Tom VandenBoom

J. Willard Gibbs Assistant Professor of Mathematics, Yale University

Thesis advisor: David Damanik

A list of my papers on the arxiv

Articles in Preparation:

• Localization and Cantor spectrum for C^2 quasiperiodic discrete Schroedinger operators, with Yakir Forman (Yale).
• Bilateral periodicity for finite-gap reflectionless Jacobi operators, with Lance Saddler (Yale), Tony Zeng (Yale), and Richard Zhou (Yale).

Publications:

• Finite-gap CMV Matrices: Periodic coordinates and a Magic Formula, with Jacob S. Christiansen (Lund) and Benjamin Eichinger (Linz)  Int. Math. Res. Not. , rnz213, https://doi.org/10.1093/imrn/rnz213
  
• Positive Lyapunov exponents and a Large Deviation Theorem for continuum Anderson models, briefly, with Valmir Bucaj (US Military Academy), David Damanik (Rice), Jake Fillman (Texas State), Vitaly Gerbuz (Rice), Fengpeng Wang (Ocean U. of China), Zhenghe Zhang (UC Riverside).  J. Func. Anal., Vol. 277(9):3179--3186, 2019.
  
• Localization for the one-dimensional Anderson model via positivity and large deviation estimates for the Lyapunov exponent, with Valmir Bucaj (US Military Academy), David Damanik (Rice), Jake Fillman (Texas State), Vitaly Gerbuz (Rice), Fengpeng Wang (Ocean U. of China), Zhenghe Zhang (UC Riverside).  Trans. Amer. Math. Soc., Vol. 372(5):3619--3667, 2019.
  
• KdV hierarchy via Abelian coverings and operator identities, with Benjamin Eichinger (Linz) and Peter Yuditskii (Linz).  Trans. Amer. Math. Soc. Ser. B, Vol. 6:1--44, 2019.
  
• Spectral approximation for ergodic CMV operators, with Jake Fillman (Texas State) and Darren C. Ong (Xiamen U. Malaysia).  J. Math. Anal. Appl., 467(1):132--147, 2018
• Reflectionless discrete Schrödinger operators are spectrally atypical.  Comm. Math. Phys., 359(2):499--514, 2018.
  
• Almost periodicity in time of solutions of the Toda lattice, with Ilia Binder (Toronto), David Damanik (Rice), and Milivoje Lukic (Rice).  C. R. Math. Rep. Acad. Sci. Canada, Vol. 40(1):1--28, 2018.