Daniel Massatt

Contact Info:

Address: Louisiana State University, Lockett Hall 344, Baton Rouge, LA 70802

Research Interests:

Numerical Analysis, Spectral Theory, Multiscale Modeling, Quantum Theory, Topological Insulators, Incommensurate Materials, Electronic Structure

Positions:

Assistant Professor, Mathematics Department - Louisiana State University, Baton Rouge, LA, USA [Aug. 2022 - Present]

Kruskal Instructor, Statistics Department - University of Chicago, Chicago, IL, USA [Sep. 2018 - Aug. 2022]

Education:

Ph.D. in Applied Mathematics - UNIVERSITY OF MINNESOTA, Twin Cities, MN, USA [Sep. 2013 - Aug. 2018] - Advisor: Dr. Luskin
M.A. in Applied Mathematics - UNIVERSITY OF CALIFORNIA, Los Angeles, CA, USA [Sep. 2009 - Jun. 2013]
B.S. in Applied Mathematics - UNIVERSITY OF CALIFORNIA, Los Angeles, CA, USA [Sep. 2009 - Jun. 2013]

Academic Honors:

SIAM Student Paper Prize
Mark Feshbach Fellow, University of Minnesota, Minneapolis
Daus Memorial Award for Performance in Mathematics, UCLA, LA
Mathematics Departmental Honors, UCLA, LA
Campus-Wide Honors, UCLA, LA
Alpha Lambda Delta & Phi Eta Sigma Honors Society
AP Scholars with Distinction

2019
Jun. 2013 - Jun. 2016
Jun. 2013
Jun. 2013
Jun. 2013
Sep. 2009
Sep.2009

Computer Skills:

Programming Languages: C/C++, MATLAB

Professional Experiences:

UNIVERSITY OF CALIFORNIA, Los Angeles, CA, USA [Sep. 2017 - Dec. 2017]
Participated in the IPAM long program on Complex High-Dimensional Energy Landscapes.

HARVARD, Cambridge, MA, USA [Sep. 2015 - May. 2016]
Visited E. Kaxiras’ Lab for 2D incommensurate materials collaboration.

UNIVERSITY OF WARWICK, Coventry, UK [Sep. 2014 - Dec. 2014]
Worked with Andrew Stuart on inverse problems.

ARGONNE NATIONAL LABORATORY, Lemont, IL, USA [Jun. 2014 - Aug. 2014]
Worked with Dmitry Karpeyev on solving the Helmholtz equation, and on coding unstructured multigrid in PETSc.

UNIVERSITY OF MINNESOTA, Minneapolis, MN, USA [Aug. 2013 - Aug. 2018]
Research Assistant for Mitchell Luskin, where I studied electronic structure for incommensurate 2D materials.

Paper Pre-Prints:

G. Bal, P. Cazeaux, D. Massatt, S. Quinn. Mathematical models of topological transport in twisted bilayer graphene. Pre-print: arXiv:2206.05580

T. Wang, H. Chen, D. Massatt, Aihui Zhou and Yuzhi Zhou. Convergence of the Planewave Approximations for Quantum Incommensurate Systems. Pre-print: arXiv:2204.00994

D. Massatt, S. Carr, M. Luskin. Electronic Observables for Relaxed Bilayer 2D Heterostructures in Momentum Space. Pre-print: arXiv:2109.15296

S. Fang, S. Carr, Z. Zhu, D. Massatt, E. Kaxiras. Angle-Dependent Ab initio Low-Energy Hamiltonians for a Relaxed Twisted Bilayer Graphene Heterostructure. Pre-print: arXiv:1908.00058

Publications:

D. Massatt, G. Bal. Multiscale Invariants of Floquet Topological Insulators. Multiscale Modeling & Simulations, 20(1):493-523, 2022.

