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**Quick announcement: I am seeking input from a graph theorist with expertise in the Fiedler vector. If this applies to you, I would appreciate you getting in touch. **
Interdisciplinary mathematician - theorist by training. Ph.D.,UC Berkeley. Ph.D., UC Berkeley; postdoctoral researcher at the University of Vienna. Actively exploring career opportunities that combine growth, impact, and stability.
neumana53 [at] univie [dot] ac [dot] at; marsneuman [dot] work [dot] gmail
US citizen, currently.
video1266009046.mp4Interests: (roughly) harmonic analysis (pure, applied, computational); graph-based learning; high dimensional probability; statistical optimal transport; information theory
--I'm currently exploring graph-based learning, spiking neural networks, agentic reasoning, wave packets, high dimensional geometry, and quantization. While my mathematical explorations are broad, they cluster around: analysis, probability, linear algebra, additive combinatorics, and some differential geometry/topology.--
Left: My talk at AI seminar - MacMaster U on contrastive learning
What's news (short list)
What's news (short list)
My paper on spiking neural networks accepted at JMLR
A new paper on transductive learning guarantees and small random worlds
My summary of the convergence of discrete harmonic extensions based on the paper of Bou-Rabee and Gwyne *first version, before the extensive update*
My thoughts on the interplay between Hebbian learning and preferrential attachment
A publication with Information and Inference: A Journal of IMA (DOI: 10.1093/imaiai/iaaf007)
A new paper on practical existence theorem (PET) employing Slepian basis functions and deep learning (2025)
A new paper exploring the theoretical foundation of contrastive learning (2025)
A new paper exploring learning with spiking neural networks (2024)
A new paper exploring learning guarantees through the lenses of metric embedding theory and statistical OT (2024)
(Expecting soon)
A new paper on consistency of graph-based algorithms
A new paper on spiking neural networks
A new paper on probing internal looped reasoning dynamics
Current collaboration network
Current collaboration network
Philipp Petersen -- University of Vienna
Anastasis Kratsios -- McMaster University & Vector Institute
Simone Brugiapaglia -- Concordia University
Jason Bramburger -- Concordia University
Jeff Calder -- University of Minnesota
Chenghui Li -- University of Wisconsin-Madison
Shashank Sule -- University of Maryland
Giulia Livieri -- London School of Economics and Political Science
Nils Detering -- Heinrich Heine University Düsseldorf
Luca Galimberti -- King's College London
Azita Mayeli -- City University of New York
Arie Israel -- University of Texas-Austin
Kevin Hughes -- Edinburgh Napier University
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