Picture of me I'm an assistant professor in mathematics at the College of Staten Island, part of the CUNY system. My collaborators include Ioana Dumitriu, Soumik Pal, Chris Hoffman, Hanbaek Lyu, Elliot Paquette, Matt Junge, Larry Goldstein, and Raphaël Lachièze-Rey, Moumanti Podder, David Sivakoff, Fiona Skerman, Leo Rolla, and Erol Peköz.

I study probability and combinatorics. I'm currently teaching Math 123 and Math 301. For more about my research, see my c.v. and my papers below. You can also find all of my papers on my arXiv page.

Papers

  • Concentration inequalities from monotone couplings for graphs, walks, trees and branching processes, with Erol Peköz. arXiv
    Submitted.
  • Diffusion-limited annihilating systems and the increasing convex order, with Riti Bahl, Philip Barnet, and Matthew Junge. arXiv
    Submitted.
  • Continuous phase transitions on Galton–Watson trees. arXiv
    Accepted at Probability, Combinatorics and Computation.
  • Particle density in diffusion-limited annihilating systems, with Matthew Junge, Hanbaek Lyu, and David Sivakoff. arXiv
    Preprint.
  • 2020
    Random tree recursions: which fixed points correspond to tangible sets of trees?, with Moumanti Podder, and Fiona Skerman. arXiv
    Random Structures Algorithms, 56(3):796--837, 2020.
  • 2019
    Cover time for the frog model on trees, with Christopher Hoffman and Matthew Junge. arXiv
    Forum Math. Sigma, 7, e41 1--49, 2019.
  • Infection spread for the frog model on trees, with Christopher Hoffman and Matthew Junge. arXiv
    Electron. J. Probab., 24, no. 112 1–29, 2019.
  • Sensitivity of the frog model to initial conditions, with Leonardo T. Rolla. arXiv
    Electron. Commun. Probab., 24, no. 29 1-9, 2019.
  • 2018
    Stochastic orders and the frog model, with Matthew Junge. arXiv
    Ann. Inst. H. Poincaré Probab. Statist., 54(2):1013–1030, 2018.
  • Bounds to the normal for proximity region graphs, with Larry Goldstein and Raphaël Lachièze-Rey. arXiv
    Stochastic Process. Appl., 128(4):1208–1237, 2018.
  • Size biased couplings and the spectral gap for random regular graphs, with Nicholas Cook and Larry Goldstein. arXiv
    Ann. Probab., 46(1):72–125, 2018.
  • 2017
    Recurrence and transience for the frog model on trees, with Christopher Hoffman and Matthew Junge. arXiv
    Ann. Probab., 45(5):2826–2854, 2017.
  • Local limit of the fixed point forest, with Anne Schilling and Erik Slivken. arXiv
    Electron. J. Probab., 22 (2017), no. 18, 1–26.
  • 2016
    The critical density for the frog model is the degree of the tree, with Matthew Junge. arXiv
    Electron. Commun. Probab., 21 (2016), no. 82, 1–12.
  • From transience to recurrence with Poisson tree frogs, with Christopher Hoffman and Matthew Junge. arXiv
    Ann. Appl. Probab., 26(3):1260–1635, 2016.
  • The Marčenko-Pastur law for sparse random bipartite biregular graphs, with Ioana Dumitriu. arXiv
    Random Structures Algorithms, 48(2):313–340, 2016.
  • 2015
    Exchangeable pairs, switchings, and random regular graphs. arXiv
    Electron. J. Combin., 22(1):P1.33, 2015.
  • Quantitative small subgraph conditioning, with Elliot Paquette. arXiv
    Perpetual preprint.
  • 2014
    Cycles and eigenvalues of sequentially growing random regular graphs, with Soumik Pal. arXiv
    Ann. Probab., 42(4):1396–1437, 2014.
  • Eigenvalue fluctuations for random regular graphs. arXiv
    Ph.D. thesis, University of Washington, 2014.
  • 2013
    Functional limit theorems for random regular graphs, with Ioana Dumitriu, Soumik Pal, and Elliot Paquette. arXiv
    Probab. Theory Related Fields, 156(3–4):921–975, 2013.
  • 2009
    On universal cycles for multisets, with Glenn Hurlbert and Joshua Zahl. arXiv
    Discrete Math., 309::5321–5327, 2009.
  • 2007
    Cache-Oblivious Traversals of an Array's Pairs. pdf
    Undergraduate senior project.