematical Olympiad 2025

2025 Malaysian APMO Camp Selection Test
Malaysian APMO Camp Selection Test for APMO 2025

2025 Nordic
Nordic 2025

2025 Philippine MO

2025 Poland - First Round

2025 Poland - Second Round
Second Round - Poland 2025

2025 Romanian Master of Mathematics
15th RMM 2025

2025 Sharygin Geometry Olympiad
Sharygin Geometry Olympiad 2025

2025 Taiwan TST Round 1

2025 Turkey EGMO TST
Turkey EGMO TST 2025

2025 Turkey Team Selection Test
Turkey Team Selection Test 2025

2025 Ukraine National Mathematical Olympiad
Ukraine National Mathematical Olympiad 2025

2025 USA IMO Team Selection Test
USA Team Selection Test for IMO 2025

2025 USAJMO
USAJMO 2025

2025 USAMO
USAMO 2025

2025 Vietnam National Olympiad
VMO 2025

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