I am a fifth-year Harvard mathematics Ph.D. candidate researching the evolution of cooperation, learning, and innovation. I am grateful to be advised by Joe Henrich of Harvard's Human Evolutionary Biology department (Culture, Cognition and Coevolution Lab).
I am also grateful to Martin Nowak for advising me from AY2019-2020 spring to AY2020-2021 fall, and to Eric Maskin for advising me from AY2018-2019 fall to AY2019-2020 fall. 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).
In the spring semester of AY2021-2022, I will be teaching Math 99r: Mathematical Models of Behavioral Science. Students who are curious about how mathematical reasoning can be applied to better understand and improve the world would particularly find this class valuable.
Please find links to my CV and Twitter.
Research:
- The evolution of cognitive biases in human learning. Journal of Theoretical Biology. 541 (2022), 111031.
-
Cooperation in alternating interactions with memory constraints (with M. A. Nowak and C. Hilbe). Nature Communications. 13 (2022), Article no. 737.
-
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.