MATH CONTESTS

I am involved with the following math competitions:

MATHCOUNTS (US middle school math competition)

I am on the Question Writing Committee for MATHCOUNTS (2021-2023) and was previously a National Reviewer (2019-2020).  My favourite problems that I have written for them are not public at the moment.

ARML (US high school team math competition, taking place at four different sites).

I am on the Problem Writing Committee for ARML (2020-present) and I was involved with ARMLocal 2019 (their local competition). I was also the moderator at the UNLV site for the 2023 competition. Some of my favourite problems that I have written for ARML are below:

(ARMLocal 2023 Tiebreaker): Let f(k) be the maximum value of y2 over all real numbers x,y such that ky2+2xy1k+1 and (k+1)y2+x2=1. Compute f(44)+f(45)++f(2022)+f(2023).

(ARMLocal 2023 Team 9): In ABC, let D,E, and F be the midpoints of BC¯,AC¯, and AB¯, respectively. The circumcircles of AEF and BDF intersect at a point GF. Given that AB=12,BC=10, and CG=15, compute the sum of all possible values of AC.

(ARMLocal 2023 Individual 6): Let ABC be acute with AB=8 and AC=5. Suppose D is the intersection of the internal angle bisector of A and the altitude from B to AC. Let F be the circumcenter of ABD. Suppose that F, the reflection of F over AB, lies on the circumcircle of ABD. Compute the perimeter of ABC.

(ARML 2022 Individual 4): Let n be the number of ordered quadruplets (A,B,C,D) such that each of A,B,C, and D is a subset of {1,2,3,4,5,6}AB is a subset of CD, and AB is a subset of CD. Compute n.

(ARMLocal 2021 Team 15): Compute the sum of all positive integers n50 such that n4+n2+1 is divisible by a perfect square other than 1.

 

AMC 10/12 and AIME (US high school competitions used to eventually determine the team for the International Math Olympiad)

I am on the editorial boards for AMC 10/12 and AIME (both 2023-present).