B.S. (Honors): Mathematics, University of Utah.
Minor: Computer Science, University of Utah.
Expected graduation: May 2017. GPA: 3.99/4.0.
Mathematics: Algebraic Geometry, Class Field Theory, Algebraic Topology, Representation Theory, Commutative Algebra, Algebraic Curves, Real and Complex Analysis. Reading Courses on Algebraic Number Theory, Quadratic Forms, Tate’s Thesis, Quasicoherent Sheaves. High school: Multivariable Calculus, Honors Linear Algebra.
Physics: Lagrangian/Hamiltonian Mechanics, Electrodynamics.
Computer Science: Machine Learning, Models of Computation, Algorithms and Data Structures.
Honors Thesis, University of Utah. 2015—present
Senior thesis, supervised by Dr. Gordan Savin, that develops a quaternionic analogue of the classical correspondence between lattices in the plane and quadratic forms. In progress.
Research in Industrial Projects, HKUST. June—August 2015
With three other undergraduates, developed an Android mobile application to recognize logos, using convolutional neural networks. Developed the data collection and experiment framework; assisted with mobile development; optimized natural language processing code of another team. National Science Foundation funded program run by the Institute for Pure and Applied Mathematics.
Random Graphs, University of Utah. January—May 2015
Implemented several numerical optimization techniques to investigate the performance of an algorithm to match two different graphs by adjusting their Laplacian spectra through addition/removal of edges. Studied spectral graph theory and random graph models (BTER, CL, Erdös-Rényi).
Inverse Problem of Breakdown, University of Utah. Fall 2014
With four undergrads in a research class, studied the inverse problem of determining, from external measurements, the internal electric/elastic breakdown of an inhomogeneous object. Extended results from PI’s previous papers on another inverse problem to our setting, obtaining tight, necessary bounds on the electric field of an object which has not broken down.
Software Engineer, Tools & Infrastructure Intern, May—August 2016
Google Inc., Mountain View, CA
Designed and implemented an extensible, modular testing framework for teams writing tests with logged-in users, reducing memory usage and runtimes.
Teaching Assistant, Models of Computation, August—December 2015
University of Utah, Salt Lake City, UT
Developed grading automation tools in Python that will be used by future TAs for the class. Held office hours biweekly to assist students with homework.
4-H Spring 2014
Gave interactive math lessons to elementary school students after class.
International Baccalaureate Further Mathematics 2012—2013
Taught my Further Mathematics class in high school, giving lectures on number theory, set theory, group theory, and geometry.
Cottonwood Heights Math Club, 2010—2013
Taught and managed an extracurricular math club, introducing younger students to competition mathematics. Topics included number theory, combinatorics, algebra, geometry.
Criteria for guaranteed breakdown in two-phase inhomogeneous bodies , with P. Bardsley, M. Primrose, myself, J. Boyle, N. Briggs, Z. Koch and G.W. Milton. Submitted. Preprint: arXiv:1604.04881.
Optimization of a Logo Recognition System, February 2016. Utah Conference on Undergraduate Research in Salt Lake City, UT.
Creation and Optimization of a Logo Recognition System, January 2016. Joint Mathematics Meeting in Seattle, WA.
Maximal Orders of Quaternion Algebras, December 2015. University of Utah Math Department REU Symposium.
Creation and Optimization of a Logo Recognition System, August 2015. Research in Industrial Projects Final Presentation, Hong Kong University of Science and Technology.
Creation and Optimization of a Logo Recognition System, July 2015. Research in Industrial Projects Midterm Presentation, University of Macau.
Bounds on Electrical Fields in Two-Component Inhomogeneous Bodies, March 2015. SIAM Computational Science and Engineering Minisymposia.
Spectra of Random Graph Models, May 2015. University of Utah Math Department REU Symposium.
An Inverse Problem: Finding Boundary Fields Which Produce Breakdown, December 2014. University of Utah Math Department REU Symposium, with N. Briggs.
Barry Goldwater Scholarship, April 2016
Junius John Hayes Endowed Scholarship (departmental award), Spring 2016
Sigma Xi Associate Member, Spring 2016
Pi Mu Epsilon Member, Spring 2016
Eccles Scholarship (award to incoming first-years), April 2013
Dean’s List, Fall 2013—Spring 2016