Naren Manjunath's Academic Page

Hello! I am a Postdoctoral Fellow at the Perimeter Institute for Thoretical Physics in Waterloo, Canada (2023-present). Before this, I was a PhD student at the University of Maryland, College Park (2017-present) and was advised by Prof. Maissam Barkeshli, in the Condensed Matter Theory Center. I completed my undergraduate degree in Physics at the Indian Institute of Science, Bangalore (2013-2017). I also grew up in Bangalore, which is known for its excellent weather and terrible traffic.

I work on the theory of topological phases of matter. My CV is available here. See the research page for more details about my work. My email is nmanjunath<at>perimeterinstitute<dot>ca .

Research activity (2023 onwards)

June 2024: I gave an invited talk on 'Crystalline topological invariants of integer and fractional Chern insulators' at the Yukawa Institute for Theoretical Physics in Kyoto, as part of a workshop on 'Recent Developments and Challenges in Topological Phases'. See slides
May 2024: New paper on ArXiv, 'Crystalline invariants of Fractional Chern Insulators' (joint with Ryohei Kobayashi, Yuxuan Zhang and Maissam Barkeshli). See link
Feb 2024: I gave seminars on `New topological invariants from crystalline quantum states' at the Tata Institute of Fundamental Research, Mumbai and at the Indian Institute of Science, Bangalore. I also gave a more popular talk to undergraduates at the Azim Premji University in Bangalore, titled 'New species of butterflies in crystalline quantum states'.
Jan 2024: Our paper, 'Characterization and classification of interacting topological crystalline insulators in (2+1)D with orientation preserving wallpaper groups' (joint with Vladimir Calvera and Maissam Barkeshli), was published in PRB! See link
Oct 2023: Our work, 'Complete crystalline topological invariants from partial rotations in (2+1)D invertible fermionic topological states and Hofstadter's butterfly' (joint with Yuxuan Zhang, Ryohei Kobayashi and Maissam Barkeshli) was published in PRL! See link
Sep 2023: New paper on ArXiv, 'Characterization and classification of interacting topological crystalline insulators in (2+1)D with orientation preserving wallpaper groups' (joint with Vladimir Calvera and Maissam Barkeshli). See link
Sep 2023: I have moved to Waterloo, Canada! I will be starting as a Postdoctoral Fellow at the Perimeter Institute for Thoretical Physics.
July 2023: Our work on crystalline topological invariants was featured in a popular article on UMD's Joint Quantum Institute website. See link
July 2023: Our work, 'Quantized charge polarization as a many-body invariant in (2+1)D crystalline topological states and Hofstadter butterflies', joint with Yuxuan Zhang, Gautam Nambiar, and Maissam Barkeshli, was published in PRX! See link
May 2023: I defended my PhD! My thesis is titled 'Classification and characterzation of crystalline topological invariants in quantum many-body states'. I will be moving to the Perimeter Institute in Waterloo, Canada, as a postdoctoral fellow starting September 2023.
May 2023: Our work, 'Rotational symmetry protected edge and corner states in Abelian topological phases', joint with Abhinav Prem and Yuan-Ming Lu, was published in PRB. See link
April 2023: Our work, 'Nonperturbative constraints from symmetry and chirality on Majorana zero modes and defect quantum numbers in (2+1) dimensions', joint with Vladimir Calvera and Maissam Barkeshli, was published in PRB. See link
March 2023: New paper on ArXiv, 'Complete crystalline topological invariants from partial rotations in (2+1)D invertible fermionic topological states and Hofstadter's butterfly' (joint with Yuxuan Zhang, Ryohei Kobayashi and Maissam Barkeshli). See link
Feb 2023: I gave a seminar at the Institute for Advanced Study, Princeton, on 'Computation on crystalline topological invariants from lattice defects'.

Older news

Dec 2022: Our work, 'Fractional disclination charge and discrete shift in the Hofstadter butterfly', joint with Yuxuan Zhang, Gautam Nambiar, and Maissam Barkeshli, was published in PRL. See link
Dec 2022: I gave a seminar at the Perimeter Institute, Waterloo, on 'Discrete shift and quantized charge polarization: new invariants in crystalline topological states'. See video
June 2022: Our work, 'Classification of invertible (2+1)D fermionic topological phases with symmetry', joint with Maissam Barkeshli, Yu-An Chen, and Po-Shen Hsin, was published in PRB as an Editor's Suggestion.
May 2022: I gave a seminar at the Simons Center for Geometry and Physics, Stony Brook, on 'Fractional disclination charge and discrete shift in the Hofstadter butterfly'. See video
Jan 2021: Our work, 'Crystalline gauge fields and quantized discrete geometric response for Abelian topological phases with lattice symmetry', with Maissam Barkeshli, was published in Phys. Rev. Research. See link

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