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, 14(1) (2018), 255-288. (arXiv)
- 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.
- "Inflectionary invariants for plane curve singularities," Special Session on Research in Mathematics by Undergraduates, MAA-AMS JMM 2018.
- "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: December 3, 2017