I am a fourth-year Harvard mathematics Ph.D. student researching the evolution of cooperation, learning, and decision-making. I am grateful to be advised by Martin Nowak.
I am also grateful to Eric Maskin for advising me from the AY2018-2019 fall semester to the AY2019-2020 fall semester, and for introducing me to Martin Nowak. Before that, I was an undergraduate studying math at Princeton University, where I was grateful to be advised by Peter Sarnak (senior thesis) and Manjul Bhargava (junior independent work).
Please find my CV here.
Research:
- The evolution of cognitive biases in human learning. Submitted.
- Robust cooperation in alternating interactions (with M. A. Nowak and C. Hilbe). Submitted.
Undergraduate Math Papers:
- Conjugacy growth of commutators. J. Algebra. 526 (2019), 423-458.
- Elliptic curve variants of the least quadratic nonresidue problem and Linnik's theorem (with E. Chen and A. A. Swaminathan). Int. J. Number Theory 14(1) (2018), 255-288.
- Bounded gaps between products of distinct primes (with Y. Liu and Z. Q. Song). Res. Number Theory 3(26) (2017), 1-28.
- The "Riemann hypothesis" is true for period polynomials of almost all newforms (with Y. Liu and Z. Q. Song). Res. Math. Sci, 3(31) (2016), 1-11.
- The van der Waerden complex (with R. Ehrenborg, L. Govindaiah, and M. Readdy). J. Number Theory 172 (2016), 287-300
- On logarithmically Benford sequences (with E. Chen and A. A. Swaminathan). Proc. A.M.S. 144 (2016), 4599-4608.
- Linnik's theorem for Sato–Tate laws on elliptic curves with complex multiplication (with E. Chen and A. A. Swaminathan). Res. Number Theory 1(28) (2015), 1-11.
- On pairwise intersections of the Fibonacci, Sierpinski, and Riesel sequences (with D. Ismailescu). J. Integer Seq. 16 (2013), 13.9.8. Cited in the Online Encyclopedia of Integer Sequences (see https://oeis.org/A180247, https://oeis.org/A076335, https://oeis.org/A076336, and https://oeis.org/A076337).
Expository Writings:
- Probability laws for the distribution of geometric lengths when sampling by a random walk in a Fuchsian fundamental group.
- Hodge theory.
- de Rham's theorem.
- The Bombieri–Vinogradov theorem.
- The uniformization theorem for elliptic curves.
- Siegel's theorem.