S. Etter, D. Massatt, M. Luskin, C. Ortner. Modeling and computation of Kubo conductivity for Two-Dimensional Incommensurate Bilayers. Multiscale Modeling & Simulation 18(4):1525-1564 December 2020. DOI: https://doi.org/10.1137/19M1273499

Z. Zu, S. Carr, D. Massatt, M. Luskin, E. Kaxiras. Twisted Trilayer Graphene: A Precisely Tunable Platform for Correlated Electrons. Phys. Rev. Lett. 125, 116404 - Sep. 2020. DOI: 10.1103/PhysRevLett.125.116404

S. Carr, D. Massatt, M. Luskin, E. Kaxiras. Duality between atomic configurations and Bloch states in twistronic materials. Phys. Rev. Research 2, 033162 - July 2020. DOI: 10.1103/PhysRevResearch.2.033162

D. Massatt, S. Carr, M. Luskin. Efficient computation of Kubo conductivity for incommensurate 2D heterostructures. Eur. Phys. J. B (2020) 93: 60 - April 2020. DOI: 10.1140/epjb/e2020-100518-7

P. Cazeaux, M. Luskin, D. Massatt. Energy Minimization of Two Dimensional Incommensurate Heterostructures. Arch Rational Mech Anal 235, 1289–1325 (2020). DOI: 10.1007/s00205-019-01444-y

S. Carr, D. Massatt, S. B. Torrisi, P. Cazeaux, M. Luskin, and E. Kaxiras. Relaxation and domain formation in incommensurate two-dimensional heterostructures. Phys. Rev. B 98, 224102, Dec 2018. DOI: 10.1103/PhysRevB.98.224102

Carr S., Massatt D., Fang S., Cazeaux P., Luskin M., Kaxiras E. (2018) Modeling Electronic Properties of Twisted 2D Atomic Heterostructures. In: Bonilla L., Kaxiras E., Melnik R. (eds) Coupled Mathematical Models for Physical and Biological Nanoscale Systems and Their Applications. BIRS-16w5069 2016. Springer Proceedings in Mathematics & Statistics, vol 232. Springer, Cham. DOI: 10.1007/978-3-319-76599-0_13

D. Massatt, S. Carr, M. Luskin, and C. Ortner. Incommensurate Heterostructures in Momentum Space. Multiscale Modeling & Simulation 16:1, 429-451, 2018.

S. Carr, D. Massatt, S. Fang, P. Cazeaux, M. Luskin, and E. Kaxiras. Twistronics: Manipulating the electronic properties of two-dimensional layered structures through their twist angle. Phys. Rev. B, 95:075420, Feb 2017. DOI: 10.1103/PhysRevB.95.075420

D. Massatt, M. Luskin, and C. Ortner. Electronic Density of States for Incommensurate Layers. Multi-scale Modeling & Simulation, 15(1):476-499, 2017. DOI: 10.1137/16M1088363

Teaching Experience:

STAT 251: INTRODUCTION TO MATHEMATICAL PROBABILITY.
Instructor, University of Chicago [Fall 2018, Fall 2019, Fall 2020, Fall 2021]

MATH 211: BASIC NUMERICAL ANALYSIS.
Instructor, University of Chicago [Spring 2019, Spring 2021, Spring 2022]

STAT 31610: MATHEMATICAL ASPECTS OF ELECTRONIC STRUCTURE OF MATERIALS.
Instructor, University of Chicago [Fall 2020]

MATH 3593: HONORS MATHEMATICS II.
Teaching Assistant, University of Minnesota [Spring 2018]

Invited Talks:

PIMS/UBC Rising Stars Colloquium. (Upcoming)

UNC Charlotte Mathematics and Statistics Colloquium.
"Electronic Structure of Incommensurate 2D Heterostructures with Mechanical Relaxation." Mar. 2022

UBC Institute for Applied Mathematics Seminar.

