Carina Letong Hong

(she/her/hers)

I am a graduate student at the University of Oxford, under the support of a Rhodes Scholarship.

I am fortunate to be supervised by Prof Ben Green FRS and working in the amazing Oxford Number Theory group on DPhil-level mathematics research.

Research Interests:

number theory, combinatorics, and probability.

Email:

cl + last name at mit dot edu

What's New:

I am honored to receive the 2023 AMS-MAA-SIAM Frank and Brennie Morgan Prize for Outstanding Mathematical Research by an Undergraduate Student.

I recently gave a TED Talk.

I am honored to receive the 2022 AWM Alice T. Schafer Prize for Excellence in Mathematics by an Undergraduate Woman.

Publications         Academic Experience         Service & Leadership         Extracurriculars

Academic Experience

Here is a full list of courses I've taken.

This fall, I am participating in the Kan Seminar. My first talk will be on Dyer and Lashof, A topological proof of the Bott periodicity theorem. My second talk will be on Adams, Vector fields on spheres.

From July 11 to July 31, 2021, I participated in the (virtual) IAS Park City Mathematics Institute (PCMI). We studied the theory of quadratic forms: the Hasse–Minkowski theorem, Milnor K-theory's formulation of Quadratic Reciprocity, and the Siegel mass formula.

From May 30 to July 9, 2021, I participated in the University of Minnesota Duluth REU under the mentorship of Prof. Joe Gallian. My research was also advised by Colin Defant. I studied the pop-stack-sorting operator on m-Tamari lattices.

From May 22 to May 28, 2021, I participated in the (virtual) IAS Women and Mathematics (WAM) program. We studied algebraic combinatorics, representation theory, and the method of categorification.

In summer 2020, I participated in the (virtual) University of Virginia REU under the mentorship of Prof. Ken Ono. My first project was on variants of Lehmer's Conjecture. We studied modular forms, complex multiplication, elliptic curves, and a special family of K3 surfaces. My second project studied the Unimodality Conjecture on polynomials defined from the Nekrasov–Okounkov hook length formula.

In summer 2019, I participated in the Budapest Semesters in Mathematics. My research was advised by Dr. István Miklós. We investigated Latin rectangle completions, proper edge-colorings of bipartite graphs, and the Metropolis–Hastings Algorithm/ MCMC. I also studied Advanced Combinatorics and Conjectures and Proofs. I received the "Magas Kitüntetéssel" prize.

In summer 2018, I participated in the Stanford University Mathematics Camp, algebraic topology program, under the mentorship of Dr. Rick Sommer and Dr. Simon Rubinstein-Salzedo.

In summer 2016–17, I participated in the Ross Mathematics Program under the mentorship of Prof. Daniel Shapiro and Prof. Jim Fowler.