I am currently a first-year PhD student in mathematics at Princeton University. My primary research interests lie in number theory and algebraic geometry. I am also quite interested in the classics and can read/speak Latin with moderate proficiency. In my free time, I play the violin and enjoy listening to classical music.
Princeton University, Princeton, NJ
- PhD in Mathematics, 2021 (expected)
Harvard University, Cambridge, MA
- AM in Physics, 2017
AB in Mathematics, 2017
summa cum laude & with highest departmental honors
- The Harker School, San Jose, CA
- Inflectionary invariants for plane curve singularities (with Anand Patel), 2017.
- Hyperelliptic curves with maximal Galois action on the torsion points of their jacobians (with Aaron Landesman, James Tao, and Yujie Xu), submitted, 2017.
- Surjectivity of Galois representations in rational families of abelian varieties (with Aaron Landesman, James Tao, and Yujie Xu), submitted, 2017.
- Elliptic curve variants of the least quadratic nonresidue problem and Linnik's Theorem (with Evan Chen and Peter Park), International Journal of Number Theory, to appear, 2017.
- Lifting subgroups of symplectic groups over Z/lZ (with Aaron Landesman, James Tao, and Yujie Xu), Research in Number Theory, 3(14) (2017), 1-12. (arXiv)
- Permutations that destroy arithmetic progressions in elementary p-groups (with Noam D. Elkies), Electronic Journal of Combinatorics, 24(1) (2017), 1-10. (arXiv)
- On logarithmically Benford sequences (with Evan Chen and Peter Park), Proceedings of the American Mathematical Society, 144(11) (2016), 4599-4608. (arXiv)
- On arboreal Galois representations of rational functions, Journal of Algebra, 448 (2016), 104-126. (arXiv)
- Linnik’s theorem for Sato-Tate laws on elliptic curves with complex multiplication (with Evan Chen and Peter Park), Research in Number Theory, 1(1) (2015), 1-11. (arXiv)
- Analysis on surreal numbers (with Simon Rubinstein-Salzedo), Journal of Logic and Analysis, 6(5) (2014), 1-39. (arXiv)
- Inflection points of linear systems on families of curves (Harvard senior thesis), 2017.
- Lie algebras and Ado's Theorem, 2016.
- An introduction to the theory of valued fields (Harvard junior paper), 2015.
- On the Selberg-Erdős proof of the Prime Number Theorem, 2014.
- Arrow's impossibility theorem on social choice systems, 2013.
- "Surjectivity of Galois representations in rational families of abelian varieties," Algebra, Geometry, and Number Theory Seminar, Tufts University, 2017.
- "Inflection points of linear systems on families of curves," Algebraic Geometry Seminar, Stanford University, 2017.
- "Analysis on surreal numbers: functions and integration," ASL Special Session, MAA-AMS JMM, 2016.
- "Surreal analysis: an analogue of real analysis for surreal numbers," Siemens Competition Regional Finals, California Institute of Technology, 2012.
- "Surjectivity of Galois representations in rational families of abelian varieties," MAA-AMS JMM, 2017.
- "Permutations that destroy arithmetic progressions in elementary p-groups," MAA-AMS JMM, 2017.
- "Elliptic curve variants of the least quadratic nonresidue problem and Linnik's Theorem," MAA-AMS JMM, 2016.
- "Permutations that destroy arithmetic progressions," Harvard Math Table, 2016.
- "On arboreal Galois representations of rational functions," MAA-AMS JMM 2015.
- "How small is that prime?," Harvard Math Table, 2015.
- "Arboreal Galois representations of rational functions," Harvard Math Table, 2014.
- "Surreal analysis: an analogue of real analysis for surreal numbers," Harvard Math Table, 2013.
- "Surreal analysis: an analogue of real analysis for surreal numbers," CMS Summer Meeting, 2013.
Senior thesis, Department of Mathematics, Harvard University, 2016-2017
- 2016-2017: Worked in algebraic geometry (mentors: Joe Harris & Anand Patel)
Emory REU, Department of Mathematics, Emory University
- Summer 2016: Worked in arithmetic geometry (mentors: David Zureick-Brown & Ken Ono)
- Summer 2015: Worked in analytic number theory (mentors: Jesse Thorner & Ken Ono)
Duluth REU, Department of Mathematics, University of Minnesota Duluth
- Summer 2015: Worked in combinatorial number theory (mentors: Noam D. Elkies & Joseph Gallian)
- Summer 2014: Worked in Galois representations (mentor: Joseph Gallian)
Independent study, Department of Mathematics, Stanford University
- 2011–2014: Worked in logic & analysis with Simon Rubinstein–Salzedo
Course Assistant, Department of Mathematics, Harvard University
- [Math 137] Introduction to algebraic geometry (Peter Kronheimer), 2017. Q-score: 5.0/5.0
- [Math 131] Topology I: Topological spaces & the fundamental group (Joe Harris), 2016. Q-score: 4.5/5.0
- [Math 123] Algebra II: Theory of rings & fields (Arul Shankar), 2016. Q-score: 4.9/5.0
- [Math 114] Analysis II: Measure, integration, & Banach spaces (Daniel C.-Gardiner), 2015. Q-score: 4.9/5.0
- [Math 55b] Honors real & complex analysis (Dennis Gaitsgory), 2015. Q-score: 4.3/5.0
Honors and Awards
- Frank and Brennie Morgan Prize
- David B. Mumford Prize
- Paul and Daisy Soros Fellowship for New Americans
- NSF Graduate Research Fellowship
- Hertz Fellowship -- Finalist
- Centennial Fellowship, Princeton University
Declined PhD Fellowship Offers:
- Graduate Fellowship, Stanford University
- Dean's Fellowship, Columbia University
- President's Fellowship, Massachusetts Institute of Technology
- Berkeley Fellowship, University of California, Berkeley
- Harvard University Certificate of Distinction in Teaching (Math 131, 114, 123)
- John Harvard Scholar for Academic Achievement (2016, 2015, 2014)
- Robert Fletcher Rogers Prize, 2016
- Phi Beta Kappa -- Junior 24
- Barry M. Goldwater Scholarship (Fellow -- 2016, Honorable Mention - 2015)
- Detur Book Prize for Academic Excellence, 2014
- Siemens Competition in Math, Science, and Technology -- Regional Finalist
- Siemens AP Science Award -- National Winner
- National Merit Scholar
- Valedictorian -- The Harker School
- Music Review on Matthew Aucoin's "Its Own Accord," 2016
- Letter from Susanna: Handel's Messiah as a universal vehicle of deliverance, 2016
2013–2014: Violinist, Harvard–Radcliffe Orchestra (Conductor: Federico Cortese)
- Program Annotator for Dvorak's Violin Concerto, Beethoven's Symphony No. 3 (Eroica), and Verdi's Requiem
2013: John Near Grant Recipient, The Harker School
- Authored research paper on Copland's El Salon Mexico & Bernstein's West Side Story
- 2010–2013: Violinist, San Francisco Symphony Youth Orchestra (Conductor: Donato Cabrera)
- 2006, 2008, 2009: Violinist, Music@Menlo Summer Chamber Music Festival and Institute (Directors: Wu Han & David Finckel)
Last updated: August 15, 2017