Faculty Profile for Dr. Jake Fillman

profile photo for Dr. Jake Fillman
Dr. Jake Fillman
Assistant Professor — Mathematics
ELTB B311
phone: (512) 245-0838

Selected Scholarly/Creative Work

  • Fillman, J. D., & Han, R. (2020). Discrete Bethe-Sommerfeld conjecture for triangular, square, and hexagonal lattices. Journal d’Analyse Mathematique, 142(1), 271–321. https://doi.org/10.1007/s11854-020-0138-z
  • Damanik, D., Fillman, J. D., & Sukhtaiev, S. (2020). Localization for Anderson models on metric and discrete tree graphs. Mathematische Annalen, 376(3–4), 1337–1393. https://doi.org/10.1007/s00208-019-01912-6
  • Embree, M., & Fillman, J. (2019). Spectra of discrete two-dimensional periodic Schrödinger operators with small potentials. Journal of Spectral Theory, 9(3), 1063–1087. https://doi.org/10.4171/JST/271
  • Bucaj, V., Damanik, D., Fillman, J. D., Gerbuz, V., VandenBoom, T., Wang, F., & Zhang, Z. (2019). Localization for the one-dimensional Anderson model via positivity and large deviations for the Lyapunov exponent. Transactions of the American Mathematical Society, 372(5), 3619–3667.
  • Fillman, J. D., & Mei, M. (2018). Spectral Properties of Continuum Fibonacci Schrödinger Operators. Annales Henri Poincare, 19(1), 237–247. https://doi.org/10.1007/s00023-017-0624-8

Selected Awards

  • Award / Honor Recipient: Departmental Award For Research Excellence. December 2020
  • Award / Honor Recipient: Annales Henri Poincare Prize. 2014
  • Award / Honor Recipient: Virginia Tech Favorite Faculty Award. 2015

Selected Grants

  • Fillman, Jacob Daniel. Research Enhancement Program, Texas State University, Texas State University, $8000. (Funded: June 2021 - May 2022). Grant.
  • Fillman, Jacob Daniel. Spectral Properties of Ergodic Schr\"odinger Operators, Simons Foundation, $42000. (Submitted: January 18, 2020, Funded: September 1, 2020 - August 31, 2025). Grant.
  • Fillman, Jacob Daniel. AMS-Simons Travel Grant, $4800. (Funded: 2016 - 2018). Grant.
  • Fillman, Jacob Daniel, Damanik, David, Sukhtaiev, Selim. Ergodic Operators and Quantum Graphs, Simons Center for Geometry and Physics, $44950. (Funded: 2022). Grant.
  • Fillman, Jacob Daniel, Damanik, David, Gorodetski, Anton, Embree, Mark, Dyatlov, Semyon, Mei, May. Spectral properties of quasicrystals, American Institute of Mathematics, $12000. (Funded: 2021). Grant.