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Award Abstract # 2213277
MPS-Ascend: Ergodic Schrödinger Operators and Quasicrystals

NSF Org: DMS
Division Of Mathematical Sciences
Recipient:
Initial Amendment Date: June 6, 2022
Latest Amendment Date: June 6, 2022
Award Number: 2213277
Award Instrument: Fellowship Award
Program Manager: Swatee Naik
snaik@nsf.gov
 (703)292-4876
DMS
 Division Of Mathematical Sciences
MPS
 Directorate for Mathematical and Physical Sciences
Start Date: August 1, 2022
End Date: July 31, 2025 (Estimated)
Total Intended Award Amount: $300,000.00
Total Awarded Amount to Date: $300,000.00
Funds Obligated to Date: FY 2022 = $300,000.00
History of Investigator:
  • Alberto Takase (Principal Investigator)
Recipient Sponsored Research Office: Takase, Alberto
IRVINE
CA  US  92617
Sponsor Congressional District: 47
Primary Place of Performance: Rice University
Houston
TX  US  77005-1891
Primary Place of Performance
Congressional District:
07
Unique Entity Identifier (UEI):
Parent UEI:
NSF Program(s): ASCEND - MPS
Primary Program Source: 010V2122DB R&RA ARP Act DEFC V
Program Reference Code(s): 102Z
Program Element Code(s): 187Y00
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.049

ABSTRACT

This award is funded in whole or in part under the American Rescue Plan Act of 2021 (Public Law 117-2). PI Takase is awarded a National Science Foundation Mathematical and Physical Sciences Ascending Postdoctoral Research Fellowship (NSF MPS-Ascend) to conduct a program of research and activities related to broaden participation by groups underrepresented in STEM. This fellowship to Dr. Takase supports the research project entitled "MPS-Ascend: Ergodic Schrödinger Operators and Quasicrystals", under the mentorship of two sponsoring scientists. At the first host institution, Michigan State University, Dr. Takase will work with the sponsoring scientist Dr. Ilya Kachkovskiy, from August 2022 through July 2023. Dr. David Damanik will be Dr. Takase?s sponsoring scientist at Rice University from August 2023 through July 2025.

The goal of this project is to investigate the spectral theory of ergodic Schrödinger operators, with a focus on explicit multi-dimensional operators that appear in quantum mechanics to model physical phenomena. The PI plans to study Laplacians on Penrose tilings to describe the topological structure of the spectrum, continuity of spectral characteristics of Schrödinger operators as the coupling constant approaches zero, and ergodic Schrödinger operators with separable potentials. The PI plans to engage with undergraduate research mentorship and professional development activities through directed reading programs. To broaden participation in mathematical and physical sciences, Dr. Takase brings insights from his own experience as a Mellon Mays Undergraduate Fellow and his engagement with middle school outreach as a graduate student member of a community educational outreach program called Math CEO. He has participated in several outreach activities at HSIs and HBCUs and plans to continue these initiatives in future.

This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

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