“Electronic Structure of Incommensurate 2D Heterostructures with Relaxation.” Feb. 2022

LSU Mathematics Colloquium.
"Electronic Observables of Incommensurate 2D Heterostructures with Relaxation." [Jan. 2022]

NCSU Numerical Analysis Seminar.
"Electronics of Relaxed Bilayer 2D Heterostructures in Momentum Space." [Oct. 2021]

SIAM Conference on Mathematical Aspects of Material Science (MS21).
"Multiscale Invariants of Floquet Topological Insulators." [May 2021]

USACM New Trends and Open Challenges in Computational Mechanics:
from Nano to Macroscale. 10 minutes invited postdoc talk.
"Electronic Observables for Mechanically Relaxed Incommensurate Bilayers
using Momentum Space." [March. 2021]

SIAM Conference on Computational Science and Engineering (CSE21).
"Floquet TI: Approximate Topology in Laser-Driven Graphene." [March. 2021]

Beijing Normal University, Seminar - School of Mathematical Sciences.
"Multiscale Topological Invarinats of Floquet Topological Insulators." [Jan. 2021]

U-Chicago, CAM Colloquium: Kruskal Instructor Talks.
"Multiscale Topological Invariants of Floquet Topological Insulators." [Nov. 2020]

Texas A&M, Numerical Analysis Seminar.
"Momentum space in Relaxed Incommensurate Bilayers." [Nov. 2020]

IPAM, Theory and Computation for 2D Materials.
“Electronic Structure of Mechanically Relaxed Incommensurate Materials using Momentum Space.” [Jan. 2020]

SIAM Conference on Analysis of Partial Differential Equations PD19.
“Floquet TI: Laser-Driven Graphene Observables and Edge States.” [Dec. 2019]

UC Irvine, California. Seminar, Applied and Computational Mathematics.
“Electronic Structure of Relaxed Incommensurate 2D Heterostructures.” [Nov. 2019]

Tsinghua University, Beijing. Colloquium, Department of Mathematics.
“Electronic Structure of Relaxed Incommensurate 2D Heterostructures.” [Sep. 2019]

Institute of Computational Mathematics, Beijing. Seminar.
“Electronic Structure of Relaxed Incommensurate 2D Heterostructures.” [Sep. 2019]

Beijing Normal University, Beijing. Colloquium, Department of Mathematics.
“Electronic Structure of Relaxed Incommensurate 2D Heterostructures.” [Sep. 2019]

NNSF Conference on Mathematical and Numerical Analysis of Electronic Structure Models.
“Electronic Structure of Mechanically Relaxed Incommensurate Materials using Momentum Space.” [Jun. 2019]

SIAM Conference on Computational Science and Engineering (CSE19).
“Electronic Structure of Incommensurate Materials using Momentum Space.” [Feb. 2019]

SIAM Conference on Mathematical Aspects of Materials Science (MS18).
Modeling, analysis and numerical computation for 2D materials.
“Electronic Structure of Incommensurate Materials using Momentum Space.” [Jul. 2018]

Field Institute, Workshop on Analysis, Modeling, and Computation for Nanoscale Systems.
“Electronic Structure of Incommensurate Materials using Momentum Space.” [May. 2018]

University of North Carolina, Charolette. Colloquium, Department of Mathematics and Statistics.
“Electronic Structure of Relaxed Incommensurate 2D Heterostructures.” [Mar. 2018]

University of Columbia, Special Applied Mathematics Seminar.
“Electronic Structure of Relaxed Incommensurate 2D Heterostructures.” [Feb. 2018]

IMA, Mathematical Modeling of 2D Materials.
“Electronic Density of States for Incommensurate Layers.” [May. 2017]

SIAM Conference on Computational Science and Engineering (CSE17).
“Electronic Density of States for Incommensurate Layers.” [Feb. 2017]

BIRS, Conference on Coupled Mathematical Models for Physical and Biological Nanoscale Systems and Their Applications.
“Electronic Density of States for Incommensurate Layers.” [Sep. 2016]

In Preparation: