Professional Employment

• Carnegie Mellon University: Shelly Visiting Assistant Professor, 2015-present.
• University of Washington: Acting Assistant Professor, 2012-2015.
• University of California, San Diego: Teaching Assistant, 2007-2012.
• Western Michigan University: Teaching Assistant, 2010-2012.

Educational Background

• University of California, San Diego: Ph.D., Mathematics (2012). Advisor: Fan Chung Graham. Thesis: Random Graphs with Attribute Affinity
• University of California, San Diego: M.A., Mathematics (2010)


• Western Michigan University: B.A., Mathematics (2007), B.A., Spanish Language (2007), Summa Cum Laude. Advisor: Ping Zhang. Thesis: Irregular Colorings of Graphs.

Research Interests

Publications (accepted)

1. Connectivity and giant components of Stochastic Kronecker Graphs (with S. Young). Journal of Combinatorics 6(4) (2015), 457-482.
2. The spectra of multiplicative attribute graphs (with S. Young). Linear Algebra and its Applications 462 (2014), 39-58.
3. On the spectra of general random graphs (with F. Chung) Electronic Journal of Combinatorics 18(1) (2011), P215.
4. Giant components in Kronecker graphs (with P. Horn) Random Structures and Algorithms 40(3) (2012), pp. 385-397.
5. Irregular colorings of graphs (with P. Zhang) Bulletin of the Institute of Combinatorics and its Applications. 49 (2007) 41-59.
6. On irregular colorings of graphs (with P. Zhang) AKCE International Journal of Graphs and Combinatorics. 3 (2006) 175-191.
7. On the irregular chromatic number of a graph (with F. Okamoto and P. Zhang) Congressus Numerantium. 181 (2006) 129-150.

Preprints (under review)

1. On expansion of G_{n, d} with respect to G_{m, d} (with I. Dumitriu). Preprint.
2. A linear k-fold Cheeger inequality (with F. Kenter). Preprint.
3. Bounds on Geometric Eigenvalues of Graphs (with C. Williamson). Preprint.

Works in preparation

1. Connectivity and giant components in random distance graphs (with J. Flynn and B. Oshiro).
2. On the diameter of randomly perturbed connected graphs (with S. Young).
3. Giant components in Multiplicative Attribute Graphs (with S. Young).
4. A k-fold Cheeger inequality (with F. Kenter)

Talks

• Nonlinear Expansion in random regular graphs, SIAM Discrete Math, Minneapolis, MN, June 2014.
• Random graphs with random vertex sets, Univ. of Louisville Combinatorics Seminar, April 2013
• Markov Chains in random attribute graphs, UW Combinatorics Seminar, April 2013
• Concentration in sums of Hermitian random matrices, AWM Research Symposium, March 2013
• Random graphs with random vertex sets, UW Probability Seminar, February 2013
• Connectivity and Giant Components in Stochastic Kronecker Graphs, SIAM Discrete Math, Halifax, NS, Canada, June 2012
• The Hadwiger-Nelson Problem, UC San Diego Food for Thought Seminar, April 2012
• The spectra of some random graph families, Joint Math Meetings, Boston, MA, January 2012
• The spectra of random graphs with general distributions, Fifth International Conference on Random Structures and Algorithms, Atlanta, GA, May 2011
• User-Friendly Tail Bounds for Sums of Random Matrices, UC San Diego combinatorics reading seminar, February 2011
• The Cycle Double Cover Conjecture, UC San Diego Food For Thought Seminar, April 2010
• Giant Components in Stochastic Kronecker Graphs, UC San Diego, Advancement to candidacy, March 2010
• Jug Problems and Algorithms, UC San Diego Food for Thought Seminar, January 2009
• Irregular Colorings of Graphs, 37th Southeastern International Conference on Combinatorics, Graph Theory, and Computing, Boca Raton, FL, March 2006

Research Activities

• Participant at Heidelberg Laureate Forum, Heidelberg, Germany, September 2014.
• Supervisor for summer research projects with undergraduate students, 2014:
  • Generalized Waxman Graphs: Ryan Dingman, Josh Flynn, Briana Oshiro
  • Properties of nonlinear spectral embeddings: Chris Williamson
• Organized minisymposium entitled “Spectral Graph Theory and Applications” at SIAM Discrete Math, 2014.
• Participant at AMS Mathematical Research Community in Network Sciences, Snowbird, UT, June 2014.
• Organized exercises for "Applications of Spectral Graph Theory" course taught by Fan Chung Graham, Spring 2011
• Co-organized combinatorics reading seminar at UC San Diego, Winter 2011
• Organized lecture notes for "Spectral Graph Theory" course taught by Fan Chung Graham, Spring 2009
• Co-organized combinatorics reading seminar at UC San Diego, Winter 2009
• Research Assistant, UC San Diego, Summers 2008-2011
• Participant, REU at Louisiana State University, Summer 2006

Teaching Experience

• Visiting Assistant Professor, Carnegie Mellon University, 2015-present.
  • Instruct course, write all course materials, hold office hours, grade exams
  • Courses: Calculus, Combinatorics


• Acting Assistant Professor, University of Washington, 2012-2015.
  • Instruct course, write all course materials, hold office hours, grade exams
  • Courses: Differential Equations, Linear Algebra, Intro Real Analysis, Discrete Mathematical Modeling, Fundamental Concepts of Analysis (year-long, Baby Rudin plus measure theory)


• Teaching Assistant, University of California, San Diego, 2007-2012
  • Instruct recitation, grade exams, hold office hours
  • Courses: Differential Calculus, Integral Calculus, Differential Equations, Linear Algebra, Applied Linear Algebra, Mathematical Reasoning, Intro to Analysis, Statistical Methods


• Associate Instructor, University of California, San Diego, Summer 2010, Fall 2010
  • Instruct course, write all course materials, hold office hours
  • Courses: Differential Equations, Multivariable Calculus


• Graduate Student Instructor, Western Michigan University, 2006-2007
  • Instruct course, grade all materials, hold office hours
  • Courses: College Algebra I and II


• Teaching Assistant, Western Michigan University, 2005-2006
  • Instruct recitation, grade all materials, hold office hours
  • Courses: Excursions in Mathematics (required for all non-science/non-business students)

Professional Activities

• UCSD AWM Chapter
  • Member (2007-2012)
  • Chapter Treasurer (2009-2010)
  • Chapter Secretary (2010-2011)
  • Co-wrote successful MAA Tensor Grant applications, secured matching funds.


• UCSD Food for Thought Seminar Co-Organizer (2009-2011)


• Pi Mu Epsilon
  • Member (2005-present)
  • Michigan Epsilon Chapter Vice-President (2005-2006)
  • Michigan Epsilon Chapter President (2006-2007)

Awards and Honors

• Western Michigan University Department of Mathematics Presidential Scholar (2006)


• Western Michigan University Undergraduate Research and Creative Activities Grant (2005)


• Western Michigan University Freshman/Sophomore Math Prize Exam Winner (2004, 2005)


• Western Michigan University Medallion Scholarship (2003)




Last updated: 10 Sep 2014.