Education  Publications  Presentations  Research  Teaching  Honors  Music
Background
I am currently a firstyear 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.
Education

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
Research Publications
 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), 255288. (arXiv)
 Lifting subgroups of symplectic groups over Z/lZ (with Aaron Landesman, James Tao, and Yujie Xu), Research in Number Theory, 3(14) (2017), 112. (arXiv)
 Permutations that destroy arithmetic progressions in elementary pgroups (with Noam D. Elkies), Electronic Journal of Combinatorics, 24(1) (2017), 110. (arXiv)
 On logarithmically Benford sequences (with Evan Chen and Peter Park), Proceedings of the American Mathematical Society, 144(11) (2016), 45994608. (arXiv)
 On arboreal Galois representations of rational functions, Journal of Algebra, 448 (2016), 104126. (arXiv)
 Linnik’s theorem for SatoTate laws on elliptic curves with complex multiplication (with Evan Chen and Peter Park), Research in Number Theory, 1(1) (2015), 111. (arXiv)
 Analysis on surreal numbers (with Simon RubinsteinSalzedo), Journal of Logic and Analysis, 6(5) (2014), 139. (arXiv)
Expository Articles
 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 SelbergErdős proof of the Prime Number Theorem, 2014.
 Arrow's impossibility theorem on social choice systems, 2013.

Invited Talks
 "Inflectionary invariants for plane curve singularities," Special Session on Research in Mathematics by Undergraduates, MAAAMS 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, MAAAMS JMM, 2016.
 "Surreal analysis: an analogue of real analysis for surreal numbers," Siemens Competition Regional Finals, California Institute of Technology, 2012.

Contributed Talks
 "Surjectivity of Galois representations in rational families of abelian varieties," MAAAMS JMM, 2017.
 "Permutations that destroy arithmetic progressions in elementary pgroups," MAAAMS JMM, 2017.
 "Elliptic curve variants of the least quadratic nonresidue problem and Linnik's Theorem," MAAAMS JMM, 2016.
 "Permutations that destroy arithmetic progressions," Harvard Math Table, 2016.
 "On arboreal Galois representations of rational functions," MAAAMS 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.
Research Experience

Senior thesis, Department of Mathematics, Harvard University, 20162017
 20162017: Worked in algebraic geometry (mentors: Joe Harris & Anand Patel)

Emory REU, Department of Mathematics, Emory University
 Summer 2016: Worked in arithmetic geometry (mentors: David ZureickBrown & 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
Teaching Experience

Course Assistant, Department of Mathematics, Harvard University
 [Math 137] Introduction to algebraic geometry (Peter Kronheimer), 2017. Qscore: 5.0/5.0
 [Math 131] Topology I: Topological spaces & the fundamental group (Joe Harris), 2016. Qscore: 4.5/5.0
 [Math 123] Algebra II: Theory of rings & fields (Arul Shankar), 2016. Qscore: 4.9/5.0
 [Math 114] Analysis II: Measure, integration, & Banach spaces (Daniel C.Gardiner), 2015. Qscore: 4.9/5.0
 [Math 55b] Honors real & complex analysis (Dennis Gaitsgory), 2015. Qscore: 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
Journal Refereeing
Classical Music
 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