
Valmir Bucaj
2018-Present:
Assistant Professor of Mathematics
United States Military Academy
West Point
2018-Present:
Assistant Professor of Mathematics
United States Military Academy
West Point
PhD, Rice University
- Thesis title: Anderson localization for discrete one dimensional random operators
- Adviser: David Damanik
Research Interests
- Spectral theory of random Jacobi operators
- Anderson localization
Related Interests
- Machine Learning
- Deep Learning
- Sentiment Analysis
Publications
- The Kunz-Souillard approach to localization for Jacobi operators. Oper. Matrices.Volume 12, Number 4(2018), 1099-1127
Preprints
- Localization for the one-dimensional Anderson model via positivity and large deviations of the Lyapunov exponent (with D. Damanik, J. Fillman, V. Gerbuz, T. VandenBoom, and Z. Zhang) arXiv:1706.06135v2(2017) (Submitted)
- On the Kunz-Souillard approach to localization for the discrete one dimensional generalized Anderson model. arXiv:1608.01379. Aug. 3, 2016 (Submitted)
Undergraduate and REU publications
- Finding Factors of Factor Rings over Eisenstein Integers. Int. Math. Forum.Vol. 9, 2014, no. 31, 1521 - 1537
- Embeddedness for singly periodic Scherk surfaces with higher dihedral symmetry. Involve, 6 (2013) 383-392 (with Sarah Cannon, Michael Dorff, Jamal Lawson, and Ryan Viertel)
Invited Talks
- Lyapunov exponent for the generalized discrete Anderson model. AMS Special Session on Spectral Theory, Disorder, and Quantum Physics. JMM, January 11th, 2018. San Diego.
- Localization for the 1D Anderson model via positivity and LDT of the Lyapunov exponent. TexAMP, UT Austin, Nov. 4th, 2017
- On the Kunz-Souillard approach to Anderson localization for Schr\"odinger operators. University of Alabama at Birmingham. Sept 22nd, 2016.
- Localization for the discrete generalized Anderson model via Kunz-Souillard method. PDE/Analysis Mini-school. UNC, Chapel Hill, Oct 27-28, 2016
Selected Conferences and Workshops Attended
- Analysis and Geometry on Graphs and Manifolds, University of Potsdam, Germany, Aug. 2017
- Great Lakes Mathematical Physics Meeting, Michigan State University, June 2017.
- PDE/Analysis Mini-School. Random Schrödinger operators: Basic properties, localization, and spectral statistics. UNC Chapel Hill, Oct. 27-28, 2016
- Frontiers in Mathematical Physics, Centre de Recherches Mathématiques, Université de Montréal, Aug. 28-Sept 2nd. 2016.
- Methods of Modern Mathematical Physics--A Young Researcher's Symposium. Fields Institute, Toronto. Aug. 22-26. 2016.
- The Texas Analysis and Mathematical Physics Symposium, UT Dallas, TX (Nov. 2015)
- Workshop in Periodic and Ergodic Spectral Problems, Issac Newton Institute for Mathematical Sciences, Cambridge, UK (Jan. 5th-16th).
- The Texas Analysis and Mathematical Physics Symposium, UT Austin, TX (Nov. 2014)
Contact Info:
Email: valmir (dot) bucaj (at) usma (dot) edu
Office 218
Department of Mathematical Sciences
United States Military Academy
West Point, NY
Email: valmir (dot) bucaj (at) usma (dot) edu
Office 218
Department of Mathematical Sciences
United States Military Academy
West Point, NY